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
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-administer

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