Detecting semi-referees in the Plackett-Luce model

Document Type : Original Article

Authors

1 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

2 Shahrood University of Technology, Iran

Abstract

In this paper, we use the Plackett-Luce model for detecting some referees who judge arbitrariness with inaccuracy or without paying enough attention, which is called Semi-referees. We will investigate our method by simulation and sample of real data.

Keywords

References

[1] R. A. Bradley and M. E. Terry, Rank analysis of incomplete block designs. I. The method of paired comparisons, Biometrika, 39 (1952), pp. 324–345.
[2] L. R. Ford, Jr., Solution of a ranking problem from binary comparisons, Amer. Math. Monthly, 64 (1957), pp. 28–33.
[3] D. R. Hunter, MM algorithms for generalized Bradley-Terry models, Ann. Statist., 32 (2004), pp. 384–406.
[4] E. Zermelo, Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der Wahrscheinlichkeitsrech[1]nung, Math. Z., 29 (1929), pp. 436–460.
[1] R. A. Bradley and M. E. Terry, Rank analysis of incomplete block designs. I. The method of paired comparisons, Biometrika, 39 (1952), pp. 324–345.
[2] L. R. Ford, Jr., Solution of a ranking problem from binary comparisons, Amer. Math. Monthly, 64 (1957), pp. 28–33.
[3] D. R. Hunter, MM algorithms for generalized Bradley-Terry models, Ann. Statist., 32 (2004), pp. 384–406.
[4] E. Zermelo, Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der Wahrscheinlichkeitsrech[1]nung, Math. Z., 29 (1929), pp. 436–460.
AUT Journal of Mathematics and Computing
Volume 4, Issue 2
2023
Pages 137-144

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