References

The following papers are main documents that are useful for understanding the latent rank theory (neural test theory).

Amari, S. (1980) Bulletin of Mathematical Biology, 42, 339-364.

Topographic organization of nerve fields.

Bishop, C. M., Svensen, M., & Williams, C. K. I. (1998) Neural Computation, 10, 215-234.

GTM: The generative topographic mapping.

Bock, R. D. (1972) Psychometrika, 37, 29-51.

Estimating item parameters and latent ability when responses are scored in two or more nominal categories.

Bock, R. D., Gibbons, R., & Muraki, E. (1994) Applied Psychological Measurement, 12, 261-280.

Full-information item factor analysis.

Croon, M. (2002) In J. A. Hagenaars & A. L. McCutcheon (Eds.) Applied latent class analysis. Cambridge University Press.

Ordering the classes. (pp. 137-162).

Dempster, A. P., Laird, N. M. & Rubin, D. B. (1977) Journal of the Royal Statistical Society, Series B, 39, 1-38.

Maximum likelihood from incomplete data via the EM algorithm (with discussion).

Hambleton, R. K. & Swaminathan, H. (1985) Kluwer-Nijhoff.

Item response theory.

Hastie, T., Tibshirani, R. & Friedman, J. (2001) Springer-Verlag.

The elements of statistical learning.

Junker, B. W. & Sijtsma, K. (2001) Applied Psychological Measurement, 25, 211-220.

Nonparametric item response theory in action: An overview of the special issue.

Kim, S.-H. & Cohen, A. S. (1998) Applied Psychological Measurement, 22, 131-143.

A comparison of linking and concurrent calibration under item response theory.

Kohonen, T. (1995) Springer.

Self-organizing maps.

Lord, F. M. (1980) Lawrence Erlbaum Associates.

Applications of item response theory to practical testing problems.

Mokken, R. J. & Lewis, C. (1982) Applied Psychological Measurement, 6, 417-430.

A nonparametric approach to the analysis of dichotomous item responses.

Muraki, E. (1992) Applied Psychological Measurement, 16, 159-176.

A generalized partial credit model: Application of and EM algorithm.

Muraki, E., & Carlson, J. E. (1995) Applied Psychological Measurement, 19, 73-90.

Full-information factor analysis for polytomous item responses.

Petrov, A. A. & Anderson, J. R. (2005). Psychological Review, 112, 383-416.

The dynamics of scaling: A memory-based anchor model of category rating and absolute identification.

It was greatly appreciated that Dr. Kenpei Shiina (Waseda University) informed me the paper.

Samejima, F. (1969) Psychometrika Monograph, No.17.

Estimation of latent ability using a response pattern of graded scores.

Shojima, K., Otsu, T., & Taguri, M. (2006) Japanese Journal for Research on Testing, 2, 75-89. (in Japanese with English abstract)

Scholastic achievement structure of The National Center Test 2005 using self-organizing map and full-information maximum likelihood method.

Shojima, K. (2007) Japanese Journal for Research on Testing, 3, 161-178. (in Japanese with English abstract)

Scholastic achievement structure of National Center Test 2006 by self-organizing map.

Sijtsma, K. (1998) Applied Psychological Measurement, 22, 3-32.

Methodology review: Nonparametric IRT approaches to the analysis of dichotomous item scores.

Sijtsma, K. & Mollenar, I. W. (2002) Sage Publications, Inc.

Introduction to nonparametric item response theory.

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