A balanced experimental design has a sample size of
(a) Calculate pairwise confidence intervals for the factor level means with an overall confidence level of 95%.
(b) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable.
(c) What additional sampling would you recommend to reduce the lengths of the pairwise confidence intervals to no more than 2.0 ?
The analysis of variance table for a
Source, df, SS, MS, F
A, 2, 5.3
B, 3, 9.1
Error, 12, 24.5
Total, 23, 43.7
a. Fill in the missing items in the table.
b. Do the data provide sufficient evidence to indicate that factors A and B interact? Test using
c. Do the data provide sufficient evidence to indicate that factors A and B affect the response variable x? Explain.