DOI QR코드

DOI QR Code

Applications on p-values of Chi-Square Distribution

  • Hong, Chong Sun (Department of Statistics, SungKyunKwan University) ;
  • Hong, Sung Sick (Department of Internet Information Security, Hoseo Computer Technical College)
  • 발행 : 2002.12.01

초록

In this paper, behaviors and properties of p-values for goodness-of-fit test are investigated. With some findings on the p-values, we consider some applications to determine sample size of a survey research using the regression equation based on a pilot study data. Regression equations are obtained by the well-known least squared method, and we find that regression lines could be formulated with only two data points, alternatively. For further studies, this works might be extended to t distributions for testing hypotheses about population mean in order to determine sample size of a prospective study. Also similar arguments could be explored for F test statistics.

키워드

참고문헌

  1. Categorical Data Analysis Agresti, A.
  2. Discrete Multivariate Aanlysis : Theory and Practice Bishop, Y. M. M.;Fienberg, S. E. W.;Holland, P. W.
  3. Log-Linear Models Christensen, R.
  4. Journal Royal Statistical Society v.B46 Multinomial goodness-of-fit tests Cressie, N. A. C.;Read, T. R. C.
  5. $SPSS^x$ Advanced statistics Guide(2nd edition.) Norusis, M. J.
  6. Journal of the Royal Statistical Society v.85 On the interpretation of x² from contingency tables and calculation of P. Fisher, R. A. https://doi.org/10.2307/2340521
  7. Continuous univariate distributions-1 Johnson, N. L.;Kotz, S.
  8. Computational Statistics Park, S. H.;Huh, M. Y.
  9. Proceedings of the National Academy of Sciences v.17 The distribution of chi-square Wilson, E. B.;Hilferty, M. M. https://doi.org/10.1073/pnas.17.12.684