Data analytic methods for latent partially ordered classification models. (English) Zbl 1111.62381
Summary: A general framework is presented for data analysis of latent finite partially ordered classification models. When the latent models are complex, data analytic validation of model fits and of the analysis of the statistical properties of the experiments is essential for obtaining reliable and accurate results. Empirical results are analysed from an application to cognitive modelling in educational testing. It is demonstrated that sequential analytic methods can dramatically reduce the amount of testing that is needed to make accurate classifications.
MSC:
| 62P15 | Applications of statistics to psychology |
References:
| [1] | Chang H.-H., Appl. Psychol. Measmnt 20 pp 213– (1996) |
| [2] | Davey B. A., Introduction to Lattices and Order (1990) · Zbl 0701.06001 |
| [3] | Diabetes Control and Complications Research Group, Ann. Intern. Med. 124 pp 379– (1996) · doi:10.7326/0003-4819-124-4-199602150-00001 |
| [4] | DOI: 10.1037//0033-295X.97.2.201 · doi:10.1037//0033-295X.97.2.201 |
| [5] | Ferguson T., Mathematical Statistics: a Decision Theoretic Approach (1967) · Zbl 0153.47602 |
| [6] | Gelfand A., Markov Chain Monte Carlo in Practice (1996) |
| [7] | Gelfand A., J. Am. Statist. Ass. 87 pp 523– (1992) |
| [8] | Geweke J., Bayesian Statistics 4 (1992) · Zbl 1093.62107 |
| [9] | Jaeger J., Psychpharm. Bull. 28 pp 367– (1992) |
| [10] | Lord F., Applications of Item Response Theory to Practical Testing Problems (1980) |
| [11] | Macready G. B., Psychometrika 57 pp 71– (1992) |
| [12] | Raftery A., Markov Chain Monte Carlo in Practice (1996) |
| [13] | Tatsuoka C., PhD Dissertation (1996) |
| [14] | Tatsuoka C., Technical Report 99-05 (1999) |
| [15] | Tatsuoka K., Diagnostic Monitoring of Skill and Knowledge Acquisition pp 453– (1990) |
| [16] | Nichols P., Cognitively Diagnostic Assessments pp 327– (1995) |
| [17] | Tatsuoka K., Psychometrika 52 pp 193– (1987) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
