Guilford's average interrater correlation coefficient is shown to be related to the Friedman Rank Sum statistic. Under the null hypothesis of zero correlation the resultant distribution is known and the hypothesis can be tested. Large sample and tied score cases are also considered. An example from Guilford (1954) is presented.
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References
1.
Guilford, J. P.Psychometric methods (2nd. edition). New York: McGraw-Hill, 1954.
2.
Hollander, M. and Wolfe, D. A.Nonparametric statistical methods. New York: John Wiley and Sons, Inc., 1973.