Question description
#27Refer to the data given for the change-of-majors study in the data file MAJORS. Consider gender and whether students changed majors as the two factors. Analyze the data for GPA, the college grade point average. Your analysis should include a table of sample sizes, means, and standard deviations; Normal quantile plots; a plot of the means; and a two-way ANOVA using sex and major as the factors. Homework help – Write a short summary of your conclusions.obs sex maj satm satv hsm hss hse gpa
1 1 1 640 530 8 6 8 2.35
2 1 1 670 600 9 10 7 2.08
3 1 1 600 400 8 8 7 3.21
4 1 1 570 480 7 7 6 2.34
5 1 1 510 530 6 8 8 1.4
6 1 1 750 610 10 9 9 1.43
7 1 1 650 460 8 9 6 2.48
8 1 1 720 630 10 10 9 3.73
9 1 1 760 500 10 10 9 3.8
10 1 1 640 670 9 6 5 2
11 1 1 640 490 10 9 8 3.16
12 1 1 520 360 9 8 7 2.73
13 1 1 700 520 7 8 6 1.07
14 1 1 490 550 6 8 6 1.82
15 1 1 640 520 10 10 7 3.12
16 1 1 550 290 9 7 4 2.25
17 1 1 600 520 10 10 10 2.93
18 1 1 710 530 10 9 9 2.83
19 1 1 750 670 9 10 9 3.1
20 1 1 620 480 9 9 9 2.87
21 1 1 630 440 10 10 9 3.61
22 1 1 770 720 10 7 5 2.75
23 1 1 610 560 10 10 9 3.26
24 1 1 640 570 10 10 10 3.67
25 1 1 650 480 10 10 9 3.3
26 1 1 660 630 10 10 8 3.62
27 1 1 570 480 7 8 8 2.55
28 1 1 690 550 9 7 8 3.25
29 1 1 670 500 7 7 8 2.21
30 1 1 660 460 10 9 9 2.5
31 1 1 600 630 8 8 7 3.03
32 1 1 447 320 9 10 8 1.92
33 1 1 580 470 6 8 6 2.7
34 1 1 630 630 9 7 8 2.96
35 1 1 600 560 10 10 10 2.76
36 1 1 550 560 9 10 9 3.4
37 1 1 630 500 8 8 7 2.48
38 1 1 750 760 10 10 10 3.86
39 1 1 491 391 9 8 7 2.62
40 1 2 550 500 7 8 7 3.72
41 1 2 550 500 7 8 7 3.72
42 1 2 630 500 8 7 8 3.5
43 1 2 630 500 8 7 8 3.5
44 1 2 630 500 8 7 8 3.5
45 1 2 690 440 6 7 7 2.83
46 1 2 690 440 6 7 7 2.83
47 1 2 540 400 8 6 5 3.06
48 1 2 540 400 8 6 5 3.06
49 1 2 640 480 9 10 10 4
50 1 2 640 480 9 10 10 4
51 1 2 520 410 8 10 8 3.7
52 1 2 520 410 8 10 8 3.7
53 1 2 559 488 9 7 4 2.81
54 1 2 559 488 9 7 4 2.81
55 1 2 590 510 8 6 8 1.93
56 1 2 590 510 8 6 8 1.93
57 1 2 590 510 8 6 8 1.93
58 1 2 580 580 10 10 10 3.7
59 1 2 580 580 10 10 10 3.7
60 1 2 670 440 9 7 6 2.96
61 1 2 670 440 9 7 6 2.96
62 1 2 620 590 9 9 8 2.64
63 1 2 620 590 9 9 8 2.64
64 1 2 620 590 9 9 8 2.64
65 1 2 540 470 10 10 8 3.09
66 1 2 540 470 10 10 8 3.09
67 1 2 620 560 4 3 4 3
68 1 2 620 560 4 3 4 3
69 1 2 620 560 4 3 4 3
70 1 2 770 540 10 10 10 2.97
71 1 2 770 540 10 10 10 2.97
72 1 2 620 570 10 10 10 2.81
73 1 2 620 570 10 10 10 2.81
74 1 2 620 570 10 10 10 2.81
75 1 2 660 560 10 9 10 3.32
76 1 2 660 560 10 9 10 3.32
77 1 2 710 500 7 8 4 3.4
78 1 2 710 500 7 8 4 3.4
79 1 3 610 390 9 6 6 1.84
80 1 3 560 690 6 6 7 0.4
81 1 3 690 460 9 7 6 2.88
82 1 3 590 440 6 5 9 2.77
83 1 3 530 560 7 10 10 2.43
