Question: Suppose an experiment utilizing a randomized block design has four treatments and nine blocks, for a total of 4 x 9 = 36 observations. Assume

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 treatment means are equal and the null hypothesis that the block means are equal (use a = .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).

Step by Step Solution

★★★★★

3.37 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a SST 2500 100 SSB 3500 150 SSE SSTotal SST SSB 500 100 150 250 MST SST k 1 1004 1 333333 MSB SSB b 1 1509 1 1875 MSE SSE n k b 1 250 36 4 9 1 25024 104167 F T MSTMSE 333333104167 320 F B MSBMSE 18751... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

456-M-S-V-A (345).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose an experiment employing a randomized block design has four treatments and nine blocks, for a total of 4 9 = 36 observations. Assume that the Total Sum of Squares for the response is...

A randomized block design has four factor levels with sample averages 1 = 11.43. 2 = 12.03, 3 = 14.88, and 4 = 11.76. There are 9 blocks and SSBI = 53.28.1 Also. SSE = 14.12. Compute the ANOVA table....

A randomized block design has three different income groups as blocks, and members of each block have been randomly assigned to the treatment groups shown here. For these data, use the 0.01 level in...

Suppose an experiment utilizing a randomized block design has four treatments and nine blocks, for a total of 4 * 9 = 36 observations. Assume that the total sum of squares for the response is...

64 Suppose an experiment utilizing a randomized block design has four treatments and nine blocks, for a total of 4 * 9 = 36 observations. Assume that the total sum of squares for the response is...

Assume An Experiment Using Randomized Block Design Has Four Treatments And Nine Blocks, For A Total Of 4 9 = 36 Observations. Assuming The Total Sum Of Squares For The Responses Is SS(Total) = 500...

Please help me solve these 8 questions with solutions. Thank you. Assume an experiment using randomized block design has four treatments and nine blocks, for a total of 4 9 = 36 observations....

Assume an experiment using randomized block design has four treatments and nine blocks, for a total of 4 9 = 36 observations. Assuming the Total Sum of Squares for the responses is SS(Total) = 500...

Question 5 of 20 : Select the best answer for the question. 5. Given the significance level 0.05, the F-value for the degrees of freedom, df = (3,7) is O A. 8.89. O B. 4.12. O C. 6.16. O D. 4.35....

1. Explain in words why a common-pool fishery will have "too many" fishermen. 2. Traffic congestion is a growing problem around the world. A town is trying to understand what to do about the...

Describe the audit implications of the Check Clearing for the 21st Century Act.

annuity involves depositing or investing a single sum of money and allowing it to grow for several years true or false

Develop an Accounting Equation from the following transactions: (ii) Purchased goods for cash (i) Mohan commenced business with cash (ii) Purchased goods on credit (iv) Sold goods (costing 10,000)...

A fishing line is being manufactured by two processes to determine if there is a difference in the mean breaking strength of the lines. 10 pieces by each process are selected and then tested for...

From a mathematics class of 12 equally capable students using programmed materials, 5 are selected at random and given additional instruction by the teacher. The results on the final examination were...

The following data represent the weights, in kilograms, of personal luggage carried on various flights by a member of a baseball team and a member of a basketball team. Use the rank-sum test with ? =...

t6 Suppose that the spot rate on the Euro is $1.35 and the 180-day forward rate is St difference between the spot and forward rates sugsests that a interest rates are higher in the U.S. than in the...

Question Completion Status; 10 points Save Answer Renee is studying the effects of alcohol on attraction in men and women for her psychology class. Following the consumption of alcohol, men and women...

Metro City exercises its power of eminent domain to acquire land for a public project, including part of a public transit rail system and a traffic bypass. Metro City relocates more than 10,000...