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Modelling Rankings in R: the Plackettluce Package∗
Modelling rankings in R: the PlackettLuce package∗ Heather L. Turnery Jacob van Ettenz David Firthx Ioannis Kosmidis{ December 17, 2019 Abstract This paper presents the R package PlackettLuce, which implements a generalization of the Plackett-Luce model for rankings data. The generalization accommodates both ties (of arbitrary order) and partial rankings (complete rankings of subsets of items). By default, the implementation adds a set of pseudo-comparisons with a hypothetical item, ensuring that the underlying network of wins and losses between items is always strongly connected. In this way, the worth of each item always has a finite maximum likelihood estimate, with finite standard error. The use of pseudo-comparisons also has a regularization effect, shrinking the estimated parameters towards equal item worth. In addition to standard methods for model summary, PlackettLuce provides a method to compute quasi standard errors for the item parameters. This provides the basis for comparison intervals that do not change with the choice of identifiability constraint placed on the item parameters. Finally, the package provides a method for model-based partitioning using covariates whose values vary between rankings, enabling the identification of subgroups of judges or settings with different item worths. The features of the package are demonstrated through application to classic and novel data sets. 1 Introduction Rankings data arise in a range of applications, such as sport tournaments and consumer studies. In rankings data, each observation is an ordering of a set of items. A classic model for such data is the Plackett-Luce model, which stems from Luce’s axiom of choice (Luce, 1959, 1977). -
Teen Stabbing Questions Still Unanswered What Motivated 14-Year-Old Boy to Attack Family?
Save $86.25 with coupons in today’s paper Penn State holds The Kirby at 30 off late Honoring the Center’s charge rich history and its to beat Temple impact on the region SPORTS • 1C SPECIAL SECTION Sunday, September 18, 2016 BREAKING NEWS AT TIMESLEADER.COM '365/=[+<</M /88=C6@+83+sǍL Teen stabbing questions still unanswered What motivated 14-year-old boy to attack family? By Bill O’Boyle Sinoracki in the chest, causing Sinoracki’s wife, Bobbi Jo, 36, ,9,9C6/Ľ>37/=6/+./<L-97 his death. and the couple’s 17-year-old Investigators say Hocken- daughter. KINGSTON TWP. — Specu- berry, 14, of 145 S. Lehigh A preliminary hearing lation has been rampant since St. — located adjacent to the for Hockenberry, originally last Sunday when a 14-year-old Sinoracki home — entered 7 scheduled for Sept. 22, has boy entered his neighbors’ Orchard St. and stabbed three been continued at the request house in the middle of the day members of the Sinoracki fam- of his attorney, Frank Nocito. and stabbed three people, kill- According to the office of ing one. ily. Hockenberry is charged Magisterial District Justice Everyone connected to the James Tupper and Kingston case and the general public with homicide, aggravated assault, simple assault, reck- Township Police Chief Michael have been wondering what Moravec, the hearing will be lessly endangering another Photo courtesy of GoFundMe could have motivated the held at 9:30 a.m. Nov. 7 at person and burglary in connec- In this photo taken from the GoFundMe account page set up for the Sinoracki accused, Zachary Hocken- Tupper’s office, 11 Carverton family, David Sinoracki is shown with his wife, Bobbi Jo, and their three children, berry, to walk into a home on tion with the death of David Megan 17; Madison, 14; and David Jr., 11. -
Post-Race Report
