I found an old blog post of mine which mentioned both the Leiterman case and Profile N in New Zealand.
I'll comment on this part:
The main issue in this case is a disagreement among experts over the correct statistical calculation to use in cold hit cases. Another key element in this case is that it made use of a partial, not full, DNA profile. In the United States a full DNA profile has thirteen separate markers (loci). A profile must have seven markers for it to be searched in California’s database. However, only 5 and a half markers were clearly found in the Sylvester murder. The jury was told that the chances of a random person’s matching the DNA found at the crime scene were 1.1 million to one. Yet when the odds were calculated with a different set of statistical assumptions the odds were only one in three, a statistic that the jury was barred from hearing. This is why the odds were only 1.1 million to one, and not substantially higher. However, when one uses a model that takes into account that there were 338,000 profiles in the database, one arrives at the 1-in-3 odds. The question of which model is better is a difficult one, yet it is odd that California courts have taken it upon themselves to decide which model is more appropriate. And the difference between one in 1.1 million and 1 in 3 is huge. It would have probably been enough to move at least one juror from guilty to not guilty beyond a reasonable doubt.
The way you calculate odds of a random person matching is by looking at the frequency of each locus in a given population. Each locus is a simple number, ranging from something like 4 all the way up to 17 and sometimes more. This is the number of short, four nucleotide repeats in non-coding DNA that appears in specific places, you count the number of repeats the person has on that alele.
Anyway, if you have five loci to work with, you'll have something like:
D3S1358 14, 17
vWA 14,14 (homozygote)
D16S539 10,11
D2S1338 19,25
D8S1179 14,15
This is a realistic example, taken from a kit that would be used in 2002, page 94:
https://assets.thermofisher.com/TFS-Assets/LSG/manuals/cms_041049.pdf
You then look up for frequency of each alele, either in racial information or take the whole thing, and come up with a number that 1 in 1.1 million people would have a profile like that. This is the approximate odds of this sample above that I made up.
So the match is not 1:3, because the database is 380,000 people strong. That's just the odds of having one person with that DNA profile in the database. The DNA could still be deposited there by only one person in an entire city worth of people. If you had a database of 33 million people you'd expect about 30 people to be possible donors and if you did so the police could check those people one by one to exclude them as suspects. Most would have rock-solid alibis (innocent people usually do) and the rest could be excluded by other basic measures, such as not matching the description or whatever other evidence is used to convict. DNA evidence alone is useless.
McHrozni
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