Wednesday, September 21, 2022

SIMULATED END OF SEASON ARPI RANKS USING ACTUAL RESULTS THROUGH SEPTEMBER 18 AND SIMULATED RESULTS FOR FUTURE GAMES

Starting this week, when I simulate the results of future games I will use current actual ARPIs as adjusted for home field advantage (rather than using pre-season assigned ARPIs as adjusted).

As each week passes, since more and more actual results will be part of the data, the simulated end-of-season ranks should come closer and closer to where they ultimately will end up.

In addition to other cautions about the simulations, there are three reservations I want to emphasize:

1.  The value of home field I use is 0.0148 (in relation to RPI ratings), which comes from a statistical analysis of all game results since 2007.  It is based, however, on games that included overtime games decided by golden goals.  With the change to no overtimes, it is possible this value will change.  I will be doing a study of this, but have not done it yet.

2.   I designate as ties all games where the location-adjusted rating difference between opponents is 0.0133 or less.  This likewise comes from a statistical analysis of all game results since 2007, including overtime games decided by golden goals.  With the change to no overtimes, this value will change but I have not yet done a study to determine the new value.

3.  For every game where the rating difference between opponents is greater than the tie threshold, I designate the game as a win by the better rated team.  That is the only practical way to do it.  In real life, however, the better rated team over a series of games will not win them all.  As a result, teams at the high end of my ratings show better records than they are likely actually to have and teams at the low end show poorer records.

With all of that in mind, here are the simulated end-of-season ranks using the actual results of games played through September 18 and simulated results of games not yet played: 

