Likelihood Ratio and Score Tests for Heterogeneity in Genetic Linkage | ||||
The Egyptian Statistical Journal | ||||
Article 2, Volume 47, Issue 1, June 2003, Page 11-35 | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.2003.313775 | ||||
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Abstract | ||||
One of the fundamental goals of most linkage studies is to localize a gene believed to be responsible for a trait locus by the investigation of its co-segregation with a genetic marker. Statistical techniques for linkage investigations have been introduced in the early 1930's. These were followed by the introduction of the log-odds approach (Morton 1955; Smith 1963) which provided standard methods to report and analyze linkage data collected from independent sib-ships. Because of the heterogeneity in the manner diseases affect families, use of the standard log-odds approach will result in a considerable reduction i the statistical power to detect linkage between disease trait and marker loci. This paper investigates the asymptotic properties of statistical tests that would be used to detect linkage under heterogeneity. | ||||
Keywords | ||||
Mixture Distributions; Likelihood Inference; EM Algorithm; Statistical Power; Monte Carlo Study | ||||
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