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
wˆ—k , then, is n. The €œobserved€ count for cell (i, j) is
xij = sum of the wˆ— k €™s for observations in cell (i, j)
and the €œexpected€ count for cell (i, j) is mË† ij = (xi+x+j)/n. Then compare the test statistic