Adjusted Chi-Square Statistics: Application to Clustered Binary Data in Primary Care

Adjusted chi-square statistics: application to clustered binary data in primary care.

The frequency of randomized cluster trials is increasing in primary care research. These trials are differentiated by the randomization method, in which a group of individuals is randomly assigned to an intervention as a cluster rather than as individuals. Characteristically, individuals within a cluster tend to be more alike than individuals selected at random. For instance, evaluating the eff...

On the multi _ chi-square tests and their data complexity

Chi-square tests are generally used for distinguishing purposes; however when they are combined to simultaneously test several independent variables, extra notation is required. In this study, the chi-square statistics in some previous works is revealed to be computed half of its real value. Therefore, the notion of Multi _ Chi-square tests is formulated to avoid possible future confusions. In ...

Chi-Square Statistics with Multiple Imputation

Maximally selected chi-square statistics and binary splits of nominal variables.

We address the problem of maximally selected chi-square statistics in the case of a binary Y variable and a nominal X variable with several categories. The distribution of the maximally selected chi-square statistic has already been derived when the best cutpoint is chosen from a continuous or an ordinal X, but not when the best split is chosen from a nominal X. In this paper, we derive the exa...

No . 586 MONOTONICITY OF CHI - SQUARE TEST STATISTICS

This paper establishes monotonicity of the chi-square test statistic. As the more efficient parameter estimator is plugged into the test statistic, the degrees of freedom of the resulting chi-square test statistic monotonically increase.