Dynamic Bradley-Terry modelling of sports tournaments

In the course of national sports tournaments, usually lasting several months, it is expected that the abilities of teams taking part in the tournament will change over time. A dynamic extension of the Bradley—Terry model for paired comparison data is introduced to model the outcomes of sporting cont...

Full description

Saved in:

Bibliographic Details
Published in	Applied statistics Vol. 62; no. 1; pp. 135 - 150
Main Authors	Cattelan, Manuela, Varin, Cristiano, Firth, David
Format	Journal Article
Language	English
Published	Oxford, UK Blackwell Publishing Ltd 01.01.2013 Wiley-Blackwell Oxford University Press
Subjects	Ability Applications Applied statistics Ball games Basketball Bradley Combinatorics Combinatorics. Ordered structures Cumulative logit model Data smoothing Dynamic modeling Dynamics Exact sciences and technology Exponentially weighted moving average process Football Forecasting models Graph theory Italy League of Nations Linear inference, regression Mathematics Modeling Modelling Multivariate analysis Overtime Paired comparisons Parametric models Predictive modeling Probabilities Probability and statistics Professional sports Sciences and techniques of general use Seasons Soccer Sport games Sports Sports tournaments Statistical analysis Statistics Studies Summaries Teams Terry model Time series Tournaments Tournaments & championships Cumulative logit model Sports tournaments Paired comparison Exponentially weighted moving average process Bradley-Terry model Statistical association Moving average processes Multiple comparison Multivariate analysis Statistical regression Paired comparisons Logit model Tournament
Online Access	Get full text
ISSN	0035-9254 1467-9876 1467-9876
DOI	10.1111/j.1467-9876.2012.01046.x

Cover

Abstract	In the course of national sports tournaments, usually lasting several months, it is expected that the abilities of teams taking part in the tournament will change over time. A dynamic extension of the Bradley—Terry model for paired comparison data is introduced to model the outcomes of sporting contests, allowing for time varying abilities. It is assumed that teams' home and away abilities depend on past results through exponentially weighted moving average processes. The model proposed is applied to sports data with and without tied contests, namely the 2009—2010 regular season of the National Basketball Association tournament and the 2008—2009 Italian Serie A football season.
AbstractList	In the course of national sports tournaments, usually lasting several months, it is expected that the abilities of teams taking part in the tournament will change over time. A dynamic extension of the Bradley—Terry model for paired comparison data is introduced to model the outcomes of sporting contests, allowing for time varying abilities. It is assumed that teams' home and away abilities depend on past results through exponentially weighted moving average processes. The model proposed is applied to sports data with and without tied contests, namely the 2009—2010 regular season of the National Basketball Association tournament and the 2008—2009 Italian Serie A football season. In the course of national sports tournaments, usually lasting several months, it is expected that the abilities of teams taking part in the tournament will change over time. A dynamic extension of the Bradley-Terry model for paired comparison data is introduced to model the outcomes of sporting contests, allowing for time varying abilities. It is assumed that teams' home and away abilities depend on past results through exponentially weighted moving average processes. The model proposed is applied to sports data with and without tied contests, namely the 2009-2010 regular season of the National Basketball Association tournament and the 2008-2009 Italian Serie A football season. [PUBLICATION ABSTRACT] In the course of national sports tournaments, usually lasting several months, it is expected that the abilities of teams taking part in the tournament will change over time. A dynamic extension of the Bradley-Terry model for paired comparison data is introduced to model the outcomes of sporting contests, allowing for time varying abilities. It is assumed that teams' home and away abilities depend on past results through exponentially weighted moving average processes. The model proposed is applied to sports data with and without tied contests, namely the 2009– ;2010 regular season of the National Basketball Association tournament and the 2008-2009 Italian Serie A football season. Reprinted by permission of Blackwell Publishers
Author	Varin, Cristiano Firth, David Cattelan, Manuela
Author_xml	– sequence: 1 givenname: Manuela surname: Cattelan fullname: Cattelan, Manuela – sequence: 2 givenname: Cristiano surname: Varin fullname: Varin, Cristiano – sequence: 3 givenname: David surname: Firth fullname: Firth, David
BackLink	http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=26731620$$DView record in Pascal Francis
BookMark	eNqVkd-L1DAQgIOc4N7pnyAURPClvcmPpsmLoKveiaeie-JjyLappHaTNely2__e9LqscE_rPCSB-WaSb3KOzpx3BqEMQ4FTXHYFZrzKpah4QQCTAjAwXuwfocUxcYYWALTMJSnZE3QeYwcpErdA5bvR6Y2ts7dBN70Z81sTwphtfGP63rpfmW-zuPVhiNngdyGxxg3xKXrc6j6aZ4f9Av348P52eZ3ffL36uHxzk9clEzw3hgis17WhQjBSNWu5XnOKMaWSpLUy3DRCgK4Yw4SCaDltpQQNbasbaCW9QHLuu3NbPd7pvlfbYDc6jAqDmvxVpyZNNWmqyV_d-6t9qn01126D_7MzcVAbG-tkpZ3xu6gwEQw4YVCdglLOmJAkoS8eoN39WPqJopILkLJM1MsDpWOt-zZoV9t4fDvhFcWcQOJez1wdfIzBtKq2gx6sd0PQtj9FUjxo8B_zOdx9Z9O_n1ynvq9Wy-mYGjyfG3Rx8OGfHKUcpMApn895GwezP-Z1-K2Sf1Wqn1-uVPmNf16x6pMC-hel1dRK
CODEN	APSTAG
