Simulate and Reject Monte Carlo Exact Conditional Tests for Quasi-independence

作者: Peter W. F. Smith , John W. McDonald

DOI: 10.1007/978-3-642-52463-9_63

关键词: Main diagonalMonte Carlo integrationIndependence (probability theory)Null hypothesisQuasi-Monte Carlo methodContingency tableApplied mathematicsMathematicsHybrid Monte CarloDiagonal

摘要: In a two-way contingency table, the null hypothesis of quasi-independence (QI) usually arises for two main reasons: 1) some cells involve structural zeros or 2) interest is focused on part e.g., off diagonal cells. Consider Table 1, analyzed by Becker (1990), which cross-classifies independent interpretations sputum cytology slides lung cancer. Since tend to agree, most observations lie and independence rejected. The QI cells, i.e., that are given they differ, considered. However, sparseness off-diagonal causes concern about validity using asymptotic tests, an exact conditional test used.

参考文章(8)
Svend Kreiner, Analysis of Multidimensional Contingency Tables by Exact Conditional Tests: Techniques and Strategies Scandinavian Journal of Statistics. ,vol. 14, pp. 97- 112 ,(1987)
Mark P. Becker, Quasisymmetric Models for the Analysis of Square Contingency Tables Journal of the royal statistical society series b-methodological. ,vol. 52, pp. 369- 378 ,(1990) , 10.1111/J.2517-6161.1990.TB01793.X
Peter W. F. Smith, John W. McDonald, Exact conditional tests for incomplete contingency tables: estimating attained significance levels Statistics and Computing. ,vol. 5, pp. 253- 256 ,(1995) , 10.1007/BF00142667
Alan Agresti, Dennis Wackerly, James M. Boyett, Exact conditional tests for cross-classifications: Approximation of attained significance levels Psychometrika. ,vol. 44, pp. 75- 83 ,(1979) , 10.1007/BF02293786
G. N. Papanicolaou, J. R. McDonald, I. Koprowska, B. Naylor, W. O. Umiker, P. G. Archer, A Study of Variability in the Interpretation of Sputum Cytology Slides Cancer Research. ,vol. 26, pp. 2122- 2144 ,(1966)