fraction.subtraction.data: Fraction Subtraction Data

Description

Tatsuoka's (1984) fraction subtraction data set is comprised of responses to $J=20$ fraction subtraction test items from $N=536$ middle school students.

Usage

data(fraction.subtraction.data)

Arguments

format

The fraction.subtraction.data data frame consists of 536 rows and 20 columns, representing the responses of the $N=536$ students to each of the $J=20$ test items. Each row in the data set corresponds to the responses of a particular student. Thereby a "1" denotes that a correct response was recorded, while "0" denotes an incorrect response. The other way round, each column corresponds to all responses to a particular item.

source

The Royal Statistical Society Datasets Website, Series C, Applied Statistics, Data analytic methods for latent partially ordered classification models: URL: http://www.blackwellpublishing.com/rss/Volumes/Cv51p2_read2.htm

Details

The items used for the fraction subtraction test originally appeared in Tatsuoka (1984) and are published in Tatsuoka (2002). They can also be found in DeCarlo (2011). All test items are based on 8 attributes (e.g. convert a whole number to a fraction, separate a whole number from a fraction or simplify before subtracting). The complete list of skills can be found in fraction.subtraction.qmatrix.

References

DeCarlo, L. T. (2011). On the analysis of fraction subtraction data: The DINA Model, classification, latent class sizes, and the Q-Matrix. Applied Psychological Measurement, 35, 8--26. Tatsuoka, C. (2002). Data analytic methods for latent partially ordered classification models. Journal of the Royal Statistical Society, Series C, Applied Statistics, 51, 337--350. Tatsuoka, K. (1984). Analysis of errors in fraction addition and subtraction problems. Final Report for NIE-G-81-0002, University of Illinois, Urbana-Champaign.