title: Linear and generalized linear models for the detection of QTL effects on within-subject variability.
abstract: Quantitative trait loci (QTLs) may affect not only the mean of a trait but also its variability. A special aspect is the variability between multiple measured traits of genotyped animals, such as the within-litter variance of piglet birth weights. The sample variance of repeated measurements is assigned as an observation for every genotyped individual. It is shown that the conditional distribution of the non-normally distributed trait can be approximated by a gamma distribution. To detect QTL effects in the daughter design, a generalized linear model with the identity link function is applied. Suitable test statistics are constructed to test the null hypothesis H(0): No QTL with effect on the within-litter variance is segregating versus H(A): There is a QTL with effect on the variability of birth weight within litter. Furthermore, estimates of the QTL effect and the QTL position are introduced and discussed. The efficiency of the presented tests is compared with a test based on weighted regression. The error probability of the first type as well as the power of QTL detection are discussed and compared for the different tests.
authors.affiliation: Forschungsinstitut für die Biologie landwirtschaftlicher Nutztiere, Wilhelm-Stahl-Allee 2, 18196 Dummerstorf, Germany.
authors.forename: Dörte
authors.initials: D
authors.lastname: Wittenburg
authors.forename: Volker
authors.initials: V
authors.lastname: Guiard
authors.forename: Friedrich
authors.initials: F
authors.lastname: Liese
authors.forename: Norbert
authors.initials: N
authors.lastname: Reinsch
mesh_terms: D000818:Animals; D001724:Birth Weight / Q000235:genetics; D003198:Computer Simulation; D005838:Genotype; D016014:Linear Models; D010641:Phenotype; D040641:Quantitative Trait Loci; D034421:Sus scrofa