# Tau_U: Tau-U In SingleCaseES: A Calculator for Single-Case Effect Sizes

## Description

Calculates the Tau-U index with baseline trend correction (Parker, Vannest, Davis, & Sauber 2011).

## Usage

 ```1 2 3 4 5 6 7 8``` ```Tau_U( A_data, B_data, condition, outcome, baseline_phase = unique(condition)[1], improvement = "increase" ) ```

## Arguments

 `A_data` vector of numeric data for A phase, sorted in order of session number. Missing values are dropped. `B_data` vector of numeric data for B phase. Missing values are dropped. `condition` vector identifying the treatment condition for each observation in the series. `outcome` vector of outcome data for the entire series. `baseline_phase` character string specifying which value of `condition` corresponds to the baseline phase. Defaults to first observed value of `condition`. `improvement` character string indicating direction of improvement. Default is "increase".

## Details

Tau-U is an elaboration of the `Tau` that includes a correction for baseline trend. It is calculated as Kendall's S statistic for the comparison between the phase B data and the phase A data, plus Kendall's S statistic for the A phase observations, scaled by the product of the number of observations in each phase.

Note that `A_data` must be ordered by session number.

Numeric value

## References

Parker, R. I., Vannest, K. J., Davis, J. L., & Sauber, S. B. (2011). Combining nonoverlap and trend for single-case research: Tau-U. Behavior Therapy, 42(2), 284–299. doi:doi: 10.1016/j.beth.2010.08.006

## Examples

 ```1 2 3``` ```A <- c(20, 20, 26, 25, 22, 23) B <- c(28, 25, 24, 27, 30, 30, 29) Tau_U(A_data = A, B_data = B) ```

SingleCaseES documentation built on Sept. 30, 2021, 5:09 p.m.