CitedBy_id	crossref_primary_10_1016_j_ijforecast_2020_11_008 crossref_primary_10_1080_03610918_2024_2349174 crossref_primary_10_1007_s00180_022_01278_5 crossref_primary_10_17644_sbd_335508 crossref_primary_10_1109_TASLP_2023_3313423 crossref_primary_10_1007_s00180_023_01442_5 crossref_primary_10_1002_sta4_70028 crossref_primary_10_1214_17_STS628 crossref_primary_10_1111_stan_12087 crossref_primary_10_1214_23_AOAS1832 crossref_primary_10_1093_imaiai_iaad029 crossref_primary_10_1214_24_AOAS1966 crossref_primary_10_3390_axioms12060575 crossref_primary_10_1089_big_2018_0076 crossref_primary_10_1093_jrsssc_qlae075 crossref_primary_10_2139_ssrn_3004605 crossref_primary_10_1177_1471082X18810971 crossref_primary_10_1214_18_AOAS1165 crossref_primary_10_1515_jqas_2023_0004 crossref_primary_10_1140_epjds_s13688_024_00448_3 crossref_primary_10_2139_ssrn_2464964 crossref_primary_10_1002_sta4_722 crossref_primary_10_1080_10618600_2022_2085727 crossref_primary_10_3934_math_2023159 crossref_primary_10_1080_10618600_2023_2177299 crossref_primary_10_1007_s00180_024_01585_z crossref_primary_10_1007_s10182_014_0239_z crossref_primary_10_1016_j_ijforecast_2019_08_009 crossref_primary_10_1515_jqas_2016_0097 crossref_primary_10_1007_s10994_018_5741_1 crossref_primary_10_1515_jqas_2016_0093 crossref_primary_10_1093_imaiai_iaae020 crossref_primary_10_1016_j_evolhumbehav_2017_11_004 crossref_primary_10_1016_j_csda_2021_107181 crossref_primary_10_1093_imaman_dpx013 crossref_primary_10_1002_sam_11436 crossref_primary_10_1140_epjds_s13688_024_00492_z crossref_primary_10_3390_app12136337 crossref_primary_10_1016_j_joi_2017_09_003 crossref_primary_10_1007_s10182_022_00452_w crossref_primary_10_1515_jqas_2019_0071 crossref_primary_10_3390_app10082904 crossref_primary_10_3390_d14100858 crossref_primary_10_1177_1471082X18808630 crossref_primary_10_1214_22_BA1324 crossref_primary_10_1177_1471082X18798426 crossref_primary_10_1002_sta4_626 crossref_primary_10_1007_s10182_014_0237_1 crossref_primary_10_1080_16583655_2020_1732642 crossref_primary_10_1515_jqas_2021_0035 crossref_primary_10_1007_s10257_022_00560_9 crossref_primary_10_1214_12_STS396 crossref_primary_10_1016_j_econmod_2023_106441 crossref_primary_10_3390_app14178023 crossref_primary_10_1080_02664763_2024_2436608 crossref_primary_10_3389_fpsyg_2022_881558
Cites_doi	10.1111/j.1541-0420.2009.01191.x 10.1002/0471249688 10.1080/01621459.1993.10476337 10.1111/1467-9884.00244 10.1037/h0070288 10.1093/biomet/91.1.65 10.1007/BF02313422 10.1111/1467-9884.00243 10.1111/1467-9884.00308 10.1002/for.877 10.1198/016214503388619058 10.1111/j.1467-9574.1982.tb00782.x 10.1080/01621459.1998.10474084 10.1137/1.9780898718386 10.1080/01621459.1980.10477504 10.1016/j.ijforecast.2003.09.015 10.2307/2348900 10.1080/01621459.1994.10476882 10.1111/j.1467-9574.2007.00368.x 10.2307/2348899 10.1111/1467-9884.00236 10.1111/1467-9884.00366 10.1175/1520-0493(1950)078<0001:VOFEIT>2.0.CO;2
ContentType	Journal Article
Copyright	Copyright © 2013 The Royal Statistical Society and Blackwell Publishing Ltd. 2012 Royal Statistical Society 2014 INIST-CNRS
Copyright_xml	– notice: Copyright © 2013 The Royal Statistical Society and Blackwell Publishing Ltd. – notice: 2012 Royal Statistical Society – notice: 2014 INIST-CNRS
DBID	BSCLL 24P AAYXX CITATION IQODW 7SC 8BJ 8FD FQK JBE JQ2 L7M L~C L~D ADTOC UNPAY
DOI	10.1111/j.1467-9876.2012.01046.x
DatabaseName	Istex Wiley Online Library Open Access CrossRef Pascal-Francis Computer and Information Systems Abstracts International Bibliography of the Social Sciences (IBSS) Technology Research Database International Bibliography of the Social Sciences International Bibliography of the Social Sciences ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Unpaywall for CDI: Periodical Content Unpaywall
DatabaseTitle	CrossRef International Bibliography of the Social Sciences (IBSS) Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest Computer Science Collection Computer and Information Systems Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional
DatabaseTitleList	Computer and Information Systems Abstracts CrossRef International Bibliography of the Social Sciences (IBSS) International Bibliography of the Social Sciences (IBSS)
Database_xml	– sequence: 1 dbid: 24P name: Wiley Online Library Open Access url: https://authorservices.wiley.com/open-science/open-access/browse-journals.html sourceTypes: Publisher – sequence: 2 dbid: UNPAY name: Unpaywall url: https://proxy.k.utb.cz/login?url=https://unpaywall.org/ sourceTypes: Open Access Repository
DeliveryMethod	fulltext_linktorsrc
Discipline	Statistics Computer Science Mathematics
EISSN	1467-9876
EndPage	150
ExternalDocumentID	10.1111/j.1467-9876.2012.01046.x 2844422071 26731620 10_1111_j_1467_9876_2012_01046_x RSSC1046 23360981 ark_67375_WNG_5Q6MS47K_0
Genre	article Feature
GroupedDBID	-~X .3N .4S .DC .GA .Y3 05W 10A 1OC 1OL 29L 2AX 3-9 31~ 33P 3R3 3SF 4.4 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5HH 5LA 66C 7PT 8-0 8-1 8-3 8UM 8VB 930 A03 AAESR AAEVG AAMMB AANHP AAONW AARHZ AASGY AAUAY AAWIL AAXRX AAZKR ABAWQ ABBHK ABCQN ABCSF ABCUV ABDFA ABEML ABFAN ABIVO ABLJU ABPFR ABPQH ABPTD ABWST ABXSQ ABYWD ACAHQ ACBWZ ACCZN ACFRR ACGFS ACHJO ACIWK ACMTB ACNCT ACPOU ACRPL ACSCC ACTMH ACUBG ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADNMO ADODI ADOZA ADQBN ADRDM ADULT ADVEK ADZMN AEFGJ AEGXH AEIMD AEMOZ AEUPB AFBPY AFEBI AFGKR AFVYC AFXHP AFZJQ AGLNM AGQPQ AGXDD AHQJS AIDQK AIDYY AIHAF AIURR AJAOE AJNCP AJXKR AKVCP ALAGY ALMA_UNASSIGNED_HOLDINGS ALRMG ALUQN AMBMR AMVHM AMYDB ANFBD ARCSS ASPBG AS~ ATGXG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BCRHZ BDRZF BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BSCLL BY8 CAG CO8 COF D-E DCZOG DPXWK DQDLB DR2 DRFUL DRSTM DSRWC EBA EBO EBR EBS EBU ECEWR EDO EJD EMK F00 F5P FEDTE FVMVE G-S G.N GODZA H.T H.X HF~ HQ6 HVGLF HZI HZ~ H~9 IHE IPSME IX1 J0M JAAYA JAS JBMMH JBZCM JENOY JHFFW JKQEH JLEZI JLXEF JMS JPL JST K1G K48 LATKE LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 NF~ NU- O66 O9- OIG P2W P2X P4D PQQKQ PZZ Q.N Q11 QB0 QWB R.K RJQFR RNS ROL ROX RX1 SA0 SUPJJ TH9 TUS U5U UAP UB1 W8V W99 WBKPD WH7 WIH WIK WOHZO WQJ WYISQ XBAML XG1 YF5 ZGI ZL0 ZZTAW ~IA ~WT 24P AAYXX CITATION AAHHS ACCFJ AEEZP AEQDE AIWBW AJBDE IQODW 7SC 8BJ 8FD FQK JBE JQ2 L7M L~C L~D ADTOC UNPAY
