TY - JOUR
T1 - The application of analysis of variance (ANOVA) to different experimental designs in optometry
AU - Armstrong, Richard A.
AU - Eperjesi, Frank
AU - Gilmartin, Bernard
PY - 2002/5
Y1 - 2002/5
N2 - 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. © 2002 The College of Optometrists.
AB - 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. © 2002 The College of Optometrists.
KW - analysis of variance (ANOVA)
KW - experimental design
KW - factorial experimental design
KW - random effect factor
KW - randomised blocks
KW - repeated measures design
KW - split-plot design
UR - http://www.scopus.com/inward/record.url?scp=0036561480&partnerID=8YFLogxK
UR - http://www3.interscience.wiley.com/journal/118916197/abstract
U2 - 10.1046/j.1475-1313.2002.00020.x
DO - 10.1046/j.1475-1313.2002.00020.x
M3 - Article
C2 - 12090640
SN - 0275-5408
VL - 22
SP - 248
EP - 256
JO - Ophthalmic and Physiological Optics
JF - Ophthalmic and Physiological Optics
IS - 3
ER -