The authors used a more advanced statistical method than is covered by this course, however, you can apply what you know about hypotheses and statistical tests to understand their approach. Present hypotheses and conduct the appropriate statistical test to assess if the intervention and control groups differed in their Trail Making Test B results at follow-up (see Table 2). Comment on whether the conditions were met for using the selected test, include the StatCrunch output, and interpret your results in context.
Table 2: Self-reported and measured heights of UIC Students |
||
ID |
Self-Reported |
Measured |
1. |
68 |
67.9 |
2. |
71 |
69.9 |
3. |
63 |
64.9 |
4. |
70 |
68.3 |
5. |
71 |
70.3 |
6. |
60 |
60.6 |
7. |
65 |
64.5 |
8. |
64 |
67.0 |
9. |
54 |
55.6 |
10. |
63 |
74.2 |
11. |
66 |
65.0 |
12. |
72 |
70.8 |
13. |
66 |
64.8 |
14. |
68 |
67.6 |
15. |
64 |
62.1 |
16. |
56 |
56.8 |
17. |
57 |
57.3 |
18. |
58 |
59 |
19. |
54 |
54 |
20. |
53 |
52.2 |
21. |
52 |
51 |
22. |
61 |
61.4 |
23. |
62 |
63 |
24. |
62 |
61.2 |
25. |
60 |
59.4 |
26. |
59 |
57.5 |
27. |
58 |
59 |
28. |
57 |
57.3 |
29. |
53 |
51.8 |
30. |
57 |
56.5 |
31. |
66 |
64 |
32. |
72 |
70.8 |
33. |
66 |
64 |
34. |
68 |
67 |
35. |
64 |
62 |
36. |
56 |
56.8 |
37. |
57 |
55 |
38. |
58 |
59 |
39. |
54 |
54 |
40. |
53 |
52.2 |
we use t-test (paired)
t-Test: Paired Two Sample for Means | ||
Self-Reported | Measured | |
Mean | 61.45 | 61.3925 |
Variance | 35.43333333 | 36.85096795 |
Observations | 40 | 40 |
Pearson Correlation | 0.934691299 | |
Hypothesized Mean Difference | 0 | |
df | 39 | |
t Stat | 0.167145011 | |
P(T<=t) one-tail | 0.434059806 | |
t Critical one-tail | 1.684875122 | |
P(T<=t) two-tail | 0.868119612 | |
t Critical two-tail | 2.02269092 |
p-value for 2-tailed = 0.8681
p-value > 0.05 (alpha)
we fail to reject the null hypothesis
there is not significant evidence that intervention and control groups differed in their Trail Making Test B
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