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Analysis of Variance

Circulation, 2008
Analysis of variance (ANOVA) is a statistical technique to analyze variation in a response variable (continuous random variable) measured under conditions defined by discrete factors (classification variables, often with nominal levels). Frequently, we use ANOVA to test equality among several means by comparing variance among groups relative to ...
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Randomization and the Analysis of Variance

Biometrics, 1975
This paper attempts to strengthen faith in randomization, first by defining it in general and second by showing how it is the fundamental means, in many experiments, of generating the probability space. It is defined by the natural structure of the experimental units (E.U.'s) not by a particular experimental design imposed on that structure.
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Variance, Analysis of

2008
Analysis of variance (ANOVA) represents a set of models that can be fit to data, and also a set of methods for summarizing an existing fitted model. We first consider ANOVA as it applies to classical linear models (the context for which it was originally devised; Fisher, 1925) and then discuss how ANOVA has been extended to generalized linear models ...
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The Analysis of Variance

1981
In earlier chapters we have defined the model linear in the parameters, commonly called the linear model, and discussed the theory of estimating parameters of the model by the method of least squares. Our applications of the theory so far have been to simple linear regression, polynomial regression and multiple regression. However, there is a very wide
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Multivariate Analysis of Variance

Journal of Marketing Research, 1987
Introduction to Multivariate Analysis of Variance Omnibus MANOVA Tests Analyzing and Interpreting Significant MANOVAs Causal Models Underlying MANOVA Analyses Complex Designs Overview of Computer Programs for ...
D. D. V. Morgan   +2 more
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The Analysis of Variance (ANOVA)

Nutritional Neuroscience, 1999
This is the fourth in a series of articles devoted to a simplified description of experimental design, statistical analysis and interpretation. This article deals with a basic description of the analysis of variance (ANOVA) and its methods of computation and hypothesis testing.
H W, Thompson, R, Mera, C, Prasad
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Interactions in the Analysis of Variance

Journal of the American Statistical Association, 2012
The standard model for the analysis of variance is over-parameterized. The resulting identifiability problem is typically solved by placing linear constraints on the parameters. In the case of the interactions, these require that the marginal sums be zero.
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Analysis of Variance I

2011
Analysis of Variance (ANOVA) is a statistical procedure for comparing means of two or more populations. As the name suggests, ANOVA is a method for studying differences in means by analysis of the variance components in the model. In earlier chapters we have considered two sample location problems; for example, we compared the means of two groups using
Jim Albert, Maria Rizzo
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On Additivity in the Analysis of Variance

Biometrics, 1961
The problem relating to additivity in the analysis of variance is twofold. In the first place we wish to know whether we can remove any of the non-additivity present in our data, and in the second place we wish to know, given that it can be done, how to do so. Here two methods that have already been proposed for testing for non-additivity are developed
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Further Analysis of Variance

1981
In Chapter 15 we considered two-way crossed classifications, and in this section we discuss briefly the theory of the three-way crossed classification with one observation per cell. The theory is based upon principles discussed in earlier chapters. As an example we shall use some data from an experiment discussed by Lemus (1960), slightly modified.
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