In this lecture, the univariate twin model is extended to the bivariate twin model. It is explained how the variance in two traits is decomposed into additive genetic, non-additive genetic, and ...

When two binary responses are measured for each study subject across time, it may be of interest to model how the bivariate associations and marginal univariate risks involving the two responses ...

Osteoporosis is a systemic skeletal disease characterized by low bone mass and deterioration of bone microarchitecture that result in bone fragility and susceptibility to fracture. 1 Positive family ...

Multivariate analysis is commonly used when we have more than one outcome variables for each observation. For instance, a survey of American adults’ physical and mental health might measure each ...

The exact and limiting distribution of quantiles in the univariate case is well known. Mood [3] investigated the joint distribution of medians in samples from a multivariate population, showing that ...