Testing multiple variance components in linear mixed-effects models.

Testing zero variance components is one of the most challenging problems in the context of linear mixed-effects (LME) models. The usual asymptotic chi-square distribution of the likelihood ratio and score statistics under this null hypothesis is incorrect because the null is on the boundary of the parameter space. During the last two decades many tests have been proposed to overcome this difficulty, but these tests cannot be easily applied for testing multiple variance components, especially for testing a subset of them. We instead introduce a simple test statistic based on the variance least square estimator of variance components. With this comes a permutation procedure to approximate its finite sample distribution. The proposed test covers testing multiple variance components and any subset of them in LME models. Interestingly, our method does not depend on the distribution of the random effects and errors except for their mean and variance. We show, via simulations, that the proposed test has good operating characteristics with respect to Type I error and power. We conclude with an application of our process using real data from a study of the association of hyperglycemia and relative hyperinsulinemia.

Y chromosome diversity among the Iranian religious groups: a reservoir of genetic variation.

BACKGROUND: Iran is ethnically, linguistically and religiously diverse. However, little is known about the population genetics of Iranian religious communities. AIM: This study was performed in order to define the different paternal components of the Iranian gene pool. SUBJECTS AND METHODS: Fourteen Y chromosome bi-allelic markers were analysed in 130 male subjects from Assyrian, Armenian and Zoroastrian groups in comparison with 208 male subjects from three Iranian Muslim groups. RESULTS: Among the three Iranian Muslim groups, the Uromian people possessed a particularly close genetic relationship to the Armenian, whereas the Zoroastrian group was different from the Uromian, but had a close genetic relationship to the two other Muslim groups (Kermanian and Shirazian). The genetic results indicate a relationship between Armenian and Assyrian groups in Iran and a clear distinction of the former from the Zoroastrian group. However, Assyrians had elevated frequency (40%) of R*(xR1a) and low frequency (11%) of J. CONCLUSION: The results of this study may suggest that the Assyrian population either experienced Eurasian gene flow (possibly from Armenia) or that enforced relocations and expulsion of conquered people with different origin led to the integration of descendants with R haplogroup. This could also be due to genetic drift due to small population size and endogamy resulting from religious barriers.