0:00:06 | thank you for the uh |
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0:00:07 | invitation to be here uh i it did come as a |
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0:00:11 | surprised because as you know uh |
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0:00:13 | uh immediately appreciate are not uh |
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0:00:15 | uh a voice |
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0:00:16 | or language recognition |
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0:00:19 | person uh but right from day one i realise that there are lots of issues uh circulating here but uh |
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0:00:24 | related to things that we've had to uh |
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0:00:27 | struggle with in connection with yeah |
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0:00:29 | i'm not even a D N A evidence |
---|
0:00:31 | person mainly i work in a kind of medical genetics context and my main uh brighton but work is |
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0:00:37 | you know looking for disease genes and cool you know 'cause |
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0:00:40 | the fixed |
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0:00:40 | tween |
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0:00:41 | genes an interesting uh phenotype |
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0:00:43 | uh but i've long had an interest in the interpretation of |
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0:00:47 | D N A evidence |
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0:00:48 | and uh |
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0:00:49 | try to contribute a uh |
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0:00:51 | a lot to the developments in the field over there |
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0:00:53 | oh the yeah it is and i'm pleased to say that |
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0:00:56 | we have made a |
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0:00:57 | a lot of progress |
---|
0:00:59 | um it's also clear that uh people in this |
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0:01:02 | uh community here have made a lot of progress in trying to get |
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0:01:06 | uh the |
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0:01:07 | the field on |
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0:01:09 | what i would regard as a more rigorous footing in terms of the |
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0:01:13 | interpretation and i i'm thinking |
---|
0:01:15 | uh in a second frames the context of all the evidence |
---|
0:01:18 | that will be |
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0:01:20 | comprehensible and meaningful in whole |
---|
0:01:23 | uh and so i've done a little bit of background reading of uh |
---|
0:01:28 | uh oh |
---|
0:01:29 | interesting our work in the field by F and what team and several other people here |
---|
0:01:34 | and so uh |
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0:01:35 | it's clear that i you know don't |
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0:01:36 | have |
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0:01:37 | much to say about the |
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0:01:39 | the basics but what i thought |
---|
0:01:41 | i would um |
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0:01:42 | do is take a some slightly contrary in position and uh i would say there seems to be uh uh |
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0:01:48 | a kind of sense i got from the reading that the that the |
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0:01:51 | that the grass is greener in the next field uh |
---|
0:01:54 | that uh everything is solved and works very well |
---|
0:01:57 | for deny evidence and and uh i'm going to tell you that that's not the case uh it's |
---|
0:02:02 | very complicated and messy there are some compromises that |
---|
0:02:05 | that's all for work |
---|
0:02:07 | uh |
---|
0:02:07 | we are saved |
---|
0:02:09 | to a large extent by the |
---|
0:02:11 | evidenced by the by the fact that D N A evidence is in general very good |
---|
0:02:14 | evidence uh |
---|
0:02:16 | and very powerful |
---|
0:02:17 | uh and so even if you make a mess of the interpretation |
---|
0:02:21 | uh the ultimate outcome might not be the wrong one but that's not always the case uh |
---|
0:02:25 | and |
---|
0:02:26 | actually the reality in courts today of the presentation of D N A evidence |
---|
0:02:31 | it's still pretty dismal uh |
---|
0:02:33 | and it doesn't matter when i get to the end are we talking about the |
---|
0:02:37 | the latest generation of low template D N A evidence |
---|
0:02:40 | where |
---|
0:02:41 | very small amounts of D N A lots of stochastic |
---|
0:02:43 | effect |
---|
0:02:44 | uh and lots of |
---|
0:02:45 | complications |
---|
0:02:46 | so |
---|
0:02:47 | um |
---|
0:02:48 | those of you who are paying careful attention my |
---|
0:02:51 | recognised some of the |
---|
0:02:53 | whatever it in some of the children's change my tackles |
---|
0:02:55 | uh |
---|
0:02:56 | somewhat instead of talking i've talked about comparisons here instead of recognition so we we have the same debate in |
---|
0:03:02 | indeed evidence that we shouldn't talk about deny identification because |
---|
0:03:06 | identification is |
---|
0:03:07 | is not possible and not the business of the scientific expert |
---|
0:03:11 | um |
---|
0:03:13 | personally i'm a bit more |
---|
0:03:14 | lack some light on happy to use words that make sense the general public even if |
---|
0:03:18 | uh we have to be careful about understanding uh |
---|
0:03:20 | what they really mean but anyway you know |
---|
0:03:22 | acknowledgement here i put voice comparison might happen |
---|
0:03:25 | but in the end although my goal was to try and think about relationships |
---|
0:03:29 | between |
---|
0:03:30 | D N A evidence and uh and voice evidence |
---|
0:03:33 | all the basic work has already been done by people here and i didn't feel i had very much the |
---|
0:03:37 | way |
---|
0:03:37 | so i'm really just gonna restrict myself to talking about the you know evidence |
---|
0:03:41 | some of the problems that we've had |
---|
0:03:42 | some of |
---|
0:03:43 | my views on how well come them |
---|
0:03:45 | uh and then we leave for the discussion uh |
---|
0:03:48 | uh |
---|
0:03:49 | the possibility for people to really raise parallels and you go advised me not to leave any time for discussion |
---|
0:03:54 | because it's a very controversial area but uh i'm going |
---|
0:03:57 | i'm going to try and take the risk |
---|
0:03:59 | uh but uh |
---|
0:04:01 | in fact |
---|
0:04:02 | i packed quite a lot of uh |
---|
0:04:03 | stuff into my slides and sounds to me a bit louder again |
---|
0:04:06 | down |
---|
0:04:07 | just move it down a little bit |
---|
0:04:08 | um |
---|
0:04:09 | the um |
---|
0:04:11 | and i i wouldn't have time to get through it all properly |
---|
0:04:14 | but |
---|
0:04:14 | the um |
---|
0:04:16 | you have the luxury of knowing that |
---|
0:04:18 | uh you don't have to really get to grips with all of this material i just wanna give you the |
---|
0:04:22 | the flavour of |
---|
0:04:23 | things |
---|
0:04:24 | the problems |
---|
0:04:24 | we worry about |
---|
0:04:26 | and uh historical |
---|
0:04:28 | perspectives on the go back right to the sort of beginning of time so to speak of this whole um |
---|
0:04:33 | weight of evidence academic literature a lot of it springs from this famous case uh |
---|
0:04:38 | in california in the nineteen sixty eight |
---|
0:04:41 | uh i could define how about all the papers written about how to interpret the evidence in this case correctly |
---|
0:04:46 | it would |
---|
0:04:47 | would go up to the roof and it wouldn't reach a conclusion the famous uh uh saying about the colours |
---|
0:04:52 | because |
---|
0:04:52 | uh it it is a very very interesting case uh i i mean i think you get the details just |
---|
0:04:56 | from there that |
---|
0:04:57 | numbers one made up |
---|
0:04:59 | uh that might be associated with frequencies for various traits |
---|
0:05:03 | that the defendants possessed |
---|
0:05:05 | and |
---|
0:05:06 | uh it was claimed the uh the true criminals also possessed |
---|
0:05:10 | uh and you know it's lots of fun you can give this to students 'cause there's lots of things wrong |
---|
0:05:14 | with this you know obviously those probabilities of just made up obviously independence is a problem |
---|
0:05:19 | but this sort of more fundamental issues uh every packet |
---|
0:05:22 | wave my magic wand and get rid of those problems and if those really work through probabilities and they really |
---|
0:05:27 | were independent |
---|
0:05:28 | um |
---|
0:05:29 | what would the number you get by multiplying these probabilities |
---|
0:05:33 | together what would it be |
---|
0:05:34 | uh and |
---|
0:05:36 | how does it relate |
---|
0:05:38 | to the juror or the finder of fact |
---|
0:05:40 | problem |
---|
0:05:40 | of deciding whether the computer |
---|
0:05:42 | well i'm i'm not gonna answer that problem |
---|
0:05:44 | for you here entirely but uh |
---|
0:05:46 | it's an interesting and and uh and difficult problem |
---|
0:05:50 | but |
---|
0:05:50 | certainly one version |
---|
0:05:52 | to answering it |
---|
0:05:53 | uh |
---|
0:05:54 | and and one branch |
---|
0:05:56 | of the academic literature |
---|
0:05:58 | but i'm sort of merging things here that slightly uh |
---|
0:06:01 | there there was |
---|
0:06:02 | uh |
---|
0:06:04 | um |
---|
0:06:05 | developed slightly differently but the the the sort of canonical problem for D N A evidence is uh |
---|
0:06:10 | we've got |
---|
0:06:11 | a sample left |
---|
0:06:12 | sign |
---|
0:06:13 | yeah |
---|
0:06:13 | crime scene |
---|
0:06:14 | uh we've already had some discussion of the notion of a match |
---|
0:06:18 | is meaningful for D N A evidence not always |
---|
0:06:21 | um not follow template in a of and |
---|
0:06:23 | stochastic |
---|
0:06:23 | fixed |
---|
0:06:24 | not for the older form of D N A profiles that was in use |
---|
0:06:27 | in the early nineteen nineties and is still occasionally |
---|
0:06:30 | crops up |
---|
0:06:31 | but let's just |
---|
0:06:32 | he rarely all the idea that you know there is a notion of a match of a yes no answer |
---|
0:06:37 | uh and we've got some frequency information again um |
---|
0:06:40 | let's not worry about where this frequency information comes from just believe it for the moment |
---|
0:06:45 | um |
---|
0:06:46 | and so |
---|
0:06:47 | you know how |
---|
0:06:48 | how convinced |
---|
0:06:49 | should you be i think the sort of fallacy that uh many people has already been alluded to here is |
---|
0:06:55 | to think well one and it's pretty small |
---|
0:06:57 | so he must be guilty |
---|
0:06:58 | a what you know what is that sort of logic there and |
---|
0:07:02 | that was a bit of a |
---|
0:07:04 | and academic literature a fun discussion that went on |
---|
0:07:07 | a quite a few years um |
---|
0:07:09 | it's uh |
---|
0:07:11 | in retrospect the answers |
---|
0:07:12 | seems very easy and you wonder how we manage to argue about it for quite a number of years but |
---|
0:07:17 | uh of the uh |
---|
0:07:18 | but uh anyway that's what economics uh and therefore and uh finding out |
---|
0:07:22 | uh problems to argue over and |
---|
0:07:24 | i can't consensus |
---|
0:07:26 | eventually emerged around the |
---|
0:07:29 | you know what |
---|
0:07:30 | from uh |
---|
0:07:31 | and orthodox |
---|
0:07:32 | uh |
---|
0:07:33 | bayesian position would be a kind of standard and straightforward response |
---|
0:07:37 | you should be using |
---|
0:07:38 | base there but uh and i put one version of it there um |
---|
0:07:43 | you can so |
---|
0:07:45 | uh introduce some notations C is the name of the person who committed the crime |
---|
0:07:50 | or let's say of course |
---|
0:07:52 | being the source of the D N A is not logically equivalent to committing the crime will just suppose it |
---|
0:07:56 | is here |
---|
0:07:56 | um and S it's the name of the |
---|
0:07:59 | of the |
---|
0:07:59 | offended |
---|
0:08:01 | uh |
---|
0:08:02 | and |
---|
0:08:03 | there are some subtleties and difficulties built into here i'm gonna spend a little bit more time and |
---|
0:08:08 | talking about |
---|
0:08:09 | uh and that revolves around the idea of |
---|
0:08:12 | of what is the |
---|
0:08:13 | alternate hypothesis |
---|
0:08:15 | uh |
---|
0:08:16 | so |
---|
0:08:18 | in um |
---|
0:08:20 | as i i've already uh mentioned earlier this idea that i i think there's a bit of an impression |
---|
0:08:24 | that the you know the grass is greener in the next field and things are easy if the D N |
---|
0:08:28 | A evidence but one of the things that's uh |
---|
0:08:30 | that's not easier in some uh is |
---|
