Small-Sample Comparisons of Level and Power for Simple Goodness-of-Fit Statistics under Cluster Sampling

References

• Anderson , T. W. 1963 . “Asymptotic Theory for Principal Components Analysis” . Annals of Mathematical Statistics , 34 : 122 – 148 .
   Google Scholar
• Bedrick , E. J. 1983 . “Adjusted Chi-Square Tests for Cross-Classified Tables of Survey Data” . Biometrika , 70 : 591 – 595 .
   Web of Science ®Google Scholar
• Brier , S. S. 1978 . Categorical Data Models for Complex Data Structures , University of Minnesota, School of Statistics . unpublished Ph.D. thesis
   Google Scholar
• Brier , S. S. 1980 . “Analysis of Contingency Tables Under Cluster Sampling” . Biometrika , 67 : 591 – 596 .
   Web of Science ®Google Scholar
• Cohen , J. 1977 . Statistical Power Analysis for the Behavioural Sciences , New York : Academic Press .
   Google Scholar
• Fay , R. E. “On Adjusting the Pearson Chi-Square Statistic for Cluster Sampling” . Proceedings of the Social Statistics Section . pp. 665 – 670 . American Statistical Association .
   Google Scholar
• Fay , R. E. 1983 . “CPLX-Contingency Table Analysis for Complex Sample Designs, Program Documentation” , U.S. Bureau of the Census . unpublished report
   Google Scholar
• Fay , R. E. 1984 . “Replication Approaches to the Log-Linear Analysis of Data From Complex Surveys” . In Recent Developments in the Analysis of Large-Scale Data Sets , 95 – 118 . Luxembourg : Eurostat News .
   Google Scholar
• Fay , R. E. 1985 . “A Jackknifed Chi-Squared Test for Complex Samples” . Journal of the American Statistical Association , 80 : 148 – 157 .
   Web of Science ®Google Scholar
• Fellegi , I. P. 1980 . “Approximate Tests of Independence and Goodness of Fit Based on Stratified Multistage Samples” . Journal of the American Statistical Association , 75 : 261 – 268 .
   Web of Science ®Google Scholar
• Hidiroglou , M. A. , Fuller , W. A. and Hickman , R. D. 1980 . “MINI CARP: A Program for Stratified Samples and Cluster Samples” , Iowa State University, Survey Section .
   Google Scholar
• International Mathematical and Statistical Libraries, Inc. (IMSL) . 1950 . IMSL Library, , 8th ed. , Houston , TX : Author .
   Google Scholar
• Kiang-Khang , P. 1984 . The Effect of Two-Stage Sampling on Non-Parametric Tests , New Zealand : University of Auckland . unpublished Ph.D. thesis
   Google Scholar
• Kish , L. , Groves , R. M. and Krotki , K. P. 1976 . “Sampling Errors for Fertility Survey” , London : World Fertility Survey . Occasional Paper No. 17
   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 Review , 43 : 59 – 78 .
   Web of Science ®Google Scholar
• Larntz , K. 1978 . “Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit Statistics” . Journal of the American Statistical Association , 76 : 221 – 230 .
   Google Scholar
• Numerical Algorithms Group (NAG) . 1983 . The NAG FORTRAN Mark 10 Library , Oxford , , U.K. : Author .
   Google Scholar
• Rao , J. N. K. and Scott , A. J. “Chi-Squared Tests for Analysis of Categorical Data From Complex Surveys” . Proceedings of the Section on Survey Research Methods . pp. 58 – 66 . American Statistical Association .
   Google Scholar
• Rao , J. N. K. and Scott , A. J. 1981 . “The Analysis of Categorical Data From Complex Sample Surveys: Chi-Squared Tests for Goodness of Fit and Independence in Two-Way Tables” . Journal of the American Statistical Association , 76 : 221 – 230 .
   Web of Science ®Google Scholar
• Rao , J. N. K. and Scott , A. J. 1984 . “On Chi-Squared Tests for Multiway Contingency Tables With Cell Proportions Estimated From Survey Data” . The Annals of Statistics , 12 : 46 – 60 .
   Web of Science ®Google Scholar
• Read , T. R. C. 1984 . “Small-Sample Comparisons for the Power Divergence Goodness-of-Fit Statistics” . Journal of the American Statistical Association , 79 : 929 – 935 .
   Web of Science ®Google Scholar
• Thomas , D. R. and Rao , J. N. K. 1984 . “A Monte Carlo Study of Exact Levels for Chi-Squared Goodness-of-Fit Statistics Under Cluster Sampling” , Carleton University/University of Ottawa, Laboratory for Research in Statistics and Probability . Technical Report 35
   Google Scholar
• Thomas , D. R. and Rao , J. N. K. 1985 . “On the Power of Some Goodness-of-Fit Tests Under Cluster Sampling” . In Analysis of Categorical Data From Sample Surveys: A Collection of 5 Papers , 57 – 82 . Ottawa , , Canada : Carleton University/University of Ottawa, Laboratory for Research in Statistics and Probability . (Technical Report 66)
   Google Scholar