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Exclusion Probability (W)

Definition

The proportion of the male reference population that would be excluded as the biological father by the marker panel tested. A high W indicates a discriminating test panel; it does not directly state the probability that the alleged father is the true father.

Symbol
W
Measures
Proportion of the male reference population excluded by the marker panel
Interpretation
High W means a more discriminating panel, not a paternity probability
Field
Statistical interpretation of serological relationship evidence

Common questions

Why does a high exclusion probability W not equal a high probability of paternity?+

W describes how well the marker panel discriminates among unrelated men in the reference population. Whether a specific untested man is the true father depends on the likelihood ratio for that individual, which is a separate calculation from the panel's general discriminating power.

How is W used differently from a paternity index in a case report?+

W is typically cited to justify why a panel was chosen or to describe its general power, while a case-specific paternity index or combined paternity index applies the actual test results of the alleged father to state the strength of evidence for that individual.

Related terms

Combined Paternity Index (CPI)
The product of all individual paternity indices across all marker systems tested. Assumes independence of the marker systems. The CPI is a...
Essen-Moller W
The formula for probability of paternity derived by Erik Essen-Moller in 1938 and widely adopted by forensic laboratories. W = CPI /...
Obligatory Paternal Allele
The allele a child must have received from the biological father, identified by subtracting the mother's alleles from the child's genotype. The...
Paternity Index (PI)
A likelihood ratio that compares the probability of the observed serological profile if the alleged father is the biological father to the...
Probability of Paternity (W)
The posterior probability that the alleged father is the biological father, calculated from the CPI and a prior probability using Bayes' theorem....

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