Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study. Patient 7 minute screen Cognitive series A 3 11 B 8 19 C 10 22 D 8 20 E 4 14 F 7 13 G 4 9 H 5 20 I 14 25 a/b. Compute the Pearson correlation to measure the degree of relationship between the two test scores. Is the correlation statistically significant? Use a two-tailed test with α = .01. For this problem, complete the four stages of hypothesis testing by hand: Identify the two hypotheses Determine the critical region for your decision Compute the test statistic Use the test statistic to make a decision and interpret that decision c. What percentage of variance for the cognitive scores is predicted from the 7-Minute Screen scores?(by hand) (Compute the value of r2.) Also, interpret the value of r2.
- Identifying individuals with a high risk of Alzheimer’s disease usually involves a long series of cognitive tests. However, researchers have developed a 7-Minute Screen, which is a quick and easy way to accomplish the same goal. The question is whether the 7-Minute Screen is as effective as the complete series of tests. To address this question, Ijuin et al. (2008) administered both tests to a group of patients and compared the results. The following data represent results similar to those obtained in the study.
Patient |
7 minute screen |
Cognitive series |
A |
3 |
11 |
B |
8 |
19 |
C |
10 |
22 |
D |
8 |
20 |
E |
4 |
14 |
F |
7 |
13 |
G |
4 |
9 |
H |
5 |
20 |
I |
14 |
25 |
a/b. Compute the Pearson
Identify the two hypotheses
Determine the critical region for your decision
Compute the test statistic
Use the test statistic to make a decision and interpret that decision
c. What percentage of variance for the cognitive scores is predicted from the 7-Minute Screen scores?(by hand) (Compute the value of r2.) Also, interpret the value of r2.
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