ID	FETCH-LOGICAL-c5486-ee281abce388427db9bb631133921137e6ed880a74412308f63f990a0ffad0f93
IEDL.DBID	24P
ISSN	0035-9254 1467-9876
IngestDate	Tue Aug 19 19:56:59 EDT 2025 Thu Oct 02 11:40:08 EDT 2025 Sat Sep 27 22:57:10 EDT 2025 Sun Sep 07 13:12:04 EDT 2025 Wed Apr 02 07:27:12 EDT 2025 Thu Apr 24 23:08:31 EDT 2025 Wed Oct 01 02:04:09 EDT 2025 Tue Sep 09 05:06:50 EDT 2025 Thu Jul 03 21:14:35 EDT 2025 Sun Sep 21 06:19:59 EDT 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	1
Keywords	Cumulative logit model Sports tournaments Paired comparison Exponentially weighted moving average process Bradley-Terry model Statistical association Moving average processes Multiple comparison Multivariate analysis Statistical regression Paired comparisons Logit model Tournament
Language	English
License	https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model CC BY 4.0
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c5486-ee281abce388427db9bb631133921137e6ed880a74412308f63f990a0ffad0f93
Notes	ark:/67375/WNG-5Q6MS47K-0 istex:29EC82B1B1A11ABEF5999F6D33235727D289E627 ArticleID:RSSC1046 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
OpenAccessLink	https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fj.1467-9876.2012.01046.x
PQID	1239680995
PQPubID	32577
PageCount	16
ParticipantIDs	unpaywall_primary_10_1111_j_1467_9876_2012_01046_x proquest_miscellaneous_1284062407 proquest_miscellaneous_1283644892 proquest_journals_1239680995 pascalfrancis_primary_26731620 crossref_citationtrail_10_1111_j_1467_9876_2012_01046_x crossref_primary_10_1111_j_1467_9876_2012_01046_x wiley_primary_10_1111_j_1467_9876_2012_01046_x_RSSC1046 jstor_primary_23360981 istex_primary_ark_67375_WNG_5Q6MS47K_0
ProviderPackageCode	CITATION AAYXX
PublicationCentury	2000
PublicationDate	2013-01 20130101 January 2013 2013-01-01 2013
PublicationDateYYYYMMDD	2013-01-01
PublicationDate_xml	– month: 01 year: 2013 text: 2013-01
PublicationDecade	2010
PublicationPlace	Oxford, UK
PublicationPlace_xml	– name: Oxford, UK – name: Oxford
PublicationTitle	Applied statistics
PublicationYear	2013
Publisher	Blackwell Publishing Ltd Wiley-Blackwell Oxford University Press
Publisher_xml	– name: Blackwell Publishing Ltd – name: Wiley-Blackwell – name: Oxford University Press
References	Montgomery, D. (2005) Introduction to Statistical Quality Control. Hoboken: Wiley. 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. Czado, C., Gneiting, T. and Held, L. (2009) Predictive model assessment for count data. Biometrics, 65, 1254-1261. Goddard, J. and Asimakopoulos, I. (2004) Forecasting football results and the efficiency of fixed-odds betting. J. Forecast., 23, 51-66. Crowder, M., Dixon, M., Ledford, A. and Robinson, M. (2002) Dynamic modelling and prediction of English Football League matches for betting. Statistician, 51, 157-168. Rue, H. and Salvesen, Ø. (2000) Prediction and retrospective analysis of soccer matches in a league. Statistician, 49, 399-418. Fahrmeir, L. and Tutz, G. (1994) Dynamic stochastic models for time-dependent ordered paired comparison systems. J. Am. Statist. Ass., 89, 1438-1449. Knorr-Held, L. (1997) Hierarchical Modelling of Longitudinal Data; Applications of Markov Chain Monte Carlo. Munich: Utz. Tibshirani, R. (1996) Regression shrinkage and selection via the lasso. J. R. Statist. Soc. B, 58, 267-288. Holt, C. C. (2004) Forecasting seasonals and trends by exponentially weighted moving averages. Int. J. Forecast., 20, 5-10. Karlis, D. and Ntzoufras, I. (2003) Analysis of sports data by using bivariate Poisson models. Statistician, 52, 381-393. Firth, D. and de Menezes, R. X. (2004) Quasi-variances. Biometrika, 91, 65-80. Kuk, A. Y. C. (1995) Modelling paired comparison data with large numbers of draws and large variability of draw percentages among players. Statistician, 44, 523-528. Thurstone, L. L. (1927) A law of comparative judgement. Psychol. Rev., 34, 273-286. Harville, D. A. (1980) Predictions for national football league games via linear-model methodology. J. Am. Statist. Ass., 75, 516-524. Brier, G. W. (1950) Verification of forecasts expressed in terms of probabilities. Mnthly Weath. Rev., 78, 1-3. Knorr-Held, L. (2000) Dynamic rating of sports teams. Statistician, 49, 261-276. Bradley, R. A. and Terry, M. E. (1952) Rank analysis of incomplete block designs: I, The method of paired comparisons. Biometrika, 39, 324-345. Albert, J., Bennett, J. and Cochran, J. J. (eds) (2005) Anthology of Statistics in Sports. Philadelphia: Society for Industrial and Applied Mathematics. Dixon, M. J. and Coles, S. G. (1997) Modelling association football scores and inefficiencies in the football betting market. Appl. Statist., 46, 265-280. Chatfield, C. (2000) Time Series Forecasting. London: Chapman and Hall. Glickman, M. E. (1999) Parameter estimation in large dynamic paired comparison experiments. Appl. Statist., 48, 377-394. Glickman, M. E. and Stern, H. S. (1998) A state-space model for national football league scores. J. Am. Statist. Ass., 93, 25-35. Koning, R. H. (2000) Balance in competitions in Dutch soccer. Statistician, 49, 419-431. Clarke, S. R. and Norman, J. M. (1995) Home ground advantage of individual clubs in English soccer. Statistician, 44, 509-521. Harville, D. A. and Smith, M. H. (1994) The home-court advantage: how large is it, and does it vary from team to team? Am. Statistn, 48, 22-28. Agresti, A. (2002) Categorical Data Analysis. New York: Wiley. Maher, M. J. (1982) Modelling association football scores. Statist. Neerland., 36, 109-118. Barry, D. and Hartigan, J. A. (1993) Choice models for predicting divisional winners in major league baseball. J. Am. Statist. Ass., 88, 766-774. McHale, I. and Scarf, P. (2007) Modelling soccer matches using bivariate discrete distributions with general dependence structure. Statist. Neerland., 61, 432-445. R Development Core Team (2011) R: a Language and Environment for Statistical Computing. Vienna: R Foundation for Statistical Computing. Harville, D. A. (2003) The selection or seeding of college basketball or football teams for postseason competition. J. Am. Statist. Ass., 98, 17-27. 