Journal ArticleDOI
To Pool or Not to Pool in Hypothesis Testing
TLDR
In this paper, necessary and sufficient conditions for admissibility are given for test procedures based on a preliminary test of significance, which is equivalent to the intuitive and practical condition that acceptance regions of the procedures have convex sections in certain variables, while other variables are fixed.Abstract:
Necessary and sufficient conditions for admissibility are given for test procedures based on a preliminary test of significance. Three types of problems are studied—testing the normal mean, fixed effects models of the analysis of variance and random effects models. Admissibility in this instance is equivalent to the intuitive and practical condition that acceptance regions of the procedures have convex sections in certain variables, while other variables are fixed. It is easy to check when the conditions hold. A discussion of optimality properties of these and other types of pooling procedures is given.read more
Citations
More filters
Book ChapterDOI
13 Inference based on conditionally specified ANOVA models incorporating preliminary testing
T. A. Bancroft,Chien Pai Han +1 more
TL;DR: In this article, the inference based on conditionally specified univariate analysis of variance (ANOVA) models incorporating preliminary testing is discussed, where the inference procedure is based on the assumption that the unknown parameters actually select a particular subclass of the particular reasonable model specification.
Journal ArticleDOI
The impact of a preliminary test for interaction in a 2 × 2 factorial trial
TL;DR: In this article, the authors show that in the presence of interaction, such pooling may seriously inflate the type I error rate in testing for the simple effect in factorial trials.
Dissertation
Statistical methods for the analysis of covariance and spatio-temporal models
TL;DR: A self-similarity spatio-temporal model for the pressures of oil wells in an Alaskan oil field is considered, and Bayesian techniques are extended to this situation with a view towards future interdisciplinary research.
Journal ArticleDOI
Cautions on the reanalysis of epidemiologic databases.
TL;DR: This paper shows analytically that the reanalysis of a designed study without adjustment for the design variable can produce biased results, and demonstrates further that preliminary testing for the existence of second- and third-order interactions can provide substantial bias reduction.
References
More filters
Journal ArticleDOI
On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance
TL;DR: In this article, the consequences of performing a preliminary $F$-test in the analysis of variance were described and a more stable procedure was recommended for performing the preliminary test in which the two mean squares are pooled only if their ratio is less than twice the 50% point.
Journal ArticleDOI
Tests of Composite Hypotheses for the Multivariate Exponential Family
T. K. Matthes,D. R. Truax +1 more
TL;DR: In this paper, a complete class of tests which are independent of the particular exponential distribution is defined and the class is, in fact, complete relative to the stronger ordering among tests which compare conditional power, given a certain statistic, pointwise.
Journal ArticleDOI
Estimates of Linear Combinations of the Parameters in the Mean Vector of a Multivariate Distribution
Journal ArticleDOI
Admissibility of Estimators of the Mean Vector of a Multivariate Normal Distribution with Quadratic Loss
TL;DR: In this article, a necessary and sufficient condition for an estimator to be generalized Bayes is defined, along with an alternate condition for the estimator not to be generalized Bayes.
Journal ArticleDOI
Inference for some incompletely specified models involving normal approximations to discrete data.
Kale Bk,Bancroft Ta +1 more
TL;DR: In this article, the problem of pooling means of two independent random samples from discrete distributions (in particular Poisson and binomial) which can be approximated by normal distributions after the appropriate transformations is considered.