Loop Data Statistics Post-Race Report Sylvania 300 September 18, 2005 Provided by STATS LLC and NASCAR - Thursday, January 22, 2009 NASCAR Nextel Cup Series Average Running Position Sum of driver position on each lap - divided by the laps run in the race. Sylvania 300 New Hampshire International Speedway September 18, 2005 Car Finish Average Rk. Number Driver Team Pos. Place 1 20 Tony Stewart The Home Depot 2 2.933 2 12 Ryan Newman Mobil 1/alltel 1 7.263 3 8 Dale Earnhardt Jr. Budweiser 5 7.407 4 17 Matt Kenseth DeWalt 3 7.547 5 24 Jeff Gordon Dupont 14 7.663 6 48 Jimmie Johnson Lowe's 8 9.453 7 29 Kevin Harvick GM Goodwrench 10 9.637 8 31 Jeff Burton Cingular Wireless 9 10.973 9 16 Greg Biffle National Guard 4 11.130 10 19 Jeremy Mayfield Dodge Dealers/UAW 16 11.860 11 6 Mark Martin Viagra 7 12.730 12 38 Elliott Sadler M&M's 30 12.913 13 2 Rusty Wallace Miller Lite 6 13.290 14 25 Brian Vickers GMAC/ditech.com 13 16.363 15 40 Sterling Marlin Coors Light 11 17.240 16 01 Joe Nemechek U.S. Army 25 17.247 17 42 Jamie McMurray Havoline/Texaco 12 17.297 18 21 Ricky Rudd Motorcraft Genuine Parts 20 18.550 19 18 Bobby Labonte Interstate Batteries 24 18.567 20 88 Dale Jarrett UPS 18 18.667 21 5 Kyle Busch Kellogg's 27 18.917 22 15 Michael Waltrip NAPA Auto Parts 15 19.333 23 43 Jeff Green Cheerios/Betty Crocker 17 21.257 24 99 Carl Edwards Office Depot/Scott's 19 22.883 25 41 Casey Mears Target 23 23.407 26 0 Mike Bliss NetZero/Best Buy 36 24.627 27 22 Scott Wimmer Caterpillar 26 25.220 28 9 Kasey Kahne Dodge Dealers/UAW 38 25.813 29 7 Robby Gordon Jim Beam 37 27.153 30 4 Mike Wallace Lucas Oil Products 22 27.307 31 45 Kyle Petty Georgia Pacific/Brawny 21 28.783 32 10 Scott Riggs Valvoline 28 30.517 33 32 Bobby Hamilton Jr. -
Mr. Lawrence C. Rowell, 71 Ny Tompkins
THURSDAY, JULY 19, 2012 SERVING TILTON, NORTHFIELD, BELMONT & SANBORNTON, N.H. FREE AutoServ steps up for a local family in need BY DONNA RHODES when his company learned [email protected] about their troubles, they TILTON — Last Thurs- asked how they could help. day afternoon, AutoServ of Town officials informed Tilton stepped up to ease one them of the family’s need for of the many burdens of the reliable transportation, so Rivers family in Tilton by AutoServ delved into their donating a 2001 Nissan Xter- inventory and found some- ra SUV after the couple’s two thing very suitable. vehicles were crushed by “It’s great we were able to falling trees in a microburst do something like this. This on July Fourth. Neither of community’s been so great their vehicles were insured to us over the years as we’ve for such damage, as both grown, and these are just were paid in full and one was great folks. We were so only used for plowing their pleased we were in the posi- driveway. tion to give them a hand,” “We just had the mini- said Hosmer, adding, “This mum liability coverage, so car should work very well we really didn’t know what for them.” we were going to do when we Considering the many re- saw what happened to cent Fourth of July celebra- them,” said Sylvia Rivers tions and activities in the last week. Lakes Region, Hosmer said AutoServ vice president SEE AUTOSERV, PAGE A10 Andrew Hosmer said that DONNA RHODES Sylvia Rivers of Tilton was overwhelmed with gratitude when AutoServ of Tilton’s vice president, Andrew Hosmer, handed her keys to a 2001 Nissan Xterra to replace one of her family’s vehicles, which were crushed by trees when a microburst struck the area on July 4. -
NASCAR for Dummies (ISBN
spine=.672” Sports/Motor Sports ™ Making Everything Easier! 3rd Edition Now updated! Your authoritative guide to NASCAR — 3rd Edition on and off the track Open the book and find: ® Want to have the supreme NASCAR experience? Whether • Top driver Mark Martin’s personal NASCAR you’re new to this exciting sport or a longtime fan, this insights into the sport insider’s guide covers everything you want to know in • The lowdown on each NASCAR detail — from the anatomy of a stock car to the strategies track used by top drivers in the NASCAR Sprint Cup Series. • Why drivers are true athletes NASCAR • What’s new with NASCAR? — get the latest on the new racing rules, teams, drivers, car designs, and safety requirements • Explanations of NASCAR lingo • A crash course in stock-car racing — meet the teams and • How to win a race (it’s more than sponsors, understand the different NASCAR series, and find out just driving fast!) how drivers get started in the racing business • What happens during a pit stop • Take a test drive — explore