Measuring the Relative Information in Allele-Sharing Linkage Studies
In the context of allele-sharing methods, this article investigates ways of measuring the information in the marker data relative to the amount of information that would have been available if the identity-by-descent (IBD) process were known. Such measures are needed to decide whether new markers can substantially modify the evidence for excess sharing. We propose new measures that take advantage of the properties of the exponential model introduced by Kong and Cox (1997, American Journal of Human Genetics61, 1179–1188). These measures are related to Fisher Information and hence are also efficiency measures. Large-sample and small-sample properties of the new and previously proposed measures of information are examined.