IDEAS home Printed from https://ideas.repec.org/a/spr/stpapr/v59y2018i3d10.1007_s00362-016-0793-4.html
   My bibliography  Save this article

Exact test of goodness of fit for binomial distribution

Author

Listed:
  • Benchong Li

    (Xidian University)

  • Liya Fu

    (Xi’an Jiaotong University)

Abstract

In this paper, we consider an exact test of goodness of fit for binomial distribution in sparse data situation. A conventional way is viewing this problem as an independence test problem of a two-way contingency table. We propose an approach to promote the efficiency of the Diaconis–Sturmfels (DS) algorithm when n (sample size) is much larger than m [the first parameter of a binomial distribution B(m, p)] through representing the data and then utilizing minimal Markov bases of the corresponding multinomial model. Simulation results and real data analysis indicate that our method makes the DS algorithm computationally faster.

Suggested Citation

  • Benchong Li & Liya Fu, 2018. "Exact test of goodness of fit for binomial distribution," Statistical Papers, Springer, vol. 59(3), pages 851-860, September.
    • Handle: RePEc:spr:stpapr:v:59:y:2018:i:3:d:10.1007_s00362-016-0793-4
    DOI: 10.1007/s00362-016-0793-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00362-016-0793-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00362-016-0793-4?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sangun Park & Johan Lim, 2015. "On censored cumulative residual Kullback–Leibler information and goodness-of-fit test with type II censored data," Statistical Papers, Springer, vol. 56(1), pages 247-256, February.
    2. Roberto Quinino & Linda Ho & Emílio Suyama, 2013. "Alternative estimator for the parameters of a mixture of two binomial distributions," Statistical Papers, Springer, vol. 54(1), pages 47-69, February.
    3. Akimichi Takemura & Satoshi Aoki, 2004. "Some characterizations of minimal Markov basis for sampling from discrete conditional distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(1), pages 1-17, March.
    4. V. Zardasht & S. Parsi & M. Mousazadeh, 2015. "On empirical cumulative residual entropy and a goodness-of-fit test for exponentiality," Statistical Papers, Springer, vol. 56(3), pages 677-688, August.
    5. Hara, Hisayuki & Takemura, Akimichi & Yoshida, Ruriko, 2010. "On connectivity of fibers with positive marginals in multiple logistic regression," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 909-925, April.
    6. W. M. Patefield, 1981. "An Efficient Method of Generating Random R × C Tables with Given Row and Column Totals," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 30(1), pages 91-97, 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. Mario Fernando Jojoa-Acosta & Sara Signo-Miguel & Maria Begoña Garcia-Zapirain & Mercè Gimeno-Santos & Amaia Méndez-Zorrilla & Chandan J. Vaidya & Marta Molins-Sauri & Myriam Guerra-Balic & Olga Bruna, 2021. "Executive Functioning in Adults with Down Syndrome: Machine-Learning-Based Prediction of Inhibitory Capacity," IJERPH, MDPI, vol. 18(20), pages 1-17, October.

    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. Asok K. Nanda & Shovan Chowdhury, 2021. "Shannon's Entropy and Its Generalisations Towards Statistical Inference in Last Seven Decades," International Statistical Review, International Statistical Institute, vol. 89(1), pages 167-185, April.
    2. 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.
    3. Amit Ghosh & Chanchal Kundu, 2019. "Bivariate extension of (dynamic) cumulative residual and past inaccuracy measures," Statistical Papers, Springer, vol. 60(6), pages 2225-2252, December.
    4. Jafar Ahmadi, 2021. "Characterization of continuous symmetric distributions using information measures of records," Statistical Papers, Springer, vol. 62(6), pages 2603-2626, December.
    5. Borkowf, Craig B., 2004. "An efficient algorithm for generating two-way contingency tables with fixed marginal totals and arbitrary mean proportions, with applications to permutation tests," Computational Statistics & Data Analysis, Elsevier, vol. 44(3), pages 431-449, January.
    6. Kim, Donguk & Agresti, Alan, 1997. "Nearly exact tests of conditional independence and marginal homogeneity for sparse contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 24(1), pages 89-104, March.
    7. Enrique Garcia Tejeda, 2022. "La concentracion espacial de los reportes de disparos al 911 en la Ciudad de Mexico: ¿Comportamiento racional en el uso de armas durante la pandemia Covid-19?," Sobre México. Revista de Economía, Sobre México. Temas en economía, vol. 3(5), pages 69-93.
    8. Mohamed Said Mohamed, 2020. "On Cumulative Tsallis Entropy and Its Dynamic Past Version," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1903-1917, December.
    9. Marco Riani & Anthony C. Atkinson & Francesca Torti & Aldo Corbellini, 2022. "Robust correspondence analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 71(5), pages 1381-1401, November.
    10. Marius Giuclea & Costin-Ciprian Popescu, 2022. "On Geometric Mean and Cumulative Residual Entropy for Two Random Variables with Lindley Type Distribution," Mathematics, MDPI, vol. 10(9), pages 1-10, April.
    11. Fabio Rapallo & Ruriko Yoshida, 2010. "Markov bases and subbases for bounded contingency tables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(4), pages 785-805, August.
    12. repec:jss:jstsof:06:i04 is not listed on IDEAS
    13. 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.
    14. Yukito Iba & Nen Saito & Akimasa Kitajima, 2014. "Multicanonical MCMC for sampling rare events: an illustrative review," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(3), pages 611-645, June.
    15. Li, Jiang-Cheng & Leng, Na & Zhong, Guang-Yan & Wei, Yu & Peng, Jia-Sheng, 2020. "Safe marginal time of crude oil price via escape problem of econophysics," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    16. Hojsgaard, Soren & Thiesson, Bo, 1995. "BIFROST -- Block recursive models induced from relevant knowledge, observations, and statistical techniques," Computational Statistics & Data Analysis, Elsevier, vol. 19(2), pages 155-175, February.
    17. Chen, Jie & Glaz, Joseph, 2002. "Approximations for a conditional two-dimensional scan statistic," Statistics & Probability Letters, Elsevier, vol. 58(3), pages 287-296, July.
    18. Michael Filzmoser & Rudolf Vetschera, 2008. "A Classification of Bargaining Steps and their Impact on Negotiation Outcomes," Group Decision and Negotiation, Springer, vol. 17(5), pages 421-443, September.
    19. G. Rajesh & S. M. Sunoj, 2019. "Some properties of cumulative Tsallis entropy of order $$\alpha $$ α," Statistical Papers, Springer, vol. 60(3), pages 933-943, June.
    20. Ricardo Saldanha Morais & Roberto da Costa Quinino & Emilio Suyama & Linda Lee Ho, 2019. "Estimators of parameters of a mixture of three multinomial distributions based on simple majority results," Statistical Papers, Springer, vol. 60(4), pages 1283-1316, August.
    21. J. S. Allison & L. Santana & N. Smit & I. J. H. Visagie, 2017. "An ‘apples to apples’ comparison of various tests for exponentiality," Computational Statistics, Springer, vol. 32(4), pages 1241-1283, December.

    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:spr:stpapr:v:59:y:2018:i:3:d:10.1007_s00362-016-0793-4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.