IDEAS home Printed from https://ideas.repec.org/a/jss/jstsof/v020i04.html
   My bibliography  Save this article

The Rasch Sampler

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.jstatsoft.org/index.php/jss/article/view/v020i04/v20i04.pdf
    Download Restriction: no

    File URL: https://www.jstatsoft.org/index.php/jss/article/downloadSuppFile/v020i04/RaschSampler_0.8.0.tar.gz
    Download Restriction: no

    File URL: https://www.jstatsoft.org/index.php/jss/article/downloadSuppFile/v020i04/v20i04.R.zip
    Download Restriction: no

    File URL: https://libkey.io/http://hdl.handle.net/10.18637/jss.v020.i04?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:jss:jstsof:20:i01 is not listed on IDEAS
    2. 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.
    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dyer, Martin & Greenhill, Catherine & Kleer, Pieter & Ross, James & Stougie, Leen, 2021. "Sampling hypergraphs with given degrees," Other publications TiSEM 2d323767-8066-4c28-92cc-b, Tilburg University, School of Economics and Management.
    2. Zhang, Linjun & Small, Michael & Judd, Kevin, 2015. "Exactly scale-free scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 182-197.
    3. Ian Dinwoodie & Kruti Pandya, 2015. "Exact tests for singular network data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(4), pages 687-706, August.
    4. Francesco Bartolucci & Claudia Pigini & Francesco Valentini, 2024. "MCMC conditional maximum likelihood for the two-way fixed-effects logit," Econometric Reviews, Taylor & Francis Journals, vol. 43(6), pages 379-404, July.
    5. Jing Xi & Ruriko Yoshida & David Haws, 2013. "Estimating the number of zero-one multi-way tables via sequential importance sampling," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(4), pages 763-783, August.
    6. Clemens Draxler, 2018. "Bayesian conditional inference for Rasch models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(2), pages 245-262, April.
    7. Stephen DeSalvo & James Zhao, 2020. "Random sampling of contingency tables via probabilistic divide-and-conquer," Computational Statistics, Springer, vol. 35(2), pages 837-869, June.
    8. Ogawa, Mitsunori & Takemura, Akimichi, 2012. "Markov bases for typical block effect models of two-way contingency tables," Journal of Multivariate Analysis, Elsevier, vol. 112(C), pages 219-229.
    9. Sanda Micula, 2015. "Statistical Computer Simulations And Monte Carlo Methods," Romanian Economic Business Review, Romanian-American University, vol. 9(2), pages 384-394, December.
    10. George Fishman, 2014. "Counting subsets of contingency tables," Computational Statistics, Springer, vol. 29(1), pages 159-187, February.
    11. Yuguo Chen & Dylan Small, 2005. "Exact tests for the rasch model via sequential importance sampling," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 11-30, March.
    12. David Kahle & Ruriko Yoshida & Luis Garcia-Puente, 2018. "Hybrid schemes for exact conditional inference in discrete exponential families," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(5), pages 983-1011, October.
    13. Radislav Vaisman & Zdravko Botev & Ad Ridder, 2013. "Sequential Monte Carlo for Counting Vertex Covers in General Graphs," Tinbergen Institute Discussion Papers 13-122/III, Tinbergen Institute.
    14. Radislav Vaisman & Dirk P. Kroese, 2017. "Stochastic Enumeration Method for Counting Trees," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 31-73, March.
    15. Rivest, Louis-Paul, 2021. "Limiting properties of an equiprobable sampling scheme for 0–1 matrices," Statistics & Probability Letters, Elsevier, vol. 172(C).
    16. repec:jss:jstsof:20:i04 is not listed on IDEAS
    17. repec:jss:jstsof:17:i07 is not listed on IDEAS
    18. Norman Verhelst, 2008. "An Efficient MCMC Algorithm to Sample Binary Matrices with Fixed Marginals," Psychometrika, Springer;The Psychometric Society, vol. 73(4), pages 705-728, December.
    19. Radislav Vaisman & Ofer Strichman & Ilya Gertsbakh, 2015. "Model Counting of Monotone Conjunctive Normal Form Formulas with Spectra," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 406-415, May.
    20. Drew Creal, 2012. "A Survey of Sequential Monte Carlo Methods for Economics and Finance," Econometric Reviews, Taylor & Francis Journals, vol. 31(3), pages 245-296.
    21. Caffo, Brian, 2006. "Exact Hypothesis Tests for Log-linear Models with exactLoglinTest," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 17(i07).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:jss:jstsof:v:020:i04. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christopher F. Baum (email available below). General contact details of provider: http://www.jstatsoft.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.