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Consider the partial ANOVA table shown below. Let a = .01 Source of Variation DF

ID: 3352298 • Letter: C

Question

Consider the partial ANOVA table shown below. Let a = .01

Source of Variation

DF

SS

MS

F

Between Treatments

3

180

Within Treatments (Error)

Total

19

380

If all the samples have five observations each:

there are 10 possible pairs of sample means.

the only appropriate comparison test is the Tukey-Kramer.

all of the absolute differences will likely exceed their corresponding critical values.

there is no need for a comparison test – the null hypothesis is not rejected.

Source of Variation

DF

SS

MS

F

Between Treatments

3

180

Within Treatments (Error)

Total

19

380

Explanation / Answer

for (3,16) degree of freedom in numerator and denominator at 0.01 level criical value =5.29

as test statistic is not higher than critical value we can not reject null hypothesis

there is no need for a comparison test – the null hypothesis is not rejected.

Source of Variation DF SS MS F Between Treatments 3 180 60 4.8 Within Treatments (Error) 16 200 12.5 Total 19 380
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