INCOMPLETE CONTINGENCY TABLES

SUMMARY Goodman's work on quasi-independence and missing values for contingency tables is unified so as to cover in general incompleteness, as here defined. Cyclic computational procedures are provided for maximum likelihood fitting of iincomplete data. Methods are given for determining appropriate degrees of freedom, whether by identifyinig separable or semiseparable subtables or by elimination of cell isolates. There is discussion of how inicompleteness might arise in other contingency-table situations, e.g. in testing symmetry for square contingency tables. But it is suggested that use of some power-increasingf test might be preferable for detecting departures from symmetry.

[1]  A. Bowker,et al.  A test for symmetry in contingency tables. , 1948, Journal of the American Statistical Association.

[2]  Estimation of parameters of a truncated Poissonian binomial. , 1968, Biometrics.

[3]  M. W. Birch.  Maximum Likelihood in Three-Way Contingency Tables , 1963 .

[4]  S. Fienberg,et al.  Incomplete two-dimensional contingency tables. , 1969, Biometrics.

[5]  N. Mantel,et al.  ANALYSES OF BIRTH-RANK DATA1 , 1963 .

[6]  N Mantel,et al.  Models for complex contingency tables and polychotomous dosage response curves. , 1966, Biometrics.

[7]  N Mantel,et al.  A simple method of estimating the segregation ratio under complete ascertainment. , 1968, American journal of human genetics.

[8]  W. Deming,et al.  On a Least Squares Adjustment of a Sampled Frequency Table When the Expected Marginal Totals are Known , 1940 .

[9]  Nathan Mantel,et al.  A Statistical Problem in Space and Time: Do Leukemia Cases Come in Clusters? , 1964 .

[10]  N Mantel,et al.  Computation of indirect-adjusted rates in the presence of confounding. , 1968, Biometrics.

[11]  N. Mantel,et al.  Site distribution of cancer deaths in husband-wife and sibling pairs. , 1961, Journal of the National Cancer Institute.

[12]  Henri Caussinus,et al.  Contribution à l'analyse statistique des tableaux de corrélation , 1965 .

[13]  L. A. Goodman.  The Analysis of Cross-Classified Data: Independence, Quasi-Independence, and Interactions in Contingency Tables with or without Missing Entries , 1968 .