The editorial policies of several prominent educational and psychological journals require that researchers report some measure of effect size along with tests for statistical significance. In analysis of variance contexts, this requirement might be met by using eta squared or omega squared statistics. Current procedures for computing these measures of effect often do not consider the effect that design features of the study have on the size of these statistics. Because research-design features can have a large effect on the estimated proportion of explained variance, the use of partial eta or omega squared can be misleading. The present article provides formulas for computing generalized eta and omega squared statistics, which provide estimates of effect size that are comparable across a variety of research designs.
Although dissatisfaction with the limitations associated with tests for statistical significance has been growing for several decades, applied researchers have continued to rely almost exclusively on these indicators of effect when reporting their findings. To encourage an increased use of alternative measures of effect, the present paper discusses several measures of effect size that might be used in group comparison studies involving univariate and/or multivariate models. For the methods discussed, formulas are presented and data from an experimental study are used to demonstrate the application and interpretation of these indices. The paper concludes with some cautionary notes on the limitations associated with these measures of effect size.
Articles published in several prominent educational journals were examined to investigate the use of data-analysis tools by researchers in four research paradigms: between-subjects univariate designs, between-subjects multivariate designs, repeated measures designs, and covariance designs. In addition to examining specific details pertaining to the research design (e.g., sample size, group size equality/inequality) and methods employed for data analysis, we also catalogued whether: (a) validity assumptions were examined, (b) effect size indices were reported, (c) sample sizes were selected based on power considerations, and (d) appropriate textbooks and/or articles were cited to communicate the nature of the analyses that were performed. Our analyses imply that researchers rarely verify that validity assumptions are satisfied and accordingly typically use analyses that are nonrobust to assumption violations. In addition, researchers rarely report effect size statistics, nor do they routinely perform power analyses to determine sample size requirements. We offer many recommendations to rectify these shortcomings. Data Analytic Practices 3 Statistical Practises of Educational Researchers:An Analysis of Their ANOVA, MANOVA and ANCOVA Analyses It is well known that the volume of published educational research is increasing at a very rapid pace. As a consequence of the expansion of the field, qualitative and quantitative reviews of the literature are becoming more common. These reviews typically focus on summarizing the results of research in particular areas of scientific inquiry (e.g., academic achievement or English as a second language) as a means of highlighting important findings and identifying gaps in the literature. Less common, but equally important, are reviews that focus on the research process, that is, the methods by which a research topic is addressed, including research design and statistical analysis issues.Methodological research reviews have a long history (e.g., Edgington, 1964; Elmore & Woehlke, 1988 Goodwin & Goodwin, 1985a, 1985bWest, Carmody, & Stallings, 1983).One purpose of these reviews has been the identification of trends in data-analytic practice. The documentation of such trends has a two-fold purpose: (a) it can form the basis for recommending improvements in research practice, and (b) it can be used as a guide for the types of inferential procedures that should be taught in methodological courses, so that students have adequate skills to interpret the published literature of a discipline and to carry out their own projects.One consistent finding of methodological research reviews is that a substantial gap often exists between the inferential methods that are recommended in the statistical research literature and those techniques that are actually adopted by applied researchers (Goodwin & Goodwin, 1985b;Ridgeway, Dunston, & Qian, 1993). The practice of relying on traditional methods of analysis is, however, dangerous. The field of statistics is by no means static; improveme...
This quasi-experimental study compared the effects of morphemic and contextual analysis instruction (MC) with the effects of textbook vocabulary instruction (TV) that was integrated into social studies textbook lessons. The participants were 157 students in eight fifth-grade classrooms. The results indicated that (a) TV students were more successful at learning textbook vocabulary; (b) MC students were more successful at inferring the meanings of novel affixed words; (c) MC students were more successful at inferring the meanings of morphologically and contextually decipherable words on a delayed test but not on an immediate test; and (d) the groups did not differ on a comprehension measure or a social studies learning measure. The results were interpreted as support for teaching specific vocabulary and morphemic analysis, with some evidence for the efficacy of teaching contextual analysis.
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