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Analysis of Variance with Unequal Variances [PDF]
Journal of Quality Technology, 1981 Analysis of variance (ANOVA) is often used in quality control studies. It assumes equal variabilities within groups, and no exact procedures have been available for cases with unequal variabilities. In this paper exact procedures are given and illustrat..
Thomas A. Bishop, Edward J. Dudewicz
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Comparing individual means in the analysis of variance.
Biometrics, 1949The practitioner of the analysis of variance often wants to draw as many conclusions as are reasonable about the relation of the true means for individual "treatments," and a statement by the F-test (or the z-test) that they are not all alike leaves him ...
J. Tukey
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A new method for non-parametric multivariate analysis of variance in ecology
, 2001Hypothesis-testing methods for multivariate data are needed to make rigorous probability statements about the effects of factors and their interactions in experiments. Analysis of variance is particularly powerful for the analysis of univariate data. The
Marti J. Anderson
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An Analysis of Variance Test for Normality (Complete Samples)
, 1965The main intent of this paper is to introduce a new statistical procedure for testing a complete sample for normality. The test statistic is obtained by dividing the square of an appropriate linear combination of the sample order statistics by the usual ...
S. Shapiro, M. Wilk
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The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance
, 1937(1937). The Use of Ranks to Avoid the Assumption of Normality Implicit in the Analysis of Variance. Journal of the American Statistical Association: Vol. 32, No. 200, pp. 675-701.
M. Friedman
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, 2013 In this chapter we cover the case where we wish to compare the means from several groups, where “several” is defined as more than two. The method we use in this case is called an Analysis of Variance (ANOVA), which is a well-known and widely-used statistical procedure.
Edward L. Boone, Roy T. Sabo
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A Cluster Analysis Method for Grouping Means in the Analysis of Variance
, 1974It is sometimes useful in an analysis of variance to split the treatments into reasonably homogeneous groups. Multiple comparison procedures are often used for this purpose, but a more direct method is to use the techniques of cluster analysis.
A. Scott, M. Knott
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1988
Publisher Summary This chapter discusses variance analysis. A variance is the difference between planned, budgeted, or standard cost and actual costs. Variances can arise on both costs and revenues. If a variance is worse than the budget/standard, that is, costs are excessive or revenues inadequate, then the resultant variance is described as an ...
P. Stevens, B. Kriefman
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Publisher Summary This chapter discusses variance analysis. A variance is the difference between planned, budgeted, or standard cost and actual costs. Variances can arise on both costs and revenues. If a variance is worse than the budget/standard, that is, costs are excessive or revenues inadequate, then the resultant variance is described as an ...
P. Stevens, B. Kriefman
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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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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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Analysis of variance in soil research: Examining the assumptions
European Journal of Soil Science, 2019Three assumptions underly safe inference from an analysis of variance of soil data from designed experiments and surveys. They are (a) that the residuals are normally distributed, (b) that the within‐groups variances are equal and (c) that effects of ...
R. Webster, R. Lark
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