# Need statistics help with Part #4 of a homework

Anonymous

Question description

#27

Refer 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. 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```

#28

Search 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.

#29

A 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
Males 8.68 8.35 7.65
Females 9.11 9.36 8.04

Describe the main effects and interaction.

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