1982; 36 1927; 34 2004; 20 2009; 65 2000; 49 2011 2002; 51 1993; 88 1997; 46 1999; 48 2004; 23 1994; 89 1997 2005 1994; 48 2002 1996; 58 1952; 39 2004; 91 2003; 52 2003; 98 1950; 78 1980; 75 2000 1995; 44 2007; 61 1951; 16 1998; 93 Harville (2023032206055822600_) 1980; 75 Crowder (2023032206055822600_) 2002; 51 Koning (2023032206055822600_) 2000; 49 Fahrmeir (2023032206055822600_) 1994; 89 Holt (2023032206055822600_) 2004; 20 Knorr-Held (2023032206055822600_) 2000; 49 Knorr-Held (2023032206055822600_) 1997 Albert (2023032206055822600_) 2005 McHale (2023032206055822600_) 2007; 61 Goddard (2023032206055822600_) 2004; 23 Czado (2023032206055822600_) 2009; 65 Agresti (2023032206055822600_) 2002 Chatfield (2023032206055822600_) 2000 Dixon (2023032206055822600_) 1997; 46 Thurstone (2023032206055822600_) 1927; 34 Firth (2023032206055822600_) 2004; 91 Barry (2023032206055822600_) 1993; 88 Harville (2023032206055822600_) 1994; 48 Harville (2023032206055822600_) 2003; 98 Kuk (2023032206055822600_) 1995; 44 Brier (2023032206055822600_) 1950; 78 R Development Core Team (2023032206055822600_) 2011 Clarke (2023032206055822600_) 1995; 44 Maher (2023032206055822600_) 1982; 36 Montgomery (2023032206055822600_) 2005 Glickman (2023032206055822600_) 1999; 48 Rue (2023032206055822600_) 2000; 49 Tibshirani (2023032206055822600_) 1996; 58 Bradley (2023032206055822600_) 1952; 39 Karlis (2023032206055822600_) 2003; 52 Mosteller (2023032206055822600_) 1951; 16 Glickman (2023032206055822600_) 1998; 93
References_xml	– reference: Maher, M. J. (1982) Modelling association football scores. Statist. Neerland., 36, 109-118. – reference: 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. – reference: R Development Core Team (2011) R: a Language and Environment for Statistical Computing. Vienna: R Foundation for Statistical Computing. – reference: Holt, C. C. (2004) Forecasting seasonals and trends by exponentially weighted moving averages. Int. J. Forecast., 20, 5-10. – reference: Koning, R. H. (2000) Balance in competitions in Dutch soccer. Statistician, 49, 419-431. – reference: Dixon, M. J. and Coles, S. G. (1997) Modelling association football scores and inefficiencies in the football betting market. Appl. Statist., 46, 265-280. – reference: Glickman, M. E. and Stern, H. S. (1998) A state-space model for national football league scores. J. Am. Statist. Ass., 93, 25-35. – reference: Albert, J., Bennett, J. and Cochran, J. J. (eds) (2005) Anthology of Statistics in Sports. Philadelphia: Society for Industrial and Applied Mathematics. – reference: Fahrmeir, L. and Tutz, G. (1994) Dynamic stochastic models for time-dependent ordered paired comparison systems. J. Am. Statist. Ass., 89, 1438-1449. – reference: Kuk, A. Y. C. (1995) Modelling paired comparison data with large numbers of draws and large variability of draw percentages among players. Statistician, 44, 523-528. – reference: Barry, D. and Hartigan, J. A. (1993) Choice models for predicting divisional winners in major league baseball. J. Am. Statist. Ass., 88, 766-774. – reference: Clarke, S. R. and Norman, J. M. (1995) Home ground advantage of individual clubs in English soccer. Statistician, 44, 509-521. – reference: Harville, D. A. and Smith, M. H. (1994) The home-court advantage: how large is it, and does it vary from team to team? Am. Statistn, 48, 22-28. – reference: Montgomery, D. (2005) Introduction to Statistical Quality Control. Hoboken: Wiley. – reference: Knorr-Held, L. (2000) Dynamic rating of sports teams. Statistician, 49, 261-276. – reference: Firth, D. and de Menezes, R. X. (2004) Quasi-variances. Biometrika, 91, 65-80. – reference: Harville, D. A. (1980) Predictions for national football league games via linear-model methodology. J. Am. Statist. Ass., 75, 516-524. – reference: Knorr-Held, L. (1997) Hierarchical Modelling of Longitudinal Data; Applications of Markov Chain Monte Carlo. Munich: Utz. – reference: Harville, D. A. (2003) The selection or seeding of college basketball or football teams for postseason competition. J. Am. Statist. Ass., 98, 17-27. – reference: Rue, H. and Salvesen, Ø. (2000) Prediction and retrospective analysis of soccer matches in a league. Statistician, 49, 399-418. – reference: Glickman, M. E. (1999) Parameter estimation in large dynamic paired comparison experiments. Appl. Statist., 48, 377-394. – reference: Tibshirani, R. (1996) Regression shrinkage and selection via the lasso. J. R. Statist. Soc. B, 58, 267-288. – reference: Karlis, D. and Ntzoufras, I. (2003) Analysis of sports data by using bivariate Poisson models. Statistician, 52, 381-393. – reference: McHale, I. and Scarf, P. (2007) Modelling soccer matches using bivariate discrete distributions with general dependence structure. Statist. Neerland., 61, 432-445. – reference: Thurstone, L. L. (1927) A law of comparative judgement. Psychol. Rev., 34, 273-286. – reference: Bradley, R. A. and Terry, M. E. (1952) Rank analysis of incomplete block designs: I, The method of paired comparisons. Biometrika, 39, 324-345. – reference: