Each patient is received a treatment and researcher conducted a survey to measure certain metrics. The survey with the same questions and measurement methods is conducted to the same patients before treatment, 1 month after treatment, 3 months after, 6 months after, 1 year after, 2 year after.
- Want to test if patient's metrics change before and after treatment;
- Till which time point could we observe significant changes in patients' metrics? (for example, we can conclude that after 1 months of treatment, there is no significant change, however, the change tends to become significant after one year of receiving the treatment.)
Which ANOVA test is appropriate to answer the above questions? If I want to break down the patient by gender and age and answer the above questions, what change in terms of ANOVA test?
Some sample data is provided. There is missing data in metrics and unbalance in gender group.
PatientID Treatment Gender Age metrics0 metrics1 metrics2 metrics3 metrics4
1 a F 57 91 89 98 101 103
2 a M 38 81 69 88 94 97
3 a M 27 100 76 79 92 98
4 a M 51 116 107 0 110 112
5 a F 58 106 83 104 108 111
6 a M 66 78 70 90 123 108
7 a M 54 61 59 64 65
8 a M 32 88 85 101 120 122
9 a F 76 103 98 104 110 118
10 a M 33 80 66 75 85 115
11 a F 48 105 91 99 119
12 a M 46 90 80 93 105 103
13 a F 34 110 102 113 117 0
14 a M 45 98 91 97 109 118
15 a F 39 121 112 106 132 145
16 a M 65 99 90 107 113
17 a M 30 86 69 83 98 101
18 a M 37 94 82 81 146 126
19 a F 43 91 81 0 90 117
20 a M 54 144 116 117 140 130
21 a F 49 98 109 115 136 152
22 a M 20 94 84 103 123 0
23 a M 31 99 89 84 99 114
24 a M 54 127 128 121 147
25 a F 49 93 97 114
26 a M 29 132 102 104 114 118
27 a F 50 112 84 94 111
28 a M 52 66 55 73 88 86
29 a M 53 114 113 117 111 105
30 a M 27 73 73 0 105 94
31 a F 33 125 106 114 126 111
32 a M 49 117 99 107 119 124
