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The application of analysis of variance ( ANOVA ) to different experimental designs in optometry
Author(s) -
Armstrong R. A.,
Eperjesi F.,
Gilmartin B.
Publication year - 2002
Publication title -
ophthalmic and physiological optics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.147
H-Index - 66
eISSN - 1475-1313
pISSN - 0275-5408
DOI - 10.1046/j.1475-1313.2002.00020.x
Subject(s) - analysis of variance , mixed design analysis of variance , repeated measures design , factorial experiment , statistics , variance (accounting) , context (archaeology) , statistical analysis , mathematics , factorial , one way analysis of variance , main effect , design of experiments , factorial analysis , computer science , geography , mathematical analysis , accounting , business , archaeology
Analysis of variance ( ANOVA ) is the most efficient method available for the analysis of experimental data. Analysis of variance is a method of considerable complexity and subtlety, with many different variations, each of which applies in a particular experimental context. Hence, it is possible to apply the wrong type of ANOVA to data and, therefore, to draw an erroneous conclusion from an experiment. This article reviews the types of ANOVA most likely to arise in clinical experiments in optometry including the one‐way ANOVA (`fixed' and `random effect' models), two‐way ANOVA in randomised blocks, three‐way ANOVA , and factorial experimental designs (including the varieties known as `split‐plot' and `repeated measures'). For each ANOVA , the appropriate experimental design is described, a statistical model is formulated, and the advantages and limitations of each type of design discussed. In addition, the problems of non‐conformity to the statistical model and determination of the number of replications are considered.