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Remarks on the method of paired comparisons: I. The least squares solution assuming equal standard deviations and equal correlations

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  1. Maryam Aghayerashti & Ehsan Bahrami Samani & Mojtaba Ganjali, 2023. "Bayesian Latent Variable Model of Mixed Correlated Rank and Beta-Binomial Responses with Missing Data for the International Statistical Literacy Project Poster Competition," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 210-250, May.
  2. Donald Martin, 1999. "Paired comparison models applied to the design of the Major League baseball play-offs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(1), pages 69-80.
  3. Éva Orbán-Mihálykó & Csaba Mihálykó & László Koltay, 2019. "A generalization of the Thurstone method for multiple choice and incomplete paired comparisons," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 133-159, March.
  4. Kwan, Ying Keung & Ip, Wai Cheung & Kwan, Patrick, 2000. "A crime index with Thurstone's scaling of crime severity," Journal of Criminal Justice, Elsevier, vol. 28(3), pages 237-244.
  5. Harman, Wyatte L. & Eidman, Vernon R. & Hatch, Roy E. & Claypool, P. L., 1972. "Relating Farm and Operator Characteristics to Multiple Goals," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 4(1), pages 215-220, July.
  6. Elliott, Michael A., 2010. "Selecting numerical scales for pairwise comparisons," Reliability Engineering and System Safety, Elsevier, vol. 95(7), pages 750-763.
  7. Jose Pina-Sánchez & John Paul Gosling, 2020. "Tackling selection bias in sentencing data analysis: a new approach based on a scale of severity," Quality & Quantity: International Journal of Methodology, Springer, vol. 54(3), pages 1047-1073, June.
  8. Jayanti Gupta & Paul Damien, 2002. "Conjugacy class prior distributions on metric‐based ranking models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 433-445, August.
  9. Araki, Kenji & Hirose, Yoshihiro & Komaki, Fumiyasu, 2019. "Paired comparison models with age effects modeled as piecewise quadratic splines," International Journal of Forecasting, Elsevier, vol. 35(2), pages 733-740.
  10. Follett, Lendie & Henderson, Heath, 2023. "A hybrid approach to targeting social assistance," Journal of Development Economics, Elsevier, vol. 160(C).
  11. Lendie Follett & Heath Henderson, 2022. "A hybrid approach to targeting social assistance," Papers 2201.01356, arXiv.org.
  12. Julio González-Díaz & Ruud Hendrickx & Edwin Lohmann, 2014. "Paired comparisons analysis: an axiomatic approach to ranking methods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 139-169, January.
  13. Sahand Negahban & Sewoong Oh & Devavrat Shah, 2017. "Rank Centrality: Ranking from Pairwise Comparisons," Operations Research, INFORMS, vol. 65(1), pages 266-287, February.
  14. Karl Andrew T., 2012. "The Sensitivity of College Football Rankings to Several Modeling Choices," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 8(3), pages 1-44, October.
  15. Lim, Alejandro & Chiang, Chin-Tsang & Teng, Jen-Chieh, 2021. "Estimating robot strengths with application to selection of alliance members in FIRST robotics competitions," Computational Statistics & Data Analysis, Elsevier, vol. 158(C).
  16. Devlin Stephen & Treloar Thomas, 2018. "A network diffusion ranking family that includes the methods of Markov, Massey, and Colley," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 14(3), pages 91-101, September.
  17. Mukhtar Ali, 1998. "Probability models on horse-race outcomes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(2), pages 221-229.
  18. Osei, Prince P. & Davidov, Ori, 2022. "Bayesian linear models for cardinal paired comparison data," Computational Statistics & Data Analysis, Elsevier, vol. 172(C).
  19. Dennie van Dolder & Vincent Buskens, 2014. "Individual Choices in Dynamic Networks: An Experiment on Social Preferences," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-16, April.
  20. Csató, László, 2013. "Rangsorolás páros összehasonlításokkal. Kiegészítések a felvételizői preferencia-sorrendek módszertanához [Paired comparisons ranking. A supplement to the methodology of application-based preferenc," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1333-1353.
  21. Rung-Ching Tsai, 2000. "Remarks on the identifiability of thurstonian ranking models: Case V, case III, or neither?," Psychometrika, Springer;The Psychometric Society, vol. 65(2), pages 233-240, June.
  22. Fagan Francois & Haugh Martin & Cooper Hal, 2019. "The advantage of lefties in one-on-one sports," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 15(1), pages 1-25, March.
  23. Jen-Chieh Teng & Chin-Tsang Chiang & Alvin Lim, 2024. "An effective method for identifying clusters of robot strengths," Computational Statistics, Springer, vol. 39(6), pages 3303-3345, September.
  24. László Csató, 2015. "A graph interpretation of the least squares ranking method," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 51-69, January.
  25. Harold Gulliksen, 1956. "A least squares solution for paired comparisons with incomplete data," Psychometrika, Springer;The Psychometric Society, vol. 21(2), pages 125-134, June.
  26. Murray Thomas A., 2017. "Ranking ultimate teams using a Bayesian score-augmented win-loss model," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 13(2), pages 63-78, June.
  27. Annis David H. & Craig Bruce A., 2005. "Hybrid Paired Comparison Analysis, with Applications to the Ranking of College Football Teams," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 1(1), pages 1-33, October.
  28. Henry Kaiser, 1962. "Scaling a simplex," Psychometrika, Springer;The Psychometric Society, vol. 27(2), pages 155-162, June.
  29. Hennessy Jonathan & Glickman Mark, 2016. "Bayesian optimal design of fixed knockout tournament brackets," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 12(1), pages 1-15, March.
  30. Mark Glickman, 2001. "Dynamic paired comparison models with stochastic variances," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(6), pages 673-689.
  31. Sahand Negahban & Sewoong Oh & Devavrat Shah, 2017. "Rank Centrality: Ranking from Pairwise Comparisons," Operations Research, INFORMS, vol. 65(1), pages 266-287, February.
  32. Centola, Damon & van de Rijt, Arnout, 2015. "Choosing your network: Social preferences in an online health community," Social Science & Medicine, Elsevier, vol. 125(C), pages 19-31.
  33. Michael Fligner & Joseph Verducci, 1990. "Posterior probabilities for a consensus ordering," Psychometrika, Springer;The Psychometric Society, vol. 55(1), pages 53-63, March.
  34. Vincent Buskens & Jeroen Weesie, 2000. "An Experiment On The Effects Of Embeddedness In Trust Situations," Rationality and Society, , vol. 12(2), pages 227-253, May.
  35. Éva Orbán-Mihálykó & Csaba Mihálykó & László Koltay, 2019. "Incomplete paired comparisons in case of multiple choice and general log-concave probability density functions," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(2), pages 515-532, June.
  36. Philip Yu, 2000. "Bayesian analysis of order-statistics models for ranking data," Psychometrika, Springer;The Psychometric Society, vol. 65(3), pages 281-299, September.
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