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Volumn 4, Issue 2, 2009, Pages 265-296

A grade of membership model for rank data

Author keywords

Grade of membership models; Plackett Luce model; Rank data; Surrogate proposal distributions; Voting blocs

Indexed keywords


EID: 77950918529     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/09-BA410     Document Type: Article
Times cited : (50)

References (55)
  • 2
    • 0000764531 scopus 로고
    • Logistic-normal distributions: Some properties and uses
    • 283
    • Aitchison, J. and Shen, S. (1980). "Logistic-normal distributions: Some properties and uses." Biometrika, 67(2): 261-272.
    • (1980) Biometrika , vol.67 , Issue.2 , pp. 261-272
    • Aitchison, J.1    Shen, S.2
  • 4
    • 0002331863 scopus 로고
    • Computer-based Horse Race Handicapping and Wagering Systems: A Report
    • Ziemba, W. T., Lo, V. S., and Haush, D. B. (eds.), San Diego and London: Academic Press. 286
    • Benter, W. (1994). "Computer-based Horse Race Handicapping and Wagering Systems: A Report." In Ziemba, W. T., Lo, V. S., and Haush, D. B. (eds.), Efficiency of Racetrack Betting Markets, 183-198. San Diego and London: Academic Press. 285, 286
    • (1994) Efficiency of Racetrack Betting Markets , vol.285 , pp. 183-198
    • Benter, W.1
  • 6
    • 0001667583 scopus 로고
    • Rank Analysis of Incomplete Block Designs: I. The Method of Paired Comparisons
    • Bradley, R. A. and Terry, M. E. (1952). "Rank Analysis of Incomplete Block Designs: I. The Method of Paired Comparisons." Biometrika, 39: 324-345.
    • (1952) Biometrika , vol.39 , pp. 324-345
    • Bradley, R.A.1    Terry, M.E.2
  • 8
    • 0032273615 scopus 로고    scopus 로고
    • General methods for monitoring convergence of iterative simulations
    • Brooks, S. P. and Gelman, A. (1998). "General methods for monitoring convergence of iterative simulations." J. Comput. Graph. Statist., 7(4): 434-455.
    • (1998) J. Comput. Graph. Statist. , vol.7 , Issue.4 , pp. 434-455
    • Brooks, S.P.1    Gelman, A.2
  • 10
    • 0003019496 scopus 로고    scopus 로고
    • Bayesian inference for Mixtures: the label switching problem
    • Physica-Verlag.
    • Celeux, G. (1998). "Bayesian inference for Mixtures: the label switching problem." In Proceedings Compstat, 227-232. Physica-Verlag.
    • (1998) Proceedings Compstat , pp. 227-232
    • Celeux, G.1
  • 11
    • 2242491935 scopus 로고    scopus 로고
    • Computational and inferential dif-ficulties with mixture posterior distributions
    • Celeux, G., Hurn, M., and Robert, C. P. (2000). "Computational and inferential dif-ficulties with mixture posterior distributions." Journal of the American Statistical Association, 95(451): 957-970.
    • (2000) Journal of the American Statistical Association , vol.95 , Issue.451 , pp. 957-970
    • Celeux, G.1    Hurn, M.2    Robert, C.P.3
  • 12
    • 0000787785 scopus 로고
    • Exploiting Rank Ordered Choice Set Data within the Stochastic Utility Model
    • Chapman, R. and Staelin, R. (1982). "Exploiting Rank Ordered Choice Set Data within the Stochastic Utility Model." Journal of Marketing Research, 19: 288-301.
    • (1982) Journal of Marketing Research , vol.19 , pp. 288-301
    • Chapman, R.1    Staelin, R.2
  • 14
    • 0000917190 scopus 로고
    • Metric methods for analyzing partially ranked data
    • Berlin: Springer-Verlag.
    • Critchlow, D. E. (1985). Metric methods for analyzing partially ranked data. Lecture Notes in Statistics, 34. Berlin: Springer-Verlag.
