mdsdt (version 1.2)

mriTest: Test marginal response invariance

Description

Tests marginal response invariance at both levels on each dimension

Usage

mriTest(x)

Arguments

x

four-by-four confusion matrix

Value

data frame containing z-scores and p-values for all four tests

Source

Ashby, F. G., & Townsend, J. T. (1986). Varieties of perceptual independence. Psychological review, 93(2), 154. Thomas, R. D. (2001).Perceptual interactions of facial dimensions in speeded classification and identification. Perception \& Psychophysics, 63(4), 625--650. Silbert, N. H., & Thomas, R. D. (2013). Decisional separability, model identification, and statistical inference in the general recognition theory framework. Psychonomic bulletin & review, 20(1), 1-20.

Details

If the p value for either level of the x dimension is significant, we are justified in rejecting the null hypothesis of perceptual separability on the x dimension. Similarly for the y dimension.

The estimator is derived in a footnote of Thomas (2001).

Examples

data(thomas01a)
mriTest(thomas01a)