From Problems 1, 2, and 3,
a. to perform the Tukey procedure, how many degrees of freedom are there in the numerator, and how many degrees of freedom are there in the denominator of the Studentized range distribution?
b. at the 0.05 level of significance, what is the upper-tail critical value from the Studentized range distribution?
c. to perform the Tukey procedure, what is the critical range?
Problem 1: Given a randomized block experiment with five groups and seven blocks, answer the following:
a. How many degrees of freedom are there in determining the among-group variation?
b. How many degrees of freedom are there in determining the among-block variation?
c. How many degrees of freedom are there in determining the random variation?
d. How many degrees of freedom are there in determining the total variation?
Problem 2: From Problem 1,
a. if SSA = 60, SSBL = 75, and SST = 210, what is SSE?
b. what are MSA, MSBL, and MSE?
c. what is the value of the FSTAT test statistic for the factor effect?
d. what is the value of the FSTAT test statistic for the block effect?
Problem 3: From Problems 1 and 2,
a. construct the ANOVA summary table and fill in all values in the body of the table.
b. at the 0.05 level of significance, is there evidence of a difference in the group means?
c. at the 0.05 level of significance, is there evidence of a difference due to blocks?
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