Tests That are Robust against Variance Heterogeneity in k × 2 Designs with Unequal Cell Frequencies
Bibliographic Data
| ID | 13668322 |
|---|---|
| Authors | John E Overall (University of Texas Medical School at Houston, corresponding author), Robert S Atlas (University of Texas Medical School at Houston), Janet M Gibson (Grinnell College, Grinnell, Iowa) |
| Year | 1995 |
| Volume | 76 |
| Issue | 3 |
| Pages | 1011-1017 |
| Publication date | 1995-06-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Psychological Reports (JOURNAL) |
| Journal identifiers | ISSN: 0033-2941 • E-ISSN: 1558-691X |
| Publisher | SAGE Publishing (PUBLISHER • US) |
| DOI | 10.2466/pr0.1995.76.3.1011 |
| PMID | 7568575 |
| OpenAlex | W1972633622 |
| Language | EN |
| Citations received | 5 |
| References cited | 7 |
Heterogeneity of variance produces serious bias in conventional analysis of variance tests of significance when cell frequencies are unequal. Welch in 1938 and 1947 proposed an adjusted t test for the difference between two means when cell frequencies and population variances are both unequal. This article describes two ways to use the Welch t to evaluate the significance of the main effect for two treatments across k levels of a concomitant factor in a two-way design. Monte Carlo results document the bias in conventional analysis of variance tests and the stable and appropriately conservative results from applications of the Welch t to evaluation of treatment effects in the two-way design
Analysis of variance · Biology · Econometrics · Economics · Monte Carlo method · One-way analysis of variance · Population · Population variance · Statistics · Test (biology · Variance (accounting · Advanced Causal Inference Techniques · Demography · Mathematics · Psychology · Statistical Methods and Inference · Statistical Methods in Clinical Trials
Why Psychologists Should by Default Use Welch’s t-test Instead of Student’s t-test
Power of a Test That is Robust against Variance Heterogeneity
Some Properties of Preliminary Tests of Equality of Variances in the Two-Sample Location Problem
Statistical Significance Levels of Nonparametric Tests Biased by Heterogeneous Variances of Treatment Groups
Effects of Video Length on a Flipped English Classroom
The Generalization of ‘Student's’ Problem When Several Different Population Varlances Are Involved
Consequences of Failure to Meet Assumptions Underlying the Fixed Effects Analyses of Variance and Covariance
Some Properties of Preliminary Tests of Equality of Variances in the Two-Sample Location Problem
Combining results of independent studies
Comparing significance levels of independent studies
| Unique citing works | 5 |
|---|---|
| Citations per year | 0.16 |
| Citation span | 1995 - 2022 (28) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 5 |