On the Power of Multiple Independent Tests When the Experimentwise Error Rate is Controlled
Bibliographic Data
| ID | 20287708 |
|---|---|
| Authors | Louis M Hsu (Fairleigh Dickinson University, corresponding author) |
| Year | 1980 |
| Volume | 40 |
| Issue | 1 |
| Pages | 31-40 |
| Publication date | 1980-04-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Educational and Psychological Measurement (JOURNAL) |
| Journal identifiers | ISSN: 0013-1644 • E-ISSN: 1552-3888 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/001316448004000104 |
| OpenAlex | W2060665307 |
| Language | EN |
| References cited | 6 |
The problem of controlling the probability (EW) that at least one Type I Error occur in a family of N statistical tests, has received much attention in recent psychological literature. However, the related problem of assessing the loss of Power in the collection of N tests, resulting from keeping EW at a tolerably low level, has received relatively little attention. The present paper addresses itself to this problem in the case of a family of tests of N planned orthogonal contrasts. A method is described which allows the determination of the probability that, given the existence of any pre-specified number of Small, Medium, and Large Effect Sizes (as defined by Cohen, 1969), exactly x out of m true alternative hypotheses (where 0 ≤ x ≤ m) concerning pairwise contrasts will be accepted when the EW is controlled using a method advocated by Games (1971) and Schafer and Macready (1975). The method is then generalized to handle other Effect Sizes and to handle contrasts involving more than two means
Econometrics · Pairwise comparison · Power (physics) · Statistical hypothesis testing · Statistical power · Statistics · Type I and type II errors · Computer Science · Mathematics · Optimal Experimental Design Methods · Psychology · Sensory Analysis and Statistical Methods · Statistical Methods in Clinical Trials
| Highly cited | No |
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