Reasoning Under Uncertainty Arena

A prosecution agent and a defence agent read the same two-person STR mixture. A checker audits every claim against the data and against likelihood-ratio arithmetic computed in this page.

Analytical threshold 50 RFU No randomness · no network

1. The evidence — synthetic mixed STR profile

Ten loci. Peak heights in RFU. Grey struck-through peaks have been called as stutter artefacts. Blue = an allele the suspect carries. Orange = the planted stutter trap. Dashed red = a suspect allele with no peak (possible drop-out).

12 1020 reported allele 11 102 called as stutter 18 330 suspect allele present 11 no peak suspect allele absent

2. Per-locus arithmetic

Minimum contributors = ceiling(number of called alleles / 2). Hp = the suspect plus one unknown person contributed. Hd = two unknown, unrelated people contributed.

Prosecution agent

Defence agent

3. Claim scoreboard

4. Combined likelihood ratio

How it works — plain words
STR mixture
DNA from more than one person in one sample. The machine reports, at each locus, which allele sizes it saw and how tall each peak was (RFU). Taller peak = more DNA of that allele.
Stutter
A copying slip during PCR makes a small extra peak one repeat unit below a real allele. It is an artefact of the chemistry, not a person. Here any peak shorter than 15% of the peak one repeat above it is called stutter and set aside. The danger: a stutter peak can sit exactly where a suspect's allele would be, and then it looks like proof.
Drop-out
When very little DNA is present, a real allele can fail to show up at all. The drop-out probability (D, default 0.10) is how often we allow that to happen. If D = 0, a missing suspect allele is a flat exclusion; the larger D is, the more forgiving the model becomes.
Likelihood ratio (LR)
LR = (probability of seeing this profile if the suspect contributed) divided by (probability of seeing it if an unknown unrelated person contributed instead). LR = 50 means the evidence is 50 times more probable under the prosecution proposition than under the defence one. LR below 1 means the evidence favours the defence.
Product rule
The per-locus LRs are multiplied together, which assumes the loci are independent of one another.
Prosecutor's fallacy
Turning "the evidence is 1,000 times more probable if he contributed" into "there is a 1 in 1,000 chance he is innocent". Those are different questions. The LR is about the evidence; guilt depends on everything else known in the case as well.
Verbal scale used here
LR < 1 supports the defence · 1–10 limited · 10–100 moderate · 100–1,000 strong · above 1,000 very strong support.
The exact model this page computes