0:08:33 | this uh |
---|
0:08:33 | specifying of the alternate hypothesis and |
---|
0:08:35 | and the uh |
---|
0:08:37 | can be |
---|
0:08:37 | why uh |
---|
0:08:39 | i difficulty logically |
---|
0:08:40 | uh in a number of ways |
---|
0:08:43 | uh but yeah |
---|
0:08:44 | i'm going to assume so so in the |
---|
0:08:47 | the |
---|
0:08:48 | this |
---|
0:08:48 | the speech recognition literature people have been happy to just posit that the |
---|
0:08:52 | the null hypothesis the prosecution hypothesis if you like the same source |
---|
0:08:56 | that the uh |
---|
0:08:58 | uh queried rick |
---|
0:08:59 | uh voice and the suspect's voice uh |
---|
0:09:02 | come from the same individual |
---|
0:09:03 | or different source |
---|
0:09:05 | um |
---|
0:09:06 | four |
---|
0:09:07 | you know evidence at least |
---|
0:09:08 | it can be that simple |
---|
0:09:10 | and uh i've chosen to break down the whole time to type up |
---|
0:09:13 | this year |
---|
0:09:14 | into |
---|
0:09:15 | a number of hypotheses of the form X did it for various things |
---|
0:09:20 | uh but |
---|
0:09:21 | for more complex problems there are different ways uh to break down the evidence |
---|
0:09:26 | uh the alternative hypotheses |
---|
0:09:28 | for example if there uh multiple |
---|
0:09:31 | uh do you know samples which is often the case there are lots of alternatives around |
---|
0:09:35 | different contributors to the different samples you know just uh |
---|
0:09:39 | often it's just assumed implicitly that there's a single contributor |
---|
0:09:42 | but for mixed samples |
---|
0:09:43 | that's not at all straightforward |
---|
0:09:45 | uh there's different alternative hypotheses a around uh |
---|
0:09:49 | relatedness |
---|
0:09:50 | and there's different alternative hypotheses around the number of contributors to the sample |
---|
0:09:55 | um |
---|
0:09:56 | but um |
---|
0:09:58 | in this form here |
---|
0:09:59 | i'm just thinking about breaking down the alternate hypotheses into all the individuals who it could have been |
---|
0:10:04 | and we have to add up |
---|
0:10:05 | over these uh evidence |
---|
0:10:07 | um |
---|
0:10:09 | logically you have to add up of everyone on a |
---|
0:10:12 | uh and uh |
---|
0:10:13 | and that this idea came up actually in a court |
---|
0:10:16 | S and the judge was horrified at the idea that he has to sit there and think yeah |
---|
0:10:19 | uh about every person on a one at a time |
---|
0:10:23 | uh but i wanna emphasise this point that logically you |
---|
0:10:26 | have to |
---|
0:10:26 | um |
---|
0:10:27 | the |
---|
0:10:28 | if you want to prove |
---|
0:10:30 | that particular individual is the source of your D enable the source of your voice recording |
---|
0:10:35 | logically that means that everyone else on the |
---|
0:10:38 | is not the source |
---|
0:10:39 | and also alternate hypotheses around |
---|
0:10:42 | uh you know synthetic um voice fabrication on these kind of things all of those hypotheses |
---|
0:10:47 | uh have to be ruled out in order to establish the one type of |
---|
0:10:51 | do you |
---|
0:10:51 | care about |
---|
0:10:54 | um |
---|
0:10:55 | so a little bit of uh |
---|
0:10:58 | manipulation we can right now |
---|
0:11:01 | formula |
---|
0:11:02 | like this |
---|
0:11:03 | in uh again this is kind of just |
---|
0:11:05 | uh |
---|
0:11:05 | classic uh |
---|
0:11:06 | way of breaking down the evidence |
---|
0:11:08 | uh uh breaking down the calculation in bayes theorem |
---|
0:11:11 | and the idea is to introduce some notation here i put a whole the likelihood ratio |
---|
0:11:16 | and again i want to emphasise that isn't one likelihood ratio there are many and we count |
---|
0:11:22 | that is difficult problem of how to combine the like |
---|
0:11:24 | ratios |
---|
0:11:25 | uh although we we we |
---|
0:11:27 | we'd like to |
---|
0:11:28 | um |
---|
0:11:29 | i'm thinking |
---|
0:11:31 | in terms of the |
---|
0:11:32 | D N A evidence being interpreted last |
---|
0:11:34 | and so |
---|
0:11:35 | this other ratio the prior |
---|
0:11:37 | i'm thinking all those incorporating all the other evidence i mean there's no |
---|
0:11:41 | logical reason |
---|
0:11:42 | for doing it that way around of course that's |
---|
0:11:43 | it's a nice |
---|
0:11:44 | coherence property of |
---|
0:11:46 | of the bayesian analysis you don't |
---|
0:11:48 | two one |
---|
0:11:50 | uh you get the same answer which |
---|
0:11:52 | whichever order you analyse the other |
---|
0:11:54 | um |
---|
0:11:55 | and in order to get it in this form you need to make a |
---|
0:11:58 | uh assumption uh |
---|
0:12:00 | various uh uh independence |
---|
0:12:02 | some some |
---|
0:12:03 | we could argue about that scene |
---|
0:12:04 | generally reason |
---|
0:12:06 | here |
---|
0:12:08 | some putting the um |
---|
0:12:11 | the |
---|
0:12:12 | no getting to be able to write |
---|
0:12:14 | uh weight of evidence in this form in a kind of forensic setting |
---|
0:12:18 | was a pretty big uh |
---|
0:12:20 | step for all that it took yeah |
---|
0:12:22 | many years and lots of arguments and so on but it's |
---|
0:12:25 | you know pretty much accepted amongst a bigger |
---|
0:12:28 | community nowadays and |
---|
0:12:30 | it overcame a lot of problems that people |
---|
0:12:32 | uh struggled with i mean i've been in the field so long now that it's |
---|
0:12:36 | sort of hard to remember how difficult some of these troubles were |
---|
0:12:40 | um |
---|
0:12:41 | but uh you know this basic idea that i nations you to well one in a million is really small |
---|
0:12:45 | he must be guilty |
---|
0:12:46 | uh |
---|
0:12:48 | it's not it's not true and people didn't know how to think about that |
---|
0:12:52 | uh until we were able to formalise the problem in this way |
---|
0:12:56 | uh and now it seems pretty easy to think about it for |
---|
0:13:00 | again this is a simplification in the general problem is not that simple but one way to think about is |
---|
0:13:05 | how many alternate suspects |
---|
0:13:06 | there are |
---|
0:13:07 | uh and |
---|
0:13:09 | you under some simplifying assumptions |
---|
0:13:12 | you were essentially add up the likelihood ratio of a your alternative suspects |
---|
0:13:17 | and so |
---|
0:13:18 | a likelihood ratio |
---|
0:13:20 | or one over a million |
---|
0:13:22 | isn't convincing uh if |
---|
0:13:24 | the number of alternate suspects |
---|
0:13:26 | is larger very |
---|
0:13:28 | into the time that there's you know no fundamental logical problem here about this uh |
---|
0:13:32 | nice uh |
---|
0:13:33 | distinction about between the role of the experts and the role of the |
---|
0:13:37 | of the of the finder of fact |
---|
0:13:39 | oh come back to that but but |
---|
0:13:41 | uh you know this is certainly an only true under some simplifying assumptions |
---|
0:13:45 | and whenever if i kind of present this idea in court |
---|
0:13:48 | i have to sort of be careful about wording like if you choose to assume that all the alternate suspects |
---|
0:13:53 | are equally likely |
---|
0:13:54 | uh then you come up with a formula like this |
---|
0:13:57 | of course nowadays um |
---|
0:13:59 | likelihood ratios |
---|
0:14:01 | a much |
---|
0:14:02 | bigger or smaller whichever way you do them around uh and one million |
---|
0:14:05 | uh and so uh |
---|
0:14:08 | tip in typical cases the problem has |
---|
0:14:11 | vanished but again i wanna emphasises lots of cases out there would mix profile small amounts of D N A |
---|
0:14:16 | complex relatedness |
---|
0:14:18 | we're all these issues still matter |
---|
0:14:21 | uh |
---|
0:14:22 | the role of relatives so that was a |
---|
0:14:25 | again much confusion about this than in the past |
---|
0:14:29 | uh |
---|
0:14:30 | this nice uh |
---|
0:14:31 | formalisation in terms of bayes theorem |
---|
0:14:34 | i want i might slip into this |
---|
0:14:36 | language but another point four |
---|
0:14:38 | for discussion is i don't think |
---|
0:14:40 | what i'm doing is fundamentally bayesian i tend to avoid |
---|
0:14:44 | the label bayesian the way i'm just using bayes theorem and its |
---|
0:14:46 | theorem probability that all uh |
---|
0:14:49 | or uh or light here it's the model |
---|
0:14:51 | mathematical probability except |
---|
0:14:53 | uh in fact i would say my approach is fundamentally non bayesian in ways that i will point out uh |
---|
0:14:58 | want to later |
---|
0:15:00 | uh i just remembered now i forgot to put a slide on this there was a mention of it uh |
---|
0:15:04 | that there was a big uh |
---|
0:15:05 | court case um |
---|
0:15:07 | in the U K a number of years ago where |
---|
0:15:09 | the uh |
---|
0:15:11 | that was strong D N A evidence implicating implicating a defendant |
---|
0:15:15 | but it was quite a substantial amount of evidence in his favour any particular |
---|
0:15:19 | uh the victim of this crime gave a good description of the defended |
---|
0:15:22 | uh of the of the attack uh and the defendant didn't match you know gross mismatch |
---|
0:15:27 | between the description and what he looked like |
---|
0:15:29 | but she also said in court this does not resemble them and |
---|
0:15:33 | you know he does not resemble the man |
---|
0:15:35 | attack |
---|
0:15:35 | since i wasn't interested it doesn't resemble |
---|
0:15:37 | the man that attacked me and |
---|
0:15:39 | so uh and he had an alibi and |
---|
0:15:42 | wasn't near the scene of the crime at the time and so |
---|
0:15:45 | um quite a complicated case went to summary trials and uh |
---|
0:15:49 | the um i wasn't involved in that case but the the defence expert actually |
---|
0:15:54 | uh proposed at all the jurors through |
---|
0:15:56 | a bayes theorem calculation |
---|
0:15:58 | uh with likelihood ratios for |
---|
0:16:01 | the wood |
---|
0:16:01 | description on likelihood ratios for the uh |
---|
0:16:04 | for the D N A evidence |
---|
0:16:05 | uh and likelihood ratios for the alibi evidence |
---|
0:16:08 | and suggesting values and the jurors were asked to multiply them together |
---|
0:16:12 | and the judge got quite enthusiastic about this and ordered somebody to go out and buy doesn't calculators for the |
---|
0:16:17 | jurors to uh |
---|
0:16:18 | multiply the numbers together but uh the judge kept getting zero and uh when he tried to do the calculation |
---|
0:16:24 | himself |
---|
0:16:25 | uh |
---|
0:16:25 | anyway the um |
---|
0:16:27 | uh |
---|
0:16:28 | the guy was uh was convicted |
---|
0:16:30 | but it went to appeal and the appeal court was sort of |
---|
0:16:32 | horrified absolutely horrified about this uh complicated mathematical stuff that these uh wise all judges didn't understand |
---|
0:16:39 | uh was uh about having this in court and so |
---|
0:16:43 | the judgement was very severe that uh |
---|
0:16:45 | you know bayesian methods one not to be introduced in U K courts that uh uh because you know ask |
---|
0:16:51 | right here at all judges don't understand that and uh you know it's all lots of a power thing no |
---|
0:16:56 | worried about losing that |
---|
0:16:57 | losing that how about i just thought it was a sort of amusing |
---|
0:17:00 | idea that any form of reasoning is is allowed there is no other |
---|
0:17:04 | role as far as i know there's not |
---|
0:17:06 | oh all reasoning is allowed in a british court except |
---|
0:17:10 | the form of reasoning that's been established to sort of be logical and read and rational and reasonable that's the |
---|
0:17:15 | only thing you're not allowed to present in a |
---|
0:17:17 | in a british court uh |
---|
0:17:19 | so that so that was a bit of an aside but that's why i sort of avoid the label |
---|
0:17:23 | bayesian and i think it's uh it is uh irrelevant and um |
---|
0:17:28 | uh |
---|
0:17:28 | to what we are doing |
---|
0:17:30 | uh and of course i don't have a |
---|
0:17:32 | explicitly introduce mathematical formalism |
---|
0:17:35 | whenever i'm giving expert witness |
---|
0:17:37 | but i do try and talk to jurors through this kind of thing and say |
---|
0:17:40 | imagine how many |
---|
0:17:42 | close relatives there are |
---|
0:17:44 | of the defendant |
---|
0:17:45 | what is the match |
---|
0:17:46 | what is the matter probability for then |
---|
0:17:48 | uh and imagine how many unrelated |
---|
0:17:50 | people what's the matter probability you gotta combine the total weight |
---|
0:17:54 | uh to come up with a |
---|
0:17:56 | and if that combined weight is norman |
---|
0:17:58 | negligible |
---|
0:17:59 | then |
---|
0:18:00 | you've got reasonable doubt about |
---|
0:18:03 | having the right guy |
---|
0:18:04 | uh unless there's other evidence uh implicating those |
---|
0:18:07 | uh oh or not |
---|
0:18:08 | taking the brothers |
---|
0:18:10 | four |
---|
0:18:11 | uh |
---|
0:18:20 | uh |
---|
0:18:22 | yes many of these features of course i'm gonna be talking you want really relevant to voice recognition but i |
---|
0:18:27 | think some of them will be |
---|
0:18:28 | uh i'm talking uh |
---|
0:18:30 | i've got a sneak in the label here now i only mean genetic uh |
---|
0:18:33 | ideas of uh |
---|
