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A new proof for monotone likelihood ratio for the sum of independent bernoulli random variables

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  • Huynh Huynh

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  • Huynh Huynh, 1994. "A new proof for monotone likelihood ratio for the sum of independent bernoulli random variables," Psychometrika, Springer;The Psychometric Society, vol. 59(1), pages 77-79, March.
    • Handle: RePEc:spr:psycho:v:59:y:1994:i:1:p:77-79
    DOI: 10.1007/BF02294266
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    References listed on IDEAS

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    1. Huynh Huynh, 1976. "Statistical consideration of mastery scores," Psychometrika, Springer;The Psychometric Society, vol. 41(1), pages 65-78, March.
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    Cited by:

    1. Klaas Sijtsma & Rob Meijer, 2001. "The person response function as a tool in person-fit research," Psychometrika, Springer;The Psychometric Society, vol. 66(2), pages 191-207, June.
    2. L. Ark & Wicher Bergsma, 2010. "A Note on Stochastic Ordering of the Latent Trait Using the Sum of Polytomous Item Scores," Psychometrika, Springer;The Psychometric Society, vol. 75(2), pages 272-279, June.
    3. Brian Junker, 1998. "Some remarks on Scheiblechner's treatment of isop models," Psychometrika, Springer;The Psychometric Society, vol. 63(1), pages 73-85, March.
    4. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1997. "Stochastic ordering using the latent trait and the sum score in polytomous IRT models," Psychometrika, Springer;The Psychometric Society, vol. 62(3), pages 331-347, September.
    5. Johnson, Matthew S., 2007. "Modeling dichotomous item responses with free-knot splines," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4178-4192, May.
    6. Jesper Tijmstra & David Hessen & Peter Heijden & Klaas Sijtsma, 2013. "Testing Manifest Monotonicity Using Order-Constrained Statistical Inference," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 83-97, January.
    7. Cees Glas, 1999. "Modification indices for the 2-PL and the nominal response model," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 273-294, September.
    8. van der Ark, L. Andries, 2007. "Mokken Scale Analysis in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 20(i11).
    9. repec:jss:jstsof:20:i11 is not listed on IDEAS
    10. David Hessen, 2005. "Constant latent odds-ratios models and the mantel-haenszel null hypothesis," Psychometrika, Springer;The Psychometric Society, vol. 70(3), pages 497-516, September.
    11. Bas Hemker & L. Andries van der Ark & Klaas Sijtsma, 2001. "On measurement properties of continuation ratio models," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 487-506, December.
    12. Wim Linden, 1998. "Stochastic order in dichotomous item response models for fixed, adaptive, and multidimensional tests," Psychometrika, Springer;The Psychometric Society, vol. 63(3), pages 211-226, September.
    13. Bertoli-Barsotti, Lucio, 2003. "An order-preserving property of the maximum likelihood estimates for the Rasch model," Statistics & Probability Letters, Elsevier, vol. 61(1), pages 91-96, January.
    14. Robert Zwitser & Gunter Maris, 2016. "Ordering Individuals with Sum Scores: The Introduction of the Nonparametric Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 39-59, March.
    15. Robert J. Zwitser & Gunter Maris, 2016. "Ordering Individuals with Sum Scores: The Introduction of the Nonparametric Rasch Model," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 39-59, March.
    16. Rudy Ligtvoet, 2012. "An Isotonic Partial Credit Model for Ordering Subjects on the Basis of Their Sum Scores," Psychometrika, Springer;The Psychometric Society, vol. 77(3), pages 479-494, July.
    17. Rudy Ligtvoet, 2022. "Incomplete Tests of Conditional Association for the Assessment of Model Assumptions," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1214-1237, December.
    18. Balmaceda, Felipe & Balseiro, Santiago R. & Correa, José R. & Stier-Moses, Nicolás E., 2016. "Bounds on the welfare loss from moral hazard with limited liability," Games and Economic Behavior, Elsevier, vol. 95(C), pages 137-155.

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