For current rankings, see Jeff Sagarin's rating index
|Rank based on measures
|Linear (Rasch) Measures
|Men's College Basketball Team
(won-loss: opponent strength / best win / worst loss) thru 04-03
|1||7||3||877||Michigan State (32-7 NCAA:6-0 646/847/517)||2||2|
|2||2||12||865||Cincinnati (29-4 NCAA:1-1 617/881/598)||7||6|
|3||4||1||858||Duke (29-5 NCAA:2-1 607/848/677)||1||1|
|4||1||9||856||Stanford (26-4 NCAA:1-1 588/858/649)||3||3|
|5||8||111||844||Iowa State (30-5 NCAA:3-1 581/841/551)||6||7|
|6||3||16||822||Arizona (27-7 NCAA:1-1 624/933/501)||4||4|
|7||15||21||820||Florida (29-8 NCAA:5-1 614/858/710)||13||11|
|8||5||47||814||Oklahoma State (26-7 NCAA:3-1 599/881/527)||14||15|
|9||11||106||805||LSU (28-6 NCAA:2-1 558/806/581)||10||9|
|10||19||53||804||Oklahoma (27-7 NCAA:1-1 588/891/700)||12||13|
|11||8||41||803||Syracuse (26-6 NCAA:2-1 581/781/565)||16||14|
|11||10||6||803||Ohio State (23-7 NCAA:1-1 593/865/599)||8||8|
|13||6||20||801||Temple (27-6 NCAA:1-1 612/942/649)||5||5|
|14||17||39||795||Tulsa (31-5 NCAA:3-1 528/865/464)||18||19|
|15||13||66||792||Texas (24-9 NCAA:1-1 648/877/727)||15||18|
|16||14||15||788||Indiana (20-9 NCAA:0-1 660/878/579)||22||17|
|17||12||23||787||Tennessee (25-7 NCAA:2-1 608/897/545)||11||10|
|18||18||10||786||St. John's (25-8 NCAA:1-1 618/935/485)||9||12|
|19||16||7||781||Kentucky (22-10 NCAA:1-1 673/800/581)||19||20|
|20||21||18||775||Purdue (23-10 NCAA:3-1 641/848/569)||25||24|
|21||24||2||774||Connecticut (25-10 NCAA:1-1 623/858/599)||20||21|
|22||24||44||771||Illinois (22-10 NCAA:1-1 639/761/698)||21||23|
|23||34||11||770||Wisconsin (22-14 NCAA:4-1 698/852/607)|
|24||23||29||764||Kansas (23-10 NCAA:1-1 645/727/757)|
|25||22||5||754||Maryland (25-10 NCAA:1-1 623/935/637)||17||16|
|Current Home Court Advantage = 77 BCUs|
|Predictions from last Sunday's rank|
|Mike's wins%||Sagarin's Rate wins%||Sagarin's Pure wins%|
Logit measures predict as follows:
(a) Note down the BCUs of the guest team.
(b) Note down the BCUs of the home team.
(c) Add the home court advantage BCUs to the home team.
(d) The team with more BCUs will win (guest or home+advantage)
(e) Teams in the complete ranking of Top 300 will win over unranked teams.
Linear Measures produced by Mike Linacre
The Health Care Finance Administration (HCFA) has recently approved Rasch "paired comparison" methodology for the identification of misvalued procedures, see Total Physician Work. Leon L. Thurstone perceived the necessity that measures be independent of sampling and testing specifics. Measures based on paired comparisons meet this criterion. Bradley and Terry proposed this model but from a descriptive, rather than measurement, perspective. Consequently, they noticed, but did not capitalize on, the linearity of the measures produced. Georg Rasch perceived the linearity of measures produced from ordinal data by logit-linear models.
Since mathematical expression
of such models obscures their immediate utility and ease of application,
they are illustrated here by a simple paired comparison analysis of NCAA
game outcomes. Obvious advantages include:
(a) all teams are ranked, not just the favored few
(b) all teams are located on a linear measurement scale
(c) all teams are given equal attention
(d) the data are easy to obtain, even for non-experts
(e) rare, idiosyncratic results can be indentified, and, even if left unremedied, produce minimal distortion.
