# SimAnova: Function for decomposing the simulation into ANOVA-based... In SimDesign: Structure for Organizing Monte Carlo Simulation Designs

## Description

Given the results from a simulation with `runSimulation` form an ANOVA table (without p-values) with effect sizes based on the eta-squared statistic. These results provide approximate indications of observable simulation effects, therefore these ANOVA-based results are generally useful as exploratory rather than inferential tools.

## Usage

 `1` ```SimAnova(formula, dat, subset = NULL, rates = TRUE) ```

## Arguments

 `formula` an R formula generally of a form suitable for `lm` or `aov`. However, if the dependent variable (left size of the equation) is omitted then all the dependent variables in the simulation will be used and the result will return a list of analyses `dat` an object returned from `runSimulation` of class `'SimDesign'` `subset` an optional argument to be passed to `subset` with the same name. Used to subset the results object while preserving the associated attributes `rates` logical; does the dependent variable consist of rates (e.g., returned from `ECR` or `EDR`)? Default is TRUE, which will use the logit of the DV to help stabilize the proportion-based summary statistics when computing the parameters and effect sizes

## Author(s)

Phil Chalmers [email protected]

## References

Sigal, M. J., & Chalmers, R. P. (2016). Play it again: Teaching statistics with Monte Carlo simulation. `Journal of Statistics Education, 24`(3), 136-156. doi: 10.1080/10691898.2016.1246953

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10``` ```data(BF_sim) # all results (not usually good to mix Power and Type I results together) SimAnova(alpha.05.F ~ (groups_equal + distribution)^2, BF_sim) # only use anova for Type I error conditions SimAnova(alpha.05.F ~ (groups_equal + distribution)^2, BF_sim, subset = var_ratio == 1) # run all DVs at once using the same formula SimAnova(~ groups_equal * distribution, BF_sim, subset = var_ratio == 1) ```

SimDesign documentation built on May 20, 2018, 9:03 a.m.