Introduction

May 5, 2018

This page provides supplemental information for the use of MOTE Effect Size Calculator. Often, an overreliance on p-values conceals the fact that a study is underpowered. A test may be statistically significant, yet practically inconsequential. Although the APA Task Force on Statistical Inference has long advocated for the inclusion of effect sizes, the vast majority of peer-reviewed, published academic studies stop short of reporting effect sizes and confidence intervals.

To simplify the use and interpretation of effect sizes and confidence intervals, our team designed MOTE with Shiny, a package in R. The application relies on mathematical operations provided by the MOTE package, developed by Buchanan, Gillenwaters, Scofield, and Valentine. To begin, the user simply selects the research design and corresponding effect size with intuitive drop-down menus. The output includes a helpful description, a video tutorial, and statistics in APA style, including the effect size and the confidence interval. This application is designed for future implementation in statistics classrooms at the undergraduate and graduate level.

Tests

May 5, 2018

Mean Differences

d for Z-test from Population Mean and SD
d from z-statistic for Z-test
d for Single t from Means
d for Single t from t
d for Dependent t with Average SD Denominator - Means
d for Dependent t with SD Difference Scores Denominator - Means
d from t for Repeated Measures with SD Difference Scores Denominator - t
d for Repeated Measures with Average SD Denominator
d for Between Subjects with Pooled SD Denominator
d from t for Between Subjects
d-delta for Between Subjects with Control Group SD Denominator - Means
d-g Corrected for Independent t
d for Independent Proportions

Variance Overlap

r and Coefficient of Determination (R2) from d
r to Coefficient of Determination (R2) from F
Eta and Coefficient of Determination (R2) for ANOVA from F
Eta for ANOVA from F and Sum of Squares
Partial Eta Squared for ANOVA from F and Sum of Squares
Partial Generalized Eta-Squared for Repeated Measures ANOVA from F
Generalized Eta Squared Partial Mixed - SS
Omega Squared for ANOVA from F
Omega Squared for One-Way and Multi-Way ANOVA from F
Partial Omega Squared for Between Subjects ANOVA from F
Partial Omega Squared for Repeated Measures ANOVA from F
Generalized Omega Squared for Multi-Way and Mixed ANOVA from F
Epsilon for ANOVA from F and Sum of Squares
V for Chi-Square
Chi-Square Odds Ratios

About Us

Jan 1, 2018

DOOM Lab is headed up by principal investigator Dr. Erin Buchanan, an associate professor with Missouri State University, and director of the Statistics and Research Design certificate program. Student researchers on the MOTE Shiny Application project include Amber Gillenwaters, William Padfield, Abbie Van Nuland, Addie Wikowsky, current students in the experimental track at Missouri State University and members of DOOM lab.