(f) it is noticeable, in these data, that the conventional ranking services pay too much attention to won-loss record - and even particular wins and losses (the immediate details), and not enough to strength of schedule (the big picture).
Thurstone, L.L. The method of paired comparisons for social values. Journal of Abnormal and Social Psychology, 1927b, 21, 384-400.
Bradley, R.A. and Terry, M E. Rank analysis of incomplete block designs I: The method of paired comparisons. Biometrika, 1952, 39, 324-345.
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|Coming Rasch-related Events|
|June 19-21, 2013, Wed.-Fri.||SIS 2013 Conference on Advances in Latent Variables: Methods, Models and Applications, Brescia, Italy, meetings.sis-statistica.org/index.php/sis2013/ALV|
|July 1 - Nov. 30, 2013, Mon.-Sun.||Online Course: Introduction to Rasch Measurement Theory (D. Andrich, RUMM), www.education.uwa.edu.au/ppl/courses|
|July 5 - Aug. 2, 2013, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com|
|July 15, 2013, Monday||Application deadline: UIC Educational Research Methodology online graduate certificate program, www.go.uic.edu/OnlineMESA|
|July 22, 2013, Monday||Submission deadline: 2014 AERA Annual Meeting, Philadelphia PA, www.aera.net|
|Aug.1-5, 2013, Thur.-Mon.||TERA-PROMS Annual Meeting, Kaohsiung, Taiwan, tera.education.nsysu.edu.tw|
|Aug. 9 - Sept. 6, 2013, Fri.-Fri.||On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com|
|Aug. 22, 2013, Thursday.||Symposium in honor of Svend Kreiner, Copenhagen, Denmark, biostat.ku.dk/kreinersymposium|
|Sept. 4-6, 2013, Wed.-Fri.||IMEKO TC1-TC7-TC13 Symposium: Measurement Across Physical and Behavioural Sciences, Genoa, Italy, www.imeko-genoa-2013.it|
|Sept. 13 - Oct. 11, 2013, Fri.-Fri.||On-line workshop: Rasch Applications in Clinical Assessment, Survey Research, and Educational Measurement (W.P. Fisher), www.statistics.com|
|Sept. 18-20, 2013, Wed.-Fri.||In-person workshop: Introductory Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
|Sept. 23-25, 2013, Mon.-Wed.||In-person workshop: Intermediate Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
|Sept. 26-27, 2013, Thurs.-Fri.||In-person workshop: Advanced Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
|Oct. 18 - Nov. 15, 2013, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com|
|Oct. 20 - Oct. 25, 2013, Sun.-Fri.||International Association for Educational Assessment (IAEA) 39th Annual Conference, Tel Aviv, Israel, www.iaea-2013.com|
|Dec. 11-13, 2013, Wed.-Fri.||In-person workshop: Introductory Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
|March 12-14, 2014, Wed.-Fri.||In-person workshop: Introductory Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
|April 3-7, 2014, Thurs.-Mon.||AERA Annual Meeting, Philadelphia PA, www.aera.net|
|May 14-16, 2014, Wed.-Fri.|
|May 19-21, 2013, Mon.-Wed.||In-person workshop: Intermediate Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
|July 4 - Aug. 1, 2014, Fri.-Fri.||On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com|
|Aug. 8 - Sept. 5, 2014, Fri.-Fri.||On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com|
|Sept. 10-12, 2014, Wed.-Fri.|
|Sept. 12 - Oct. 10, 2014, Fri.-Fri.||On-line workshop: Rasch Applications in Clinical Assessment, Survey Research, and Educational Measurement (W.P. Fisher), www.statistics.com|
|Sept. 15-17, 2014, Mon.-Wed.||In-person workshop: Intermediate Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
|Sept. 18-19, 2014, Thurs.-Fri.||In-person workshop: Advanced Rasch (A. Tennant, RUMM), Leeds, UK, www.leeds.ac.uk/medicine/rehabmed/psychometric|
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