Balance the Pairs of Stimuli

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Description

This function balances the pairs of stimuli so that each stimulus appears equally often as the first or second member of a pair.

Usage

1

Arguments

matrix.x

A matrix where the elements correspond to the ordinal position of the stimulus presented first in each pair

matrix.y

A matrix where the elements correspond to the ordinal position of the stimulus presented second in each pair

numstim

The number of stimuli

Details

This function is called in the ross.ordering, matrix.sampling and incomplete.design functions.

Value

A data frame of the ordinal positions for the balanced pairs of stimuli.

Author(s)

Andrew Zieffler zief002@umn.edu, Stacy Karl karlx028@umn.edu, and Julio Cabrera cabre031@umn.edu

References

Davison, M. L. Zieffler, A. Cabrera, J. Karl, S. R. and Cohen, H. S. in press Automated Assembly of Optimally Spaced and Balanced Paired Comparisons: Controlling Order Effects. Behavioral Research Methods. DOI 10.3758/s13428-011-0170-0

Cohen, H.S. and Davison, M.L. 1973 Jiffy-Scale: A FORTRAN IV Program for Generating Ross-Ordered Paired Comparisons. Behavioral Science, 18, 1, 76.

Ross, R.T. 1934 Optimimum Orders for the Presentation of Pairs in the Method of Paired Comparisons. Journal of Educational Psychology, 25, 5, 375–382.

See Also

matrix.x, matrix.y

Examples

1