Multinomial Runs Tests to Detect Clustering in Constrained Free Recall

Gail Rubin, Charles E. McCulloch, Michael A. Shapiro · Journal of the American Statistical Association · 1990

Psychologists often want to detect category structure in subjects' free recall protocols. Although runs tests based on the binomial distribution are commonly used to detect nonrandomness within a sequence, many research situations require tests based on the multinomial distribution. We propose a test of randomness versus clustering based on the number of runs in multinomial data. We illustrate its use with data from a mass communication experiment using a constrained free recall procedure.

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