Question: An experiment employing a randomized block design 0 was conducted to compare the mean responses for four 109087 treatments-A, B, C. and D. The treatments

An experiment employing a randomized block design 0 was conducted to compare the mean responses for four 109087 treatments-A, B, C. and D. The treatments were randomly assigned to the four experimental units in each of five blocks. The data are shown in the following table.

a. Given that SS(Total) = 22.31 and SS(Block) = 10.688 and SSE = .288, complete an ANOVA table for the experiment.
b. Do the data provide sufficient evidence to indicate a difference among treatment means? Test using Î± = .05.
c. Does the result of the test in part b warrant further comparison of the treatment means? If so, how many pair wise comparisons need to be made?
d. Is there evidence that the block means differ? Use Î± = .05.

Block Treatment 8.6 75 8.7 73 6.373 84 63 ,1 8.3 9.0 9.3 8.2 9.2 10.0 8.4 4 9.8 74 9.9 82

Step by Step Solution

★★★★★

3.43 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a SST SS Tot SS Block SSE 2231 10688 288 11334 MST SSTk 1 113344 1 3778 df k 1 4 1 3 MSBlock SSBlock... 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)

766-M-S-V-A (2426).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 marketing organization wishes to study the effects of four sales methods on weekly sales of a product. The organization employs a randomized block design in which three salesman use each sales...

An economist wants to compare the average monthly number of rotary oil rigs running in three states: California, Utah, and Alaska. In order to account for month-to-month variation, three months were...

please answer the below questions:- Verify that (Q,/1)(Q,/(N - k)) as defined in Sec. 13.4 can be expressed as SS IMS where SS, = E as claimed.Let Y , Yo., You and Yo denote the sample means based on...

Please help me:- Verify that (Q,/1)(Q,/(N - k)) as defined in Sec. 13.4 can be expressed as SS IMS where SS, = E as claimed.Let Y , Yo., You and Yo denote the sample means based on independent...

thanks experts:- Verify that (Q,/1)(Q,/(N - k)) as defined in Sec. 13.4 can be expressed as SS IMS where SS, = E as claimed.Let Y , Yo., You and Yo denote the sample means based on independent...

stat and prob:- Verify that (Q,/1)(Q,/(N - k)) as defined in Sec. 13.4 can be expressed as SS IMS where SS, = E as claimed.Let Y , Yo., You and Yo denote the sample means based on independent samples...

Statitics & Probability:- A quality control engineer conducted an experiment to investigate the effect of experience on an assembly line in terms of the average time required to complete an assembly...

An experiment utilizing a randomized block design was conducted to compare the mean responses for four treatments, A, B, C, and D. The treatments were randomly assigned to the four experimental units...

105 An experiment utilizing a randomized block design was conducted to compare the mean responses for four treatments, A, B, C, and D. The treatments were randomly assigned to the four experimental...

1. Clean a porcelain crucible and cover. Set the crucible on a triangle and ring clamped to a ring stand over a Bunsen burner. (CAUTION: Crucibles are fragile and crack when exposed to sudden changes...

One kilogram of air is compressed in a cylinder for each of the quasi-equilibrium processes listed in the following table. Fill in the missing quantities for the selected process. Process P. (kPa)...

Exercise 9 - 1 9 ( Algorithmic ) ( LO . 5 ) Jayda, who is self - employed, maintains an office in her home that comprises \ ( 3 0 \ % \ ) ( 4 0 0 square feet ) of total floor space. Gross income for...

A researcher tests the effectiveness of a new drug treatment by randomly assigning participants to a group that receives the drug treatment or to a control group where a placebo (i.e., fake) drug is...

Dolomite is a valuable mineral that is found in sedimentary rock. During mining operations, dolomite is often confused with shale. The radioactivity features of rock can aid miners in distinguishing...

An important component of your desktop or laptop personal computer (PC) is a microchip. The table gives the proportions of microchips that a certain PC manufacturer purchases from seven suppliers. a....

Recall that if there is an intruder, system A sounds an alarm with probability .9, and system B sounds an alarm with probability .95. If there is no intruder, system A sounds an alarm with...

Suppose you borrow $10,000 from your parents to buy a car. You agree to pay $207.58 per month for 60 months. What is the monthly interest rate? You want to have $41,000 in your savings account 6...

Problem 4-15 Return on Equity Central City Construction (CCC) needs $1 million of assets to get started, and it expects to have a basic earning power ratio of 15%. CCC will own no securities, so all...

Ida Sidha Karya Company is a family-owned company located on the island of Bali in Indonesia. The company produces a handcrafted Balinese musical instrument called a gamelan that is similar to a...