    • (1985) Lecture Notes in Statistics , vol.34
    • Critchlow, D.E.1
  • 15
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • Series B, With discussion.
    • Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977). "Maximum likelihood from incomplete data via the EM algorithm." Journal of the Royal Statistical Society, Series B, 39(1): 1-38. With discussion.
    • (1977) Journal of the Royal Statistical Society , vol.39 , Issue.1 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 17
    • 34247150414 scopus 로고    scopus 로고
    • Bayesian Estimation of the Grade of Membership Model
    • Bernardo, J., Bayarri, M., Berger, J., Dawid, A., Heckerman, D., Smith, A., and West, M. (eds.), Oxford: Oxford University Press.
    • Erosheva, E. A. (2003). "Bayesian Estimation of the Grade of Membership Model." In Bernardo, J., Bayarri, M., Berger, J., Dawid, A., Heckerman, D., Smith, A., and West, M. (eds.), Bayesian Statistics, 7, 501 -510. Oxford: Oxford University Press.
    • (2003) Bayesian Statistics , vol.7 , pp. 501-510
    • Erosheva, E.A.1
  • 19
    • 52949126188 scopus 로고    scopus 로고
    • Describing disability through individual-level mixture models for multivariate binary data
    • Erosheva, E. A., Fienberg, S. E., and Joutard, C. (2007). "Describing disability through individual-level mixture models for multivariate binary data." The Annals of Applied Statistics, 1(2): 502-537.
    • (2007) The Annals of Applied Statistics , vol.1 , Issue.2 , pp. 502-537
    • Erosheva, E.A.1    Fienberg, S.E.2    Joutard, C.3
  • 22
    • 0035998835 scopus 로고    scopus 로고
    • Model-Based Clustering, Discriminant Analysis, and Density Estimation
    • Fraley, C. and Raftery, A. E. (2002). "Model-Based Clustering, Discriminant Analysis, and Density Estimation." Journal of the American Statistical Association, 97(458): 611-631.
    • (2002) Journal of the American Statistical Association , vol.97 , Issue.458 , pp. 611-631
    • Fraley, C.1    Raftery, A.E.2
  • 23
    • 84972492387 scopus 로고
    • Inference From Iterative Simulation Using Multiple Sequences (Disc: P483-501, 503-511)
    • Gelman, A. and Rubin, D. B. (1992). "Inference From Iterative Simulation Using Multiple Sequences (Disc: P483-501, 503-511)." Statistical Science, 7: 457-472.
    • (1992) Statistical Science , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 25
    • 34247094367 scopus 로고    scopus 로고
    • Ph.D. thesis, Department of Statistics, University of Dublin, Trinity College.
    • Gormley, I. C. (2006). "Statistical Models for Rank Data." Ph.D. thesis, Department of Statistics, University of Dublin, Trinity College.
    • (2006) Statistical Models for Rank Data
    • Gormley, I.C.1
  • 27
    • 33645079160 scopus 로고    scopus 로고
    • Analysis of Irish third-level college applications data, Journal of the Royal Statistical Society
    • Gormley, I. C. and Murphy, T. B. (2006b). "Analysis of Irish third-level college applications data." Journal of the Royal Statistical Society, Series A, 169(2): 361-379.
    • (2006) Series A , vol.169 , Issue.2 , pp. 361-379
    • Gormley, I.C.1    Murphy, T.B.2
  • 28
    • 54949141816 scopus 로고    scopus 로고
    • Exploring Voting Blocs Within the Irish Electorate: A Mixture Modeling Approach
    • To appear.
    • Gormley, I. C. and Murphy, T. B. (2008a). "Exploring Voting Blocs Within the Irish Electorate: A Mixture Modeling Approach." Journal of the American Statistical Association, To appear.
    • (2008) Journal of the American Statistical Association