Team for Bracket Formation

ARPI Rank

AlabamaU

1

UCLA

2

Rutgers

3

NotreDame

4

VirginiaU

5

NorthCarolinaU

6

Harvard

7

StLouis

8

ArizonaState

9

Duke

10

Clemson

11

SouthCarolinaU

12

OhioState

13

PortlandU

14

Georgetown

15

BYU

16

ArkansasU

17

MississippiU

18

TCU

19

NCState

20

Xavier

21

PennState

22

WashingtonState

23

LSU

24

NorthwesternU

25

SouthAlabama

26

UtahValley

27

Pepperdine

28

Lamar

29

GrandCanyon

30

WisconsinU

31

OklahomaState

32

TexasA&M

33

UCF

34

VCU

35

Buffalo

36

CalStateFullerton

37

Pittsburgh

38

SouthDakotaState

39

FloridaState

40

WakeForest

41

Brown

42

Memphis

43

UAB

44

JamesMadison

45

Drexel

46

SMU

47

UtahU

48

Northeastern

49

MississippiState

50

Fairfield

51

EasternKentucky

52

GeorgiaU

53

BoiseState

54

WashingtonU

55

MichiganState

56

CaliforniaU

57

ConnecticutU

58

SanFrancisco

59

Stanford

60

IUPUI

61

KansasU

62

Quinnipiac

63

Auburn

64

Dayton

65

Creighton

66

FloridaAtlantic

67

Campbell

68

LoyolaChicago

69

Milwaukee

70

EastCarolina

71

Chattanooga

72

OregonU

73

SanDiegoState

74

TexasU

75

LaSalle

76

NorthwesternState

77

Samford

78

UMassLowell

79

SouthernMississippi

80

UNCGreensboro

81

WrightState

82

Towson

83

Monmouth

84

Princeton

85

ArizonaU

86

Radford

87

Columbia

88

CaliforniaBaptist

89

Wofford

90

Liberty

91

MiamiFL

92

SELouisiana

93

Louisville

94

William&Mary

95

BowlingGreen

96

TexasState

97

TennesseeU

98

OklahomaU

99

MontanaU

100

NorthAlabama

101

SIUEdwardsville

102

VirginiaTech

103

KentuckyU

104

NewMexicoState

105

MissouriState

106

MassachusettsU

107

Purdue

108

NebraskaU

109

MaineU

110

SouthernCalifornia

111

SantaClara

112

UtahState

113

MountStMary

114

TennesseeTech

115

Dartmouth

116

WestVirginiaU

117

HawaiiU

118

Denver

119

Yale

120

LoyolaMD

121

Duquesne

122

LoyolaMarymount

123

WesternKentucky

124

Lipscomb

125

Davidson

126

OhioU

127

TexasTech

128

Hartford

129

Butler

130

AppalachianState

131

Drake

132

GeorgiaState

133

Tarleton

134

MissouriU

135

OregonState

136

Gonzaga

137

Oakland

138

Army

139

Elon

140

Vanderbilt

141

Hofstra

142

KennesawState

143

Marist

144

ColoradoU

145

Cincinnati

146

NorthDakotaState

147

AirForce

148

Merrimack

149

UNCWilmington

150

MiamiOH

151

Tulsa

152

Seattle

153

NorthTexas

154

IllinoisU

155

LongBeachState

156

IndianaU

157

NJIT

158

Syracuse

159

CentralConnecticut

160

SetonHall

161

Binghamton

162

NorthernColorado

163

StMarys

164

Toledo

165

NewMexicoU

166

Niagara

167

MichiganU

168

ClevelandState

169

TexasCommerce

170

GreenBay

171

MarylandU

172

Mercer

173

RhodeIslandU

174

Grambling

175

SouthernUtah

176

RobertMorris

177

ColoradoCollege

178

IdahoU

179

UCIrvine

180

BostonCollege

181

WesternIllinois

182

LouisianaMonroe

183

UCDavis

184

StThomas

185

Navy

186

Marquette

187

Belmont

188

GeorgiaSouthern

189

WesternCarolina

190

OldDominion

191

GeorgeMason

192

Lafayette

193

Rice

194

Longwood

195

SIUCarbondale

196

Baylor

197

Bucknell

198

SanDiegoU

199

UtahTech

200

Houston

201

FloridaGulfCoast

202

UMKC

203

Canisius

204

NorthernIllinois

205

EastTennesseeState

206

SoutheastMissouriState

207

CollegeofCharleston

208

IPFW

209

PennsylvaniaU

210

CalStateNorthridge

211

GeorgeWashington

212

GardnerWebb

213

KansasState

214

EasternWashington

215

StJohns

216

UCRiverside

217

Providence

218

IowaState

219

ColoradoState

220

Bellarmine

221

BostonU

222

OralRoberts

223

Evansville

224

CentralArkansas

225

Temple

226

VermontU

227

WesternMichigan

228

UMBC

229

Albany

230

American

231

JacksonvilleU

232

TexasCorpusChristi

233

HighPoint

234

JacksonState

235

FloridaU

236

ArkansasState

237

StFrancis

238

SouthFlorida

239

MinnesotaU

240

Charlotte

241

Detroit

242

UNLV

243

USCUpstate

244

Troy

245

IowaU

246

TexasRGV

247

McNeeseState

248

TennesseeMartin

249

KentState

250

LouisianaTech

251

NorthFlorida

252

MurrayState

253

UCSanDiego

254

Iona

255

SouthernIndiana

256

IllinoisChicago

257

WyomingU

258

StephenFAustin

259

BallState

260

DePaul

261

Bryant

262

UTSA

263

LouisianaLafayette

264

CalPoly

265

StBonaventure

266

Furman

267

FairleighDickinson

268

Lehigh

269

Cornell

270

StonyBrook

271

SacredHeart

272

UALR

273

AbileneChristian

274

StFrancisBrooklyn

275

UNCAsheville

276

Morehead

277

Pacific

278

NewHampshireU

279

IdahoState

280

Fordham

281

StJosephs

282

Citadel

283

Marshall

284

CoastalCarolina

285

NorthernKentucky

286

SanJoseState

287

AlcornState

288

NichollsState

289

MiddleTennessee

290

FIU

291

Akron

292

Richmond

293

Winthrop

294

StPeters

295

UTEP

296

JacksonvilleState

297

NorthDakotaU

298

EasternIllinois

299

AlabamaA&M

300

Rider

301

EasternMichigan

302

CalStateBakersfield

303

HoustonBaptist

304

AustinPeay

305

Stonehill

306

SouthernU

307

Hampton

308

UNOmaha

309

Manhattan

310

HolyCross

311

YoungstownState

312

IllinoisState

313

WeberState

314

ArkansasPineBluff

315

SamHoustonState

316

ChicagoState

317

IncarnateWord

318

DelawareU

319

UCSantaBarbara

320

NorthernArizona

321

NevadaU

322

Valparaiso

323

Stetson

324

Siena

325

FresnoState

326

CharlestonSouthern

327

CentralMichigan

328

SacramentoState

329

Presbyterian

330

Lindenwood

331

MississippiValley

332

PortlandState

333

Queens

334

Wagner

335

Villanova

336

Colgate

337

SouthDakotaU

338

VMI

339

Howard

340

IndianaState

341

UNI

342

LongIsland

343

TexasSouthern

344

DelawareState

345

PrairieViewA&M

346

AlabamaState

347

SouthCarolinaState

348

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