items_fractions {edmdata}

Fraction Subtraction and Addition Assessment Item Responses

Description

Fraction Subtraction and Addition Assessment Item Responses

Usage

items_fractions

Format

An object of class matrix (inherits from array) with 536 rows and 20 columns.

Details

The subjects answered the following assessment items:

• Item01: \frac{5}{3}-\frac{3}{4}

• Item02: \frac{3}{4}-\frac{3}{8}

• Item03: \frac{5}{6}-\frac{1}{9}

• Item04: 3\frac{1}{2}-2\frac{3}{2}

• Item05: 4\frac{3}{5}-3\frac{4}{10}

• Item06: \frac{6}{7}-\frac{4}{7}

• Item07: 3-2\frac{1}{5}

• Item08: \frac{2}{3}-\frac{2}{3}

• Item09: 3\frac{7}{8}-2

• Item10: 4\frac{4}{12}-2\frac{7}{12}

• Item11: 4\frac{1}{3}-2\frac{4}{3}

• Item12: \frac{11}{8}-\frac{1}{8}

• Item13: 3\frac{3}{8}-2\frac{5}{6}

• Item14: 3\frac{4}{5}-3\frac{2}{5}

• Item15: 2-\frac{1}{3}

• Item16: 4\frac{5}{7}-1\frac{4}{7}

• Item17: 7\frac{3}{5}-2\frac{4}{5}

• Item18: 4\frac{1}{10}-2\frac{8}{10}

• Item19: 4-1\frac{4}{3}

• Item20: 4\frac{1}{3}-1\frac{5}{3}

References

Data originated from:

• Tatsuoka, C. (2002). Data analytic methods for latent partially ordered classification models. Journal of the Royal Statistical Society: Series C (Applied Statistics), 51(3), 337–350. doi: 10.1111/1467-9876.00272

• Tatsuoka, K. K. (1984), Analysis of errors in fraction addition and subtraction problems (Final Report for Grant No. NIE-G-81-0002). Urbana: University of Illinois, Computer-Based Education Research Laboratory (CERL).

Data used in:

• Chen, Y., Liu, Y., Culpepper, S. A., & Chen, Y. (2021). Inferring the number of attributes for the exploratory DINA model. Psychometrika, 86(1), 30–64. doi: 10.1007/s11336-021-09750-9

• Chen, Y., Culpepper, S. A., & Liang, F. (2020). A sparse latent class model for cognitive diagnosis. Psychometrika, 1–33. doi: 10.1007/s11336-019-09693-2

• Culpepper, S. A. (2019). Estimating the cognitive diagnosis Q matrix with expert knowledge: Application to the fraction-subtraction dataset. Psychometrika, 84(2), 333–357. doi: 10.1007/s11336-018-9643-8

• Culpepper, S. A., & Chen, Y. (2019). Development and application of an exploratory reduced reparameterized unified model. Journal of Educational and Behavioral Statistics, 44(1), 3–24. doi: 10.3102/1076998618791306

• Chen, Y., Culpepper, S. A., Chen, Y., & Douglas, J. (2018). Bayesian estimation of the dina q matrix. Psychometrika, 83(1), 89–108. doi: 10.1007/s11336-017-9579-4