代写STAT461、代写Lab 7留学生、代做Java/Python编程语言、代做c/c++设计

日期：2019-03-11 10:31

STAT461 Homework #7

due Monday, 3/11, before midnight

1. In Lab 7

(a) State the null and alternative hypotheses for the test of a variety effect. What are your

conclusions with α = .05?

(b) If the test above is significant, which varieties are significantly different? Use Tukey’s

procedure with α = .05.

(c) Does the (additive) model without the interaction term provide more or less evidence

for a variety effect? for a pesticide effect? Explain why this is.

2. The following values represent the population means μij for a two-way ANOVA model with

a = 3 and b = 4.

8 5 9 10

12 11 7 10

8 3 7 6

(a) Calculate the effects μ··, αi

, and βj for each i and j.

(b) What does this model say about interaction? Explain.

3. In a study of the effect of applicant’s eye contact (Factor A) and personnel officer’s sex

(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 (outstanding success). The data can be found in the file “eye.txt”. Columns

correspond to success rating, eye contact (1=eye contact present and 2=eye contact absent),

and officer’s sex (1=male and 2=female).

(a) Provide an interaction plot for the data. Comment on the evidence for main effects and

interaction.

(b) Fit the two-way ANOVA model with interaction, and include the ANOVA table here.

(c) Test whether or not interaction effects are present. State the hypotheses and conclusion

with α = 0.05.

(d) Test whether or not eye contact and sex main effects are present. In each case, state the

hypotheses and conclusion with α = .05. Is it meaningful here to test for main factor

effects? Hint: consider the interaction