This study examines effects of calibration errors on model assumptions and data–analytic tools in direct calibration assays. These effects encompass induced dependencies, inflated variances, and heteroscedasticity among the calibrated measurements, whose distributions arise as mixtures. These anomalies adversely affect conventional inferences, to include the inconsistency of sample means; the u...

Traditional analysis of variance (ANOVA) tests are based on the assumption of homogeneous error variances, which often fails in real situations. Violation of this assumption affects not only the power of the standard F-test, but also its size. When a design is unbalanced, the effect of unequal error variances is even more complicated. In this paper, we study the effect of heterogeneous error va...

We consider Vickrey–Clarke–Groves (VCG) auctions for a very general combinatorial structure, in an average-case setting where item costs are independent, identically distributed uniform random variables. We prove that the expected VCG cost is at least double the expected nominal cost, and exactly double when the desired structure is a basis of a bridgeless matroid. In the matroid case we furthe...

This paper studies two types of seasonal time series models with periodic variances. Covariance structures of the noise component in the models are discussed. For parameters in the regression component, the performance of the least squares estimates relative to the best linear unbiased estimates is investigated, and some lower bounds for the eecient coeecient deened by the covariance matrices o...

A table for adjusting expected progeny differences (EPD) to a base year and breed basis depends on analyses of records of progeny of bulls of different breeds in a common environment and requires that those reference bulls also have other progeny to provide within-breed EPD. Currently, the germ plasm evaluation project at the Meat Animal Research Center (MARC) provides such a common environment...