84 1 3 640 500 10 10 6 2.63
85 1 3 590 470 8 4 3 1.66
86 1 3 559 545 7 7 8 2.12
87 1 3 490 370 6 7 7 2.46
88 1 3 670 480 8 9 7 1.59
89 1 3 720 610 10 10 7 1.14
90 1 3 640 520 9 7 7 0.65
91 1 3 520 380 7 6 7 2.12
92 1 3 480 410 8 9 7 2.34
93 1 3 480 390 6 9 9 2.11
94 1 3 530 470 6 7 8 1.34
95 1 3 640 630 9 8 9 3.14
96 1 3 690 580 10 10 10 2.25
97 1 3 470 330 6 5 6 2.39
98 1 3 480 460 6 6 6 2.15
99 1 3 540 590 7 6 6 0.75
100 1 3 510 380 5 9 9 3.06
101 1 3 690 490 8 8 8 2.44
102 1 3 590 480 7 7 7 1.11
103 1 3 580 340 10 10 10 3.12
104 1 3 650 500 8 7 8 2.17
105 1 3 530 320 6 5 6 2
106 1 3 620 430 10 6 6 1.88
107 1 3 720 740 10 9 9 2.58
108 1 3 590 440 6 6 6 2.16
109 1 3 630 500 7 10 10 2.5
110 1 3 700 480 10 8 7 1.85
111 1 3 620 400 9 9 8 2.95
112 1 3 586 697 6 5 7 0.91
113 1 3 586 670 9 9 10 2.67
114 1 3 700 500 9 8 7 2.51
115 1 3 550 570 7 7 5 1.79
116 1 3 505 518 6 6 8 2.42
117 1 3 515 285 5 7 7 0.58
118 2 1 570 570 10 10 10 2.76
119 2 1 570 570 10 10 10 2.76
120 2 1 580 540 9 9 9 3.35
121 2 1 580 540 9 9 9 3.35
122 2 1 580 540 9 9 9 3.35
123 2 1 560 530 10 9 8 3.8
124 2 1 560 530 10 9 8 3.8
125 2 1 650 570 9 9 10 2.38
126 2 1 650 570 9 9 10 2.38
127 2 1 440 430 10 10 9 2.58
128 2 1 440 430 10 10 9 2.58
129 2 1 570 750 10 10 10 3.18
130 2 1 570 750 10 10 10 3.18
131 2 1 476 576 8 8 7 2.87
132 2 1 476 576 8 8 7 2.87
133 2 1 680 700 8 9 8 3.16
134 2 1 680 700 8 9 8 3.16
135 2 1 490 480 9 8 9 3.07
136 2 1 490 480 9 8 9 3.07
137 2 1 590 490 10 8 9 3.68
138 2 1 590 490 10 8 9 3.68
139 2 1 590 580 10 9 10 3.34
140 2 1 590 580 10 9 10 3.34
141 2 1 650 490 10 8 8 1.93
142 2 1 650 490 10 8 8 1.93
143 2 1 480 520 9 5 9 2.43
144 2 1 480 520 9 5 9 2.43
145 2 1 670 490 10 10 10 3.28
146 2 1 670 490 10 10 10 3.28
147 2 1 710 600 10 10 10 3.66
148 2 1 710 600 10 10 10 3.66
149 2 1 570 570 7 6 8 2.29
150 2 1 570 570 7 6 8 2.29
151 2 1 540 460 6 5 6 2.19
152 2 1 540 460 6 5 6 2.19
153 2 1 620 510 10 10 10 3.06
154 2 1 620 510 10 10 10 3.06
155 2 1 630 470 8 6 8 3.41
156 2 1 630 470 8 6 8 3.41
157 2 2 630 700 9 9 10 3.14
158 2 2 630 700 9 9 10 3.14
159 2 2 630 700 9 9 10 3.14
160 2 2 630 700 9 9 10 3.14
161 2 2 610 460 10 8 8 2.85
162 2 2 610 460 10 8 8 2.85
163 2 2 610 460 10 8 8 2.85
164 2 2 720 680 10 10 9 3.47
165 2 2 720 680 10 10 9 3.47
166 2 2 720 680 10 10 9 3.47
167 2 2 720 680 10 10 9 3.47
168 2 2 640 590 10 10 9 3.44
169 2 2 640 590 10 10 9 3.44
170 2 2 640 590 10 10 9 3.44
171 2 2 640 590 10 10 9 3.44
172 2 2 650 500 10 10 10 3.9
173 2 2 650 500 10 10 10 3.9
174 2 2 650 500 10 10 10 3.9
175 2 2 650 500 10 10 10 3.9
176 2 2 640 430 9 9 9 3.65
177 2 2 640 430 9 9 9 3.65
178 2 2 640 430 9 9 9 3.65
179 2 2 640 430 9 9 9 3.65
180 2 2 740 460 9 8 9 1.32
