1969
DOI: 10.1037/h0027878
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Beyond tests of significance: Estimating strength of effects in selected ANOVA designs.

Abstract: Kcw psychological reports of ex])criments using ANOVA designs include estimates of variance components. Such estimates have various uses, including that of assessing the strength of experimental effects, rather than stopping short with the calculation of a significance level. The present paper is devoted to encouraging this additional analysis of data by providing computational formulas appropriate to estimating the strength of effects in basic one-way, two-way, and three-way ANOVA designs. Issues which develo… Show more

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Cited by 211 publications
(116 citation statements)
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“…Instead of a set of parallel curves, the factorial plots are somewhat barrel shaped ( Figures 10C and 10D). To investigate whether these significant deviations affected the scale values, the relative magnitude of experimental effects ((()2) was calculated for a three-way mixed-model design (Vaughan & Corballis, 1969). Since the sizes of the experimental left X right effects were small (0.63% and 0.37% for the SD and LD conditions, respectively), the effect of the deviations from parallelism on the scale values is negli-whereas the change in the form ofthe stimulus-response relationship results from a change in judgment function.…”
Section: Resultsmentioning
confidence: 99%
“…Instead of a set of parallel curves, the factorial plots are somewhat barrel shaped ( Figures 10C and 10D). To investigate whether these significant deviations affected the scale values, the relative magnitude of experimental effects ((()2) was calculated for a three-way mixed-model design (Vaughan & Corballis, 1969). Since the sizes of the experimental left X right effects were small (0.63% and 0.37% for the SD and LD conditions, respectively), the effect of the deviations from parallelism on the scale values is negli-whereas the change in the form ofthe stimulus-response relationship results from a change in judgment function.…”
Section: Resultsmentioning
confidence: 99%
“…For designs involving more than one random independent variable the formulas provided by Vaughan and Corballis (1969) or Dodd and Schultz (1973) would be useful or the appropriate statistics may be derived using the expected mean squares reported in several popular intermediate statistics textbooks (e.g., Keppel, 1991;Kirk, 1982;Maxwell & Delaney, 1990).…”
Section: Between-subjects Univariate Designsmentioning
confidence: 99%
“…In many applied research contexts sample sizes are not equal and are generally disproportionate. Vaughan and Corballis (1969) cautioned against the use of omega squared in these situations. Carroll and Nordholm (1975), however, found that in a single-factor design, unequal n had little effect on the estimation of Kelley's ε 2 or Hay's ω 2 if variances are equal, and with equal n heterogeneous variances had little impact on the estimation of these effect sizes.…”
Section: Cautionary Notesmentioning
confidence: 99%
“…Each set of data was analyzed by a modified unweighted means analysis of variance (Winer, 1971, Case II;Huitson, 1966). The magnitude of experimental effects was estimated by computation of w' (Vaughan & Corballis, 1969).…”
Section: Methodsmentioning
confidence: 99%