Czado, C., Gneiting, T. and Held, L. (2009) Predictive model assessment for count data. Biometrics, 65, 1254-1261. – reference: Agresti, A. (2002) Categorical Data Analysis. New York: Wiley. – reference: Chatfield, C. (2000) Time Series Forecasting. London: Chapman and Hall. – reference: Brier, G. W. (1950) Verification of forecasts expressed in terms of probabilities. Mnthly Weath. Rev., 78, 1-3. – reference: Crowder, M., Dixon, M., Ledford, A. and Robinson, M. (2002) Dynamic modelling and prediction of English Football League matches for betting. Statistician, 51, 157-168. – reference: Goddard, J. and Asimakopoulos, I. (2004) Forecasting football results and the efficiency of fixed-odds betting. J. Forecast., 23, 51-66. – year: 2011 – volume: 46 start-page: 265 year: 1997 end-page: 280 article-title: Modelling association football scores and inefficiencies in the football betting market publication-title: Appl. Statist. – volume: 93 start-page: 25 year: 1998 end-page: 35 article-title: A state‐space model for national football league scores publication-title: J. Am. Statist. Ass. – year: 2005 – volume: 34 start-page: 273 year: 1927 end-page: 286 article-title: A law of comparative judgement publication-title: Psychol. Rev. – volume: 65 start-page: 1254 year: 2009 end-page: 1261 article-title: Predictive model assessment for count data publication-title: Biometrics – year: 2000 – volume: 89 start-page: 1438 year: 1994 end-page: 1449 article-title: Dynamic stochastic models for time‐dependent ordered paired comparison systems publication-title: J. Am. Statist. Ass. – volume: 44 start-page: 523 year: 1995 end-page: 528 article-title: Modelling paired comparison data with large numbers of draws and large variability of draw percentages among players publication-title: Statistician – volume: 49 start-page: 419 year: 2000 end-page: 431 article-title: Balance in competitions in Dutch soccer publication-title: Statistician – volume: 51 start-page: 157 year: 2002 end-page: 168 article-title: Dynamic modelling and prediction of English Football League matches for betting publication-title: Statistician – volume: 91 start-page: 65 year: 2004 end-page: 80 article-title: Quasi‐variances publication-title: Biometrika – volume: 48 start-page: 22 year: 1994 end-page: 28 article-title: The home‐court advantage: how large is it, and does it vary from team to team? publication-title: Am. Statistn – volume: 20 start-page: 5 year: 2004 end-page: 10 article-title: Forecasting seasonals and trends by exponentially weighted moving averages publication-title: Int. J. Forecast. – volume: 16 start-page: 3 year: 1951 end-page: 9 article-title: Remarks on the method of paired comparisons: I, The least squares solution assuming equal standard deviations and equal correlations publication-title: Psychometrika – year: 2002 – volume: 98 start-page: 17 year: 2003 end-page: 27 article-title: The selection or seeding of college basketball or football teams for postseason competition publication-title: J. Am. Statist. Ass. – volume: 49 start-page: 261 year: 2000 end-page: 276 article-title: Dynamic rating of sports teams publication-title: Statistician – volume: 39 start-page: 324 year: 1952 end-page: 345 article-title: Rank analysis of incomplete block designs: I, The method of paired comparisons publication-title: Biometrika – volume: 23 start-page: 51 year: 2004 end-page: 66 article-title: Forecasting football results and the efficiency of fixed‐odds betting publication-title: J. Forecast. – year: 1997 – volume: 44 start-page: 509 year: 1995 end-page: 521 article-title: Home ground advantage of individual clubs in English soccer publication-title: Statistician – volume: 88 start-page: 766 year: 1993 end-page: 774 article-title: Choice models for predicting divisional winners in major league baseball publication-title: J. Am. Statist. Ass. – volume: 52 start-page: 381 year: 2003 end-page: 393 article-title: Analysis of sports data by using bivariate Poisson models publication-title: Statistician – volume: 61 start-page: 432 year: 2007 end-page: 445 article-title: Modelling soccer matches using bivariate discrete distributions with general dependence structure publication-title: Statist. Neerland. – volume: 75 start-page: 516 year: 1980 end-page: 524 article-title: Predictions for national football league games via linear‐model methodology publication-title: J. Am. Statist. Ass. – volume: 48 start-page: 377 year: 1999 end-page: 394 article-title: Parameter estimation in large dynamic paired comparison experiments publication-title: Appl. Statist. – volume: 36 start-page: 109 year: 1982 end-page: 118 article-title: Modelling association football scores publication-title: Statist. Neerland. – volume: 49 start-page: 399 year: 2000 end-page: 418 article-title: Prediction and retrospective analysis of soccer matches in a league publication-title: Statistician – volume: 78 start-page: 1 year: 1950 end-page: 3 article-title: Verification of forecasts expressed in terms of probabilities publication-title: Mnthly Weath. Rev. – volume: 58 start-page: 267 year: 1996 end-page: 288 article-title: Regression shrinkage and selection via the lasso publication-title: J. R. Statist. Soc. B – volume: 65 start-page: 1254 year: 2009 ident: 2023032206055822600_ article-title: Predictive model assessment for count data publication-title: Biometrics doi: 10.1111/j.1541-0420.2009.01191.x – volume-title: Categorical Data Analysis year: 2002 ident: 2023032206055822600_ doi: 10.1002/0471249688 – volume-title: R: a Language and Environment for Statistical Computing year: 2011 ident: 2023032206055822600_ – volume: 58 start-page: 267 year: 1996 ident: 2023032206055822600_ article-title: Regression shrinkage and selection via the lasso publication-title: J. R. Statist. Soc. B – volume: 88 start-page: 766 year: 1993 ident: 2023032206055822600_ article-title: Choice models for predicting divisional winners in major league baseball publication-title: J. Am. Statist. Ass. doi: 10.1080/01621459.1993.10476337 – volume: 49 start-page: 419 year: 2000 ident: 2023032206055822600_ article-title: Balance in competitions in Dutch soccer publication-title: Statistician doi: 10.1111/1467-9884.00244 – volume-title: Introduction to Statistical Quality Control year: 2005 ident: 2023032206055822600_ – volume: 34 start-page: 273 year: 1927 ident: 2023032206055822600_ article-title: A law of comparative judgement publication-title: Psychol. Rev. doi: 10.1037/h0070288 – volume: 91 start-page: 65 year: 2004 ident: 2023032206055822600_ article-title: Quasi-variances publication-title: Biometrika doi: 10.1093/biomet/91.1.65 – volume: 48 start-page: 377 year: 1999 ident: 2023032206055822600_ article-title: Parameter estimation in large dynamic paired comparison experiments publication-title: Appl. Statist. – volume-title: Time Series Forecasting year: 2000 ident: 2023032206055822600_ – volume: 16 start-page: 3 year: 1951 ident: 2023032206055822600_ article-title: Remarks on the method of paired comparisons: I, The least squares solution assuming equal standard deviations and equal correlations publication-title: Psychometrika doi: 10.1007/BF02313422 – volume: 49 start-page: 399 year: 2000 ident: 2023032206055822600_ article-title: Prediction and retrospective analysis of soccer matches in a league publication-title: Statistician doi: 10.1111/1467-9884.00243 – volume: 51 start-page: 157 year: 2002 ident: 2023032206055822600_ article-title: Dynamic modelling and prediction of English Football League matches for betting publication-title: Statistician doi: 10.1111/1467-9884.00308 – volume: 39 start-page: 324 year: 1952 ident: 2023032206055822600_ article-title: Rank analysis of incomplete block designs: I, The method of paired comparisons publication-title: Biometrika – volume: 23 start-page: 51 year: 2004 ident: 2023032206055822600_ article-title: Forecasting football results and the efficiency of fixed-odds betting publication-title: J. Forecast. doi: 10.1002/for.877 – volume: 98 start-page: 17 year: 2003 ident: 2023032206055822600_ article-title: The selection or seeding of college basketball or football teams for postseason competition publication-title: J. Am. Statist. Ass. doi: 10.1198/016214503388619058 – volume: 36 start-page: 109 year: 1982 ident: 2023032206055822600_ article-title: Modelling association football scores publication-title: Statist. Neerland. doi: 10.1111/j.1467-9574.1982.tb00782.x – volume: 93 start-page: 25 year: 1998 ident: 2023032206055822600_ article-title: A state-space model for national football league scores publication-title: J. Am. Statist. Ass. doi: 10.1080/01621459.1998.10474084 – volume-title: Anthology of Statistics in Sports year: 2005 ident: 2023032206055822600_ doi: 10.1137/1.9780898718386 – volume: 75 start-page: 516 year: 1980 ident: 2023032206055822600_ article-title: Predictions for national football league games via linear-model methodology publication-title: J. Am. Statist. Ass. doi: 10.1080/01621459.1980.10477504 – volume: 20 start-page: 5 year: 2004 ident: 2023032206055822600_ article-title: Forecasting seasonals and trends by exponentially weighted moving averages publication-title: Int. J. Forecast. doi: 10.1016/j.ijforecast.2003.09.015 – volume: 44 start-page: 523 year: 1995 ident: 2023032206055822600_ article-title: Modelling paired comparison data with large numbers of draws and large variability of draw percentages among players publication-title: Statistician doi: 10.2307/2348900 – volume: 89 start-page: 1438 year: 1994 ident: 2023032206055822600_ article-title: Dynamic stochastic models for time-dependent ordered paired comparison systems publication-title: J. Am. Statist. Ass. doi: 10.1080/01621459.1994.10476882 – volume: 61 start-page: 432 year: 2007 ident: 2023032206055822600_ article-title: Modelling soccer matches using bivariate discrete distributions with general dependence structure publication-title: Statist. Neerland. doi: 10.1111/j.1467-9574.2007.00368.x – volume: 44 start-page: 509 year: 1995 ident: 2023032206055822600_ article-title: Home ground advantage of individual clubs in English soccer publication-title: Statistician doi: 10.2307/2348899 – volume: 49 start-page: 261 year: 2000 ident: 2023032206055822600_ article-title: Dynamic rating of sports teams publication-title: Statistician doi: 10.1111/1467-9884.00236 – volume: 52 start-page: 381 year: 2003 ident: 2023032206055822600_ article-title: Analysis of sports data by using bivariate Poisson models publication-title: Statistician doi: 10.1111/1467-9884.00366 – volume: 78 start-page: 1 year: 1950 ident: 2023032206055822600_ article-title: Verification of forecasts expressed in terms of probabilities publication-title: Mnthly Weath. Rev. doi: 10.1175/1520-0493(1950)078<0001:VOFEIT>2.0.CO;2 – volume: 48 start-page: 22 year: 1994 ident: 2023032206055822600_ article-title: The home-court advantage: how large is it, and does it vary from team to team? publication-title: Am. Statistn – volume: 46 start-page: 265 year: 1997 ident: 2023032206055822600_ article-title: Modelling association football scores and inefficiencies in the football betting market publication-title: Appl. Statist. – volume-title: Hierarchical Modelling of Longitudinal Data; Applications of Markov Chain Monte Carlo year: 1997 ident: 2023032206055822600_
SSID	ssj0000104 ssj0018311
Score	2.3696496
Snippet	In the course of national sports tournaments, usually lasting several months, it is expected that the abilities of teams taking part in the tournament will...
