# es.e: es.e In es.dif: Compute Effect Sizes of the Difference

## Description

Calculates the effect size of the difference, its variance and confidence interval from two datasets (data1 and data2) without assuming the variance equality.

Default function returns unbiased e (unbiased=TRUE). When unbiased=FALSE, it returns biased e. The variance for small samples may be negative because of the inaccuaracy of the approximation of the degree of freedom. The confidence interval is given by binary search. Therefore, the confidence interval has rounding error, and alpha with many digits will need very long computation time. In some situations, the confidence interval may be inaccurate, and the warning message appears because of the limitation of the function pt(), which is used for the calculation.

## Usage

 `1` ```es.e(data1,data2,alpha=0.05,unbiased=TRUE,vector_out=FALSE) ```

## Arguments

 `data1` Dataset 1 as a numeric vector. `data2` Dataset 2 as a numeric vector. `alpha` Confidence level, or type I error rate for the confidence interval. The default value gives 95% CI. `unbiased` When true (default), the bias corrected value is returned. When false, the value based on the whole population sample is returned. `vector_out` Whether output is in vector or not. When in vector, it is c(effect size, the variance, lower CI bound, higher CI bound).

## References

Aoki S. (2020) Effect sizes of the differences between means without assuming the variance equality and between a mean and a constant. Heliyon 6(1): e03306.

Aoki S., Ito M. & Shimada M. (2019) Effect sizes of the differences between means without assuming the variance equality and between a mean and a constant. arXiv:1901.09581.

## Examples

 ```1 2 3``` ```data1<-c(1,2,3) data2<-c(2,3,4) es.e(data1,data2) ```

es.dif documentation built on May 2, 2020, 9:05 a.m.