Incomplete Tables, Separability and Collapsibility

  • Erling B. Andersen


An observed contingency table is incomplete if it contains zeros in certain cells. Such zeros are of two types, random zeros and structural zeros. A cell has a random zero, if the observed value in the cell is zero, but the expected value is positive. A cell has a structural zero if the expected number is zero, i.e. if it is known a priori that the cell will contain a zero. Random or structural zeros does not impaire the log-linear structure of a given model. It means, however, that certain log-linear parameters can not be estimated.


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Copyright information

© Springer-Verlag Berlin · Heidelberg 1994

Authors and Affiliations

  • Erling B. Andersen
    • 1
  1. 1.Department of StatisticsUniversity of CopenhagenCopenhagen KDenmark

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