ShadowCAT-package: Package for computerized adaptive testing

In Karel-Kroeze/ShadowCAT: Multidimensional Computer Adaptive Testing with the Shadow Testing Procedure

Description

ShadowCAT finds the best next item given a set of answers to already adminstered items, and updates the estimate of the latent trait theta after each new response. Optionally with Shadow Testing Procedure (Van der Linden, 2000). Item bank parameters are assumed to be known.

Package options

shadowcat

shadowcat is the main function of the package. It finds the key of the best next item given a set of answers to already adminstered items, and an update of the latent trait estimate. It also returns an indicator of whether the test should be continued and a list of answers to the already administered items. The function requires a fixed set of alpha and beta parameters.

simulation

Three functions useful for simulations are included: simulate_testbank for simulation of alpha and beta matrices, simulate_answer for simulation of answers to specific questions from the item bank, and test_shadowcat for simulation of a testing routine with shadowcat

References

• Chang, H.-H, & Ying, Z. (1996). A Global Information Approach to Computerized Adaptive Testing. Applied Psychological Measurement, 20(3), 213 - 229. doi: 10.1177/014662169602000303.

• Mulder, J., & van der Linden, W. J. (2010). Multidimentional Adaptive testing with Kullback-Leibler information item selection. In W. J. van der Linden & C. A. W. Glas (Eds.), Elements of adaptive testing (pp. 77-101). New York: Springer.

• Muraki, E. (1992). A Generized Partial Credit Model: Application of an EM Algorithm. Applied Psychological Measurement, 16(2), 159 - 176. Doi: 10.1177/014662169201600206.

• Samejima, F. (1970). Estimation of latent trait ability using a response pattern of graded scores. Psychometrika, 35(1), 139 - 139. Doi: 10.1007/BF02290599.

• Segall, D. O. (1996). Multidimensional adaptive testing. Psychometrika, 61(2), 331-354. doi:10.1007/BF02294343.

• Segall, D. O. (2000). Principles of multidimensional adaptive testing. In W. J. van der Linden & en C. A. W. Glas (Eds.), Computerized adaptive testing: Theory and practice (pp. 53 - 74). Dordrecht: Kluwer Academic Publishers.

• Tutz, G. (1986). Bradley-Terry-Luce model with an ordered response. Journal of Mathematical Psychology, 30(1), 306 - 316. doi: 10.1016/0022-2496(86)90034-9.

• Van der Linden, W. J. (1999). Multidimensional Adaptive Testing with a Minimum Error-Variance Criterion. Journal of Educational and Behavioral Statistics, 24(4), 398-412. doi:10.3102/10769986024004398.

• Van der Linden, W. J. (2000). Constrained adaptive testing with shadow tests. In W. J. van der Linden & C. A. W. Glas (Eds.), Computerized adaptive testing: Theory and practice (pp. 27-52). Dordrecht, the Netherlands: Kluwer Academic Publishers.

• Wang, C., Chang, H.-H., & Boughton, K. A. (2010). Kullback-Leibler Information and Its Applications in Multi-Dimensional Adaptive Testing. Psychometrika, 76(1), 13-39. doi:10.1007/s11336-010-9186-0.

Karel-Kroeze/ShadowCAT documentation built on May 7, 2019, 12:28 p.m.