Abstract
A Monte Carlo program for sampling 2 by 2 contingency tables from a user-specified population is discussed. Applications include computer-assisted instruction (CAI) of statistics, evaluation of actual vs nominal Type I error rates of the chi-square test of independence when expected frequencies are less than 10, and estimation of the power of the chi-square test.
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Bradley, D. R.,Hotchkiss, C. M.,Dumais, S. T., &Shea, S. L. Computer assisted instruction in the small college.Proceedings of the Seventh Conference on Computers in the Undergraduate Curricula, 1976, 205–213.
Hays, W. L.Statistics. New York: Holt, Rinehart, & Winston, 1963.
Tate, M. W., &Hyer, L. A. Inaccuracy of the test of goodness of fit when expected frequencies are small.Journal of the American Statistical Association, 1973,68, 836–841.
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The computer simulations reported in this paper were conducted on the Dartmouth Time-Sharing System, using the recently installed Honeywell 66/40 duplex computer system. We wish to express our appreciation to Dartmouth College for the excellent service provided by the Kiewit Computation Center. Also, we thank Susan T. Dumais and Lt. Col. T. D. Bradley for their assistance in conducting various phases of this project.
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Bradley, D.R., Cutcomb, S. Monte Carlo simulations and the chi-square test of independence. Behavior Research Methods & Instrumentation 9, 193–201 (1977). https://doi.org/10.3758/BF03214499
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DOI: https://doi.org/10.3758/BF03214499