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cell G5 contains the Excel formula =RANK.AVG(B5,$B$5:$E$19,1), or for Excel 2007 users the equivalent Real Statistics formula =RANK_AVG(B5,$B$5:$E$19,1).įigure 2 – Ranking of the input data elementsĪ two factor ANOVA is then performed using the ranks (i.e. The first thing the Scheirer Ray Hare data analysis tool does is to calculate the ranks for all the input data elements, as shown on the right side of Figure 2.
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Despite this, we will perform the Scheirer Ray Hare test to show how it is done and to compare the results with ANOVA. We first note that if we use the Shapiro-Wilks test on each of the interaction samples we would see that there is no significant departure from normality (although these samples only contain 5 elements) and so we really don’t need to use the Scheirer Ray Hare test, since the usual ANOVA is a more accurate and powerful test. On the dialog box that appears choose the Anova – two factor option and fill in the dialog box that appears as shown in Figure 1 and press the OK button. To perform the analysis, press Ctrl-m and double click on the Analysis of Variance option. Real Statistics Data Analysis Tool: The Real Statistics Resource Pack provides the Scheirer Ray Hare data analysis tool, as demonstrated in the next example.Įxample 1: Repeat Example 1 of Two Factor ANOVA with Replication using the Scheirer Ray Hare data analysis tool (the input data is repeated on the left side of Figure 2). The assumptions are the same as the Kruskal-Wallis test in particular, the interaction groups must be equal-sized and contain at least 5 sample members. The Scheirer Ray Hare Test is the two-factor version of the Kruskal-Wallis test.