0:18:34 | of ethnicity here |
---|
0:18:36 | um |
---|
0:18:37 | relatedness matches the do you know i haven't |
---|
0:18:40 | uh |
---|
0:18:40 | and |
---|
0:18:41 | this is really the same issue is |
---|
0:18:42 | as |
---|
0:18:43 | close relatives |
---|
0:18:44 | but it's just relatedness |
---|
0:18:46 | on a more distance scale |
---|
0:18:49 | uh so the relatedness of people in an isolated uh |
---|
0:18:53 | uh geographical or religious group |
---|
0:18:55 | someone |
---|
0:18:57 | bay yeah |
---|
0:18:58 | compared to relatives |
---|
0:18:59 | they're relatedness is less |
---|
0:19:01 | relatives like cousins and so forth |
---|
0:19:03 | they're relatedness is less than is typically more of them |
---|
0:19:06 | and so they |
---|
0:19:07 | you know they |
---|
0:19:08 | i kind of plausibly balance out |
---|
0:19:10 | um |
---|
0:19:11 | i'll come back to this |
---|
0:19:13 | uh really really important of these issues are around uh and and a real fundamental difficulty that i don't think |
---|
0:19:19 | we really have sold |
---|
0:19:20 | is what to do about |
---|
0:19:22 | lab |
---|
0:19:23 | air uh |
---|
0:19:24 | labelling errors |
---|
0:19:25 | uh and outright |
---|
0:19:27 | evidence for award |
---|
0:19:28 | um |
---|
0:19:30 | but at least the bayes theorem |
---|
0:19:31 | paradigm |
---|
0:19:33 | tells us how to think about the problem and what |
---|
0:19:35 | relevant issues out but |
---|
0:19:36 | but what it tells us is um |
---|
0:19:39 | uh |
---|
0:19:39 | is a little bit worried i mean first of all one thing that's not wiring is that some |
---|
0:19:44 | critics of D N A evidence we're going round saying well you know i know |
---|
0:19:47 | no human activity has an error rate less than about one in a thousand |
---|
0:19:51 | and therefore |
---|
0:19:52 | numbers like ten to the minus six ten to the minus seven ten to the minus eight |
---|
0:19:55 | come up in uh |
---|
0:19:57 | in in connection with dean evidence a completely meaningless |
---|
0:20:00 | so that reasoning is invalid |
---|
0:20:02 | this is not the probability of any error that matters |
---|
0:20:04 | but only a narrow that generated the data that we observe |
---|
0:20:08 | so |
---|
0:20:09 | uh |
---|
0:20:10 | there's a famous story that uh feel |
---|
0:20:12 | david uh |
---|
0:20:14 | pointed me to from |
---|
0:20:15 | price i think |
---|
0:20:16 | probably eighteen century english philosopher to discuss this point that |
---|
0:20:19 | uh |
---|
0:20:20 | a printing error in the newspaper is more likely than you winning the lottery |
---|
0:20:25 | uh but nevertheless |
---|
0:20:26 | if you see a number printed in the newspaper as the winning lottery number |
---|
0:20:31 | you don't through the newspaper out and say a probably a printing |
---|
0:20:34 | uh |
---|
0:20:35 | fig |
---|
0:20:35 | because uh |
---|
0:20:37 | the uh because it's not any printing error that matches the printing a rather generated your number |
---|
0:20:42 | is much less likely that you winning the lottery and therefore you do |
---|
0:20:45 | through the paper up and run down the lottery office to claim your prize |
---|
0:20:49 | um but |
---|
0:20:50 | this is a fundamentally a problem |
---|
0:20:53 | that uh |
---|
0:20:54 | some of the |
---|
0:20:56 | more reason critics of D N A evidence i don't think we can easily get away with this |
---|
0:21:00 | that uh evidence tampering |
---|
0:21:03 | doesn't involve this problem because evidence |
---|
0:21:05 | prob tampering doesn't generate |
---|
0:21:07 | the evidences of |
---|
0:21:09 | um |
---|
0:21:10 | and |
---|
0:21:12 | she quickly |
---|
0:21:14 | a reasonable persons |
---|
0:21:16 | view of the probability that the police or somebody else |
---|
0:21:19 | tempered with the other |
---|
0:21:20 | in some way |
---|
0:21:21 | it's gonna be much greater than a match than a match probability or likelihood ratio |
---|
0:21:25 | in connection with you know |
---|
0:21:27 | um |
---|
0:21:28 | and |
---|
0:21:29 | logically i think it is true |
---|
0:21:31 | but because of this |
---|
0:21:33 | the |
---|
0:21:34 | this typically will swarm |
---|
0:21:36 | the uh the significance of the match probability |
---|
0:21:39 | D N A evidence |
---|
0:21:40 | so that |
---|
0:21:41 | if you do get a good you know profile match |
---|
0:21:44 | the actual number connected with it is pretty meaningless it's |
---|
0:21:48 | it's virtually impossible and the only way down now too |
---|
0:21:51 | thinking about these kind of alternatives |
---|
0:21:54 | but what i nets but can do about that in court |
---|
0:21:56 | is quite uh |
---|
0:21:58 | it's quite difficult you could you you can't even |
---|
0:22:01 | consider putting numbers on this kind of thing of course uh but uh |
---|
0:22:05 | but |
---|
0:22:06 | ideally |
---|
0:22:07 | you should be alert injurious to this possibility |
---|
0:22:09 | uh and uh |
---|
0:22:11 | that it should be |
---|
0:22:13 | you know wait |
---|
0:22:13 | in combination with the |
---|
0:22:15 | with the match probability for the D N A |
---|
0:22:23 | and |
---|
0:22:23 | i don't have time to go this here this is also the start of stuff but this was a sort |
---|
0:22:27 | of fun |
---|
0:22:28 | debate will not find really 'cause i did get a bit tedious it just went on and on and on |
---|
0:22:31 | and it still goes on this uh argument about the uh |
---|
0:22:35 | effect of the evidence i know some of your read some of the literature so you'll be aware of these |
---|
0:22:38 | issues but uh |
---|
0:22:40 | have some of you want be one |
---|
0:22:42 | i imagine case number one |
---|
0:22:45 | uh i just say you know he matches and it's one in a million probability of a match |
---|
0:22:49 | uh case number two i tell you those two facts but also tell you all by the way |
---|
0:22:54 | uh i found him by looking through our database of D in a profiles |
---|
0:22:57 | he was the only match |
---|
0:22:59 | now |
---|
0:22:59 | in which case |
---|
0:23:00 | is the evidence stronger case one okay stew |
---|
0:23:03 | the classical statistical viewpoint is a case too is uh evidence trolling |
---|
0:23:08 | uh you've gone through the uh |
---|
0:23:10 | uh you know you're going out fishing for hypotheses and we all know about multiple testing and one for any |
---|
0:23:15 | corrections |
---|
0:23:15 | kind of thing |
---|
0:23:16 | uh evidence is much weaker |
---|
0:23:18 | if you go fishing for hypotheses |
---|
0:23:21 | um |
---|
0:23:22 | so |
---|
0:23:24 | uh if you've the defendant has been identified through a search in a database |
---|
0:23:28 | or |
---|
0:23:29 | D N intelligence database |
---|
0:23:31 | of known uh |
---|
0:23:32 | previous offenders |
---|
0:23:33 | uh the the data |
---|
0:23:36 | uh |
---|
0:23:37 | we can |
---|
0:23:37 | then in a standard |
---|
0:23:39 | and of course uh |
---|
0:23:41 | that's |
---|
0:23:41 | completely wrong uh this i i think the uh the standard uh |
---|
0:23:45 | statistical reasoning is just uh inappropriate here certainly |
---|
0:23:49 | all of that you know there's a classical argument about frequentist and bayesian views or |
---|
0:23:53 | in the literature but |
---|
0:23:54 | but often the frequentist in the bay seems get to roughly the same place in the end |
---|
0:23:58 | that is one example where they get to very different places |
---|
0:24:01 | and |
---|
0:24:02 | when it because of the strong logical foundations of the bayesian foundation |
---|
0:24:06 | whenever the two of them disagree |
---|
0:24:08 | uh |
---|
0:24:08 | it's pretty much always the bayesian view that's right |
---|
0:24:11 | uh and |
---|
0:24:12 | and it is |
---|
0:24:13 | yeah what |
---|
0:24:15 | people who are worried about the evidence trolling idea on that weakening the evidence |
---|
0:24:20 | the problem with their approach is they are not |
---|
0:24:23 | being critical enough |
---|
0:24:24 | in the first |
---|
0:24:25 | because even if i just |
---|
0:24:27 | even if there was no |
---|
0:24:28 | um |
---|
0:24:29 | evidence trolling even if there was no database search i still have to logically |
---|
0:24:34 | to prove that this guy committed |
---|
0:24:35 | crime i have to prove that every other person on a |
---|
0:24:39 | didn't commit the crime |
---|
0:24:40 | those two |
---|
0:24:41 | formulations are equivalent statements of the problem that's a really tough |
---|
0:24:45 | task and nobody else |
---|
0:24:47 | nobody would have dared to |
---|
0:24:48 | even contemplate that in the past because it was unthinkable that you could prove that everyone else on the didn't |
---|
0:24:53 | do it |
---|
0:24:53 | but you can now would be an evidence you can think about an ugly |
---|
0:24:57 | arguably due |
---|
0:24:58 | and so |
---|
0:24:59 | any amount of |
---|
0:25:01 | fishing or trolling for hypotheses |
---|
0:25:03 | is it doesn't change that fact |
---|
0:25:05 | you still have to prove that everyone else on a didn't commit the crime |
---|
0:25:08 | and in fact |
---|
0:25:09 | uh |
---|
0:25:10 | it makes life |
---|
0:25:11 | better because everyone else in the database didn't match |
---|
0:25:14 | so that helps even your task |
---|
0:25:16 | proving |
---|
0:25:16 | that everyone else on a didn't commit the crime |
---|
0:25:18 | 'cause you've got a whole lot of people that you've shown not to that a profile doesn't match |
---|
0:25:23 | um |
---|
0:25:24 | that |
---|
0:25:24 | is |
---|
0:25:25 | but latter argument is an argument about uh |
---|
0:25:28 | hypotheses rather than so this |
---|
0:25:31 | issue about probabilities of evidence was probably |
---|
0:25:33 | posses |
---|
0:25:34 | um |
---|
0:25:35 | i know it's a bit more about in a moment we like to separate the two but i |
---|
0:25:40 | insist that fundamentally it's not uh |
---|
0:25:42 | it's not possible to |
---|
0:25:43 | achieve that ideal in many situations |
---|
0:25:46 | that that's not really uh |
---|
0:25:47 | what |
---|
0:25:48 | yeah |
---|
0:25:50 | um so |
---|
0:25:51 | yeah |
---|
0:25:51 | some of the things right feel that the |
---|
0:25:54 | the |
---|
0:25:54 | the the |
---|
0:25:55 | formulation |
---|
0:25:57 | of the problem |
---|
0:25:59 | even though it's just a sort of standard was no |
---|
0:26:01 | bayes theorem it wasn't obvious for about |
---|
0:26:04 | twenty or thirty years after the commons case when all this academic literature was piling up |
---|
0:26:08 | people didn't get to this position |
---|
0:26:10 | of just writing down bayes theorem and seeing its implications in the way described in them |
---|
0:26:15 | uh nowadays the majority of people even in the field don't |
---|
0:26:18 | uh so i don't succeed in understanding the evidence this way but there's a big enough community obvious that do |
---|
0:26:23 | uh that that isn't the problem |
---|
0:26:25 | but um |
---|
0:26:26 | there are many many uh |
---|
0:26:28 | problems that remain uh and uh |
---|
0:26:32 | i have already so stressed this one but this is one of my key points about |
---|
0:26:36 | the difficulty is that uh |
---|
0:26:37 | you know it's nice to think about a competition between the prosecution hypothesis |
---|
0:26:41 | and the defence side |
---|
0:26:42 | sis and uh |
---|
0:26:43 | you know many lawyers have argued with me that is fundamentally |
---|
0:26:47 | is what the whole legal system is based on the competition between two hypotheses |
---|
0:26:52 | and a sorta reject my idea |
---|
0:26:54 | but i've represented at but i |
---|
0:26:57 | claim that this is just a straightforward logical situation that in order to |
---|
0:27:01 | uh establish |
---|
0:27:02 | hypothesis one the prosecution hypothesis |
---|
0:27:05 | you must |
---|
0:27:05 | proof that every other competing hypothesis is false whether or not the defence puts forward and of course and |
---|
0:27:11 | most uh legal systems the defence downtown |
---|
0:27:13 | to put forward any story at all of course |
---|
0:27:15 | uh |
---|
0:27:15 | and even if they do put forward a story |
---|
0:27:18 | uh |
---|
0:27:19 | judges |
---|
0:27:19 | usually advise |
---|
0:27:22 | the court in a |
---|
0:27:23 | that um the jurors uh in now |
---|
0:27:25 | setting |
---|
0:27:26 | that um |
---|
0:27:27 | they don't necessarily |
---|
0:27:29 | uh even if they disbelieve the defence story it doesn't necessarily need the defendant is guilty these a separate question |
---|
0:27:36 | to be |
---|
0:27:37 | and sit separately |
---|
0:27:38 | uh |
---|
0:27:41 | it's inevitable that the forensic scientist has to make |
---|
0:27:44 | subjective |
---|
0:27:45 | judge |
---|
0:27:46 | about |
---|
0:27:47 | for example implausible hypotheses |
---|
0:27:49 | uh so |
---|
0:27:51 | uh in D N A evidence you've always got i was my |
---|
0:27:54 | identical twin |
---|
0:27:56 | story which makes D N A evidence uh |
---|
0:27:58 | completely uh |
---|
0:27:59 | useless |
---|
0:28:01 | uh it's actually quite remarkable |
---|
0:28:03 | how rarely that is used i think that everyone would just laugh it out of court actually identical twins are |
---|
0:28:08 | not rare |
---|
0:28:09 | and it's very hard to prove that you don't have an identical twin |
