EXPANDED STATISTICAL TABLES FOR ESTIMATING SIGNIFICANCE IN PAIRED—PREFERENCE, PAIRED–DIFFERENCE, DUO–TRIO AND TRIANGLE TESTS

ABSTRACT Two sets of expanded tables have been compiled for use in determining significance in paired‐difference and triangle tests (one‐tailed) and in paired‐preference tests (two‐tailed). One set of tables lists the number of correct responses (or agreeing judgments) for trials ranging from 7–100, at p < 0.05, 0.04, 0.03, 0.02, 0.01, 0.005 and 0.001. These tables are convenient for a quick estimate of significance of laboratory sensory data as well as consumer responses. The second set of tables gives the probabilities of obtaining a given number of correct (or agreeing) judgments in trials ranging from 5–50. These probability tables provide a more precise estimate of significance, which may be needed in more critical research or in making decisions of considerable importance. Some examples are given, with guidelines for the proper use of these tables and the interpretation of significance based upon them.