polychor.matrix {psych} R Documentation

## Phi or Yule coefficient matrix to polychoric coefficient matrix

### Description

A set of deprecated functions that have replaced by `Yule2tetra` and `Yule2phi`.

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:

 a b c d

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.

### Usage

```Yule2poly.matrix(x, v)  #deprectated
phi2poly.matrix(x, v)     #deprectated
Yule2phi.matrix(x, v)     #deprectated
```

### Arguments

 `x` a matrix of phi or Yule coefficients `v` A vector of marginal frequencies

### Details

These functions call `Yule2poly`, `Yule2phi` or `phi2poly` for each cell of the matrix. See those functions for more details. See `phi.demo` for an example.

### Value

A matrix of correlations

William Revelle

### Examples

```#demo <- phi.demo()
#compare the phi (lower off diagonal and polychoric correlations (upper off diagonal)
#show the result from poly.mat
#round(demo\$tetrachoric\$rho,2)
#show the result from phi2poly
#tetrachorics above the diagonal, phi below the diagonal
#round(demo\$phis,2)

```

[Package psych version 1.4.5 Index]
Part of the Personality Project      Take our Personality Test