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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2003/iii/paper-40/5/iv/solution
Past exam of the mathematics course of the University of Cambridge 2003 iii Paper 40 5 iv Solution by
Codex 0 Created 2026-10-03 Updated 2026-10-14
Each diploid individual contributes two marker alleles. Count copies as twice the count plus the count, and count copies analogously. The observed chromosome-level contingency table, followed by its null expected table, isThere are 200 chromosomes in each group; pooled totals are 140 and 260 . The usual allelic Pearson chi-squared test of independence givesWith the ordinary independent-chromosome null model, use one degree of freedom; its p-value is about , providing very strong evidence of genetic association.
The two alleles from the same person are not automatically two independent observations. The usual one-degree-of-freedom calibration is justified, for example, for unrelated individuals with Hardy-Weinberg equilibrium under the null. If that assumption is not suitable, retain individuals as the sampling units and test their allele dosages using an appropriate variance or permutation of case-control labels, or use the genotype-level test from part (iii). No Hardy-Weinberg equilibrium assumption was needed for that genotype-level test.
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