The question below is asking for a difference of means from 14 other questions based on a question (Q1.) that ranks frequency by day, 2-3 times per week, weekly, 2-3 times per month and once a month or less. The 14 other questions rank 1 like to 5 dislike things such as- is service fast enough, is hot food hot enough, are there enough choices of food, etc.. So, what type of ANOVA test would be appropriate? Do I measure a set of means by each frequency usage category and then make another test to compare the means of the 5 frequency categories?

1.Refer to the Table 1 from the case. Items Q2 through Q14 measures different facets of the quality of the campus dining facility.

a. For each of these quality factors (Q2 to Q14), test if there are differences in mean scores based on the Q1. frequency of visit: daily (1), two or three times per week (2), weekly (3), two or three times per month (4), or once a month or less (5).

Survey	Q1	D2	D3	Q2	Q3	Q4	Q5	Q6	Q7	Q8	Q9	Q10	Q11	Q12	Q13	Q14	Q15	Q16
1	5	2	1	4	3	5	4	5	4	4	5	5	5	5	3	4	4	1
2	4	1	1	4	4	3	4	4	4	4	4	5	5	5	4	5	4	2
3	1	2	2	4	3	3	3	3	3	4	4	5	3	3	3	3	3	1
4	1	2	1	5	4	3	4	4	5	5	5	5	4	5	5	5	5	1
5	1	1	1	3	3	5	3	2	4	3	4	5	4	4	3	3	4	3
6	4	2	4	4	4	3	3	3	3	3	5	3	2	3	3	3	3	4
7	1	2	1	3	2	3	3	3	4	3	3	4	3	4	2	3	4	3
8	4	1	1	3	4	4	3	3	3	3	4	4	3	3	2	2	3	3
9	5	1	1	4	4	4	5	3	4	5	4	4	3	4	4	4	4	3
10	3	2	1	5	4	3	4	5	4	4	4	5	5	4	3	4	4	3
11	5	1	3	2	3	3	2	4	4	2	4	3	3	4	2	2	3	4
12	3	2	1	3	2	3	4	4	4	3	5	3	2	1	3	3	3	5
13	5	1	3	4	5	4	5	4	5	4	4	5	4	4	3	3	4	3
14	1	2	1	1	1	1	1	2	1	3	3	4	2	1	2	2	1	5
15	5	1	4	3	4	5	3	2	4	4	5	5	5	4	3	2	5	3
16	1	1	2	2	3	3	2	2	4	2	4	4	3	3	3	2	2	4
17	4	1	4	2	3	2	2	4	3	2	4	4	4	4	1	2	3	2
18	5	1	3	4	5	4	3	3	4	5	5	5	5	3	2	1	3	3
19	3	1	1	4	5	2	4	3	4	4	5	5	4	4	2	3	4	3
20	1	1	4	3	3	3	3	4	1	2	2	4	4	3	2	1	1	3
21	1	1	3	4	4	4	4	2	4	4	5	4	3	1	4	3	3	4
22	1	2	2	2	2	2	1	2	1	2	2	2	1	2	2	2	2	4
23	1	1	2	3	4	4	4	4	3	2	3	3	4	2	5	3	3	4
24	5	1	2	2	1	1	2	2	3	2	4	4	4	3	2	2	2	3
25	2	1	3	4	4	5	3	3	5	4	5	2	2	1	1	2	3	3
26	5	1	2	4	3	2	3	3	3	2	5	4	3	2	1	3	3	4
27	2	1	2	4	3	3	4	1	5	3	5	3	1	3	2	2	3	4
28	1	1	2	1	1	1	3	1	2	2	5	2	1	5	2	3	1	1
29	1	1	2	3	2	1	2	1	5	3	5	3	3	4	1	2	2	5
30	3	1	4	4	4	3	4	4	5	3	5	5	4	4	3	4	4	3
31	5	2	4	3	2	2	3	3	4	3	4	4	4	3	1	3	3	2
32	3	1	4	3	1	2	4	3	4	4	4	4	3	1	4	2	3	3
33	2	1	4	3	2	4	4	3	3	3	4	4	4	5	3	5	4	3
34	3	1	4	4	3	4	5	4	5	5	5	5	4	4	3	4	4	3
35	1	1	3	4	4	3	4	5	2	4	3	3	1	1	4	4	4	3
36	1	2	3	3	5	5	5	3	5	5	5	5	3	1	2	3	4	3
37	1	1	2	5	3	4	4	3	4	4	5	5	3	1	3	3	4	3
38	2	1	2	3	2	3	2	4	3	3	4	5	4	4	4	3	3	2
39	1	1	3	3	4	2	2	4	2	3	4	5	3	3	1	2	3	3
40	3	1	4	3	1	1	5	4	5	4	5	5	4	1	2	2	2	5
41	1	2	2	3	3	4	4	3	5	3	3	3	3	2	3	3	3	3
42	5	1	2	4	3	2	2	3	3	2	4	4	4	3	3	4	3	2
43	1	1	4	4	3	3	4	4	4	3	3	4	2	4	5	5	4	3
44	1	1	3	3	3	5	3	5	5	4	5	4	4	2	5	4	4	3
45	1	1	4	3	1	3	3	2	2	2	5	5	3	3	4	3	3	3
46	2	1	4	3	4	3	4	2	2	2	4	5	5	5	3	2	2	4
47	2	1	3	3	2	2	3	2	3	4	3	5	3	4	1	3	3	3
48	3	2	2	4	3	5	5	4	3	5	4	5	5	5	3	5	4	3
49	5	1	3	4	4	5	4	3	4	4	5	5	5	2	2	3	5	2
50	1	2	4	3	4	4	3	5	3	3	4	5	3	3	4	4	4	3
51	2	1	1	4	4	5	4	3	5	3	5	5	5	4	1	3	4	3
52	2	2	4	4	5	5	4	4	5	5	4	5	5	5	5	5	5	2
53	2	1	2	4	2	2	4	4	5	2	5	3	4	2	1	4	3	1
54	5	2	1	3	4	2	3	3	3	3	4	4	3	3	2	3	3	3
55	1	2	1	3	2	2	3	4	5	3	4	5	5	4	3	4	3	3
56	5	1	1	5	5	3	4	5	5	5	5	5	5	1	1	2	3	5
57	5	1	2	4	4	3	3	4	4	4	4	5	5	5	3	3	4	3
58	3	2	3	4	4	4	4	1	4	4	4	4	4	4	1	3	3	1
59	2	1	2	3	2	1	4	2	3	2	3	4	3	3	4	5	4	3
60	1	1	4	2	1	3	3	2	3	3	3	3	3	1	2	2	2	3
61	1	2	2	3	3	2	5	4	5	3	5	5	4	2	3	3	3	3
62	1	1	3	3	1	2	3	4	4	3	5	5	3	2	3	4	2	1
Mean				3.354839	3.080645	3.096774	3.419355	3.209677	3.709677419	3.322581	4.209677	4.225806	3.516129	3.080645	2.693548	3.080645
STD				0.870213	1.191478	1.21074	0.967477	1.073329	1.107161439	0.971296	0.812547	0.894782	1.112403	1.321926	1.167718	1.02906
VAR				0.757271	1.419619	1.465891	0.936013	1.152036	1.225806452	0.943416	0.660233	0.800635	1.237441	1.747488	1.363564	1.058964