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Educational and Psychological Measurement
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Multivariate and Multigroup {theta}-hat Tests of Differential Response Patterns

Donald C. Ross

New York State Psychiatric Institute

{theta}-hat is a statistic with a range from 0 to 1, which measures the degree to which a designated pattern successfully partitions a matrix of pre-and post-treatment ratings into regions typical of each of two treatments. A value of 1 is obtained when there is complete separation in the predicted direction; 0 is obtained when there is complete separation in the direction that is reverse to that predicted; and 1/2 is obtained when the pattern fails to differentiate between the treatments. In this paper, {theta}-hat is extended to multivariate and multigroup cases. The methods are illustrated with real data.

Educational and Psychological Measurement, Vol. 43, No. 1, 53-61 (1983)
DOI: 10.1177/001316448304300108
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