TY - JOUR AU1 - Marascuilo, Leonard A. AU2 - Levin, Joel R. AB - American Educational Research Journal Winter 1976, Vol. 13, No. 1, Pp. 61-65 The Simultaneous Investigation of Interaction and Nested Hypotheses in Two- Factor Analysis of Variance Designs LEONAR D A. MARASCUILO University of California, Berkeley JOE L R. LEVIN University of Wisconsin, Madison Type IV Errors: A Refresher A Typ e IV error, as introduce d by Marascuilo and Levin (1970), refers to the incorrect interpretation of a correctly rejected hypothesis. It was suggested that Type IV errors may be found in abundance in factorial analysis of variance (ANOVA) designs, in particular in the interpretation of significant interactions. Th e source of such Type IV errors is two-fold: (1) researchers typically employ post hoc statistical procedures with an associated Type 1 error probability different from that of the omnibus interaction test; and (2) researchers typically define contrasts among cell means which confound interaction parameters with other parameters of the ANOVA model. Marascuilo and Levin have pointed out that both of these post hoc analysis problems may be eliminated if contrasts congruent with the mathematical model are defined, and these contrasts are subsequently assessed for statistical significance by means of Scheffe's (1953) post hoc multiple comparison procedure. This advice, thoug TI - The Simultaneous Investigation of Interaction and Nested Hypotheses in Two-Factor Analysis of Variance Designs: JF - American Educational Research Journal DO - 10.3102/00028312013001061 DA - 2016-11-23 UR - https://www.deepdyve.com/lp/sage/the-simultaneous-investigation-of-interaction-and-nested-hypotheses-in-4D5IanVb98 SP - 61 EP - 65 VL - 13 IS - 1 DP - DeepDyve ER -