---|
0:28:12 | uh so if any of you do commit a serious crime and rub on court would again errands i do |
---|
0:28:16 | recommend you try the story that uh and uh |
---|
0:28:19 | uh i i i think logically it's hard to be uh um |
---|
0:28:24 | the uh but nevertheless in practice acting queueing sixties unfortunately that uh |
---|
0:28:28 | uh |
---|
0:28:29 | the |
---|
0:28:30 | but also in the evidence we have the number of contributors do we deny sample even if there's no more |
---|
0:28:35 | than two little that every locker |
---|
0:28:37 | it doesn't follow that there's only one contributor |
---|
0:28:40 | there's no what the bound on the number of contributors |
---|
0:28:42 | uh and |
---|
0:28:44 | i'm the involved um right in the middle of a court case uh you know that i was giving evidence |
---|
0:28:48 | um fried enough to go back and continue mild evidence tomorrow |
---|
0:28:51 | uh and then the uh i it looks like one contributed |
---|
0:28:55 | the crime sample |
---|
0:28:56 | and i did some calculations one contributor to contributors |
---|
0:28:59 | and of course that the that i'm not advising the prosecution in this case usually on divine advising the defence |
---|
0:29:04 | uh but the defence of course it jumped up and said you haven't done any calculations for three contributors |
---|
0:29:09 | and and of course i said well |
---|
0:29:11 | you know there's no sign of even to contribute to so three contributors is ridiculous and they say a but |
---|
0:29:15 | you cannot rule out the possibility of three contributors and i have |
---|
0:29:18 | can see the uh |
---|
0:29:19 | but i can't you know that's a subjective judgement |
---|
0:29:21 | right |
---|
0:29:22 | uh and uh |
---|
0:29:24 | i kind of transgress is this idea of trying to |
---|
0:29:28 | key |
---|
0:29:29 | a clear logical distinction between the likelihood ratio |
---|
0:29:32 | uh and the uh |
---|
0:29:34 | and the probabilities of hypotheses |
---|
0:29:36 | uh |
---|
0:29:37 | and if you can read this |
---|
0:29:39 | uh |
---|
0:29:40 | in this respect scene is under what is is completely unavoidable that you can't uh you can't avoid |
---|
0:29:46 | making judgements about probabilities of hypotheses |
---|
0:29:48 | uh but nevertheless we should maintain the goal right just behaviour which is to try and avoid as far as |
---|
0:29:53 | possible |
---|
0:29:54 | any assumptions about the hypotheses and |
---|
0:29:57 | you know to be aware of them and make them explicit as far as we can |
---|
0:30:02 | the um oh i didn't mention this one as well contamination rates also an issue here |
---|
0:30:08 | there is um |
---|
0:30:09 | sometimes it's easy to get confused with discussions of |
---|
0:30:12 | of priors because there is a |
---|
0:30:14 | prior on the hypothesis |
---|
0:30:16 | uh that he's guilty |
---|
0:30:18 | uh for example |
---|
0:30:20 | and that's very clearly not the business of the expert |
---|
0:30:23 | uh |
---|
0:30:24 | and this is the |
---|
0:30:25 | and is the master of the |
---|
0:30:27 | a finder |
---|
0:30:27 | fact and it's for you know we have to be very careful in our wording to avoid any suggestion that |
---|
0:30:31 | we're expressing a view |
---|
0:30:32 | uh on the probability that he's guilty either before or after the evidence |
---|
0:30:36 | but of course we |
---|
0:30:37 | we include priors for other quantities all the way along a particular rate of contamination |
---|
0:30:42 | so with low template do you know profiles |
---|
0:30:44 | it's just amazing how difficult it is to get rid of contamination our environment is entirely covered with D N |
---|
0:30:50 | A you know for four meters around me |
---|
0:30:52 | there is my D N A staff it everywhere from my bread uh uh |
---|
0:30:56 | and i know touching things leaves your D N A |
---|
0:30:59 | uh it's a very kind of shocking |
---|
0:31:01 | so when you think about you know it is room is entirely covered with D N A |
---|
0:31:06 | uh the um |
---|
0:31:07 | but uh very thin film obviously |
---|
0:31:09 | and |
---|
0:31:11 | we cannot ever exclude that |
---|
0:31:14 | there are some of the illegals we see in a mixed profile got there |
---|
0:31:18 | not through any of the main contributors that we're thinking about is the offender |
---|
0:31:22 | crime |
---|
0:31:22 | but some environmental |
---|
0:31:23 | combination |
---|
0:31:25 | uh that's a really serious issue with low |
---|
0:31:28 | low template D N A profiles but in any case any assessment |
---|
0:31:31 | about contamination rate |
---|
0:31:33 | is it is effectively a prior judgement |
---|
0:31:35 | um |
---|
0:31:36 | based on you know there is |
---|
0:31:38 | is it |
---|
0:31:39 | so |
---|
0:31:40 | into that the |
---|
0:31:42 | um |
---|
0:31:45 | okay |
---|
0:31:46 | i yeah |
---|
0:31:48 | as us |
---|
0:31:49 | one that got too much stuff here i want to say very much i haven't said anything really about the |
---|
0:31:53 | technology of the of the you know profiling |
---|
0:31:56 | um i'd out there's a little bit there are those of the you don't know |
---|
0:31:59 | it's just that uh |
---|
0:32:01 | he short tandem repeat profiles |
---|
0:32:03 | a little words of D N A the repeated a number of times |
---|
0:32:06 | and the number of repeats affects the length |
---|
0:32:09 | uh and the current technology dist it's still not sequence based even though |
---|
0:32:13 | this may change in the future but there's so much investment in this technology now |
---|
0:32:17 | time to think about changing it |
---|
0:32:19 | we don't actually read the sequence we just |
---|
0:32:21 | measure the length of it in a fragment |
---|
0:32:23 | and the length is measured by running uh these fragments through a gel |
---|
0:32:27 | and there's a laser |
---|
0:32:28 | i detector at the finish line and |
---|
0:32:30 | time |
---|
0:32:31 | taken |
---|
0:32:31 | uh her response |
---|
0:32:32 | the length |
---|
0:32:33 | fragment |
---|
0:32:34 | usually we can interpolate |
---|
0:32:36 | the number of repeats so you might have seven copies |
---|
0:32:39 | of the repeat someone promise on the nine on the other |
---|
0:32:41 | so you would unit i would be represented the seven nine |
---|
0:32:44 | but uh unfortunately for this nice story partial repeats |
---|
0:32:47 | do |
---|
0:32:48 | okay so this doesn't mean nine point three to decimal number it means nine copies |
---|
0:32:53 | all the four base pair repeat and then |
---|
0:32:55 | three base pair |
---|
0:32:57 | uh |
---|
0:32:57 | fragment |
---|
0:32:58 | a repeat |
---|
0:32:59 | and |
---|
0:33:00 | but uh |
---|
0:33:01 | nevertheless it is |
---|
0:33:02 | pretty much |
---|
0:33:04 | possible to |
---|
0:33:05 | to say yes no whether the um |
---|
0:33:08 | whether the fragment lengths match |
---|
0:33:10 | uh and this is sort of idealised view |
---|
0:33:12 | of the |
---|
0:33:13 | electra fairground |
---|
0:33:15 | basically a time series plot as these freshmen |
---|
0:33:17 | past the finish line |
---|
0:33:18 | uh there they are |
---|
0:33:20 | there are |
---|
0:33:21 | dies you know coloured eyes you can think about |
---|
0:33:24 | uh that distinguish |
---|
0:33:26 | the fragments from different loci |
---|
0:33:28 | uh and then |
---|
0:33:29 | different loci have |
---|
0:33:30 | fragments |
---|
0:33:31 | and it in a different length ranges |
---|
0:33:33 | so that enables you in one test you |
---|
0:33:35 | uh |
---|
0:33:36 | to uh |
---|
0:33:37 | and the lies |
---|
0:33:38 | channel twenty uh genetic loci |
---|
0:33:41 | and |
---|
0:33:42 | in the current technology we all done i mean we'd love to be able to take into account heights of |
---|
0:33:47 | these peaks |
---|
0:33:48 | uh but we don't we we just it was of the binary yes no |
---|
0:33:51 | uh there is a piece here |
---|
0:33:53 | um |
---|
0:33:54 | and i'll come back to that and a little bit if i have |
---|
0:33:56 | time because with small amounts of D N A that |
---|
0:33:58 | problematic |
---|
0:34:00 | um |
---|
0:34:02 | so there's a lot of problems with these issues of where |
---|
0:34:05 | does that where do the probabilities come from |
---|
0:34:07 | um |
---|
0:34:09 | and |
---|
0:34:10 | uh people have mentioned to me here and it's sort of true that in um |
---|
0:34:14 | you know in D N A |
---|
0:34:16 | it's easy 'cause we've got population genetics theory which generates uh |
---|
0:34:20 | um |
---|
0:34:21 | uh which generates probabilities and of course |
---|
0:34:24 | in a larger population genetics theories |
---|
0:34:26 | based on one of bruno's famous sums of course mental who is a uh here and that |
---|
0:34:31 | uh you did is a work on the P Z here um |
---|
0:34:35 | and but nevertheless |
---|
0:34:38 | although |
---|
0:34:39 | mentors |
---|
0:34:39 | labels as applied here |
---|
0:34:41 | ah |
---|
0:34:43 | near enough to being objective fact |
---|
0:34:46 | uh there's a lots of elements of |
---|
0:34:47 | theory that subjective |
---|
0:34:48 | uh |
---|
0:34:49 | strength of D N A evidence |
---|
0:34:51 | it's all about related |
---|
0:34:53 | uh and |
---|
0:34:54 | these questions of independence all questions about relatedness |
---|
0:34:57 | how you model relatedness |
---|
0:34:59 | is you know a typical story in complex scientific evidence |
---|
0:35:03 | you think about all the people in this room we've got hugely complicated |
---|
0:35:07 | of relatedness through all think of my all my lineage as |
---|
0:35:11 | mother father for grandparents great grandparents you know go back five generations where |
---|
0:35:16 | where up to large numbers of ancestors and then any other individual in this room |
---|
0:35:20 | every has got |
---|
0:35:21 | you know same so many lineage is up to sixteen great grandparents |
---|
0:35:25 | and |
---|
0:35:25 | every |
---|
0:35:26 | yeah all those lineage is one of my sixteen great grandparents someone of your sixteen great grandparents |
---|
0:35:31 | all meet in a common ancestor at some point |
---|
0:35:34 | past and |
---|
0:35:35 | unless you think i i'm an alien from another planet but more or less the uh |
---|
0:35:39 | that's pretty substantial evidence that we all have common ancestors |
---|
0:35:42 | so |
---|
0:35:43 | the |
---|
0:35:45 | fully detailed model would specify all the patterns of relatedness for every individual on a |
---|
0:35:51 | and of course that's ridiculous |
---|
0:35:52 | the complicated |
---|
0:35:53 | so we have to make simplifying assumptions |
---|
0:35:55 | uh |
---|
0:35:56 | and most of the models |
---|
0:35:57 | kind of break |
---|
0:35:58 | relatedness down into three levels known relatedness |
---|
0:36:01 | which is usually you know just one or two generations in the past |
---|
0:36:04 | uh relatedness future unknown shared ancestors but understood to be |
---|
0:36:09 | on a relevant relatively recent time scale and |
---|
0:36:12 | and how you define recent is how these theories |
---|
0:36:15 | very |
---|
0:36:16 | uh and then the completely unrelated case |
---|
0:36:18 | is an idealised |
---|
0:36:19 | case where the ancestors of so far back |
---|
0:36:21 | but it really doesn't matter |
---|
0:36:22 | we can just |
---|
0:36:23 | assume independence |
---|
0:36:25 | um |
---|
0:36:26 | the |
---|
0:36:27 | they are kind of good enough models even uh |
---|
0:36:29 | he too few people really understand how they work |
---|
0:36:32 | now but you know the great |
---|
0:36:34 | vocational reality |
---|
0:36:35 | and i just wanna emphasise the uh |
---|
0:36:38 | this objective miss of the underlying model of these models |
---|
0:36:41 | um |
---|
0:36:43 | there's a lot of argument over the years about independence various independence assumptions that go together |
---|
0:36:48 | and that's of course important |
---|
0:36:50 | four |
---|
0:36:50 | for you guys as well uh |
---|
0:36:53 | we did this is where we do have an advantage that uh in in the |
---|
0:36:57 | the only dependence that matters |
---|
0:36:58 | is due to relatedness |
---|
0:37:00 | uh |
---|
0:37:01 | the other important point i want to make it causes that um |
---|
0:37:05 | is whether or not to think you know to kind of meaningless thing to say a is independent to be |
---|
0:37:09 | in a in a kind of a general real world objects that |
---|
0:37:12 | uh independence is all about what information you condition on and if you get the conditioning right |
---|
0:37:17 | things |
---|
0:37:18 | are typically independent to a good enough approximation the example i've used this uh |
---|
0:37:23 | is uh |
---|
0:37:24 | reading ability and shoe size in children are not independent |
---|
0:37:28 | the |
---|
0:37:29 | the bigger the better readers have big F eight |
---|
0:37:32 | uh and uh that's a very well established fact then you can look at the correlation it's quite strong |
---|
0:37:37 | uh of course they depended because of the varying ages both of those things are correlated with age |
---|
0:37:42 | if you uh |
---|
0:37:43 | you condition on age |
---|
0:37:44 | the dependence goes away uh and uh |
---|
0:37:47 | similarly |
---|
0:37:48 | uh |
---|
