1972
DOI: 10.1037/h0033455
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Type IV errors and interactions.

Abstract: Marascuilo and Levin's (1970) notion of Type IV errors is extended, with particular attention paid to the interpretation of interactions in factorial analysis of variance (ANOVA) designs. To help clarify what an interaction is and what it is not in terms of the ANOVA model, it is emphasized that (a) comparisons that are designed to explain an interaction are acceptable only if they reduce to comparisons involving interaction parameters exclusively; and (b) such comparisons may be both specified and directional… Show more

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Cited by 51 publications
(28 citation statements)
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References 19 publications
(13 reference statements)
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“…7. Despite its widespread use, Rosenthal and Rosnow (1992) argued that the traditional method of interpreting interaction effects using means is misleading (see also Levin & Marascuilo, 1972). Because the means include both main effects and an interaction (in a 2 × 2 design), an experimenter can accurately understand the interaction only after removing the main effects from the means (and plotting these interaction residuals).…”
Section: Similar To Past Research On Attributions (Seementioning
confidence: 99%
“…7. Despite its widespread use, Rosenthal and Rosnow (1992) argued that the traditional method of interpreting interaction effects using means is misleading (see also Levin & Marascuilo, 1972). Because the means include both main effects and an interaction (in a 2 × 2 design), an experimenter can accurately understand the interaction only after removing the main effects from the means (and plotting these interaction residuals).…”
Section: Similar To Past Research On Attributions (Seementioning
confidence: 99%
“…Interpretation of interactions, especially three-way interactions, can be difficult, since the comparisons that are statistically significant require comparison of at least four cells for a two-way interaction and at least eight cells for a three-way interaction [22]. Thus, the Explanation X Case interaction does not allow one to say that Explanation is significantly (i. e. statistically) better than No Explanation for one case, while No Explanation is significantly better than Explanation for another case.…”
Section: Effects Of Explanationmentioning
confidence: 99%
“…An explanation of differences between the variables does not answer the interaction question, but an explanation of differences between the differences of the variables under one condition compared with another condition does. The reader is encouraged to consult Marascuilo and Levin (1970) and Levin and Marascuilo (1972; for further information about interaction interpretations. If authors and editors are aware that interactions are frequently misinterpreted, they may be more likely to check their data or consult with statisticians before publishing their results.…”
Section: Othermentioning
confidence: 99%