SourceID	unpaywall proquest pascalfrancis crossref wiley jstor istex
SourceType	Open Access Repository Aggregation Database Index Database Enrichment Source Publisher
StartPage	135
SubjectTerms	Ability Applications Applied statistics Ball games Basketball Bradley Combinatorics Combinatorics. Ordered structures Cumulative logit model Data smoothing Dynamic modeling Dynamics Exact sciences and technology Exponentially weighted moving average process Football Forecasting models Graph theory Italy League of Nations Linear inference, regression Mathematics Modeling Modelling Multivariate analysis Overtime Paired comparisons Parametric models Predictive modeling Probabilities Probability and statistics Professional sports Sciences and techniques of general use Seasons Soccer Sport games Sports Sports tournaments Statistical analysis Statistics Studies Summaries Teams Terry model Time series Tournaments Tournaments & championships
SummonAdditionalLinks	– databaseName: Unpaywall dbid: UNPAY link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NbtNAEB6V5AAXCoUKo1IZCXHz3669ax-rQqlAjShJRDmt1s7ugUZOZCei4cQ78IY8CbPrH2QOqCBukT0je2cnM98nz84AvNAY9BeYNz2aJpmH0c_0gKSRpyMZRzHXitv5KRcTdj6P314lV3tw2Z2FkW1VuN8dafhc1XVdBK0dvfVCB4wEURDRJEBwb9Jt2goJRkQk8IaPUndgzBKE5yMYzyfvTz517RkzYiej2QCBfJsNq3u6q6bmi_iGq7CuKVKbssbG-jdd9aIppZQ1WlM3YzAGOPXutlzL3Re5XA6Rr01dZ_tQdYtuKlau_e0m94uvv_WD_K9WeQD3W6DrnjS6D2FPlQew3w2RcNuYcgD3DNxtukU_Av5qV0p8A9d84seV_Pj2faaqaueakW22e7i70q6dzF67M_sIe0TvMczPXs9Oz712tINXIEVinlIkjWReKJqmMeGLPMtzdBEkzBkyUsoVUwuMLJIjWkOSlGpGNeZNGWotF6HO6CGMylWpnoCLAYVzKSNdZBLZaZilRIdm_hJGbongxQHe7Z4o2r7nZvzGUgz4Dxdm34XZd2H3Xdw4EPWa66b3xy10XloH6RVkdW1q53giPk7eiOSSXUxj_k6EDhxaD-oFCaUMXz5y4HjgUr8EmJkyRlDzqPMx0QacWqCVMpYi3E8ceN7fxlBhvv_IUq22Rialho5n5I8yCPEMzXeA9P77F8vn1tFvrSA-TKen5ufTf3ncEYw21VY9Q1y4yY_bf_pPSzpT9w priority: 102 providerName: Unpaywall
Title	Dynamic Bradley-Terry modelling of sports tournaments
URI	https://api.istex.fr/ark:/67375/WNG-5Q6MS47K-0/fulltext.pdf https://www.jstor.org/stable/23360981 https://onlinelibrary.wiley.com/doi/abs/10.1111%2Fj.1467-9876.2012.01046.x https://www.proquest.com/docview/1239680995 https://www.proquest.com/docview/1283644892 https://www.proquest.com/docview/1284062407 https://academic.oup.com/jrsssc/article-pdf/62/1/135/49589378/jrsssc_62_1_135.pdf
UnpaywallVersion	publishedVersion
Volume	62
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVEBS databaseName: Mathematics Source customDbUrl: eissn: 1467-9876 dateEnd: 20241101 omitProxy: false ssIdentifier: ssj0018311 issn: 1467-9876 databaseCode: AMVHM dateStart: 19960301 isFulltext: true titleUrlDefault: https://www.ebsco.com/products/research-databases/mathematics-source providerName: EBSCOhost – providerCode: PRVWIB databaseName: Wiley Online Library - Core collection (SURFmarket) issn: 1467-9876 databaseCode: DR2 dateStart: 19970101 customDbUrl: isFulltext: true eissn: 1467-9876 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0018311 providerName: Wiley-Blackwell
link	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LbxMxEB6h5kAvPAoVS0u0SIjborW9u7aPVUupQI1K04hysryJfSHaVHmI9tb_wD_klzDjfcAKhAqXKFI8m8Tjsb_PHs8H8MrjpD_DdTMRKtcJzn5UA1KwxDObsUx6J4N-yumoOJlk7y_zyyb_ie7C1PUhug03iowwX1OA23L1e5AjZ6ZMA9rSo-PKN4gnBwxhDY12np39UkqKeEdzvKAEY229Ro0UqZ_i88fH9tatAbnguk1hpHxKu8Iu9bUWRg-s3t9UV_bmq53P-_A3rF_Hj-BBAzzjg3qkPIZ7rtqBh62oQ9zE-A5sE_ysqzc_AXlUC9bHdOSOD_1---3CLZc3cRDQoZvs8cLHgRmv4nX4inBl7ilMjt9eHJ4kjdRCMkXKUiTOccVsOXVCqYzLWanLEl2GBFYjQxTSFW6GkW4loickLcoXwuM6ZlPv7Sz1WuzCVrWo3DOIMcCltJb5qbbIFlOtuE9JDwlnUotgIgLZdqSZNnXISQ5jbnp8RBpygSEXmOACcx0B6yyv6locd7B5HXzVGdjlF8plk7n5NHpn8o_F6TiTH0wawW5wZteQC1Hgj2cRDHve_dmgINUvjpb7rbtNMwGsDPaSLhTC7zyCl93HGLp0HmMrt9hQGyWIHmv-1zYIuYh2R8C7ofQPf1-GMXdnA3M-Hh_S2-f_bbkH2zxohtA-1T5srZcb9wKR27ochpDE16NzPoTBZHR28PkHIlEwWw