0:37:48 | if you condition if you do the right conditioning for D N A evidence |
---|
0:37:52 | uh you |
---|
0:37:53 | and make a reasonable assumption of in |
---|
0:37:55 | and that sort of course you know if you |
---|
0:37:57 | if you want to take a contrary imposition which of course defences in court so sometimes do you can never |
---|
0:38:01 | rena rigorously prove anything to be independent |
---|
0:38:04 | um |
---|
0:38:07 | so |
---|
0:38:08 | the |
---|
0:38:09 | what |
---|
0:38:10 | what matters fundamentally in the match probability is a statement like this |
---|
0:38:14 | at a single locus the probability that an unknown individual acts |
---|
0:38:17 | as gina type A B |
---|
0:38:19 | even |
---|
0:38:21 | yeah |
---|
0:38:22 | oh |
---|
0:38:25 | i |
---|
0:38:27 | but |
---|
0:38:28 | okay good |
---|
0:38:29 | just a speck |
---|
0:38:30 | um |
---|
0:38:31 | and |
---|
0:38:33 | so |
---|
0:38:34 | what matters is affected by this conditioning and of course the probability that this guy's got a be given that |
---|
0:38:40 | this guy's got a bee |
---|
0:38:41 | depends on the on their relatedness |
---|
0:38:44 | what doesn't matter |
---|
0:38:46 | and they argued about at great length |
---|
0:38:48 | is the dependence or otherwise of the two labels |
---|
0:38:50 | within a block us |
---|
0:38:52 | so cold hardy weinberg equilibrium i mean again uh |
---|
0:38:55 | um |
---|
0:38:56 | much discussion about this |
---|
0:38:57 | it's relatively unimportant |
---|
0:38:59 | i've had |
---|
0:39:01 | overemphasised in my writing this condition because that's what i see is the important one |
---|
0:39:05 | but of course there's a lot of other stuff in the conditioning as well as all kinds |
---|
0:39:08 | assumptions and |
---|
0:39:09 | background data |
---|
0:39:10 | uh that you are relying on and i'll i'll say more about that moment |
---|
0:39:15 | now i see i'm going to take uh |
---|
0:39:17 | i didn't intend to |
---|
0:39:18 | uh following because advice and uh use up all my time and not leave any for discussion but |
---|
0:39:23 | uh there's a bigger |
---|
0:39:25 | this is where i say that uh |
---|
0:39:27 | what i've been doing |
---|
0:39:29 | is fundamentally non bayesian although based on bayes theorem |
---|
0:39:32 | because uh all of these theories require |
---|
0:39:35 | uh parameter estimates |
---|
0:39:36 | and and everybody likes to putting plugin estimates |
---|
0:39:39 | uh |
---|
0:39:40 | the simplest thing to do |
---|
0:39:41 | but also |
---|
0:39:42 | you know |
---|
0:39:43 | you can think about what the different estimates are the different parameter estimates are change them |
---|
0:39:48 | that the parameters for us |
---|
0:39:49 | are they really all frequencies |
---|
0:39:51 | uh and this population genetics parameter which is the average |
---|
0:39:55 | relatedness in a community |
---|
0:39:57 | uh we've got various estimates of these |
---|
0:40:00 | um |
---|
0:40:03 | we like to use |
---|
0:40:03 | plugin estimates it has an advantage that it keeps the |
---|
0:40:06 | the evidence specific to the case over here and all your training and background data that feed into apply guest |
---|
0:40:11 | estimates over there |
---|
0:40:13 | of course the ideal |
---|
0:40:15 | and and again this or the bayesian |
---|
0:40:17 | position would be to integrate out the unknowns |
---|
0:40:20 | and |
---|
0:40:21 | to in a sense |
---|
0:40:22 | combining the data so uh and and |
---|
0:40:25 | you know feel david in |
---|
0:40:27 | london right |
---|
0:40:27 | papers trying to do this where |
---|
0:40:29 | the you know the |
---|
0:40:30 | the days you conditional is not just the dependence |
---|
0:40:32 | profile |
---|
0:40:33 | but the defendant profile and all the profiles even the scene before |
---|
0:40:36 | uh that uh that formula background information |
---|
0:40:39 | um |
---|
0:40:40 | so we are recognising this idea like to think it is just a bit too complicated |
---|
0:40:45 | um |
---|
0:40:46 | and so i have |
---|
0:40:47 | donna sort of a good compromise |
---|
0:40:49 | of using plugin estimate |
---|
0:40:51 | but in recognition |
---|
0:40:53 | uh all these uh problems |
---|
0:40:57 | the about the um |
---|
0:40:59 | the expectation all the hype how i can be much greater than the power the expectation |
---|
0:41:04 | so this is why putting in plugin estimates |
---|
0:41:07 | at that uh something like maximum likelihood estimates |
---|
0:41:10 | can be really really misleading uh because you know the out the effect of uncertainty is not symmetric |
---|
0:41:16 | uh when you've got high powers and product |
---|
0:41:18 | um |
---|
0:41:19 | so |
---|
0:41:21 | that's right you know there's a lot of again this sort of boston vast amount of wasted literature in this |
---|
0:41:25 | field like there is in any academic field so you have people talking about how to do |
---|
0:41:29 | maximum likelihood estimates of these plug in parameters |
---|
0:41:33 | and it's just a complete waste of time because the maxima like to estimate or anything like in any kind |
---|
0:41:37 | of sensible estimate in the middle of the distribution is hopelessly wrong |
---|
0:41:40 | uh because of this problem here |
---|
0:41:42 | um |
---|
0:41:43 | so |
---|
0:41:44 | but i haven't really got a very good solution i just say well we want something new the top of |
---|
0:41:49 | the plausible range like a ninety eight or ninety percent or something like that |
---|
0:41:53 | uh although of course i haven't really got any formal |
---|
0:41:55 | just |
---|
0:41:55 | cation |
---|
0:41:56 | doing that |
---|
0:41:58 | um |
---|
0:42:01 | right |
---|
0:42:01 | a lot more to say what should i choose to include |
---|
0:42:04 | i can't resist talking a little bit i talked about |
---|
0:42:07 | the the probability is coming from |
---|
0:42:10 | uh series |
---|
0:42:11 | uh |
---|
0:42:12 | uh population genetics theories which sound very brandon i can easily put them past just get you know a courtroom |
---|
0:42:17 | who never sort of question me about any of these things but ultimately when you looking them |
---|
0:42:21 | it's all full of subjectivity and judgements and |
---|
0:42:24 | and i chosen this theory and not the theory and so on |
---|
0:42:27 | um |
---|
0:42:29 | of course many people are happy with that kind of subjective element and they want to sort of rigorous |
---|
0:42:33 | and one way and again the sort of classical statistical position |
---|
0:42:37 | to get a kind of rigorous probabilities |
---|
0:42:39 | uh is to put it in the context of random sampling so that a lot of literature out there and |
---|
0:42:43 | a lot of |
---|
0:42:44 | um critical thinking which is based around the idea |
---|
0:42:48 | that the suspect as being chosen randomly in a population |
---|
0:42:51 | uh now i've already talked about evidence tampering and uh relatively high probability that the police could fiddle with the |
---|
0:42:57 | evidence |
---|
0:42:57 | but the possibility that the |
---|
0:42:59 | police are capable of uniform random sampling is completely ridiculous i don't to accuse them of that of course all |
---|
0:43:05 | the |
---|
0:43:05 | all the X |
---|
0:43:06 | that's in the world can't do uh in a find it very difficult to do uniform random sampling |
---|
0:43:11 | uh and so |
---|
0:43:13 | you know many people think |
---|
0:43:14 | that |
---|
0:43:15 | uniform random sampling idea |
---|
0:43:17 | uh |
---|
0:43:18 | click |
---|
0:43:18 | field on a rigorous footing because these are objective probabilities |
---|
0:43:22 | uh and i would say yes |
---|
0:43:24 | objective that is clearly nonsense uh the police haven't |
---|
0:43:26 | sample size |
---|
0:43:27 | X randomly |
---|
0:43:28 | this is just a completely made up assumption |
---|
0:43:30 | uh which is uh |
---|
0:43:32 | uh |
---|
0:43:34 | i i mean i'm probably overdoing it here i mean it is the kind of assumption that |
---|
0:43:37 | that people make and for good reason in some settings |
---|
0:43:40 | i don't think we need to make it here |
---|
0:43:42 | and it doesn't lead to lots |
---|
0:43:44 | problems and in particular |
---|
0:43:46 | the sort of |
---|
0:43:47 | endless endless arguments about in which population has suspect being randomly chosen |
---|
0:43:53 | and i say |
---|
0:43:54 | here that you know because there is no such |
---|
0:43:56 | sampling and there is no such population is like arguing over the number of weenies on the two very that |
---|
0:44:01 | uh |
---|
0:44:02 | yeah that that you know there is there is no such object so there's no point arguing about the properties |
---|
0:44:07 | um |
---|
0:44:08 | but |
---|
0:44:08 | you know there is a real fundamental problem here that the more now really define the population |
---|
0:44:13 | the better it is for the defendant |
---|
0:44:15 | and we usually try to sort of |
---|
0:44:17 | leaning defendants direction but the only logical endpoint of this |
---|
0:44:21 | is uh |
---|
0:44:22 | the population of size one that includes the defendant and have a hundred percent frequency for the uh for the |
---|
0:44:27 | dependence profile which of course is a useless uh |
---|
0:44:29 | position |
---|
0:44:30 | and of course |
---|
0:44:31 | so you get |
---|
0:44:32 | you lose all these nice advantages |
---|
0:44:34 | of the |
---|
0:44:35 | bayesian formulation because this friend sampling hypothesis |
---|
0:44:38 | i don't suppose you could do it |
---|
0:44:39 | i mean you just can't do it in a bayesian way because it's just a ridiculous hypothesis that's got nothing |
---|
0:44:43 | to do with the |
---|
0:44:44 | with the with the evidence |
---|
0:44:46 | um |
---|
0:44:46 | and all this stuff which works well in the |
---|
0:44:49 | framework i've been telling you about |
---|
0:44:51 | hard to do in this |
---|
0:44:52 | in this setting |
---|
0:44:55 | right |
---|
0:44:55 | i |
---|
0:44:56 | this is an old topic of |
---|
0:44:57 | mine and i will skip over this one that the the the U S |
---|
0:45:01 | national research council did a report maybe fifteen years ago it still and hold absolute sway in the U S |
---|
0:45:06 | uh |
---|
0:45:07 | it's all |
---|
0:45:08 | it's all based on this random and hypo |
---|
0:45:10 | sis and it's all |
---|
0:45:11 | kind of |
---|
0:45:12 | riddled with errors but it's interesting in the sort of social psychology of the feel |
---|
0:45:17 | we had huge arguments about D N A evidence and an early nineteen nineties |
---|
0:45:21 | any nineteen ninety six the mood was just right |
---|
0:45:23 | the kind of settled on a compromise |
---|
0:45:25 | and so the authority of the |
---|
0:45:27 | national research council in the U S was |
---|
0:45:29 | was such that everyone kind of lead on this |
---|
0:45:32 | uh and |
---|
0:45:33 | in some kind of prey |
---|
0:45:34 | consensus it sort of worked you know D N A evidence |
---|
0:45:37 | based on this is gonna be does a lot of people in the U S and they're probably all guilty |
---|
0:45:41 | but the fact that it's a completely riddled with misunderstandings and errors and uh and |
---|
0:45:46 | and the evidence is being devastated |
---|
0:45:48 | in almost every |
---|
0:45:49 | court case in the U S |
---|
0:45:51 | involving deny evidence the evidence is routinely overstated because of |
---|
0:45:55 | oh |
---|
0:45:57 | you know the truth is that the evidence was probably pretty strong anyway and this is why we haven't had |
---|
0:46:01 | the kind of gross |
---|
0:46:03 | miscarriages of justice |
---|
0:46:04 | coming to light |
---|
0:46:05 | uh |
---|
0:46:06 | that would just a |
---|
0:46:07 | channel these floors |
---|
0:46:09 | so i won't go into that but all these things i've been talking about they |
---|
0:46:12 | they use on the stored |
---|
0:46:13 | but really the important thing was this uh population genetics |
---|
0:46:17 | where |
---|
0:46:18 | what we |
---|
0:46:19 | care about is the conditional match probability |
---|
0:46:22 | but what they cared about was just the marginal probability |
---|
0:46:25 | and everything all the population genetics |
---|
0:46:27 | issues are in this conditioning |
---|
0:46:29 | uh and so |
---|
0:46:30 | by leaving that out |
---|
0:46:32 | they had a whole population genetics experts on this comedian they had big chapters on population genetics and completely missed |
---|
0:46:38 | the point |
---|
0:46:39 | uh and gave completely misleading and recommendations |
---|
0:46:43 | oh |
---|
0:46:44 | now |
---|
0:46:44 | i yeah i want you that i tried to have a |
---|
0:46:47 | too much of material in this talk |
---|
0:46:48 | and um |
---|
0:46:50 | i've withdrawal these topics but i just wanna bring you up to date with some of the uh |
---|
0:46:54 | let 'cause everything i've been talking about today i could've |
---|
0:46:56 | talked about years ago it's sort of a what the arguments of the nineties |
---|
0:47:00 | uh and uh really |
---|
0:47:01 | uh two thousand |
---|
0:47:03 | but |
---|
0:47:03 | but what's really |
---|
0:47:05 | really come to a crunch this year in particular is what to do about this low template D in a |
---|
0:47:10 | way down to |
