A single factor experiment is conducted in which the factor is varied over 3 els. are calculated as y1. = 29.75, y2. = 36.75, ỹ3 = 46.25 and the ANOVA table obtained is given below. %3D %3! %3D Source DF ss MS F P 2 450.7 225.3 7.04 0.014 9 288.3 738.9 Factor Error 32.0 Total 11 5.659 R-Sq - 60.99% R-Sq (adj) - 52.328 a) Use Fisher's least significant difference to make comparisons between all pairs of means at experiment- wise error rate a = 0.05. State your conclusions. b) Use Tukey's test to make comparisons between all pairs of means at experiment-wise error rate a = 0.05. State your conclusions.

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A single factor experiment is conducted in which the factor is varied over 3 levels. Treatment averages
are calculated as y1. = 29.75, ỹ2. = 36.75, y3, = 46.25 and the ANOVA table obtained is given below.
%3D
%3!
Source DF S
MS F P
2 450.7 225.3 7.04
32.0
Factor
0.014
9 288.3
738.9
Error
Total
11
5.659
R-Sq - 60.998
R-Sq (adj)
= 52.32%
%3D
a)
Use Fisher's least significant difference to make comparisons between all pairs of means at experiment-
wise error rate a = 0.05. State your conclusions.
b)
Use Tukey's test to make comparisons between all pairs of means at experiment-wise error rate a = 0.05.
State your conclusions.
Transcribed Image Text:A single factor experiment is conducted in which the factor is varied over 3 levels. Treatment averages are calculated as y1. = 29.75, ỹ2. = 36.75, y3, = 46.25 and the ANOVA table obtained is given below. %3D %3! Source DF S MS F P 2 450.7 225.3 7.04 32.0 Factor 0.014 9 288.3 738.9 Error Total 11 5.659 R-Sq - 60.998 R-Sq (adj) = 52.32% %3D a) Use Fisher's least significant difference to make comparisons between all pairs of means at experiment- wise error rate a = 0.05. State your conclusions. b) Use Tukey's test to make comparisons between all pairs of means at experiment-wise error rate a = 0.05. State your conclusions.
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