STA 6166 UNIT 3 Section 2 Answers
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If you transformed the data prior to the analysis of variance, the multiple comparison procedures should be performed on the transformed data as well.
Only the appropriate statistics, critical values and results are given for each procedure. This analysis was run in SAS. Other packages only provide limited multiple comparison procedures. You can compare these results to those you obtained by hand calculations.
OVERVIEW Means with the same letter are not significantly different Level of ----------attention---------- group N Mean Std Dev LSD* TUKEY SNK DUNCAN WALLER* A 10 22.9000000 13.1271559 A A A A A B 10 19.6000000 10.8545945 A A A A A C 10 21.9000000 13.3287492 A A A A A * Technically, since the overall F-test was not significant, we would never run the Fisher's LSD or the WALLER procedure. t Tests (LSD) Alpha 0.05 Error Degrees of Freedom 27 Error Mean Square 155.9333 Critical Value of t 2.05183 <- From T table. Least Significant Difference 11.458 Tukey's Studentized Range (HSD) Test Alpha 0.05 Error Degrees of Freedom 27 Error Mean Square 155.9333 Critical Value of Studentized Range 3.50643 <- From Table 10 (q) Minimum Significant Difference 13.846 Student-Newman-Keuls Test Alpha 0.05 Error Degrees of Freedom 27 Error Mean Square 155.9333 Number of Means 2 3 Critical Range 11.458488 13.846314 <- By equation using values from Table 10 q=(2.9017, 3.506 Duncan's Multiple Range Test Alpha 0.05 Error Degrees of Freedom 27 Error Mean Square 155.9333 Number of Means 2 3 Critical Range 11.46 12.04 <- By equation using values from Duncan's table q'=(2.90211,3.048997) Waller-Duncan K-ratio t Test Kratio 100 Error Degrees of Freedom 27 Error Mean Square 155.9333 F Value 0.18 <- From AOV Critical Value of t 2.62873 <- From Waller Table Minimum Significant Difference 14.68 No Transformation needed. Contrast DF Contrast SS Mean Square F Value Pr > F l1 1 2.81666667 2.81666667 0.02 0.8941