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Richness for the One-Way ANOVA Layout
Pages 3-14

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From page 3...
... Statistical software will be taken to be any collection of computer programs and associated information intended to directly aid the production of any sort of statistical analysis. Note that this definition includes software that itself may not produce statistical analysis.
From page 4...
... In one-way AN OVA, a continuous response variable is examined to assess whether it is related to a categorical predictor variable. The predictor values may be strictly nominal, ordered categories, or internal scale values.
From page 5...
... Testing methods include the general linear hypothesis test and the many kinds of multiple comparison methods available [Miller, 19814. Note that estimation of parameter variances and the specification of confidence intervals allow an (embedded)
From page 6...
... . Assuming Gaussian errors leads to maximum likelihood optimality of the least squares calculations, and allows closed-form calculation of optimal likelihood ratio tests.
From page 7...
... One-Way Examples For the traditional Gaussian errors approach, example analysis outputs include an ANOVA source table, parameter estimates and associated variance estimates, and plots of means. Example diagnostic outputs include tests of homogeneity or normality, and box-plots for each cell.
From page 8...
... One-Way Examples Options that might be desired in the traditional one-way ANOVA include choice of coding scheme, deletion of the intercept from the model, creation of confidence intervals for mean differences, specification of the categorical variable as a random effect, and diagnostics for homogeneity of distribution across groups. Comments The goals, structure, and audience of software mostly determine what options can and should be available.
From page 9...
... One-Way Examples Currently, most ANOVA software reports source tables by default and multiple comparisons at the user's specific request. For software with diagnostics available' few packages report them by default.
From page 10...
... One-Wav Examples Traditionally paperback books designed to be reference manuals have been the primary documentation available to the user. Such manuals focus on describing the vocabulary and grammar of the language needed to control such things as 10
From page 11...
... Sophisticated users may dislike the presence of statistical information and advice in documentation, while novice users often crave it. System implementation documentation should be available.
From page 12...
... Natural language sophistication and physiological limitations, such as color blindness or response speed, may be relevant in some applications. General Principles Designers, programmers, documenters, and reviewers of statistical software need to be explicitly and continuously sensitive to the audiences of interest.
From page 13...
... Purl, M.L., and P.K. Sen, 1985, Nonparametric Methods in General Linear Models, John Wiley & Sons, New York.


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