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Original Articles

Dynamic paired comparison models with stochastic variances

Pages 673-689 | Published online: 02 Aug 2010

  • BRADLEY , R. A. 1984 . “ Paired comparisons: some basic procedures and examples ” . In Handbook of Statistics , Edited by: KlRSHNAJAH , P. R. and SEN , P. K. Vol. 4 , 299 – 326 . Amsterdam : Elsevier .
  • BRADLEY , R. A. and TERRY , M. E. 1952 . The rank analysis of incomplete block designs, 1. The method of paired comparisons . Biometrika , 39 : 324 – 345 .
  • CAPOBIANCO , E. 1996 . State-space stochastic volatility models: a review of estimation algorithms . Applied Stochastic Models Data Analysis , 12 : 265 – 279 .
  • CRITCHLOW , D. E. and FLIGNER , M. A. 1991 . Paired comparison, triple comparison, and ranking experiments as generalized linear models, and their implementation on GLIM . Psychometrika , 56 : 517 – 533 .
  • DAVID , H. A. 1988 . The Method of Paired Comparisons, , 2nd edn , London : Chapman and Hall .
  • DAVIDSON , R. R. 1970 . On extending the Bradley-Terry model to accommodate ties in paired comparison experiments . Journal of the American Statistical Association , 65 : 317 – 328 .
  • DAVIDSON , R. R. and BEAVER , R. J. 1977 . On extending the Bradley-Terry model to incorporate within-pair order effects . Biometrics , 33 : 693 – 702 .
  • ELO , A. E. 1978 . The Rating of Chess Players Past and Present , New York : Arco Publishing .
  • FAHRMEIR , L. and TUTZ , G. 1994 . Dynamic stochastic models for time-dependent ordered paired comparison systems . Journal of the American Statistical Association , 89 : 1438 – 1449 .
  • GEWEKE , J. , J. O. , BERGER , A. P. and DAWID . 1992 . “ Evaluating the accuracy of sampling-based approaches to calculating posterior moments ” . In Bayesian Statistics 4 , Edited by: BERNARDO , J. M. and SMITH , A. F. M. Oxford : Clarendon Press .
  • GLICKMAN , M. E. 1993 . Paired comparison models with time-varying parameters , Cambridge, , USA : Harvard University Department of Statistics . PhD Dissertation
  • GLICKMAN , M. E. 1999 . Parameter estimation in large dynamic paired comparison experiments . Applied Statistics , 48 : 377 – 394 .
  • GLICKMAN , M. E. and STERN , H. S. 1998 . A state-space model for national football league scores . Journal of the American Statistical Association , 93 : 25 – 35 .
  • GREENBERG , M. G. 1965 . A modification of Thurstone's law of comparative judgment to accommodate a judgment category of "equal" or "no difference" . Psychology Bulletin , 64 : 108 – 112 .
  • HARVILLE , D. 1980 . Predictions for National Football League games via linear-model methodology . Journal of the American Statistical Association , 75 : 516 – 524 .
  • HENERY , R. J. 1992 . An extension to the Thurstone-Mosteller model for chess . The Statistician , 41 : 559 – 567 .
  • JACQUIER , E. , POLSON , N. and ROSSI , P. 1994 . Bayesian analysis of stochastic volatility models (with discussion) . Journal of Business Economics and Statistics , 12 : 371 – 389 .
  • JOE , H. 1990 . Extended use of paired comparison models, with application to chess rankings . Applied Statistics , 39 : 85 – 93 .
  • KARIM , M. and ZEGER , S. L. 1992 . Generalized linear models with random effects; Salamander mating revisited . Biometrics , 48 : 631 – 644 .
  • KEENE , R. and DIVINSKY , N. 1989 . Warriors of the Mind: A Quest far the Supreme Genius of the Chess Board , Brighton : Hardinge Simpole .
  • KNURR-HELD , L. in press . Dynamic rating of sports teams . The Statistician ,
  • MOSTELLER , F. 1951 . Remarks on the method of paired comparisons: I. The least squares solution assuming equal standard deviations and equal correlations . Psychometrika , 16 : 3 – 9 .
  • OH , M. 1997 . A Gibbs sampling approach to Bayesian analysis of generalized linear models for binary data . Computational Statistics , 12 : 431 – 445 .
  • RAO , P. V. and KUPPER , L. L. 1967 . Ties in paired-comparison experiments: a generalization of the Bradley-Terry model . Journal of the American Statistical Association , 62 : 194 – 204 .
  • SALLAS , W. M. and HARVILLE , D. A. 1988 . “ Noninformative priors and restricted maximum likelihood estimation in the Kaiman filter ” . In Bayesian Analysis of Time Series and Dynamic Models , Edited by: SPALL , J. C. 477 – 508 . New York : Marcel Dekker .
  • SHEPHARD , N. and PITT , M. K. 1997 . Likelihood analysis of non-Gaussian measurement time series . Biometrika , 84 : 653 – 667 .
  • SlMONTON , D. K. 1997 . Creative productivity: a predictive and explanatory model of career trajectories and landmarks . Psychological Review , 104 : 66 – 89 .
  • STERN , H. 1992 . Are all linear paired comparison models empirically equivalent? . Mathematical Social Sciences , 23 : 103 – 117 .
  • THURSTONE , L. 1927 . A law of comparative judgment . Psychological Review , 34 : 273 – 286 .
  • UHLIG , H. 1997 . Bayesian vector autoregressions with stochastic volatility . Econometrica , 65 : 59 – 73 .
  • ZEGER , S. L. and KARIM , M. 1991 . Generalized linear models with random effects: a Gibbs sampling approach . Journal of the American Statistical Association , 86 : 79 – 86 .

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