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Original Articles

Loglinear Models in Contingency Table Analysis

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Pages 115-122 | Published online: 12 Mar 2012

References

  • Bartlett , M. S. 1935 . “Contingency table interactions,” . J. Roy. Statist. Soc. Supplement , 2 : 248 – 252 .
  • Berkson , J. 1972 . “Minimum discrimination information, the ‘no interaction’ problem, and the logistic function,” . Biometrics 28 , 2 : 443 – 468 .
  • Cornfield , J . “Joint dependence of risk of coronary heart disease on serum cholesterol and systolic blood pressure: a discriminant function analysis,” . Federation Proceedings . pp. 58 – 61 . No. 4, Part II, July-Aug. 1962, Supplement No. 11
  • Darroch , J. N. and Ratcliff , D. 1972 . “Generalized iterative scaling and maximum likelihood,” . Ann. Math. Statist. , 43 : 1470 – 1480 .
  • Fienberg , S. E. 1970 . “An iterative procedure for estimation in contingency tables,” . Ann. Math. Statist. , 41 : 907 – 917 .
  • Gokhale , D. V. 1972 . “Analysis of log-linear models,” . J. Roy. Statist. Soc. Series B , 34 : 371 – 376 .
  • Goodman , L. A. 1970 . “The multivariate analysis of qualitative data: interactions among multiple classifications,” . J. Amer. Statist. Assoc. , 65 : 226 – 256 .
  • Goodman , L. A. 1971 . “The analysis of multidimensional contingency tables: stepwise procedures and direct estimation methods for building models for multiple classifications,” . Technometrics , 13 : 33 – 61 .
  • Grizzle , J. E. , Starmer , C. F. and Koch , G. G. 1969 . “Analysis of categorical data by linear models,” . Biometrics , 25 : 489 – 504 .
  • Ireland , C. T. and Kullback , S. 1968 . “Contingency tables with given marginals,” . Biometrika , 55 : 179 – 188 .
  • Ireland , C. T. and Kullback , S. “The information in contingency tables–an application of information theoretic concepts to the analysis of contingency tables,” Submitted for publication
  • Ku , H. H. and Kullback , S. 1968 . “Interaction in multi-dimensional contingency tables: an information theoretic approach,” . J. Res. Nat. Bur. Standards Sec. B , 72 : 159 – 199 .
  • Ku , H. H. , Varner , R. and Kullback , S. 1971 . “On the analysis of multidimensional contingency tables,” . J. Amer. Statist. Assoc. , 66 : 55 – 64 .
  • Kullback , S. 1959 . Information Theory and Statistics , New York : Wiley . 1968; New York: Dover
  • Kullback , S. “Minimum discrimination information estimation and application,” . Proceedings of the Sixteenth Conference on the Design of Experiments in Army Research, Development and Testing . October 21 1970 . ARO-D Report 71–3, 1–38 Proceedings of the Conference
  • Kullback , S. 1973 . “Estimating and testing linear hypotheses on parameters in the log-linear model,” . Biometrische Zeitschrift , 15 : 371 – 388 .
  • Kullback , S. and Fisher , M. 1973 . “Partitioning second-order interaction in three-way contingency tables,” . Applied Statistics (JRSS Series C) , 22 : 172 – 184 .
  • Wagner , S. S. 1970 . “The maximum-likelihood estimate for contingency tables with zero diagonal,” . J. Amer. Statist. Assoc. , 65 : 1362 – 1383 .

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