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The use of analysis of variance procedures in biological studies

Applied Stochastic Models and Data Analysis

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DOI: 10.1002/asm.3150030403

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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.

Additional Publication Details

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
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
Number of Pages:
20