---|
0:47:11 | getting D N A from samples of just two or three cells and so this huge stochasticity in the results |
---|
0:47:17 | um |
---|
0:47:18 | the uh and of course many |
---|
0:47:20 | jurisdictions just say this is way too complicated and |
---|
0:47:23 | we don't want to touch this |
---|
0:47:25 | uh but |
---|
0:47:25 | more and more particularly uk that more and more people are |
---|
0:47:29 | and it ended in and and uh it is potentially you know it doesn't mean |
---|
0:47:32 | that just from the slide |
---|
0:47:34 | touch |
---|
0:47:34 | it's rather than collect a fingerprint |
---|
0:47:36 | uh it's |
---|
0:47:38 | it's |
---|
0:47:38 | can be strong evidence to collect |
---|
0:47:40 | D N A from this way |
---|
0:47:41 | phone |
---|
0:47:42 | i think |
---|
0:47:42 | great |
---|
0:47:43 | uh |
---|
0:47:45 | but we get all these kind of stochastic features |
---|
0:47:48 | i've got some slides yeah one huh |
---|
0:47:50 | time to |
---|
0:47:50 | but um |
---|
0:47:51 | these peaks that i showed you about you get |
---|
0:47:54 | so the top half as we could be in a |
---|
0:47:56 | good amount of D N A |
---|
0:47:57 | and this is with a sort of moderately low amount of D N A and you get all these features |
---|
0:48:01 | like uh |
---|
0:48:02 | peak imbalance but most one really |
---|
0:48:04 | complete drop out of any of the labels either two peaks there |
---|
0:48:07 | but there's only one showed up here |
---|
0:48:09 | and that's |
---|
0:48:10 | because |
---|
0:48:11 | the the P C R reaction that underlies |
---|
0:48:13 | the whole thing with such |
---|
0:48:15 | with so few cells involved it can just completely fail if there's some uh |
---|
0:48:19 | uh you know mutation the primer or something else goes wrong |
---|
0:48:22 | um |
---|
0:48:23 | and you can get dropped in the contaminant really owes you |
---|
0:48:26 | you would have thought that |
---|
0:48:27 | these high tech uh |
---|
0:48:29 | le bar trees could keep |
---|
0:48:31 | the land in a free but it's absolutely impossible even just you know the plastic where |
---|
0:48:36 | that uh people use it |
---|
0:48:38 | uh |
---|
0:48:39 | it's full of D N A and you just because our in denies everywhere in our environment |
---|
0:48:43 | uh it's impossible to keep it out |
---|
0:48:44 | hi |
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0:48:46 | um |
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0:48:47 | so the little bit here about the |
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0:48:49 | the |
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0:48:50 | the various |
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0:48:51 | so uh |
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0:48:52 | where draw so these thresholds |
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0:48:54 | uh that are being used you can see that |
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0:48:56 | the way the evidence is |
---|
0:48:57 | analysed is quite true |
---|
0:48:59 | uh but this threshold means anything below this doesn't count |
---|
0:49:03 | so this he he is very strong evidence could be against individual but that peak is now we have |
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0:49:08 | so tall |
---|
0:49:09 | because it's uh because of the thresholding affect |
---|
0:49:11 | but this is |
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0:49:13 | the threshold |
---|
0:49:14 | for where there's a single peak about this |
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0:49:16 | we assume there's enough |
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0:49:18 | D in a block |
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0:49:19 | that part hasn't dropped out and there's only one only able to true hamas i get |
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0:49:23 | but a single peak below this such as that one there |
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0:49:26 | um |
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0:49:28 | the black one uh it doesn't have a partner |
---|
0:49:30 | but because it's below the threshold |
---|
0:49:32 | it's considered the dropout all of this is sort of a battery in very unsatisfactory but it's about this |
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0:49:36 | where at at the moment |
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0:49:38 | uh i would say so much about that case now |
---|
0:49:41 | 'cause i'm running out of time but this |
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0:49:43 | is a zeromean on what the electorate rhymes actually look like |
---|
0:49:47 | and with these low announced at dinner |
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0:49:49 | it's quite noisy this thirteen liam turned out to be quite important |
---|
0:49:53 | and at that time and this court case i |
---|
0:49:56 | on this axis was regarded as the threshold and you can see the audio |
---|
0:49:59 | the team |
---|
0:50:00 | reached a peak height of fifty four on this one run up the dozens and dozens of reruns of different |
---|
0:50:05 | samples from the crime scene |
---|
0:50:07 | that was the only time that it reached about fifty |
---|
0:50:10 | but i counted |
---|
0:50:11 | as a |
---|
0:50:11 | a full a leo and this |
---|
0:50:13 | because it's a rare really all turned out |
---|
0:50:15 | the strongest evidence against this guy |
---|
0:50:17 | so you can see what |
---|
0:50:18 | this page here much bigger than that one |
---|
0:50:20 | is of no evidential value that's just an experiment |
---|
0:50:24 | a cold start |
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0:50:25 | uh |
---|
0:50:26 | this |
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0:50:27 | one yeah |
---|
0:50:28 | and this one here are assumed to be just background noise |
---|
0:50:31 | uh and so you can |
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0:50:33 | see that it's not quite as sensitive issue about whether that's a real big |
---|
0:50:37 | um but uh nevertheless it was counted as such |
---|
0:50:40 | um |
---|
0:50:41 | and in that |
---|
0:50:42 | case |
---|
0:50:42 | there was some three |
---|
0:50:45 | a labels that shouldn't be in there if the defendant really was |
---|
0:50:49 | the contributed |
---|
0:50:49 | sample but one time we have a lot of argument about |
---|
0:50:52 | how to deal with this |
---|
0:50:54 | um |
---|
0:50:55 | and |
---|
0:50:57 | the standard |
---|
0:51:00 | um |
---|
0:51:01 | way of analysing this problem is a kind of version of the random anything you work out you would the |
---|
0:51:06 | probability |
---|
0:51:07 | there are a a guy chosen at random in the population would be excluded by the seven |
---|
0:51:12 | and there's a huge amount of problems with this |
---|
0:51:14 | you probably gathered i'm not a fan at all |
---|
0:51:16 | all this approach |
---|
0:51:17 | uh |
---|
0:51:18 | and i got hollis |
---|
0:51:19 | here things that are wrong but i'm sort of rushing out the end of my talk |
---|
0:51:23 | uh so i won't go |
---|
0:51:24 | in any uh did how but other |
---|
0:51:26 | other than that to say that in the |
---|
0:51:29 | the whole idea of inclusion and exclusion don't apply anymore when we've got a small amounts of D N A |
---|
0:51:35 | uh |
---|
0:51:35 | and uh |
---|
0:51:37 | but |
---|
0:51:38 | just one of many uh problems with this approach |
---|
0:51:41 | uh |
---|
0:51:42 | and how we're gonna talk you through a little bit |
---|
0:51:45 | of the |
---|
0:51:47 | how to work through a likelihood ratio in this problem in the way that i would |
---|
0:51:51 | fig is at least uh |
---|
0:51:52 | somewhat acceptable |
---|
0:51:53 | but i want to |
---|
0:51:55 | i won't go into that so they're all these issues about modelling dropout |
---|
0:51:58 | um |
---|
0:51:59 | but i'm going to skip over |
---|
0:52:02 | um |
---|
0:52:04 | the |
---|
0:52:06 | quite important would be low level cases usual masking that you often have D N A from a victim which |
---|
0:52:11 | is of high level |
---|
0:52:12 | uh and it could be masking nearly all from uh |
---|
0:52:15 | from the true uh |
---|
0:52:17 | perpetrator |
---|
0:52:18 | um |
---|
0:52:19 | so we need to take that into account |
---|
0:52:21 | drop in |
---|
0:52:22 | uh i've got just some little |
---|
0:52:24 | simulation results here that showed no matter how much you feel this |
---|
0:52:27 | to pee wee which is part of the |
---|
0:52:29 | of the random and I D and always claim to be conservative |
---|
0:52:33 | it's not |
---|
0:52:34 | so these probabilities under various |
---|
0:52:35 | assumptions |
---|
0:52:36 | sorry likelihood ratios which are smaller than the likelihood ratio one to that |
---|
0:52:40 | two P rule |
---|
0:52:41 | uh and i'll skip |
---|
0:52:43 | all of that oh i see this one is quite interesting if i |
---|
0:52:46 | oops |
---|
0:52:47 | it's quite interesting |
---|
0:52:49 | this is about |
---|
0:52:50 | what happens |
---|
0:52:51 | if the crime scene profile is now |
---|
0:52:54 | and if the defendant is pictures i guess |
---|
0:52:57 | uh i'd say that's like evidence against |
---|
0:52:59 | such a big so |
---|
0:53:01 | the typical position of almost everyone in the field would be to say that if the crime scene profile is |
---|
0:53:05 | now i'm is nowhere |
---|
0:53:06 | we can ignore it |
---|
0:53:08 | uh i say that's why incriminating |
---|
0:53:11 | because |
---|
0:53:12 | if you didn't see anything it's more likely that the offender was hedges i guess |
---|
0:53:16 | and so if you would defend the dispatchers i guess that's like evidence against him |
---|
0:53:20 | it's like evidence in his favour if he's homozygous |
---|
0:53:22 | but if there's masking |
---|
0:53:24 | it can be dramatic yeah evidence in favour of |
---|
0:53:26 | and |
---|
0:53:26 | and that sometimes so |
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0:53:28 | not appreciated |
---|
0:53:29 | um |
---|
0:53:30 | and |
---|
0:53:32 | i will |
---|
0:53:34 | do you have |
---|
0:53:36 | hesitate just like maybe on this case because |
---|
0:53:39 | it's sort of remarkable the idea |
---|
0:53:41 | is sometimes suggested that uh all the problems are solved |
---|
0:53:45 | in the uh |
---|
0:53:46 | in the D i haven't |
---|
0:53:47 | field and this is an example |
---|
0:53:48 | about what seems to me the most kind of scandalous uh |
---|
0:53:52 | uh miscarriage of just |
---|
0:53:53 | as i understood the case |
---|
0:53:54 | um |
---|
0:53:56 | the uh |
---|
0:53:57 | there was another who contributed to the sample |
---|
0:53:59 | uh and the case revolved around whether this whether or not this |
---|
0:54:03 | the stuff |
---|
0:54:03 | fig |
---|
0:54:04 | it's suspect it contributed was actually true contributor |
---|
0:54:07 | this is what was seen in the crime scene profile you see several dashes he means nothing was observed |
---|
0:54:12 | so both contribute is we're very low levels of the you know i |
---|
0:54:16 | and we have a substantial amount dropped out |
---|
0:54:18 | this was the sort of random and not excluded probability reported in court |
---|
0:54:23 | totally one in ninety six thousand |
---|
0:54:25 | it seems to be convincing enough to the guy to get |
---|
0:54:27 | i did |
---|
0:54:28 | uh but if you start looking closely at this |
---|
0:54:31 | this |
---|
0:54:32 | and there's some really uh |
---|
0:54:34 | scandalous things going on here |
---|
0:54:35 | uh look at this twelve and thirteen that was in the in the crime scene sample |
---|
0:54:40 | it's exactly the same as the G the type of the node contributed |
---|
0:54:43 | so arguably this is no evidence at all it's just reflecting the known contributed doesn't tell us anything |
---|
0:54:48 | uh |
---|
0:54:49 | but the relevant likelihood ratio used for that locus was six point five |
---|
0:54:53 | uh because that's what you get from this |
---|
0:54:55 | random and not excluded for me which is completely illogical |
---|
0:54:58 | uh and completely miss rate presents the evidence |
---|
0:55:01 | and uh when i |
---|
0:55:03 | applied |
---|
0:55:04 | the sort of likelihood ratio based theory |
---|
0:55:07 | that i'm talking about so i got some criticisms of the methods here |
---|
0:55:10 | um |
---|
0:55:11 | i could |
---|
0:55:13 | modify the random and not exclude formula to be a bit more reasonable instead might |
---|
0:55:18 | two thousand i would've got eight |
---|
0:55:19 | uh but when i did a likelihood ratio calculation |
---|
0:55:22 | that allows for example evidence to favour the depend |
---|
0:55:25 | some loci with less than one |
---|
0:55:27 | um |
---|
0:55:28 | i come up |
---|
0:55:29 | instead of ninety |
---|
0:55:30 | X thousand with a like a racial too |
---|
0:55:32 | uh this is |
---|
0:55:33 | you know virtually useless and |
---|
0:55:35 | i'm the worst uh |
---|
0:55:37 | uh we can study and i haven't i don't come across this really hardly any |
---|
0:55:41 | information in in italy three labels |
---|
0:55:44 | in all of this |
---|
0:55:45 | that are attributable |
---|
0:55:46 | to this person and not to that person |
