Some researchers have used the following method to perform tests of association in two-way tables. Instead of

Question:

Some researchers have used the following method to perform tests of association in two-way tables. Instead of using the original observation weights wk , define

Where n is the number of observation units in the sample. The sum of the new weights
w∗k , then, is n. The “observed” count for cell (i, j) is
xij = sum of the w∗ k ’s for observations in cell (i, j)
and the “expected” count for cell (i, j) is mˆ ij = (xi+x+j). Then compare the test statistic