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. (Round your answers to two decimal places.)
First Score | 75 | 87 | 60 | 75 | 98 | 80 | 68 | 84 | 47 | 72 |
Second Score | 71 | 91 | 51 | 76 | 93 | 77 | 71 | 79 | 54 | 69 |
(a) Find r.
(b) Set a 95% confidence interval for ρ.
lower limit | |
upper limit |
The statistical software output for this problem is :
(a)
r = 0.94
(b)
Lower limit = 0.62
Upper limit = 1.16
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