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# associationMatrix: associationMatrix

## Description

associationMatrix produces a matrix with confidence intervals for effect sizes, point estimates for those effect sizes, and the p-values for the test of the hypothesis that the effect size is zero, corrected for multiple testing.

## Usage

```associationMatrix(dat=NULL, x=NULL, y=NULL, conf.level = .95,
correction = "fdr", bootstrapV=FALSE,
info=c("full", "ci", "es"),
includeSampleSize = "depends",
bootstrapV.samples = 5000, digits = 2,
pValueDigits = digits + 1, colNames = FALSE,
type=c("R", "html", "latex"), file="",
statistic = associationMatrixStatDefaults,
effectSize = associationMatrixESDefaults,
var.equal = 'test')```

## Arguments

dat

A dataframe with the variables of interest. All variables in this dataframe will be used if both x and y are NULL. If dat is NULL, the user will be presented with a dialog to select a datafile.

x

If not NULL, this should be a character vector with the names of the variables to include in the rows of the association table. If x is NULL, all variables in the dataframe will be used.

y

If not NULL, this should be a character vector with the names of the variables to include in the columns of the association table. If y is NULL, the variables in x will be used for the columns as well (which produces a symmetric matrix, similar to most correlation matrices).

conf.level

Level of confidence of the confidence intervals.

correction

Correction for multiple testing: an element out of the vector c("holm", "hochberg", "hommel", "bonferroni", "BH", "BY", "fdr", "none"). NOTE: the p-values are corrected for multiple testing; The confidence intervals are not!

bootstrapV

Whether to use bootstrapping to compue the confidence interval for Cramer's V or whether to use the Fisher's Z conversion.

info

Information to print: either both the confidence interval and the point estimate for the effect size (and the p-value, corrected for multiple testing), or only the confidence intervals, or only the point estimate (and the corrected p-value). Must be on element of the vector c("full", "ci", "es").

includeSampleSize

Whether to include the sample size when the effect size point estimate and p-value are shown. If this is "depends", it will depend on whether all associations have the same sample size (and the sample size will only be printed when they don't). If "always", the sample size will always be added. If anything else, it will never be printed.

bootstrapV.samples

If using boostrapping for Cramer's V, the number of samples to generate.

digits

Number of digits to round to when printing the results.

pValueDigits

How many digits to use for formatting the p values.

colNames

If true, the column heading will use the variables names instead of numbers.

type

Type of output to generate: must be an element of the vector c("R", "html", "latex").

file

If a file is specified, the output will be written to that file instead of shown on the screen.

statistic

This is the complicated bit; this is where associationMatrix allows customization of the used statistics to perform null hypothesis significance testing. For everyday use, leaving this at the default value, associationMatrixStatDefaults, works fine. In case you want to customize, read the 'Notes' section below.

effectSize

Like the 'statistics' argument, 'effectSize also allows customization, in this case of the used effect sizes. Again, the default value, associationMatrixESDefaults, works for everyday use. Again, see the 'Notes' section below if you want to customize.

var.equal

Whether to test for equal variances ('test'), assume equality ('yes'), or assume unequality ('no'). See `meanDiff` for more information.

## Value

An object with the input and several output variables, one of which is a dataframe with the association matrix in it. When this object is printed, the association matrix is printed to the screen. If the 'file' parameter is specified, a file with this matrix will also be written to disk.

## Examples

Run this code
``````# NOT RUN {
### Generate a simple association matrix using all three variables in the
### Orange tree dataframe
associationMatrix(Orange);

### Or four variables from infert:
associationMatrix(infert, c("education", "parity",
"induced", "case"), colNames=TRUE);

### Use variable names in the columns and generate html
associationMatrix(Orange, colNames=TRUE, type='html');

# }
``````

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