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1

Ra, Jang W. "Chainwise Paired Comparisons." Decision Sciences 30, no. 2 (1999): 581–99. http://dx.doi.org/10.1111/j.1540-5915.1999.tb01623.x.

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2

Nagasawa, Shin'ya. "Proposal of "Cyclic Paired Comparisons". (7). Separating Complete Paired Comparisons." Japanese journal of ergonomics 33, Supplement (1997): 378–79. http://dx.doi.org/10.5100/jje.33.supplement_378.

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3

Zaslavskii, A. A. "Geometry of paired comparisons." Automation and Remote Control 68, no. 3 (2007): 539–44. http://dx.doi.org/10.1134/s0005117907030137.

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4

Watson, Rex, and H. A. David. "The Method of Paired Comparisons." Mathematical Gazette 73, no. 464 (1989): 161. http://dx.doi.org/10.2307/3619702.

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5

Christensen, Ronald. "The Method of Paired Comparisons." Technometrics 31, no. 4 (1989): 495–96. http://dx.doi.org/10.1080/00401706.1989.10488612.

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6

Gabrielsen, Gorm. "Paired comparisons and designed experiments." Food Quality and Preference 11, no. 1-2 (2000): 55–61. http://dx.doi.org/10.1016/s0950-3293(99)00064-6.

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7

Clarke, G. M., and H. A. David. "The Method of Paired Comparisons." Statistician 38, no. 4 (1989): 307. http://dx.doi.org/10.2307/2349065.

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8

Joe, Harry. "Majorization, Entropy and Paired Comparisons." Annals of Statistics 16, no. 2 (1988): 915–25. http://dx.doi.org/10.1214/aos/1176350843.

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9

Jolliffe, F. R., and H. A. David. "The Method of Paired Comparisons." Journal of the Royal Statistical Society. Series A (Statistics in Society) 152, no. 2 (1989): 258. http://dx.doi.org/10.2307/2982926.

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10

Fageot, Julien, Sadegh Farhadkhani, Lê-Nguyên Hoang, and Oscar Villemaud. "Generalized Bradley-Terry Models for Score Estimation from Paired Comparisons." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 18 (2024): 20379–86. http://dx.doi.org/10.1609/aaai.v38i18.30020.

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Many applications, e.g. in content recommendation, sports, or recruitment, leverage the comparisons of alternatives to score those alternatives. The classical Bradley-Terry model and its variants have been widely used to do so. The historical model considers binary comparisons (victory/defeat) between alternatives, while more recent developments allow finer comparisons to be taken into account. In this article, we introduce a probabilistic model encompassing a broad variety of paired comparisons that can take discrete or continuous values. We do so by considering a well-behaved subset of the e
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11

Nagasawa, S. "Proposal of “Cyclic Paired Comparisons” (1)." Japanese journal of ergonomics 27, Supplement (1991): 230–31. http://dx.doi.org/10.5100/jje.27.supplement_230.

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12

Nagasawa, Shin'ya. "Proposal of “Cyclic Paired Comparisons” (2)." Japanese journal of ergonomics 28, Supplement (1992): 250–51. http://dx.doi.org/10.5100/jje.28.supplement_250.

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13

Nagasawa, Shin'ya. "Proposal of “Cyclic Paired Comparisons” (3)." Japanese journal of ergonomics 29, Supplement (1993): 208–9. http://dx.doi.org/10.5100/jje.29.supplement_208.

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14

Nagasawa, Shin'ya. "Proposal of “Cyclic Paired Comparisons” (4)." Japanese journal of ergonomics 30, Supplement (1994): 362–63. http://dx.doi.org/10.5100/jje.30.supplement_362.

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15

Nagasawa, Shin'ya. "Proposal of “Cyclic Paired Comparisons” (5)." Japanese journal of ergonomics 31, Supplement (1995): 524–25. http://dx.doi.org/10.5100/jje.31.supplement_524.

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16

Nagasawa, Shin'ya. "Proposal of “Cyclic Paired Comparisons” (6)." Japanese journal of ergonomics 32, Supplement (1996): 248–49. http://dx.doi.org/10.5100/jje.32.supplement_248.

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17

NAGASAWA, Shin'ya. "PROPOSAL OF “THE CYCLIC PAIRED COMPARISONS”." KANSEI Engineering International 3, no. 4 (2002): 37–42. http://dx.doi.org/10.5057/kei.3.4_37.

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18

Dvoenko, S. D. "Recovering Missing Values of Paired Comparisons." Pattern Recognition and Image Analysis 32, no. 3 (2022): 522–27. http://dx.doi.org/10.1134/s1054661822030099.

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19

Durrenberger, E. Paul. "Using Paired Comparisons to Measure Reciprocity." Field Methods 15, no. 3 (2003): 271–88. http://dx.doi.org/10.1177/1525822x03255020.

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20

Miranda, E. "Improving subjective estimates using paired comparisons." IEEE Software 18, no. 1 (2001): 87–91. http://dx.doi.org/10.1109/52.903173.

