LAMST AND THE HYPOTHESIS OF NO THREE FACTOR INTERACTION IN CONTINGENCY TABLES.

A new class of tests is presented for testing the hypothesis of no second order interaction in three-way contingency tables. This hypothesis is expressed first in the form of linear contrasts in logarithms of the parameters of a multinomial experiment and the test is based on the general theory of locally asymptotically most stringent tests. Specific test criteria are then given for testing no second order interaction in 2 X2 X 2, 2 x 2 x K and I x J x K contingency tables. Two examples are discussed. [ABSTRACT FROM AUTHOR]