    • Gormley, I.C.1    Murphy, T.B.2
  • 29
    • 77249156236 scopus 로고    scopus 로고
    • A mixture of experts model for rank data with applications in election studies
    • To appear.
    • Gormley, I. C. and Murphy, T. B. (2008b). "A mixture of experts model for rank data with applications in election studies." The Annals of Applied Statistics, To appear.
    • (2008) The Annals of Applied Statistics
    • Gormley, I.C.1    Murphy, T.B.2
  • 31
    • 0005065531 scopus 로고
    • Book review of 'Statistical Applications Using Fuzzy Sets', by Manton, K. G., Woodbury, M. A. and Corder, L.S
    • Haberman, S. J. (1995). "Book review of 'Statistical Applications Using Fuzzy Sets', by Manton, K. G., Woodbury, M. A. and Corder, L.S." Journal of the American Statistical Association, 90: 1131-1133.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 1131-1133
    • Haberman, S.J.1
  • 32
  • 33
    • 22544479764 scopus 로고    scopus 로고
    • Markov Chain Monte Carlo Methods and the Label Switching Problem in Bayesian Mixture Modeling
    • Jasra, A., Holmes, C. C., and Stephens, D. A. (2005). "Markov Chain Monte Carlo Methods and the Label Switching Problem in Bayesian Mixture Modeling." Statistical Science, 20: 50-67.
    • (2005) Statistical Science , vol.20 , pp. 50-67
    • Jasra, A.1    Holmes, C.C.2    Stephens, D.A.3
  • 34
    • 84867114990 scopus 로고    scopus 로고
    • Discovery of latent patterns with hierarchical Bayesian mixed-membership models and the issue of model choice
    • Poncelet, P., Masseglia, F., and Teisseire, M. (eds.), Pennsylvania: IGI Global.
    • Joutard, C., Airoldi, E., Fienberg, S., and Love, T. (2008). "Discovery of latent patterns with hierarchical Bayesian mixed-membership models and the issue of model choice." In Poncelet, P., Masseglia, F., and Teisseire, M. (eds.), Data Mining Patterns: New Methods and Applications. Pennsylvania: IGI Global.
    • (2008) Data Mining Patterns: New Methods and Applications
    • Joutard, C.1    Airoldi, E.2    Fienberg, S.3    Love, T.4
  • 35
    • 77950023906 scopus 로고    scopus 로고
    • Optimization transfer using surrogate objective functions
    • With discussion, and a rejoinder by Hunter and Lange.
    • Lange, K., Hunter, D. R., and Yang, I. (2000). "Optimization transfer using surrogate objective functions." Journal of Computational and Graphical Statistics, 9(1): 1-59. With discussion, and a rejoinder by Hunter and Lange.
    • (2000) Journal of Computational and Graphical Statistics , vol.9 , Issue.1 , pp. 1-59
    • Lange, K.1    Hunter, D.R.2    Yang, I.3
  • 37
    • 0000827480 scopus 로고
    • Non-null ranking models. I
    • Mallows, C. L. (1957). "Non-null ranking models. I." Biometrika, 44: 114-130.
    • (1957) Biometrika , vol.44 , pp. 114-130
    • Mallows, C.L.1
  • 39
    • 85047042082 scopus 로고    scopus 로고
    • The Making of the Eighth President
    • Marsh, M. and Mitchell, P. (eds.), Boulder, CO: Westview and PSAI Press.
    • Marsh, M. (1999). "The Making of the Eighth President." In Marsh, M. and Mitchell, P. (eds.), How Ireland Voted 1997, 215-242. Boulder, CO: Westview and PSAI Press.
    • (1999) How Ireland Voted 1997 , pp. 215-242
    • Marsh, M.1
  • 42
    • 0016443515 scopus 로고
    • The analysis of permutations
    • Plackett, R. L. (1975). "The analysis of permutations." Applied Statistics, 24(2): 193-202.
    • (1975) Applied Statistics , vol.24 , Issue.2 , pp. 193-202
    • Plackett, R.L.1
  • 43
    • 0034118493 scopus 로고    scopus 로고