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21

Tritchler, David, and Gina Lockwood. "Modelling the reliability of paired comparisons." Journal of Mathematical Psychology 35, no. 3 (1991): 277–93. http://dx.doi.org/10.1016/0022-2496(91)90049-y.

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22

Wijk, Arjen J., and Johan Hoogstraten. "Paired comparisons of sensory pain adjectives." European Journal of Pain 8, no. 4 (2004): 293–97. http://dx.doi.org/10.1016/j.ejpain.2003.10.002.

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23

STERN, HAL. "A continuum of paired comparisons models." Biometrika 77, no. 2 (1990): 265–73. http://dx.doi.org/10.1093/biomet/77.2.265.

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24

Basak, Prasanta. "Some Combinatorial Aspects of Paired Comparisons." American Journal of Mathematical and Management Sciences 13, no. 1-2 (1993): 1–30. http://dx.doi.org/10.1080/01966324.1993.10737343.

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25

Lockwood, Michael. "Integrated value assessment using paired comparisons." Ecological Economics 25, no. 1 (1998): 73–87. http://dx.doi.org/10.1016/s0921-8009(97)00053-0.

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26

Miranda, Eduardo, Pierre Bourque, and Alain Abran. "Sizing user stories using paired comparisons." Information and Software Technology 51, no. 9 (2009): 1327–37. http://dx.doi.org/10.1016/j.infsof.2009.04.003.

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27

Pulkkinen, Urho. "Bayesian analysis of consistent paired comparisons." Reliability Engineering & System Safety 43, no. 1 (1994): 1–16. http://dx.doi.org/10.1016/0951-8320(94)90091-4.

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28

Csató, László. "An impossibility theorem for paired comparisons." Central European Journal of Operations Research 27, no. 2 (2018): 497–514. http://dx.doi.org/10.1007/s10100-018-0572-5.

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29

Nagasawa, Shin'ya. "Improvement of Modified Scheffe's Method for Paired Comparisons. (7). Including Paired Comparisons between the same samples." Japanese journal of ergonomics 33, Supplement (1997): 376–77. http://dx.doi.org/10.5100/jje.33.supplement_376.

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30

DeSarbo, Wayne S. "A comparison of probabilistic unfolding theories for paired comparisons data." Journal of Classification 9, no. 1 (1992): 167–68. http://dx.doi.org/10.1007/bf02618481.

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31

van Blokland-Vogelesang, A. W. "A comparison of probabilistic unfolding theories for paired comparisons data." Acta Psychologica 79, no. 1 (1992): 88–91. http://dx.doi.org/10.1016/0001-6918(91)90077-d.

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32

Jameel, Abbood M. "Developing Multiple Paired Comparisons Model for Analysis of Variance Technique." Cihan University-Erbil Journal of Humanities and Social Sciences 9, no. 1 (2025): 183–87. https://doi.org/10.24086/cuejhss.v9n1y2025.pp183-187.

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A class of multiple paired comparison models can be developed for taste-testing experiments to evaluate several objects on a seven-point preference scale. This allows for calculating a preference score for each object using the two-way analysis of variance technique (ANOVAT). The primary objective of this research is to distinguish between different types of objects or items by calculating degrees of preference (scores), denoted as S j. These objects, represented by L, are evaluated through paired comparisons. Specifically, we consider six types of potato chips, labeled as A, B, C, D, E, and F
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33

Rossman, Allan J., and Herbert A. David. "The Method of Paired Comparisons (2nd ed.)." Journal of the American Statistical Association 84, no. 406 (1989): 621. http://dx.doi.org/10.2307/2289964.

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34

Dayton, C. Mitchell. "Information Criteria for the Paired-Comparisons Problem." American Statistician 52, no. 2 (1998): 144. http://dx.doi.org/10.2307/2685473.

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35

McGuire, Dennis P., and Mark L. Davison. "Testing group differences in paired comparisons data." Psychological Bulletin 110, no. 1 (1991): 171–82. http://dx.doi.org/10.1037/0033-2909.110.1.171.

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36

MARPLES, RICHARD R., and ALBERT M. KLIGMAN. "Limitations of paired comparisons of topical drugs." British Journal of Dermatology 88, no. 1 (2006): 61–68. http://dx.doi.org/10.1111/j.1365-2133.1973.tb06673.x.

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37

Bechtel, Gordon G., Chezy Ofir, and André I. Khuri. "Replicated paired comparisons at the individual level." British Journal of Mathematical and Statistical Psychology 48, no. 1 (1995): 115–27. http://dx.doi.org/10.1111/j.2044-8317.1995.tb01053.x.

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38

Dayton, C. Mitchell. "Information Criteria for the Paired-Comparisons Problem." American Statistician 52, no. 2 (1998): 144–51. http://dx.doi.org/10.1080/00031305.1998.10480554.

