# epsilon.full.SS: Epsilon for ANOVA from F and Sum of Squares In MOTE: Effect Size and Confidence Interval Calculator

## Description

This function displays epsilon squared from ANOVA analyses and its non-central confidence interval based on the F distribution. This formula works for one way and multi way designs with careful focus on the sum of squares total calculation.

## Usage

 `1` ```epsilon.full.SS(dfm, dfe, msm, mse, sst, a = 0.05) ```

## Arguments

 `dfm` degrees of freedom for the model/IV/between `dfe` degrees of freedom for the error/residual/within `msm` mean square for the model/IV/between `mse` mean square for the error/residual/within `sst` sum of squares total `a` significance level

## Details

To calculate epsilon, first, the mean square for the error is substracted from the mean square for the model. The difference is multiplied by the degrees of freedom for the model. The product is divided by the sum of squares total.

epsilon^2 = (dfm * (msm - mse)) / (sst)

## Value

Provides the effect size (epsilon) with associated confidence intervals from the F-statistic.

 `epsilon` effect size `epsilonlow` lower level confidence interval of epsilon `epsilonhigh` upper level confidence interval of epsilon `dfm` degrees of freedom for the model/IV/between `dfe` degrees of freedom for the error/residual/within `F` F-statistic `p` p-value `estimate` the epsilon statistic and confidence interval in APA style for markdown printing `statistic` the F-statistic in APA style for markdown printing

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15``` ```#The following example is derived from the "bn1_data" dataset, included #in the MOTE library. #A health psychologist recorded the number of close inter-personal #attachments of 45-year-olds who were in excellent, fair, or poor #health. People in the Excellent Health group had 4, 3, 2, and 3 #close attachments; people in the Fair Health group had 3, 5, #and 8 close attachments; and people in the Poor Health group #had 3, 1, 0, and 2 close attachments. anova_model = lm(formula = friends ~ group, data = bn1_data) summary.aov(anova_model) epsilon.full.SS(dfm = 2, dfe = 8, msm = 12.621, mse = 2.458, sst = (25.24+19.67), a = .05) ```

MOTE documentation built on May 2, 2019, 5:51 a.m.