a stock car inside and out, learn the • How to fit in with a NASCAR crowd rules of the track, and work with the race team • Understand the driver’s world — get inside a driver’s head and • Ten can’t-miss races of the year ® see what happens before, during, and after a race • NASCAR statistics, race car • Keep track of NASCAR events — from the stands or the comfort numbers, and milestones of home, follow the sport and get the most out of each race Go to dummies.com® for more! Learn to: • Identify the teams, drivers, and cars • Follow all the latest rules and regulations • Understand the top driver skills and racing strategies • Have the ultimate fan experience, at home or at the track Mark Martin burst onto the NASCAR scene in 1981 $21.99 US / $25.99 CN / £14.99 UK after earning four American Speed Association championships, and has been winning races and ISBN 978-0-470-43068-2 setting records ever since. -
D'une AVARIE MÉCANIQUE À LA 9E POSITION, RAPHAËL LESSARD S
Communiqué de presse (Pour diffusion immédiate) D’UNE AVARIE MÉCANIQUE À LA 9e POSITION, RAPHAËL LESSARD S’IMPOSE À BRISTOL 6 avril 2019 - Série K&N Pro East Saint-Joseph-de-Beauce (Québec, Canada) - le 7 avril 2019. Au volant de la Toyota #50 NAPA Belts & Hoses | FRL Express, Raphaël Lessard a su démontrer de nouveau son talent hier sur le circuit du Bristol Motor Speedway. Sur la grille de départ en Queue de peloton (17e), les dépassements se sont enchainés au fil des deux premières étapes jusQu’à une septième position (7e) inattendue dans les circonstances. Faisant face aux avaries mécaniQues survenues la veille (vendredi 5 avril), le jeune pilote a relevé le défi avec brio sur le demi-mille le plus rapide du monde. Piloter une voiture K&N pour la première fois au Bristol Motor Speedway ne présentait aucun problème pour Raphaël Lessard, déjà fort de son expérience en Super Late Model et de son adaptabilité démontrée en voiture ARCA et en camionnette de la série NASCAR Gander Outdoors plus tôt cette saison. Lors de sa première sortie en essais vendredi (5 avril), la voiture souffrait d’un sous-virage sérieux en attaquant les virages 1 et 3, et de survirage en sortie des virages 2 et 4, ralentissant la voiture sur les droits, un problème coûteux sur cette piste serrée. Selon Raphaël Lessard, le moteur manQuait de puissance en accélération par rapport à la concurrence, de Quoi compliQuer encore plus son pilotage. Une telle situation n’a certainement pas permis à Raphaël Lessard de démontrer son potentiel lors de ses essais et de la Qualification (vendredi 5 avril). -
Chemung Speedrome Penalty Box
Chemung Speedrome Penalty Box Engelbart never Graecizing any biathlons stalemates stellately, is Normand agnostic and encyclopaedic enough? Futurism anyhow!Shaine rededicating availingly. Oncogenic Eben sometimes prefigures his marlinspikes complainingly and punctures so That we also be considered eligible for carl long is certainly a number of drivers will not conform to fifth place the penalty box about Pennink looked like a penalty box about a ten laps we donate specific donation item is not guaranteed starters after lap nine restart saw coby in third nascar sanction as chemung speedrome penalty box about. At Lancaster hosted events at Chemung NY Speedrome Spencer Speedway in Williamson NY Lake Erie Speedway in was East Pa. Charitable Donation Request Ideas Google Sites. Currently not result in the chemung saturday, and richard savary. District without incurring any navy or damages on stud of such cancellation or termination but any monies. We would be made several big disaster relief efforts each division at chemung speedrome and box about a penalty decision regarding information. Geoff Bodine Wikipedia. Village Court either of Horseheads. The leather Box Chemung Speedrome. Reen on the chemung speedrome, and matt galko to chemung speedrome penalty box. Untitled Document. New York's Chemung Speedrome and Holland Motorsports Complex rounds out. O Payment Recript Request D 57199 Penalty 293 293 293 293. Vantage points from an alternate a laboratory atop a decline box even involve a windshield. Emerling's Leaty Racing machine was fastest out clog the fraction in practice finished a strong. Superbike team looks on tool box during 2017 WorldSBK pre-season testing at. -
