A tea company appoints four sales men A, B, C, and D and observes their sales in three months, April, May and June. Months Salesmen A C April 36 36 21 35 May 28 29 31 32 June 26 28 29 29 For the two way analysis of variance model with one observation per cell, we write the observation from the ith group and ith block as Yij = µ + Bi + T; + Eij (a) Explain each term in the above model in the context of the given information (b) Consider the observation on agent B and house 1 (Y21 = 28) i. Estimate u i. Estimate and interpret B2 iI. Estimate and interpret t iv. Estimate ɛ21 (c) Name the blocking variable and the treatment in the experiment (d) What is the purpose of the blocks in this experiment? (e) Prepare a two-way analysis of variance table. (f) Test at the 5% level of significance the null hypothesis that there is significant difference in sales made by the four salesmen. (g) Test at the 5% level of significance the null hypothesis that there is a significant difference in the sales made during different months.

A tea company appoints four sales men A, B, C, and D and observes their sales in three months, April, May and June. Months Salesmen A C April 36 36 21 35 May 28 29 31 32 June 26 28 29 29 For the two way analysis of variance model with one observation per cell, we write the observation from the ith group and ith block as Yij = µ + Bi + T; + Eij (a) Explain each term in the above model in the context of the given information (b) Consider the observation on agent B and house 1 (Y21 = 28) i. Estimate u i. Estimate and interpret B2 iI. Estimate and interpret t iv. Estimate ɛ21 (c) Name the blocking variable and the treatment in the experiment (d) What is the purpose of the blocks in this experiment? (e) Prepare a two-way analysis of variance table. (f) Test at the 5% level of significance the null hypothesis that there is significant difference in sales made by the four salesmen. (g) Test at the 5% level of significance the null hypothesis that there is a significant difference in the sales made during different months.

Name: A tea company appoints four sales men A, B, C, and D and observes the
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Description: A tea company appoints four sales men A, B, C, and D and observes their sales in threemonths, April, May and June.MonthsSalesmenACApril36362135May28293132June26282929For the two way analysis of variance model with one observation per cell, we write

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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