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 fat treatment N Mean Std Dev LSD TUKEY SNK DUNCAN WALLER A 5 2.62800000 0.41227418 B A A B B B 5 3.19800000 0.30605555 A A A A A C 5 3.10600000 0.38115614 A A A A BA D 5 2.91600000 0.18942017 BA A A BA BA t Tests (LSD) Alpha 0.05 Error Degrees of Freedom 16 Error Mean Square 0.1112 < From AOV Critical Value of t 2.11991 < From ttable Least Significant Difference 0.4471 < From equation Tukey's Studentized Range (HSD) Test Alpha 0.05 Error Degrees of Freedom 16 Error Mean Square 0.1112 Critical Value of Studentized Range 4.04609 < q From Table 10 Minimum Significant Difference 0.6034 < From Equation StudentNewmanKeuls Test Alpha 0.05 Error Degrees of Freedom 16 Error Mean Square 0.1112 Number of Means 2 3 4 Critical Range 0.447094 0.5441991 0.6033972 < From Equation using q values from Table 10 q=(3.00, 3.65, 4.05) Duncan's Multiple Range Test Alpha 0.05 Error Degrees of Freedom 16 Error Mean Square 0.1112 Number of Means 2 3 4 Critical Range .4471 .4688 .4824 < From Equation using q' values from Duncan's Table q'=(2.998, 3.1435, 3.2347) WallerDuncan Kratio t Test Kratio 100 Error Degrees of Freedom 16 Error Mean Square 0.1112 F Value 2.85 < From AOV Critical Value of t 2.36065 < From Waller Table, k=100 Minimum Significant Difference 0.4979 < From equation Response was not transformed. Contrast DF Contrast SS Mean Square F Value Pr > F l1 1 0.74370667 0.74370667 6.69 0.0199