This method assumes that the assay results to be combined are independent, but no assumption is made on homogeneity. Instead a test is performed, and the appropriate weighted method is chosen based on the result of the test.
Given Relative Potency results to combine, with variances of the logarithms of the Relative Potency results, a statistic is calculated as
where is the weighted mean with weights
A p-value is obtained by comparing to the distribution. If the critical p-value set by the user is higher than the test result, then the method assuming homogeneity is chosen. Otherwise the method assuming heterogeneity is used.
