ANOVA FOR UNBALANCED DATA - AN OVERVIEW

被引:408
作者
SHAW, RG
MITCHELLOLDS, T
机构
[1] UNIV CALIF RIVERSIDE, DEPT BOT & PLANT SCI, RIVERSIDE, CA 92521 USA
[2] UNIV MONTANA, DEPT BIOL SCI, MISSOULA, MT 59812 USA
关键词
D O I
10.2307/1939922
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
Ecological studies typically involve comparison of biological responses among a variety of environmental conditions. When the response variables have continuous distributions and the conditions are discrete, whether inherently or by design, then it is appropriate to analyze the data using analysis of variance (ANOVA). When data conform to a complete, balanced design (equal numbers of observations in each experimental treatment), it is straightforward to conduct an ANOVA, particularly with the aid of the numerous statistical computing packages that are available. Interpretation of an ANOVA of balanced data is also unambiguous. Unfortunately, for a variety of reasons, it is rare that a practicing ecologist embarks on an analysis of data that are completely balanced. Regardless of its cause, lack of balance necessitates care in the analysis and interpretation. In this paper, our aim is to provide an overview of the consequences of lack of balance and to give some guidelines to analyzing unbalanced data for models involving fixed effects. Our treatment is necessarily cursory and will not substitute for training available from a sequence of courses in mathematical statistics and linear models. It is intended to introduce the reader to the main issues and to the extensive statistical literature that deals with them.
引用
收藏
页码:1638 / 1645
页数:8
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