10.70 Suppose an experiment utilizing a randomized block design has four treatme
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Question
10.70 Suppose an experiment utilizing a randomized block design has four treatments and nine blocks, for a total of 4 x 9 = 36 observations. Assume that the total sum of squares for the response is SS (Total) = 500, For each of the following partitions of SS(Total), test the null hypothesis that the treat- ment means are equal and the null hypothesis that the block means are equal (use = .05 for each test): a. The sum of squares for treatments (SST) is 20% of SS(Total), and the sum of squares for blocks (SSB) is 30% of SS(Total). b. SST is 50% of SS(Total), and SSB is 20% of SS(Total). c. SST is 20% of SS(Total), and SSB is 50% of SS(Total). d, SST is 40% of SS(Total), and SSB is 40% of SS(Total). e. SST is 20% of SS(Total), and SSB is 20% of SS(Total).Explanation / Answer
10.70 Suppose an experiment utilizing a randomized block design has four treatments and nine blocks, for a total of 4 x 9 = 36 observations. Assume that the total sum of squares for the response is SS (Total) = 500, For each of the following partitions of SS(Total), test the null hypothesis that the treat- ment means are equal and the null hypothesis that the block means are equal (use = .05 for each test): a. The sum of squares for treatments (SST) is 20% of SS(Total), and the sum of squares for blocks (SSB) is 30% of SS(Total). b. SST is 50% of SS(Total), and SSB is 20% of SS(Total). c. SST is 20% of SS(Total), and SSB is 50% of SS(Total). d, SST is 40% of SS(Total), and SSB is 40% of SS(Total). e. SST is 20% of SS(Total), and SSB is 20% of SS(Total).
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