But these numbers do not give the probative value of an identification or an exclusion in a particular case. For one thing, these numbers apply to a large group of examiners who are not representative of all LPEs and to challenging pairings of prints. To permit an extrapolation to the particular case, however, let us assume that the examiner in that case performed identically to this group in examining a pair of prints that was comparable to the pairs in the study. Suppose this LPE then made an identification to the defendant. How much support would that provide for the prosecution’s case?
The positive predictive value of 99.8% does not apply to this case unless the prior probability that the latent and the exemplar are mates is the same as the prevalence of matees in the study. The prevalence of mates among the pairs found to be of value for individualization was 4083/5969 = 68.4%. The prior probability here could be lower (if the exemplar came from an AFIS search and there were no other evidence in the case, for example). Or it could be higher (if the other evidence was such that the probability of a mate without regard to the match exceeded 68.4%).
The expert witness is not in a position to choose prior probabilities for the jurors, but an expert could display the posterior probability as a function of the possible priors. A figure in the Noblis-FBI study graphs this function, and it might be presented to the jury. This method of explaining a match has been debated in the legal literature for some 40 years. See David H. Kaye et al., The New Wigmore on Evidence: Expert Evidence (2d ed. 2011).
Instead of talking in terms of the posterior probability, one can focus on the likelihood ratio (LR) in its own right. This ratio indicates how much the finding of a match shifts the odds (based on other evidence) that the defendant is the source of the latent print. The LR is given by
P(identification | mate & VIn & conclusion) ------------------------------------------------------------------ P(identification | nonmate & VIn & conclusion) | = | Sensitivity ------------------------- (1 – Specificity) | ||
= | 89.1 --------------- (1 – 99.8) | = | 587. |
No comments:
Post a Comment