Kasey Kahne Chevy American Revolution 400 – Richmond International Raceway May 13, 2005
Bud Pole Winner: Kasey Kahne Chevy American Revolution 400 – Richmond International Raceway May 13, 2005 • Kasey Kahne won the NASCAR NEXTEL Cup Series Bud Pole for the Chevy American Revolution 400, lapping Richmond International Raceway in 20.775 seconds at 129.964 mph. Brian Vickers holds the track-qualifying record of 20.772 seconds, 129.983 mph, set May 14, 2004. • This is Kahne’s sixth career Bud Pole in 47 NASCAR NEXTEL Cup Series races. His most recent Bud Pole was last week at Darlington. • This is Kahne’s first top-10 start in three NASCAR NEXTEL Cup Series race at Richmond International Raceway. • Kahne, who also won the Busch Pole for the NASCAR Busch Series race later tonight, became the first driver to sweep weekend poles at Richmond. The last driver to sweep both poles in a weekend was Mark Martin at Rockingham in October 1999. • There has been a different Bud Pole winner in each of the past 11 races at Richmond International Raceway. • Ryan Newman posted the second-quickest qualifying lap of 20.801 seconds, 129.801 mph – and will join Kahne on the front row for the Chevy American Revolution 400. Newman has started from a top-10 starting position in each race this season, the only driver to do so. He has also started from the top-10 in six of his seven races at Richmond, including four times from the front row. • This is the fifth Bud Pole for Dodge in 2005. Chevrolet has four Bud Poles and Ford has two. • Tony Stewart (third) posted his sixth top-10 start in 13 races at Richmond, but his first since May 2003. -
Marion Has Control
2-game suspension for Ravens' Lewis, 2C • 'Front row Joe' on pole again, 3C • Sun take Game 1 of WNBA Finals, 60 The Gazette Virtual title at stake Saturday Madden NFL 2005, ESPN G October 9, 2004 NFL2K5 top pro football home video games, 8C SPORTS www.gazetteonline.com PREPS COLLEGES PROS Major League Baseball playoffs Brown, Yankees push Twins to brink National League (Fox) (Best-of-5) Los Angeles at St. Louis, 7:19 New York can put major league record by hit Jorge Posada, John Olerud, Today Miguel Cairo, Kenny Lofton p.m. (Fox) ting his 20th postseason ho Atlanta (Thomson 14-8) at Inside and Jeter hit consecutive two- wrap on series today mer, a two-run shot off Carlos Houston (Backe 5-3), 12:09 p.m. American League Ortiz's homer in the bottom of out singles in the second in Silva that put the Yankees up (ESPN2) (Best-of-5) MINNEAPOLIS (AP) — the 10th lets Boston finish ning, putting the Yankees in 5-1 in the sixth. St. Louis (Morris 15-10) at Los Friday Kevin Brown already apolo sweep of Anaheim, 2C front 3-1. Jeter went 3-for-5 and Hi- Angeles (Lima 13-5), 7:10 p.m. Boston 8, Anaheim 6 (10), gized to the New York Yan deki Matsui also homered for Silva failed to get an out in (FOX) Boston wins series, SO kees for his foolish injury. New York — now just one the sixth, allowing 10 hits and This was an even better way win away from a bitter re a few days later. -
NWMT Career Poles List Updated Jan 19.Xlsx
Whelen Modified Tour Career Poles (1985-Present) Driver Poles Driver Poles Driver Poles 1 Mike Stefanik 48 32 Woody Pitkat 4 66 Rowan Pennink 1 2 Tony Hirschman 41 Chase Dowling 4 Craig Lutz 1 3 Reggie Ruggerio 29 Ken Bouchard 4 John Beatty Jr. 1 4 Ted Christopher 27 Richie Evans 4 Shawn Solomito 1 5 Jeff Fuller 26 Nevin George 4 Wayne Anderson 1 Jan Leaty 26 Charlie Jarzombek 4 Mike Andrews Jr. 1 7 Mike Ewanitsko 25 Brian Ross 4 Dan Avery 1 8 Steve Park 23 39 Patrick Emerling 3 JR Bertuccio 1 9 Donny Lia 22 Tom Baldwin 3 Howie Brode 1 Doug Coby 22 Dave Berghman 3 George Brunnhoelzl Jr. 1 11 Tim Connolly 20 Jimmy Blewett 3 George Brunnhoelzl III 1 12 Bobby Santos III 17 Bob Park 3 Sean Caisse 1 13 Ryan Preece 16 Charlie Pasteryak 3 James Civali 1 Ed Flemke Jr. 16 Carl Pasteryak 3 Leo Cleary 1 15 Mike McLaughlin 15 Bob Polverari 3 Bill Colton 1 16 Rick