Topic_9.0___Statistical_Inference___Comparison_of_Multiple_Groups

Topic_9.0___Statistical_Inference___Comparison_of_Multiple_Groups

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Statistical Inference: Comparison of Multiple Groups - One-way Analysis of Variance Method Ash Genaidy
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Introduction In the previous topic, we compared the means of two groups. We next extend those methods to the comparison of means of a quantitative response variable for several groups. The method of comparing means of the various groups is called the analysis of variance.
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Topic Outline Anatomy of F-test (Global test for comparing difference among the groups) Methods of multiple comparison tests Pairwise comparisons Tukey test Duncan test Complex Comparisons Scheffe Test
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Anatomy of F-test The analysis of variance is a method used to compare the means of a quantitative response variable for several groups. R.A.Fisher developed this method in the 1920s, primarily for data from agriculture experiments. The heart of this analysis is a significance test, using the F-distribution, for detecting evidence of differences among the population means.
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F-test: Notations g denotes the number of groups. The means of the response variable for the g populations, are μ 1 , μ 2 ,…, μ g. The analysis of variance is an
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Topic_9.0___Statistical_Inference___Comparison_of_Multiple_Groups

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