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The Rasch Sampler

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  • Verhelst, Norman
  • Hatzinger, Reinhold
  • Mair, Patrick

Abstract

The Rasch sampler is an efficient algorithm to sample binary matrices with given marginal sums. It is a Markov chain Monte Carlo (MCMC) algorithm. The program can handle matrices of up to 1024 rows and 64 columns. A special option allows to sample square matrices with given marginals and fixed main diagonal, a problem prominent in social network analysis. In all cases the stationary distribution is uniform. The user has control on the serial dependency.

Suggested Citation

  • Verhelst, Norman & Hatzinger, Reinhold & Mair, Patrick, 2007. "The Rasch Sampler," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i04).
    • Handle: RePEc:jss:jstsof:v:020:i04
    DOI: http://hdl.handle.net/10.18637/jss.v020.i04
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    References listed on IDEAS

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    1. Yuguo Chen & Persi Diaconis & Susan P. Holmes & Jun S. Liu, 2005. "Sequential Monte Carlo Methods for Statistical Analysis of Tables," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 109-120, March.
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    Cited by:

    1. Clemens Draxler & Johannes Zessin, 2015. "The power function of conditional tests of the Rasch model," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 99(3), pages 367-378, July.
    2. repec:jss:jstsof:20:i01 is not listed on IDEAS
    3. Timo Bechger & Gunter Maris, 2015. "A Statistical Test for Differential Item Pair Functioning," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 317-340, June.
    4. de Leeuw, Jan & Mair, Patrick, 2007. "An Introduction to the Special Volume on "Psychometrics in R"," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i01).

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