The testretest method is one way of establishing the reliabi
The test-retest method is one way of establishing the reliability of a test. The test is administered, and then, at a later date, the same test is re-administered to the same individuals. The correlation coefficient is computed between the two sets of scores. The following test scores were obtained in a test-retest situation. (Give your answers correct to two decimal places.)
(a) Find r.
(b) Set a 95% confidence interval for .
| First Score | 72 | 67 | 91 | 71 | 96 | 69 | 71 | 62 | 77 | 82 |
| Second Score | 68 | 85 | 65 | 57 | 61 | 78 | 89 | 75 | 82 | 61 |
Solution
The value of the correlation coefficient r is calculated in the excel
Now, R = -0.52657
The bounds are set as:
Lower bound =
[ (1+R) - (1-R)e2z / sqrt(n-3) ] / [ (1+R) + (1-R)e2z / sqrt(n-3) ]
= -2.4421
Upper Bound
[ (1+R) - (1-R)e-2z / sqrt(n-3) ] / [ (1+R) + (1-R)e-2z / sqrt(n-3) ]
= 0.15418
Hope this helps. Ask if you have any queries.
| First Score | Second Score | |||
| 72 | 68 | |||
| 67 | 85 | Correlation | -0.52657 | |
| 91 | 65 | |||
| 71 | 57 | |||
| 96 | 61 | |||
| 69 | 78 | |||
| 71 | 89 | |||
| 62 | 75 | |||
| 77 | 82 | |||
| 82 | 61 |
