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MeansCompare

# MeansCompare - Experiments with a Single Factor...

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Experiments with a Single Factor Means Comparisons MeansCompare.ppt D.A. Schaub, Univ. of Florida

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Comparing Treatment Means: Tukey’s Test Suppose we wish to compare the  results of our treatments This will show us if there is a statistically  significant difference in the tensile  strength as affected by %Cotton Our hypothesis is j i j i H H μ μ μ μ = : : 1 0
Tukey’s Test n MS y y q E min max - = Tukey’s test uses the distribution of the studentized range For equal sample sizes, 2 means are different if the absolute value of their sample differences exceeds ( 29 n MS f a q T E , α α = See text pp. 97-98

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Tukey’s Test (cont.) Assuming that α =0.05, and knowing that a=5 and df E =20 23 . 4 ) 20 , 5 ( 05 . 0 = q From App. Table VIII 37 . 5 5 06 . 8 23 . 4 ) 20 , 5 ( 05 . 0 05 . 0 = = = n MS q T E
Using Tukey’s Test To use this test (and the ones  following), we need to compare the  average  tensile strength for each setting  of cotton 8 . 10 6 . 21 6 . 17 4 . 15 8 . 9 . 5 . 4 . 3 . 2 . 1 = = = = = y y y y y

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