The use of analysis of variance procedures in biological studies
Applied Stochastic Models and Data Analysis
By: B. Kenneth Williams
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Abstract
The analysis of variance (ANOVA) is widely used in biological studies, yet there remains considerable confusion among researchers about the interpretation of hypotheses being tested. Ambiguities arise when statistical designs are unbalanced, and in particular when not all combinations of design factors are represented in the data. This paper clarifies the relationship among hypothesis testing, statistical modelling and computing procedures in ANOVA for unbalanced data. A simple two-factor fixed effects design is used to illustrate three common parametrizations for ANOVA models, and some associations among these parametrizations are developed. Biologically meaningful hypotheses for main effects and interactions are given in terms of each parametrization, and procedures for testing the hypotheses are described. The standard statistical computing procedures in ANOVA are given along with their corresponding hypotheses. Throughout the development unbalanced designs are assumed and attention is given to problems that arise with missing cells.
Suggested Citation
Williams, B.K., 1987, The use of analysis of variance procedures in biological studies: Applied Stochastic Models and Data Analysis, v. 3, no. 4, p. 207-226, https://doi.org/10.1002/asm.3150030403.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | The use of analysis of variance procedures in biological studies |
| Series title | Applied Stochastic Models and Data Analysis |
| DOI | 10.1002/asm.3150030403 |
| Volume | 3 |
| Issue | 4 |
| Publication Date | August 31, 2006 |
| Year Published | 1987 |
| Language | English |
| Contributing office(s) | Patuxent Wildlife Research Center |
| Description | 207-226 |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Applied Stochastic Models and Data Analysis |
| First page | 207 |
| Last page | 226 |