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39

Yao, Yi-Ching, and Gordon Simons. "the Bradley-Terry model for paired comparisons." Annals of Statistics 27, no. 3 (1999): 1041–60. http://dx.doi.org/10.1214/aos/1018031267.

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40

Ip, Wai Cheung, Lai Lin Chiu, and Ying Keung Kwan. "Construction of Health Indices Using Paired Comparisons." Social Indicators Research 67, no. 3 (2004): 353–73. http://dx.doi.org/10.1023/b:soci.0000032345.45450.b3.

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41

Pulkin, I. S., and A. V. Tatarintsev. "Extremum in the problem of paired comparisons." Russian Technological Journal 11, no. 2 (2023): 84–91. http://dx.doi.org/10.32362/2500-316x-2023-11-2-84-91.

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Objectives. An analysis of the problem of evaluating alternatives based on the results of expert paired comparisons is presented. The importance and relevance of this task is due to its numerous applications in a variety of fields, whether in the technical and natural sciences or in the humanities, ranging from construction to politics. In such contexts, the problem frequently arises concerning how to calculate an objective ratings vector based on expert evaluations. In terms of a mathematical formulation, the problem of finding the vector of objective ratings can be reduced to approximating t
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42

Dvoenko, S. D. "On New Clustering Possibilities of Paired Comparisons." Pattern Recognition and Image Analysis 34, no. 4 (2024): 930–35. https://doi.org/10.1134/s1054661824700895.

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43

Aslam, Muhammad, and Syed Haider Shah. "Lindley-Shannon Information for Comparison of Priors Under Paired Comparisons Model." Pakistan Journal of Statistics and Operation Research 11, no. 3 (2015): 317. http://dx.doi.org/10.18187/pjsor.v11i3.779.

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44

Strong, Lisa L., and Martin S. Fiebert. "Using Paired Comparisons to Assess Maslow's Hierarchy of Needs." Perceptual and Motor Skills 64, no. 2 (1987): 492–94. http://dx.doi.org/10.2466/pms.1987.64.2.492.

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Based on Maslow's motivational theory, a self-report inventory utilizing a modified paired-comparison format was developed to assess need potencies within individuals. This method permits both multiple comparisons of items from each need level with each other and an assessment of the intensity levels of each item. 59 individuals participated in the study. The construct validity of the inventory was evaluated by examining the consistency of items designed to measure the same need. Correlations ranged between .52 and .65. The mean potencies of each need level were determined; an analysis of vari
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45

German, O. V., Ju O. German, and М. V. Kuznetsov. "Evaluation of Control Priorities Based on a Matrix of Paired Comparisons." Doklady BGUIR 20, no. 2 (2022): 62–70. http://dx.doi.org/10.35596/1729-7648-2022-20-2-62-70.

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The article contains a description of the model and approach for determining the weights of controls (other objects) based on a matrix of pairwise comparisons. The initial data in the matrix of paired comparisons implicitly specify interval estimates for comparison of controls. Interval estimates can be constructed relatively easily using Harrington's fuzzy metric scale. A heuristic method for determining the priorities of controls is proposed, which seeks to obtain weights (priorities) of controls that deviate minimally from the boundary values of the weight intervals.The latter are easy to f
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46

Buchanan, Bruce, Moshe Givon, and Arieh Goldman. "Measurement of Discrimination Ability in Taste Tests: An Empirical Investigation." Journal of Marketing Research 24, no. 2 (1987): 154–63. http://dx.doi.org/10.1177/002224378702400202.

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For purposes of product testing, several tasks have been used to measure subjects’ discrimination ability (i.e., their ability to distinguish between two slightly different product formulations). Three of the more common tasks are repeat paired comparisons, triangle tests, and preference rankings. In this empirical study, the properties of these three tasks are compared. The repeat paired comparison test is found to be the most sensitive discrimination task, in that subjects demonstrate the greatest ability in distinguishing between formulations, and preference ranking is the least sensitive.
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47

No authorship indicated. "Review of A Comparison of Probabilistic Unfolding Theories for Paired Comparisons Data." Contemporary Psychology: A Journal of Reviews 36, no. 8 (1991): 728–30. http://dx.doi.org/10.1037/030100.

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48

NAGASAWA, Shin'ya. "IMPROVEMENT OF THE SCHEFFÉ'S METHOD FOR PAIRED COMPARISONS." KANSEI Engineering International 3, no. 3 (2002): 47–56. http://dx.doi.org/10.5057/kei.3.3_47.

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49

Totsenko, Vitaliy G. "Method of Paired Comparisons Using Feedback with Expert." Journal of Automation and Information Sciences 31, no. 7-9 (1999): 86–96. http://dx.doi.org/10.1615/jautomatinfscien.v31.i7-9.480.

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50

Chinyio, Ezekiel A., Paul O. Olomolaiye, and Pauline Corbett. "Quantification of Construction Clients' Needs through Paired Comparisons." Journal of Management in Engineering 14, no. 1 (1998): 87–92. http://dx.doi.org/10.1061/(asce)0742-597x(1998)14:1(87).

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