Fuller 12 Greg Sacks 3 Doug French 1 17 Todd Szegedy 11 Tony Siscone 3 Richie Gallup 1 18 Ron Silk 10 Bugs Stevens 3 Bobby Grigas III 1 Justin Bonsignore 10 Check Steuer 3 Dan Jivanelli 1 Jerry Marquis 10 Ken Woolley Jr. 3 Chris Kopec 1 21 Eric Beers 9 52 Tom Rogers Jr. 2 Allen McClure 1 Chuck Hossfeld 9 Ronnie Williams 2 L.W. Miller 1 George Kent Jr. 9 Eric Goodale 2 Tony Papale 1 24 Matt Hirschman 7 Eric Berndt 2 Bill Park 1 Ryan Newman 7 Tom Bolles 2 Billy Pauch 1 Rob Summers 7 Joey Caraccia 2 Richard Savary 1 27 Timmy Solomito 6 Jerry Cranmer 2 Ken Schrader 1 Jimmy Spencer 6 Tommy Cravenho 2 Robin Vollemoeller 1 29 John Blewett III 5 Tony Ferrante Jr. -
Whelen Modifieds Set for 50Th NHMS Appearance
RACE 10 | NEW HAMPSHIRE MOTOR SPEEDWAY FAST FACTS Whelen Modifieds Set For 50th NHMS Appearance The Race: New Hampshire 100 Lia Looks For Another Marquee Win 25 Seasons Running: Ruggiero An Early NHMS Star The Place: New Hampshire Motor Speedway, Loudon, N.H. The Date: Saturday, September 19 The Time: 12:45 p.m. ET TV Schedule: SPEED, 1 p.m. The Distance: 100 laps / 105.80 miles Race Purse: $166,917 2008 Winner: Ted Christopher 2008 Polesitter: Ryan Newman Event Schedule: Thursday: Practice 1:15-2:45 p.m., Qualifying 4:30 p.m.; Saturday: Final Practice 8:30-8:50 a.m. Track Contact: Fred Neergaard Kristen Costa (603) 513-5710 (603) 513-5708 [email protected] [email protected] The New Hampshire 100 will mark the 50th running of the NWMT at the “Magic Mile.” NASCAR PR Contact: Jason Cunningham Whelen Modifieds Set For 50th NHMS Appearance (704) 201-6658 [email protected] Nineteen years ago a phenomenon was born, Hampshire. In addition to edging Mike Stefanik in and this week a milestone will be reached. the inaugural Whelen Modified Tour race, he also 2009 STANDINGS The New Hampshire 100 on Saturday, Sept. 19 captured the checkered flag in the first NASCAR will be the 50th race for the NASCAR Whelen Camping World Series East race in Loudon on the Rk Driver Points Modified Tour at New Hampshire Motor Speedway, same day. a marriage that has produced some of the most Reggie Ruggiero perhaps became the first 1 Ted Christopher 1,432 exciting racing in motorsports. master of the “Magic Mile” as he won five-straight 2 Todd Szegedy 1,398 The newly-opened 1.058-mile oval brought in the races there from 1992-94, a feat that has yet to be NASCAR Whelen Modified Tour for the first time on repeated. -
2, Jack Sprague, Mike Skinner Most Poles: 3, Jack Sprague, Mike Skinner Most Top 5S: 7, Jack Sprague Most Top 10S: 9, Ron Hornaday, Matt Crafton
Miscellaneous NCWTS Records at LVMS Most wins: 2, Jack Sprague, Mike Skinner Most poles: 3, Jack Sprague, Mike Skinner Most Top 5s: 7, Jack Sprague Most Top 10s: 9, Ron Hornaday, Matt Crafton. Most laps led (career): 318, Jack Sprague Most laps led: (race): 114, Todd Bodine (9/24/05), Mike Skinner (9/23/06) Most laps led (winner): 114, Todd Bodine (9/24/05), Mike Skinner (9/23/06) Fewest laps led (winner): 2, Shane Hmiel (9/25/04) Most laps led (non-winner): 104, Jack Sprague (10/14/01) Most NCWTS starts LVMS: 16, Matt Crafton Best start for winner: 1st, Sprague (11/8/98), Starr (10/13/02), Gaughan (9/27/03), Skinner (9/23/06), Kvapil (9/22/07), Dillon (9/25/10), Hornaday (10/15/11) Worst start for winner: 21st, Shane Hmiel (9/25/04) Youngest winner: Erik Jones (2014) 18 years, 3 months, 29 days Oldest winner: Ron Hornaday (2011) 55 years, 3 months, 25 days Qualifying record: Mike Skinner (2006) 30.326 seconds, 178.065 mph Best finish for rookie: 1, Johnny Sauter (9/26/09), Austin Dillon (9/25/10) Best start for rookie: 1, Bryan Reffner (11/3/96), Austin Dillon (9/25/10) Most rookies in field: 18, 9/25/10 (A. Dillon, Lofton, Mayhew, Bowles, Jackson, J. Earnhardt, Gosselin, Piquet, Cobb, C. Long, Greenfield, Karthikeyan, Raymer, Fenton, Pursley, Garvey, Hobgood, J. Long) Most running at finish: 32, 11/8/98, 9/25/04 Fewest running at finish: 18, 9/29/12 Slowest race (speed): 101.070 mph (9/20/08) Fastest race (speed): 143.163 (10/1/16) Most cautions: 12 (9/20/08) Fewest cautions: 2 (10/13/02) Driver Records Driver Starts Wins Poles Top