polychor.matrix

Yule2poly.matrix

phi2poly.matrix

Yule2phi.matrix

A set of deprecated functions that have replaced by <code>Yule2tetra</code> and <code>Yule2phi</code>.
Some older correlation matrices were reported as matrices of Phi or of Yule correlations. That is, correlations were found from the two by two table of counts:
 <table class="table">
<tr><td></td><td>a</td><td>b</td></tr>
<tr><td></td><td>c</td><td>d</td></tr>
</table>
Yule Q is (ad - bc)/(ad+bc). 
With marginal frequencies of a+b, c+d, a+c, b+d.
Given a square matrix of such correlations, and the proportions for each variable that are in the a + b cells, it is possible to reconvert each correlation into a two by two table and then estimate the corresponding polychoric correlation (using John Fox's polychor function.

 multivariate

 models

A general purpose toolbox developed originally for personality, psychometric theory and experimental psychology. Functions are primarily for multivariate analysis and scale construction using factor analysis, principal component analysis, cluster analysis and reliability analysis, although others provide basic descriptive statistics. Item Response Theory is done using factor analysis of tetrachoric and polychoric correlations. Functions for analyzing data at multiple levels include within and between group statistics, including correlations and factor analysis. Validation and cross validation of scales developed using basic machine learning algorithms are provided, as are functions for simulating and testing particular item and test structures. Several functions serve as a useful front end for structural equation modeling. Graphical displays of path diagrams, including mediation models, factor analysis and structural equation models are created using basic graphics. Some of the functions are written to support a book on psychometric theory as well as publications in personality research. For more information, see the <https://personality-project.org/r/> web page.

William Revelle

psych

Procedures for Psychological, Psychometric, and Personality
Research

polychor.matrix function

<dl> <dt>x</dt>
<dd>a matrix of phi or Yule coefficients</dd> <dt>v</dt>
<dd>A vector of marginal frequencies</dd></dl>

Arguments

Author

A set of deprecated functions that have replaced by <code>Yule2tetra</code> and <code>Yule2phi</code>.
Some older correlation matrices were reported as matrices of Phi or of Yule correlations. That is, correlations were found from the two by two table of counts:
 <table class='table'>
<tr><td></td><td>a</td><td>b</td></tr>
<tr><td></td><td>c</td><td>d</td></tr>
</table>
Yule Q is (ad - bc)/(ad+bc). 
With marginal frequencies of a+b, c+d, a+c, b+d.
Given a square matrix of such correlations, and the proportions for each variable that are in the a + b cells, it is possible to reconvert each correlation into a two by two table and then estimate the corresponding polychoric correlation (using John Fox's polychor function.

Phi or Yule coefficient matrix  to polychoric coefficient matrix — polychor.matrix

<dl>

 <dt>x</dt>
<dd>a matrix of phi or Yule coefficients</dd>

 <dt>v</dt>
<dd>A vector of marginal frequencies</dd>

</dl>

polychor.matrix: Phi or Yule coefficient matrix to polychoric coefficient matrix

Description

Usage

Value

Arguments

Author

Details

Examples