---|
0:55:49 | so it's really uh kind of uh |
---|
0:55:51 | shockingly weak evidence |
---|
0:55:53 | uh |
---|
0:55:54 | completely |
---|
0:55:55 | misunderstood and misrepresented in court |
---|
0:55:58 | uh and the guy was found guilty |
---|
0:56:01 | so |
---|
0:56:02 | my uh |
---|
0:56:03 | conclusion as i said i had hoped |
---|
0:56:05 | the come back to draw more explicit parallels with |
---|
0:56:09 | voice problems but i'd i didn't really feel confident uh to do that |
---|
0:56:13 | uh i |
---|
0:56:14 | one |
---|
0:56:15 | tell you that uh |
---|
0:56:17 | there's a lot of progress being made with D N A evidence situation is much better than it used to |
---|
0:56:21 | be |
---|
0:56:21 | uh well as the previous case just shows that a lot still wrong |
---|
0:56:25 | um |
---|
0:56:26 | and uh |
---|
0:56:27 | much remains unsatisfactory |
---|
0:56:30 | and |
---|
0:56:31 | much |
---|
0:56:32 | there are some fundamental problems with the logical approach |
---|
0:56:36 | that uh |
---|
0:56:37 | that |
---|
0:56:38 | to which they i don't think there's ever going to be really sad |
---|
0:56:40 | actually solution but it nevertheless |
---|
0:56:42 | provides the most useful framework for |
---|
0:56:44 | thinking |
---|
0:56:46 | so i should stop |
---|
0:56:46 | yeah |
---|
0:56:47 | area |
---|
0:56:47 | never |
---|
0:56:48 | to |
---|
0:56:58 | very much |
---|
0:56:59 | you could be going on |
---|
0:57:01 | or |
---|
0:57:02 | oh |
---|
0:57:02 | the i think we can |
---|
0:57:04 | some |
---|
0:57:04 | a few minutes to |
---|
0:57:06 | okay |
---|
0:57:06 | hmmm |
---|
0:57:07 | scription |
---|
0:57:14 | um |
---|
0:57:15 | i work with |
---|
0:57:16 | and |
---|
0:57:16 | consuming no pollution |
---|
0:57:18 | automatic systems |
---|
0:57:20 | um |
---|
0:57:22 | usually we select |
---|
0:57:23 | no |
---|
0:57:23 | hmmm |
---|
0:57:24 | speaker comp |
---|
0:57:25 | from cool |
---|
0:57:27 | randomly |
---|
0:57:28 | one |
---|
0:57:29 | recuse work |
---|
0:57:30 | uh_huh |
---|
0:57:31 | oh |
---|
0:57:33 | always |
---|
0:57:33 | yeah |
---|
0:57:34 | so |
---|
0:57:36 | so when we do |
---|
0:57:38 | hmmm |
---|
0:57:38 | one |
---|
0:57:39 | to me oh cues |
---|
0:57:40 | see |
---|
0:57:41 | solution |
---|
0:57:41 | uh_huh |
---|
0:57:42 | fig |
---|
0:57:43 | equipment we have |
---|
0:57:45 | from |
---|
0:57:46 | selection |
---|
0:57:47 | different speakers |
---|
0:57:49 | uh |
---|
0:57:51 | oh |
---|
0:57:51 | well obviously it's um |
---|
0:57:53 | it's difficult to get it right and it seems to me that this is you you have to do some |
---|
0:57:57 | uh |
---|
0:57:59 | some version of this calibration on the basis of man |
---|
0:58:01 | no |
---|
0:58:03 | um |
---|
0:58:04 | speakers but |
---|
0:58:05 | the |
---|
0:58:05 | but but let me see comes to your question i mean the problem is about to leave the limited |
---|
0:58:10 | selection of comparison |
---|
0:58:12 | is that what you see |
---|
0:58:13 | not mutation but um |
---|
0:58:16 | uh usually |
---|
0:58:17 | whatever |
---|
0:58:19 | okay |
---|
0:58:19 | the question is |
---|
0:58:21 | should we only |
---|
0:58:22 | use |
---|
0:58:23 | different speaker comp |
---|
0:58:24 | and |
---|
0:58:25 | you know |
---|
0:58:25 | evaluations |
---|
0:58:26 | all speakers |
---|
0:58:27 | who sound simple |
---|
0:58:29 | because |
---|
0:58:29 | the keys |
---|
0:58:30 | right |
---|
0:58:30 | the case |
---|
0:58:31 | no obvious |
---|
0:58:32 | man |
---|
0:58:33 | comes to us with |
---|
0:58:34 | two totally different sounding speakers |
---|
0:58:36 | also |
---|
0:58:37 | expertise |
---|
0:58:39 | uh i see that um |
---|
0:58:41 | well i i can i i |
---|
0:58:43 | um |
---|
0:58:44 | do you |
---|
0:58:45 | you know the issues that i had to worry about a a quite a distinction is some overlap but there |
---|
0:58:49 | are fundamental uh |
---|
0:58:50 | uh |
---|
0:58:51 | differences and um |
---|
0:58:53 | i would |
---|
0:58:54 | that is that's obviously |
---|
0:58:57 | somewhat uh |
---|
0:58:58 | unsatisfactory but nevertheless i can see that it's going to sort of |
---|
0:59:02 | bias you in a difficult |
---|
0:59:04 | in in a bad direction because this is most |
---|
0:59:07 | this is the most challenging situation |
---|
0:59:09 | to distinguish the similar sounding voices |
---|
0:59:11 | uh |
---|
0:59:12 | and um |
---|
0:59:14 | any and by biasing harrington that should be a good bye |
---|
0:59:17 | i would |
---|
0:59:17 | oh |
---|
0:59:17 | it makes it more difficult for you to um |
---|
0:59:20 | establish |
---|
0:59:21 | i |
---|
0:59:22 | or whatever get produce evidence for identity |
---|
0:59:26 | but what about all this |
---|
0:59:27 | summation of all |
---|
0:59:28 | accuracy and precision |
---|
0:59:29 | please |
---|
0:59:31 | and |
---|
0:59:33 | yes |
---|
0:59:34 | speaker so maybe we want to |
---|
0:59:37 | during to use |
---|
0:59:38 | mm |
---|
0:59:39 | hmmm sounds |
---|
0:59:40 | maybe |
---|
0:59:41 | oh yeah |
---|
0:59:42 | more easy |
---|
0:59:44 | yes |
---|
0:59:45 | um |
---|
0:59:46 | but if you watch trying to distinguish |
---|
0:59:49 | same source |
---|
0:59:50 | from different sources if the different sources that you use |
---|
0:59:53 | i'm different but similar |
---|
0:59:56 | that makes that a hot a comparison not easy so |
---|
0:59:59 | that's what i was suggesting that um |
---|
1:00:02 | there should be a |
---|
1:00:03 | yeah that's this |
---|
1:00:04 | it's |
---|
1:00:04 | it's |
---|
1:00:05 | it's good that you you have to do one |
---|
1:00:08 | something like we would like what you were doing it would be nice to have |
---|
1:00:12 | probably well designed experiments where you have uh |
---|
1:00:15 | speakers that are similar and |
---|
1:00:17 | speakers that are more different |
---|
1:00:18 | uh and you can see the range of differences um you know i have emphasised a lot roller |
---|
1:00:23 | relatedness for D N A evidence but i don't know well |
---|
1:00:27 | you know of relative you know distinguishing |
---|
1:00:29 | brothers speaking for example whether that's harder than for unrelated individuals |
---|
1:00:34 | um but it |
---|
1:00:35 | um |
---|
1:00:36 | so |
---|
1:00:37 | ideally you'd like to |
---|
1:00:38 | be able to consider all those |
---|
1:00:40 | yeah |
---|
1:00:41 | i |
---|
1:00:42 | when you say um |
---|
1:00:43 | you might be overstating the precision |
---|
1:00:45 | but ultimately |
---|
1:00:46 | you want to process your |
---|
1:00:51 | uh |
---|
1:00:52 | and if you've given yourself harder task |
---|
1:00:54 | do |
---|
1:00:55 | by having the different speakers being somewhat simple |
---|
1:00:58 | i like it |
---|
1:00:59 | actually |
---|
1:01:00 | the other way around |
---|
1:01:00 | thing |
---|
1:01:01 | which |
---|
1:01:02 | you should |
---|
1:01:03 | two |
---|
1:01:03 | however |
---|
1:01:03 | false |
---|
1:01:04 | you know |
---|
1:01:05 | action |
---|
1:01:05 | so we can be more |
---|
1:01:07 | sure |
---|
1:01:07 | no |
---|
1:01:11 | yeah okay maybe i missed something the problem 'cause it does seem to me harder task if you had very |
---|
1:01:14 | different sources you could distinguish them quite easily |
---|
1:01:17 | uh and so that's an easy task |
---|
1:01:19 | if you have similar sources trying to distinguish them is hard so you have given yourself harder task it seems |
---|
1:01:24 | to me on this i've missed something |
---|
1:01:25 | problem |
---|
1:01:28 | maybe maybe we can chat a bit more later and i guess the bottom of this |
---|
1:01:39 | and |
---|
1:01:40 | i think if we don't |
---|
1:01:41 | yeah |
---|
1:01:42 | my question |
---|
1:01:43 | tries to the conventional you should be using |
---|
1:01:46 | or |
---|
1:01:47 | so |
---|
1:01:47 | yeah imagine we we |
---|
1:01:49 | yeah but uh |
---|
1:01:50 | speech lab |
---|
1:01:51 | which analyze the highest you |
---|
1:01:53 | to present evidence |
---|
1:01:54 | well |
---|
1:01:55 | and is |
---|
1:01:56 | which would be that uh we have a |
---|
1:01:58 | with the recording |
---|
1:01:59 | maybe |
---|
1:02:00 | along |
---|
1:02:01 | um |
---|
1:02:03 | one |
---|
1:02:04 | um we have |
---|
1:02:05 | we we are able to estimate multiple |
---|
1:02:08 | like |
---|
1:02:08 | reissues |
---|
1:02:10 | yes |
---|
1:02:10 | often |
---|
1:02:12 | do you have |
---|
1:02:13 | you know actually you know not |
---|
1:02:15 | you would |
---|
1:02:16 | imagine that |
---|
1:02:18 | those |
---|
1:02:18 | one |
---|
1:02:19 | yeah |
---|
1:02:19 | um |
---|
1:02:21 | reasonable |
---|
1:02:23 | uh |
---|
1:02:24 | and correlation with them but you cannot |
---|
1:02:26 | okay |
---|
1:02:27 | independent |
---|
1:02:28 | you like |
---|
1:02:29 | to to make the problem but you |
---|
1:02:31 | kind of |
---|
1:02:32 | um |
---|
1:02:32 | uh those uh |
---|
1:02:34 | multiple issues |
---|
1:02:36 | all of them |
---|
1:02:37 | small values maybe ten |
---|
1:02:39 | and |
---|
1:02:40 | more than one thousand |
---|
1:02:41 | um |
---|
1:02:42 | but |
---|
1:02:44 | the idea is |
---|
1:02:45 | how to present that |
---|
1:02:46 | i didn't see what would you have |
---|
1:02:47 | multiple |
---|
1:02:49 | different |
---|
1:02:50 | uses |
---|
1:02:51 | i mean it was |
---|
1:02:52 | yes |
---|
1:02:53 | and |
---|
1:02:54 | do you cannot |
---|
1:02:55 | the proof |
---|
1:02:56 | yeah |
---|
1:02:57 | this do you |
---|
1:02:58 | time |
---|
1:02:58 | hmmm |
---|
1:02:59 | the independence |
---|
1:03:01 | those |
---|
1:03:03 | yes |
---|
1:03:03 | well |
---|
1:03:04 | okay that is it |
---|
1:03:05 | an interesting and uh |
---|
1:03:07 | difficult question and i |
---|
1:03:09 | i feel |
---|
1:03:10 | instinctively as i was saying earlier that um |
---|
1:03:13 | you know what |
---|
1:03:13 | given |
---|
1:03:15 | the right framework and some independence assumption you know or to be uh |
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1:03:19 | more or less reasonable and you can never prove independence it does always uh you know |
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1:03:23 | like people |
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1:03:24 | spent a long time trying to prove |
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1:03:26 | independent self |
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1:03:28 | or |
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1:03:28 | different labels in D N A profiles |
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1:03:30 | it's a |
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1:03:31 | it's a few tile um |
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1:03:33 | the size |
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1:03:35 | all ultimately |
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1:03:36 | but um |
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1:03:38 | so but if you if |
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1:03:40 | if |
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1:03:41 | dependence |
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1:03:41 | is a really serious problem i am M |
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1:03:44 | i'm just trying to think |
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1:03:46 | i need i need to understand what the dependence structure is to |
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1:03:49 | so really help anybody dependence is a real |
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1:03:52 | and |
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1:03:53 | i'm |
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1:03:54 | to mount a problem then i think you're stuck really i don't i really can't see how |
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1:03:58 | um |
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1:03:59 | to make use |
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1:04:00 | of the |
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1:04:02 | multiple level |
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1:04:03 | because obviously you know if you did have independence you can multiply likelihood ratios and everything is uh |
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1:04:08 | it's uh |
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1:04:09 | is easy |
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1:04:11 | the um or |
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1:04:12 | oh |
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1:04:13 | yeah |
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1:04:14 | so |
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1:04:14 | the analogy with um |
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1:04:17 | with D N A evidence is that is that the relatedness is the right |
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1:04:20 | the condition on |
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1:04:21 | things become uh |
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1:04:23 | uh |
