References
- Abramowitz, M., and Stegun, I., 1964. Handbook of Mathematical Functions. Washington: National Bureau of Standards; 1964.
- Chapman, J. W., 1976. A comparison of the X2,-2 log R and multinomial probability criteria for significance tests when expected frequencies are small, J. Amer. Statist. Assoc 71 (1976), pp. 63–854.
- Cochran, W. G., 1952. The x2 test of goodness of fit, Ann. Math. Statist 23 (1952), pp. 45–315.
- Fisher, R. A., 1970. Statistical Methods for Research Workers. Edinburgh: Oliver & Boyd; 1970.
- Fisher, R. A., Thornton, H. G., and Mackenzie, W. A., 1922. The accuracy of the plating method of estimating the density of bacterial populations, Ann. Appl. Biol 9 (1922), pp. 59–325.
- Good, I. J., Gover, T.N., and Mitchell, G. J., 1970. Exact distributions for X and for the likelihood ratio statistic for the equiprobable multinomial distribution, J. Amer. Statist. Assoc 65 (1970), pp. 83–267.
- Haldane, J. B. S., 1937. The exact value of the moments of the distribution of x2, used as a test of goodness of fit, Biometrika 29 (1937), pp. 43–133.
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- Katti, S. K., 1973. Exact distribution for the chi square test in the one way table, Comm. Statist 2 (1973), pp. 47–435.
- Kempthorne, 0., 1966. The classical problem of inference- goodness of fit. Presented at Proc, 5th Berkeley Symp, Math. Statist. Prob.(J, Neyman, Ed.).
- Kendall, M. G., and Stuart, A., 1973. "The Advanced Theory of Statistics". In: Inference and Relationship. Vol. 2. New York: Hafner; 1973.
- Lancaster, H. 0., 1969. The Chi Squared Distribution. New York: John Wiley and Sons, Inc; 1969.
- Larntz, K., 1978. Small-sample comparisons of exact levels for chi-squared goodness-of-fit statistics, J. Amer. Statist. Assoc 73 (1978), pp. 63–253.
- Lehmer, D. H., 1964. "The machine tools of combinatorics". In: Beckenbach, E. F., ed. Applied Combinatorial Mathematics. New York: John Wiley and Sons, Inc; 1964. pp. 5!–31.
- Nass, C. A. G., 1959. The x2 test for small expectations in contingency tables, with special reference to accidents and absenteeism, Biometrika 46 (1959), pp. 85–365.
- Pearson, K., 1900. "On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling". In: Phil. Mag. Vol. 50. 1900. pp. 72–157, Ser. 5.
- Radlow, R., and Alf, E. F., 1975. An alternate multinomial assessment of the accuracy of the x2 test of goodness of fit, J. Amer. Statist. Assoc 70 (1975), pp. 3–811.
- Rao, C. R., and Chakravarti, I. M., 1956. Some small sample tests of significance for a Poisson distribution, Biometrics 12 (1956), pp. 82–264.
- Roscoe, J. T., and Byers, J. A., 1971. An investigation of the restraints with respect to sample size commonly imposed on the use of the chi-square statistic, J. Amer. Statist. Assoc 66 (1971), pp. 9–755.
- Slakter, M. J., 1965. A comparison of the Pearson chi-square and Kolmogorov goodness-of-fit tests with respect to validity, J, Amer. Statist. Assoc 60 (1965), pp. 8–854.
- Tate, M. W., and Hyer, L. A., 1973. Inaccuracy of the X test of goodness of fit when expected frequencies are small, J. Amer. Statist. Assoc 68 (1973), pp. 41–836.
- Vessereau, A., 1958. Sur les conditions d'application du criterium x2 de Pearson, Bull. Inst. Int. Statist 36 (1958), pp. 87–101.
- Wise, M. E., 1963. Multinomial probabilities and the x2 and X2 distributions, Biometrika 50 (1963), pp. 54–145.
- Yarnold, J. K., 1970. The minimum expectation in X goodness of fit tests and the accuracy of approximations for the null distribution, J. Amer. Statist. Assoc 65 (1970), pp. 86–864.
- Yates, F., 1934. Contingency tables involving small numbers and the x2 test, J. R. Statist. Soc. Supp 1 (1934), pp. 35–217.
- Zahn, D. A., and Roberts, G. C., 1971. Exact x2 criterion tables with cell expectations one: an application to Coleman's measure of consensus, J. Amer. Statist. Assoc 66 (1971), pp. 48–145.