Pairwise Multiple Comparisons under Violation of the Independence Assumption |
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Authors: | Seco G Vallejo Menéndez de la Fuente I A Escudero J R |
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Institution: | (1) Department of Psychology, University of Oviedo, Plaza Feijóo, s/n, 33003 Oviedo, Spain |
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Abstract: | Several multiple comparison procedures (MCPs)were compared for their rates of Type I error and fortheir ability to detect true pairwise differencesamong means when independence of observationsassumption were not satisfied. Monte Carlo resultsshowed that, if independence is not met, none of theprocedures maintain controlled at the chosennominal level, neither using error rate per comparisonor the error rate experimentwise. However, once thedependence of the data was corrected the Type I errorrate was maintained at the same level as when thecorrelation was zero in all the procedures, except forthe Fisher's (1935) least significant differenceprocedure (LSD) and Hayter's (1986) two-stagemodified LSD procedure (FH). At the sametime, conform the correlation increased by a smallamount the power rates also, specially, when the powerwas examined using per-pair power. |
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Keywords: | error rate per comparison error rate per experimentwise per-pairs power all-pairs power dependent data |
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