LIMITED AND FULL INFORMATION ESTIMATION AND GOODNESS-OF-FIT TESTING IN 2n CONTINGENCY TABLES : A UNIFIED APPROACH

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    Keywords:
    multivariate bernoulli distributionitem response modelinglow-dimensional marginsquadratic form statisticslimited information

    Abstract:

    High-dimensional contingency tables tend to be sparse and standard goodness-of- fit statistics such as X2 cannot be used without pooling categories. As an improvement on arbitrary pooling, for goodness-of-fit of large 2n contingency tables, we propose a class of quadratic form statistics based on the residuals of margins or multivariate m...More

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