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1:04:23 | can be independent once you've got the right |
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1:04:26 | um |
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1:04:27 | uh |
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1:04:28 | conditioning but in general |
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1:04:30 | um |
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1:04:31 | this |
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1:04:32 | kind of model where there's some kind of latent variables so essentially |
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1:04:36 | relatedness is a latent variable |
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1:04:38 | uh and some kind of model you i |
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1:04:40 | where |
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1:04:41 | there is |
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1:04:42 | a latent variable that |
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1:04:44 | and |
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1:04:45 | encapsulate the common features of the different recording |
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1:04:48 | to generate |
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1:04:49 | pen |
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1:04:50 | um |
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1:04:51 | if you can |
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1:04:53 | uh condition on that latent variable and then integrated out in some way would deal with it in some appropriate |
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1:04:58 | way |
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1:04:59 | uh you know i feel as if there should be some modelling approach like that |
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1:05:02 | that would work and allowing to |
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1:05:04 | then make |
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1:05:05 | and it depends |
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1:05:06 | assumption i mean just you know in general modelling |
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1:05:08 | dependent data disk |
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1:05:10 | and of um |
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1:05:11 | random effects models type things work |
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1:05:14 | well |
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1:05:14 | and i would go back |
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1:05:16 | you have you you have to explore |
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1:05:17 | to the extent where you can be |
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1:05:19 | reasonably confident about independence assumption and give |
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1:05:22 | some good arguments for it i mean i've always |
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1:05:25 | no i can still never |
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1:05:28 | ruth independent any of the independent sign |
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1:05:30 | assumptions i make for the D N A profiles |
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1:05:32 | but i just tried walking from uh |
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1:05:35 | from reason that |
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1:05:36 | you know relation is just you know |
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1:05:38 | oh |
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1:05:39 | and if we model that we should have sold |
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1:05:41 | and |
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1:05:41 | problem |
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1:05:42 | and i i would have thought that some kind of a venue like that |
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1:05:44 | the only option |
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1:05:46 | well about can can you tell me briefly what is the cause of the dependence that uh |
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1:05:50 | the deepens is what you see yeah we have |
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1:05:53 | as for |
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1:05:53 | two can be analysing different phones |
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1:05:56 | syllables |
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1:05:57 | personally depends |
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1:05:59 | well then |
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1:06:00 | have different characters |
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1:06:01 | but a lot and come from the same source |
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1:06:03 | yes |
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1:06:04 | but once you conditioned on it being the same source |
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1:06:06 | right |
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1:06:06 | yeah |
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1:06:07 | uh anyway i think there's a modelling answer but if you really can't |
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1:06:11 | tackle |
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1:06:12 | the dependence with some kind of modelling and so than that and i think it is you know you do |
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1:06:16 | have a real fundamental problem because ultimately gonna say well |
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1:06:19 | if there is dependent stay then how big could it be and uh |
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1:06:22 | if you can't really quantify that in some way then |
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1:06:25 | i don't think you can usefully give multiple likely |
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1:06:27 | ratios and |
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1:06:28 | the |
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1:06:29 | court will figure it out |
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1:06:33 | you've got to do the work |
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1:06:37 | but you do with a |
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1:06:38 | people like working tonight |
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1:06:40 | for historical reasons B C we should emulate D N A yeah |
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1:06:44 | huh |
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1:06:45 | you've gone through to |
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1:06:46 | oh you're all the problems of the yeah yeah |
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1:06:48 | oh i i did i think you're doing exactly the right thing i wouldn't disagree with the strategy that order |
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1:06:52 | that's what i wanted to ask them what you |
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1:06:55 | yes |
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1:06:55 | should we still be saying we should ideally i i |
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1:06:58 | i think so yeah something where a lot for all these |
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1:07:01 | i mean i have to say difficulties remain otherwise on out of a job |
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1:07:04 | and the uh |
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1:07:05 | um |
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1:07:07 | uh about |
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1:07:09 | it is true but we definitely much better off than we were ten years ago |
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1:07:12 | and uh |
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1:07:13 | it's a bit like |
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1:07:14 | when you're teaching |
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1:07:16 | well almost anything |
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1:07:17 | in effect you tell the second year class to get everything we told you last year that was an over |
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1:07:21 | simplified version of the problem here is that |
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1:07:24 | here is the real |
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1:07:25 | them and then in the third year you tell the students to get everything we told you last year that's |
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1:07:28 | an over simplified version of the problem here is the real thing |
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1:07:31 | uh and uh |
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1:07:33 | i i |
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1:07:34 | i mean i can remember |
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1:07:35 | now there are some things where i do actually literally tell the students that and uh |
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1:07:39 | and i think |
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1:07:40 | that |
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1:07:41 | um |
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1:07:41 | you have to |
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1:07:43 | you know get |
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1:07:44 | except |
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1:07:45 | it's from the community by focusing on the |
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1:07:47 | on |
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1:07:48 | simplified versions |
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1:07:49 | uh |
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1:07:50 | and |
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1:07:51 | it is a step forward and then there will always be |
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1:07:53 | you know you never going to |
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1:07:56 | overcome all the proper |
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1:07:57 | just |
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1:07:57 | but is actually interesting that um you know the way these various complications that i've talked about many of them |
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1:08:02 | i don't think you do have an awards for it in many cases you're better off |
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1:08:06 | uh we i think |
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1:08:08 | you suggested to me in conversation that |
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1:08:10 | you know we have these population genetics models |
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1:08:13 | and that so |
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1:08:14 | and basically this thing i'm talking about that |
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1:08:16 | all the dependence comes from relatedness and once we |
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1:08:19 | concludes condition on the right level relatedness we can get rid of the dependence |
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1:08:22 | and i agree that's a good point but there's a lots of |
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1:08:25 | subjective ms |
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1:08:27 | in those models |
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1:08:28 | um |
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1:08:29 | and |
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1:08:30 | we have |
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1:08:31 | many other |
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1:08:33 | problems that i was describing to you that i don't think you do have any |
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1:08:37 | and the analogy for so |
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1:08:39 | in many ways i think |
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1:08:41 | the grass is greener on your side of |
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1:08:42 | fans i |
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1:08:45 | yes |
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1:08:47 | well i would like to |
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1:08:48 | thing but again |
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1:08:51 | i |
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1:08:56 | we should do this |
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