| Автор | Berry, Kenneth, J. |
| Автор | Mielke, Paul, W. |
| Дата выпуска | 1986 |
| dc.description | A nonasymptotic analysis algorithm based on Pearson's chi-square statistic is presented to investigate r by c contingency tables where small expected cell frequencies render the usual asymptotic analysis inappropriate. Following computation of the exact mean, variance, and skewness of this statistic under the conditional permutation distribution, the Pearson type III distribution yields the P value. A FORTRAN subroutine is provided for analyzing the all too frequently encountered r by c contingency tables involving either highly disproportionate marginal totals or relatively small marginal totals. |
| Издатель | Sage Publications |
| Название | R by C CHI-Square Analyses with Small Expected Cell Frequencies |
| Тип | Journal Article |
| DOI | 10.1177/0013164486461018 |
| Print ISSN | 0013-1644 |
| Журнал | Educational and Psychological Measurement |
| Том | 46 |
| Первая страница | 169 |
| Последняя страница | 173 |
| Аффилиация | Berry, Kenneth, J., Colorado State University, Fort Collins |
| Аффилиация | Mielke, Paul, W., Colorado State University, Fort Collins |
| Выпуск | 1 |
| Библиографическая ссылка | Bartlett, M. S. (1937). Properties of sufficiency and statistical tests. Proceedings of the Royal Society, London, A, 160, 268-282. |
| Библиографическая ссылка | Berry, K. J. and Mielke, P. W. (1985). Subroutines for computing exact chi-square and Fisher's exact probability tests. Educational and Psychological Measurement, 45, 153-159. |
| Библиографическая ссылка | Fisher, R. A. (1922). On the interpretation of x2 from contingency tables, and on the calculation of P. Journal of the Royal Statistical Society, 85, 87-94. |
| Библиографическая ссылка | Haldane, J. B. S. (1940). The mean and variance of X2, when used as a test of homogeneity, when expectations are small. Biometrika, 31, 346-355. |
| Библиографическая ссылка | Harter, H. L. (1969). A new table of percentage points of the Pearson type III distribution. Technometrics, 11, 177-187. |
| Библиографическая ссылка | Marascuilo, L. A. (1971). Statistical methods for behavioral science research. New York: McGraw-Hill. |
| Библиографическая ссылка | Mehta, C. R. and Patel, N. R. (1983). A network algorithm for performing Fisher's exact test in r x c contingency tables. Journal of the American Statistical Association, 78, 427-434. |
| Библиографическая ссылка | Mielke, P. W. and Berry, K. J. (1985). Non-asymptotic inferences based on the chi-square statistic for r by c contingency tables. Journal of Statistical Planning and Inference, 12, 41-45. |
| Библиографическая ссылка | Ostle, B. (1963). Statistics in research (2nd ed.). Ames: The Iowa State University Press. |
| Библиографическая ссылка | Snedecor, G. W. and Cochran, W. G. (1967). Statistical methods, (6th ed.). Ames: The Iowa State University Press. |
