A comparison of chi-squared statistics for testing homogeneity of survey data:High School and Beyond survey

References

• Bedrick , E. J. 1983 . Adjusted goodness-of-fit tests for survey data . Biometrika , 70 : 591 – 595 .
   Google Scholar
• Birch , M. W. 1964 . A new proof of the Pearson-Fisher Theorem . Annals of Mathematical Statistics , 35 : 817 – 824 .
   Google Scholar
• Brier, S. S. (1978) Categorical Data Models for Complex Sampling Schemes, unpublished Ph.D Dissertation (School of Statistics, University of Minnesota).
   Google Scholar
• Brier , S. S. 1980 . Analysis of contingency tables under cluster sampling . Biometrika , 67 : 591 – 596 .
   Web of Science ®Google Scholar
• Cox , C. 1984 . An elementary introduction to maximum likelihood estimation for multinomial models: Birch's Theorem and the delta method . American Statistician , 38 : 283 – 287 .
   Web of Science ®Google Scholar
• Good , I. J. 1965 . Estimation of Probabilities , Cambridge, MA : Massachusetts Institute of Technology Press .
   Google Scholar
• Holt , D. , Scott , A. J. and Ewings , P. O. 1980 . Chi-square tests with survey data . J. Royal Statistical Society A , 143 : 302 – 320 .
   Google Scholar
• Koch , G. G. , Freeman , D. H. Jr. and Freeman , J. L. 1975 . Strategies in the multivariate analysis of data from complex surveys . International Statistical Reviews , 43 : 59 – 78 .
   Web of Science ®Google Scholar
• Koehler , J. K. and Wilson , J. R. 1986 . Chi-square tests for comparing vectors of proportions for several cluster samples . Communication in Statistics , 15 ( 10 ) : 2977 – 2990 . Theory and Methods
   Google Scholar
• Moore , D. S. 1977 . Generalized inverses, Wald's method, and the construction of chi-squared tests of fit . Journal of the American Statistical Association , 72 : 131 – 137 .
   Web of Science ®Google Scholar
• Mosimann , J. E. 1962 . On the compound multinomial distribution, the multivariate ß-distribution, and correlation among proportions . Biometrika , 49 : 65 – 82 .
   Web of Science ®Google Scholar
• National Center for Educational Statistics . 1985 . High School and Beyond, 1980: Sophomore Cohort Second Follow-up , Ann Arbor, MI : Inter-University Consortium for Political and Social Research .
   Google Scholar
• Rao , J. N. K. and Scott , A. J. 1979 . Chi-square tests for analysis of categorical data from complex surveys. Proc. Sec. Survey Res. Methods , 58 – 66 . American Statistical Association .
   Google Scholar
• Rao , J. N. K. and Scott , A. J. 1981 . The analysis of categorical data from complex surveys . Journal of the American Statistical Association , 76 : 221 – 230 .
   Web of Science ®Google Scholar
• Scott , A. J. and Rao , J. N. K. 1981 . Chi-squared tests for contingency tables with proportions estimated from survey data. In Current Topics in Survey Sampling , Edited by: Krewski , Platek and Rao . New York : Academic Press .
   Google Scholar
• Thomas , D. and Rao , J. N. K. 1984 . “ A Monte Carlo study for exact levels for chi-squared goodness-of-fit statistics under cluster sampling ” . In Technical Report Series , Ottawa : Carleton University .
   Google Scholar
• Thomas , D. and Rao , J. N. K. 1987 . Small-sample comparisons of level and power for simple goodness-of-fit statistics under cluster sampling . Journal of the American Statistical Association , 82 : 630 – 636 .
   Web of Science ®Google Scholar
• Wald , A. 1943 . Test of statistical hypotheses concerning several parameters when the number of observations is large . Transactions of the American Mathematical Society , 54 : 426 – 482 .
   Google Scholar
• Wilson, J. R. (1984) Statistical Methods for Frequency Data from Complex Sampling Schemes, Ph.D. Dissertation (Department of Statistics, Iowa State University).
   Google Scholar
• Wilson , J. R. 1986a . Approximated distribution and test-of-fit for the clustering effect in the Dirichlet multinomial model, Communications in Statistics . Theory and Methods , A15 ( 4 ) : 1235 – 1249 .
   Google Scholar
• Wilson , J. R. 1986b . “ A simulated comparison of chi-squared tests for comparing vectors of proportions for several cluster samples, Proc. Sec. Survey Research Methods ” . American Statistical Association .
   Google Scholar
• Wilson , J. R. 1989 . Chi-square tests for overdispersion in the presence of extravariation with multiparameter estimates . Applied Statistics , 3 ( 38 ) : 441 – 454 .
   Google Scholar