naa a22 4500 510777473 CHVBK 20180411083235.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.3758/s13428-012-0257-2 doi (NATIONALLICENCE)springer-10.3758/s13428-012-0257-2 Bias and precision of some classical ANOVA effect sizes when assumptions are violated [Elektronische Daten] [Susan Troncoso Skidmore, Bruce Thompson] Previous simulation research has focused on evaluating the impact of analytic assumption violations on statistics related to the F test and associated p CALCULATED values. The present article evaluated the bias of classical estimates of practical significance (i.e., effect size sample estimators $$ {\widehat{\eta}^2} $$ , $$ {\widehat{\varepsilon}^2} $$ , and $$ {\widehat{\omega}^2} $$ ) in a one-way between-subjects univariate ANOVA when assumptions are violated. The simulation conditions modeled were selected on the basis of prior empirical research. Estimated (1) sampling error bias and (2) precision computed for each of the three effect size estimates for the 5,000 samples drawn for each of the 270 (5 parameter Cohen's d values × 3 group size ratios × 3 population distribution shapes × 3 variance ratios × 2 total ns) conditions were modeled for each of the k = 2, 3, and 4 group analyses. Our results corroborate the limited previous related research and suggest that $$ {\widehat{\eta}^2} $$ should not be used as an ANOVA effect size estimator, even though $$ {\widehat{\eta}^2} $$ is the only available choice in the menus in most commonly available software. Psychonomic Society, Inc., 2012 Effect size nationallicence Practical significance nationallicence Analysis of variance nationallicence Homogeneity of variance nationallicence Type I error nationallicence Power nationallicence Eta squared nationallicence Epsilon squared nationallicence Omega squared nationallicence Troncoso Skidmore Susan Sam Houston State University, Huntsville, TX, USA aut Thompson Bruce Texas A&M University, College Station, TX, USA aut Behavior Research Methods Springer-Verlag 45/2(2013-06-01), 536-546 45:2<536 2013 45 13428 https://doi.org/10.3758/s13428-012-0257-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.3758/s13428-012-0257-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Troncoso Skidmore Susan Sam Houston State University, Huntsville, TX, USA aut NATIONALLICENCE 700 1- Thompson Bruce Texas A&M University, College Station, TX, USA aut NATIONALLICENCE 773 0- Behavior Research Methods Springer-Verlag 45/2(2013-06-01), 536-546 45:2<536 2013 45 13428 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer