homework5.pdf - Statistics 106 Summer 2018 Homework 5 Due...

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Statistics 106 Summer 2018 Homework 5 Due date : July 30 (Monday) in class Problem 1: In a two-factor study, the treatment means μ ij are as follows: Factor B Factor A B 1 B 2 B 3 B 4 A 1 250 265 268 269 A 2 288 273 270 269 (a) Obtain the factor B main effects. What do your results imply about factor B? (b) Prepare a treatment means plot and determine whether the two factors interact. How can you tell that interactions are present ? Are the interactions important or unimportant ? Problem 2: Refer to Problem 1. Assume that σ = 4 and n = 6 . (a) Obtain E ( MSE ) and E ( MSAB ) . (b) Is E ( MSAB ) substantially larger than E ( MSE ) ? What is the implication of this from a testing of hypothesis point of view ? Problem 3: Eye contact effect. In a study of the effect of applicant’s eye contact (factor A) and personnel officer’s gender (factor B) on the personnel officer’s assessment of likely job success of applicant, 10 male and 10 female personnel officers were shown a front view photograph of an applicant’s face and were asked to give the person in the photograph a success rating on a scale of 0 (total failure) to 20

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