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?
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 3,
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: 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?
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