181 2 2 740 460 9 8 9 1.32
182 2 2 740 460 9 8 9 1.32
183 2 2 600 660 10 10 10 3.23
184 2 2 600 660 10 10 10 3.23
185 2 2 600 660 10 10 10 3.23
186 2 2 650 430 10 9 10 2.86
187 2 2 650 430 10 9 10 2.86
188 2 2 650 430 10 9 10 2.86
189 2 2 510 440 8 9 10 2.51
190 2 2 510 440 8 9 10 2.51
191 2 2 510 440 8 9 10 2.51
192 2 2 550 510 8 9 8 2.86
193 2 2 550 510 8 9 8 2.86
194 2 2 550 510 8 9 8 2.86
195 2 2 550 510 8 9 8 2.86
196 2 3 630 560 9 7 9 3.33
197 2 3 710 470 10 10 8 3.69
198 2 3 417 518 9 10 10 2.57
199 2 3 600 600 8 10 10 2.28
200 2 3 460 460 4 7 7 1.6
201 2 3 300 290 2 4 6 2
202 2 3 560 480 7 6 7 1.69
203 2 3 590 420 9 10 9 3.06
204 2 3 550 440 9 10 8 2.62
205 2 3 550 660 7 10 9 0.39
206 2 3 650 350 10 9 9 2.44
207 2 3 610 520 9 9 8 3.46
208 2 3 530 480 8 7 9 2.37
209 2 3 550 450 10 9 9 2.8
210 2 3 560 420 5 4 8 2.14
211 2 3 430 330 7 7 8 2.45
212 2 3 490 400 9 7 10 2.71
213 2 3 690 510 9 9 10 2.93
214 2 3 570 480 7 6 9 2.53
215 2 3 470 420 8 6 9 2.69
216 2 3 470 330 8 8 8 1.94
217 2 3 510 360 10 8 9 3
218 2 3 450 460 9 7 8 2.09
219 2 3 490 410 10 9 10 3.34
220 2 3 530 510 6 9 10 2.25
221 2 3 580 490 10 10 10 4
222 2 3 580 490 6 5 7 2.72
223 2 3 620 420 9 7 8 2.61
224 2 3 500 390 10 10 10 3.39
225 2 3 590 580 8 6 8 3.64
226 2 3 620 600 8 7 9 1.8
227 2 3 520 570 9 9 10 1.52
228 2 3 480 480 6 9 9 3.4
229 2 3 640 560 10 9 10 3.32
230 2 3 600 440 9 7 6 2.07
231 2 3 510 480 7 7 9 0.85
232 2 3 356 350 7 9 7 1.86
233 2 3 630 470 5 4 7 2.59
234 2 3 559 488 9 8 9 2.28#28Search the Internet or your library to find a study that is interesting to you and uses a two-way ANOVA to analyze data. First describe the question or questions of interest and then give the details of how ANOVA was used to provide answers. Be sure to include how the study authors examined the assumptions for the analysis. Evaluate how well the authors used ANOVA in this study. If your evaluation finds the analysis deficient, make suggestions for how it could be improved.#29A study of undergraduate computer science students examined changes in major after the first year. The study examined the fates of 256 students who enrolled as first-year students in the same fall semester. The students were classified according to gender and their declared major at the beginning of the second year. For convenience we use the labels CS for computer science majors, EO for engineering and other science majors, and O for other majors. The explanatory variables included several high school grade summaries coded as 10 = A, 9 = A-, etc. Here are the mean high school mathematics grades for these students.Major Gender CS EO O Males 8.68 8.35 7.65 Females 9.11 9.36 8.04 Describe the main effects and interaction.