linkProvider	Wiley-Blackwell
linkToHtml	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LbxMxEB6h9tBeeBQqFkpZJMRt0Xq968cRFUqgTQQkFb1Z3sS-NNpUeYj2xn_gH_JLmPE-YAVChVukeDZZj8f-Pns8H8Bzj5P-DNfNhKtCJzj7UQ1IzhLPbM5y6Z0M-inDkRic5e_Pi_NGDojuwtT1IboNN4qMMF9TgNOG9O9RjqSZUg1oT4_OK18ioNzOBRPExLL8wy-1pIh4NOcLijPWFmzUyJH6OT5_fGxv4domH1y1OYyUUGlX2Ke-FsPoodWdTXVpr7_Y-byPf8MCdnwXbjfIM35VD5V7cMtVe3CnVXWImyDfg13Cn3X55vsgX9eK9TGdueNDv3_9NnHL5XUcFHToKnu88HGgxqt4HX4i3Jl7AGfHbyZHg6TRWkimyFlE4lymmC2njiuVZ3JW6rJEnyGD1UgRuXTCzTDUrUT4hKxFecE9LmQ29d7OUq_5PmxVi8o9hBgjXEprmZ9qi3Qx1SrzKQki4VRqEU1EINuONNOmEDnpYcxNj5BIQy4w5AITXGCuImCd5WVdjOMGNi-CrzoDu7ygZDZZmM-jt6b4KIbjXJ6YNIL94MyuYca5wD_PIjjsefdnA0GyXxlaHrTuNs0MsDLYS1ooxN9FBM-6rzF26UDGVm6xoTaKEz_W2V_bIOYi3h1B1g2lf3h9GcbcjQ3Mp_H4iD4--m_Lp7AzmAxPzem70clj2M2CgAhtWh3A1nq5cU8Qxq3LwxCePwDk4zEu
linkToPdf	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Nb9NAEB2hVoJeKBQqDKUYCXFzFHtt7-4RNYRCaQRNK3pbre1dCTU4UT5Ew4n_wD_klzCz_gADQgVxi5SdOB6P3763OzsD8MQi6Bc4bwZMJDJA9KMakCwMbKjjMObWcNc_5XiUHp7Fr86T87odEJ2FqepDtAtu9GY4vKYX3MwK--tbjqKZUg1oTY_2K3tIKDfjRArK7xuc_FhLioRHvb8gWBg2BRslaqRujs9vf7YzcW3SM7hschgpoVIv0Ke2aobRYas3VuVMrz_qyaTLf90ENtyGSXPrVd7KRW-1zHr5p5-qQv4n39yCmzXR9Z9VkXkbrplyB7abJhJ-jSk7sEV0t6oWfQf4YF3qD-9zn7b48cJfP385NfP52ncNe-jkvD-1vlPiC3_pLuGO6N2Fs-Hz04PDoG7tEOQokdLAmEiEOssNEyKOeJHJLMMQQcEsUZEyblJTILJojmwNRZKwKbM4b-q-tbroW8l2YaOcluYe-AgonGsd2lxqVKd9KSLbp_5LiNwayYsHvHluKq_rnlP7jYnq6B-uyFmKnKWcs9SlB2FrOatqf1zB5qkLjdZAzy8od44n6t3ohUrepsfjmB-pvge7LnbagRFjKf750IP9TjB9H5BSl7EILfea6FI14CwUekmmAul-4sHj9muECtr_0aWZrmiMYCTHZfTHMUjxSOZ7ELWR-xe3z11cXtlAnYzHB_Tx_j9bPoLrbwZD9frl6OgBbEWuXQktke3BxnK-Mg-RNC6zfQcG3wBSs1Q_
linkToUnpaywall	http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NbtNAEB6V5AAXCoUKo1IZCXHz3669ax-rQqlAjShJRDmt1s7ugUZOZCei4cQ78IY8CbPrH2QOqCBukT0je2cnM98nz84AvNAY9BeYNz2aJpmH0c_0gKSRpyMZRzHXitv5KRcTdj6P314lV3tw2Z2FkW1VuN8dafhc1XVdBK0dvfVCB4wEURDRJEBwb9Jt2goJRkQk8IaPUndgzBKE5yMYzyfvTz517RkzYiej2QCBfJsNq3u6q6bmi_iGq7CuKVKbssbG-jdd9aIppZQ1WlM3YzAGOPXutlzL3Re5XA6Rr01dZ_tQdYtuKlau_e0m94uvv_WD_K9WeQD3W6DrnjS6D2FPlQew3w2RcNuYcgD3DNxtukU_Av5qV0p8A9d84seV_Pj2faaqaueakW22e7i70q6dzF67M_sIe0TvMczPXs9Oz712tINXIEVinlIkjWReKJqmMeGLPMtzdBEkzBkyUsoVUwuMLJIjWkOSlGpGNeZNGWotF6HO6CGMylWpnoCLAYVzKSNdZBLZaZilRIdm_hJGbongxQHe7Z4o2r7nZvzGUgz4Dxdm34XZd2H3Xdw4EPWa66b3xy10XloH6RVkdW1q53giPk7eiOSSXUxj_k6EDhxaD-oFCaUMXz5y4HjgUr8EmJkyRlDzqPMx0QacWqCVMpYi3E8ceN7fxlBhvv_IUq22Rialho5n5I8yCPEMzXeA9P77F8vn1tFvrSA-TKen5ufTf3ncEYw21VY9Q1y4yY_bf_pPSzpT9w
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Dynamic+Bradley%E2%80%95Terry+modelling+of+sports+tournaments&rft.jtitle=Applied+statistics&rft.au=CATTELAN%2C+Manuela&rft.au=VARIN%2C+Cristiano&rft.au=FIRTH%2C+David&rft.date=2013&rft.pub=Wiley-Blackwell&rft.issn=0035-9254&rft.volume=62&rft.issue=1&rft.spage=135&rft.epage=150&rft_id=info:doi/10.1111%2Fj.1467-9876.2012.01046.x&rft.externalDBID=n%2Fa&rft.externalDocID=26731620
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0035-9254&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0035-9254&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0035-9254&client=summon