hw6solution - Statistics 106 Homework 6 Solution Due Feb 17...

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Statistics 106 Homework 6 Solution Due : Feb. 17, 2016, In Class 19.5 In a two-factor study, the treatment means μ i j 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 e ff ects. 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? c. Make a logarithmic transformation of the μ i j and plot the transformed values to explore whether this transformation is helpful in reducing the interactions. What are your findings? Solution:
b. The treatment means plot is shown below: 1
c. The transformed treatment means plot is shown below: 2
19.8 Refer to Problem 19.5. Assume that σ = 4 and n = 6. a. Obtain E { MS E } and E { MS AB } . b. Is E { MS AB } substantially larger than E { MS E } ? What is the implication of this? Solution:
3
19.12 Eye contact e ff ect. In a study of the e ff ect of applicant’s eye contact (factor A ) and personnel o ffi cer’s gender (factor B ) on the personnel o ffi cer’s assessment of likely job success of applicant, 10 male and 10 female personnel o ffi cers 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 (outstanding success). Half of the o ffi cers in each gender group were chosen at random to receive a version of the

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