Description Usage Format Details References
Fraction Subtraction and Addition Assessment Item Responses
1 |
An object of class matrix
(inherits from array
) with 536 rows and 20 columns.
The subjects answered the following assessment items:
Item01
: 5/3 - 3/4
Item02
: 3/4 - 3/8
Item03
: 5/6 - 1/9
Item04
: 3*1/2 - 2*3/2
Item05
: 4*3/5 - 3*4/10
Item06
: 6/7 - 4/7
Item07
: 3 - 2*1/5
Item08
: 2/3 - 2/3
Item09
: 3*7/8 - 2
Item10
: 4*4/12 - 2*7/12
Item11
: 4*1/3 - 2*4/3
Item12
: 11/8 - 1/8
Item13
: 3*3/8 - 2*5/6
Item14
: 3*4/5 - 3*2/5
Item15
: 2 - 1/3
Item16
: 4*5/7 - 1*4/7
Item17
: 7*3/5 - 2*4/5
Item18
: 4*1/10 - 2*8/10
Item19
: 4 - 1*4/3
Item20
: 4*1/3 - 1*5/3
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
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