1. Adjunct professors. A sociologist selected a random sample of 45 adjunct professors who teach in the evening division of a large metropolitan university for a study of special problems associated with teaching in the evening division. The data collected include the amount of payment received by the faculty member for teaching a course during the past semester. The sociologist classified the faculty members by subject matter of course (factor A) and highest degree earned (factor B). The earnings per course in thousand dollar's) follow. Factor 5 highest degree) Factor A = 3 (subject matter) Bachelor's Master's 1-1 Humanities 1-1 12 Doctorate 25 13 1.8 2.1 19 22 i = 2 Social sciences 25 23 2.7 29 3.5 3.3 i - 3 Engineering 24 2.7 25 2.9 28 3.7 3.6 3.9 * = 4 Management 25 2.6 2.7 2.3 28 3.6 a. State the ANOYA model for this case. Also state the equivalent regression model; use I, -1, 0 indicator variables. b. Present the X and matrices for the regression model in part (a), Obtain X c. Plot the estimated treatment means in the format of Figure 23.1. Does it appear that any factor effects are present? Explain. d. What is the reduced regression model for testing for interaction effects? e. Test whether or not interaction effects are present by fitting the full and reduced regression models; use = 0.01. State the hypothesis test, decision rule, and conclusion. What is the P-value and rejection region of the test? 1. State the reduced regression models for testing for subject matter and highest degree main effects, respectively, and conduct each of the tests. Use=0.01 Factor (highest degree) Factor A (subject matter) 1-1 Humanities 1-1 Bachelor's 1.7 1.9 Master's 1.8 2.1 3 Doctorale 25 27 1 - 2 Social screen 2.5 23 29 3.5 2.7 24 1 - 3 Engineering 2.4 2.7 28 2.5 29 3.0 3.6 1 = 4 Management 2.5 26 2.3 28 3.9 3.3 3.4 a State the ANOYA model for this case. Also state the equivalent regression model; use 1, -1. O indicator variables. b. Present the X and matrices for the regression model in part (a). Obtain X c. Plot the estimated treatment means in the format of Figure 23.1. Does it appear that any factor effects are present? Explain. d. What is the reduced regression model for testing for interaction effects? e. Test whether or not interaction effects are present by fitting the full and reduced regression models; use =0.01. State the hypothesis test, decision rule, and conclusion. What is the P-value and rejection region of the test? f. State the reduced regression models for testing for subject matter and highest degree main effects, respectively, and conduct each of the tests. Use = 0.01 cach time and state the hypothesis test, decision rule, and conclusion. What is the P- value of each test'! g. Make all pairwise comparisons between the subject matter means; use the Tukey procedure with a 95 percent family confidence coefficient. NGUR 221 Ferale Children G 201 Change in Crowthote 15H Sevenly M Medely de Bone Devlet 1. Adjunct professors. A sociologist selected a random sample of 45 adjunct professors who teach in the evening division of a large metropolitan university for a study of special problems associated with teaching in the evening division. The data collected include the amount of payment received by the faculty member for teaching a course during the past semester. The sociologist classified the faculty members by subject matter of course (factor A) and highest degree earned (factor B). The earnings per course in thousand dollar's) follow. Factor 5 highest degree) Factor A = 3 (subject matter) Bachelor's Master's 1-1 Humanities 1-1 12 Doctorate 25 13 1.8 2.1 19 22 i = 2 Social sciences 25 23 2.7 29 3.5 3.3 i - 3 Engineering 24 2.7 25 2.9 28 3.7 3.6 3.9 * = 4 Management 25 2.6 2.7 2.3 28 3.6 a. State the ANOYA model for this case. Also state the equivalent regression model; use I, -1, 0 indicator variables. b. Present the X and matrices for the regression model in part (a), Obtain X c. Plot the estimated treatment means in the format of Figure 23.1. Does it appear that any factor effects are present? Explain. d. What is the reduced regression model for testing for interaction effects? e. Test whether or not interaction effects are present by fitting the full and reduced regression models; use = 0.01. State the hypothesis test, decision rule, and conclusion. What is the P-value and rejection region of the test? 1. State the reduced regression models for testing for subject matter and highest degree main effects, respectively, and conduct each of the tests. Use=0.01 Factor (highest degree) Factor A (subject matter) 1-1 Humanities 1-1 Bachelor's 1.7 1.9 Master's 1.8 2.1 3 Doctorale 25 27 1 - 2 Social screen 2.5 23 29 3.5 2.7 24 1 - 3 Engineering 2.4 2.7 28 2.5 29 3.0 3.6 1 = 4 Management 2.5 26 2.3 28 3.9 3.3 3.4 a State the ANOYA model for this case. Also state the equivalent regression model; use 1, -1. O indicator variables. b. Present the X and matrices for the regression model in part (a). Obtain X c. Plot the estimated treatment means in the format of Figure 23.1. Does it appear that any factor effects are present? Explain. d. What is the reduced regression model for testing for interaction effects? e. Test whether or not interaction effects are present by fitting the full and reduced regression models; use =0.01. State the hypothesis test, decision rule, and conclusion. What is the P-value and rejection region of the test? f. State the reduced regression models for testing for subject matter and highest degree main effects, respectively, and conduct each of the tests. Use = 0.01 cach time and state the hypothesis test, decision rule, and conclusion. What is the P- value of each test'! g. Make all pairwise comparisons between the subject matter means; use the Tukey procedure with a 95 percent family confidence coefficient. NGUR 221 Ferale Children G 201 Change in Crowthote 15H Sevenly M Medely de Bone Devlet