    • Inference of Population Structure Using Multilocus Genotype Data
    • Pritchard, J. K., Stephens, M., and Donnelly, P. (2000). "Inference of Population Structure Using Multilocus Genotype Data." Genetics, 155: 945-959.
    • (2000) Genetics , vol.155 , pp. 945-959
    • Pritchard, J.K.1    Stephens, M.2    Donnelly, P.3
  • 44
    • 34247141560 scopus 로고    scopus 로고
    • Esti-mating the Integrated Likelihood via Posterior Simulation Using the Harmonic Mean Identity (with Discussion)
    • Bernardo, J., Bayarri, M., Berger, J., Dawid, A., Heckerman, D., Smith, A., and West, M. (eds.), Oxford: Oxford University Press.
    • Raftery, A. E., Newton, M. A., Satagopan, J. M., and Krivitsky, P. N. (2007). "Esti-mating the Integrated Likelihood via Posterior Simulation Using the Harmonic Mean Identity (with Discussion)." In Bernardo, J., Bayarri, M., Berger, J., Dawid, A., Heckerman, D., Smith, A., and West, M. (eds.), Bayesian Statistics 8, 1-45. Oxford: Oxford University Press.
    • (2007) Bayesian Statistics 8 , pp. 1-45
    • Raftery, A.E.1    Newton, M.A.2    Satagopan, J.M.3    Krivitsky, P.N.4
  • 47
    • 0001630482 scopus 로고
    • Asymptotic Theory for Successive Sampling with Varying Prob-abilities Without Replacement. I
    • Rosén, B. (1972). "Asymptotic Theory for Successive Sampling with Varying Prob-abilities Without Replacement, I." The Annals of Mathematical Statistics, 43(2): 373-397.
    • (1972) The Annals of Mathematical Statistics , vol.43 , Issue.2 , pp. 373-397
    • Rosén, B.1
  • 49
    • 0039898228 scopus 로고    scopus 로고
    • The Electoral System
    • Coakley, J. and Gallagher, M. (eds.), London: Routledge & PSAI Press, 3rd edition.
    • Sinnott, R. (1999). "The Electoral System." In Coakley, J. and Gallagher, M. (eds.), Politics in the Republic of Ireland, 99-126. London: Routledge & PSAI Press, 3rd edition.
    • (1999) Politics in the Republic of Ireland , pp. 99-126
    • Sinnott, R.1
  • 50
    • 0036435040 scopus 로고    scopus 로고
    • Bayesian measures of model complexity and fit, Journal of the Royal Statistical Society
    • Spiegelhalter, D. J., Best, N. G., Carlin, B. P., and van der Linde, A. (2002). "Bayesian measures of model complexity and fit." Journal of the Royal Statistical Society, Series B, 64(4): 583-639.
    • (2002) Series B , vol.64 , Issue.4 , pp. 583-639
    • Spiegelhalter, D.J.1    Best, N.G.2    Carlin, B.P.3    van der Linde, A.4
  • 51
    • 0034354410 scopus 로고    scopus 로고
    • Dealing with label-switching in mixture models, Journal of the Royal Statistical Society
    • Stephens, M. (2000). "Dealing with label-switching in mixture models." Journal of the Royal Statistical Society, Series B, 62(4): 795-810.
    • (2000) Series B , vol.62 , Issue.4 , pp. 795-810
    • Stephens, M.1
  • 52
    • 58149426837 scopus 로고
    • A law of comparative judgement
    • Thurstone, L. L. (1927). "A law of comparative judgement." Psychological Review, 34: 273-286.
    • (1927) Psychological Review , vol.34 , pp. 273-286
    • Thurstone, L.L.1
  • 55
    • 0018100512 scopus 로고
    • Mathematical typology: A grade of membership technique for obtaining disease definition
    • Woodbury, M., Clive, J., and Garson, A. (1978). "Mathematical typology: A grade of membership technique for obtaining disease definition." Computers and Biomedical Research, 11: 277-298.
    • (1978) Computers and Biomedical Research , vol.11 , pp. 277-298
    • Woodbury, M.1    Clive, J.2    Garson, A.3


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