Using R to compute data for testing

firstname lastname at_bat hits homeruns runs runs_batted walks years_in_league at_bat_career hits_career homeruns_career runs_career runs_batted_career walks_career league division team position putouts assists errors salary league_after team_after
Andy Allanson 293 66 1 30 29 14 1 293 66 1 30 29 14 A E Cle. C 446 33 20 NA A Cle.
Alan Ashby 315 81 7 24 38 39 14 3449 835 69 321 414 375 N W Hou. C 632 43 10 475 N Hou.
Alvin Davis 479 130 18 66 72 76 3 1624 457 63 224 266 263 A W Sea. 1B 880 82 14 480 A Sea.
Andre Dawson 496 141 20 65 78 37 11 5628 1575 225 828 838 354 N E Mon. RF 200 11 3 500 N Chi.
Andres Galarraga 321 87 10 39 42 30 2 396 101 12 48 46 33 N E Mon. 1B 805 40 4 91.5 N Mon.
Alfredo Griffin 594 169 4 74 51 35 11 4408 1133 19 501 336 194 A W Oak. SS 282 421 25 750 A Oak.
Al Newman 185 37 1 23 8 21 2 214 42 1 30 9 24 N E Mon. 2B 76 127 7 70 A Min.
Argenis Salazar 298 73 0 24 24 7 3 509 108 0 41 37 12 A W K.C. SS 121 283 9 100 A K.C.
Andres Thomas 323 81 6 26 32 8 2 341 86 6 32 34 8 N W Atl. SS 143 290 19 75 N Atl.
Andre Thornton 401 92 17 49 66 65 13 5206 1332 253 784 890 866 A E Cle. DH 0 0 0 1100 A Cle.
Alan Trammell 574 159 21 107 75 59 10 4631 1300 90 702 504 488 A E Det. SS 238 445 22 517.143 A Det.
Alex Trevino 202 53 4 31 26 27 9 1876 467 15 192 186 161 N W L.A. C 304 45 11 512.5 N L.A.
Andy VanSlyke 418 113 13 48 61 47 4 1512 392 41 205 204 203 N E St.L. RF 211 11 7 550 N Pit.
Alan Wiggins 239 60 0 30 11 22 6 1941 510 4 309 103 207 A E Bal. 2B 121 151 6 700 A Bal.
Bill Almon 196 43 7 29 27 30 13 3231 825 36 376 290 238 N E Pit. UT 80 45 8 240 N Pit.
Billy Beane 183 39 3 20 15 11 3 201 42 3 20 16 11 A W Min. OF 118 0 0 NA A Min.
Buddy Bell 568 158 20 89 75 73 15 8068 2273 177 1045 993 732 N W Cin. 3B 105 290 10 775 N Cin.
Buddy Biancalana 190 46 2 24 8 15 5 479 102 5 65 23 39 A W K.C. SS 102 177 16 175 A K.C.
Bruce Bochte 407 104 6 57 43 65 12 5233 1478 100 643 658 653 A W Oak. 1B 912 88 9 NA A Oak.
Bruce Bochy 127 32 8 16 22 14 8 727 180 24 67 82 56 N W S.D. C 202 22 2 135 N S.D.
Barry Bonds 413 92 16 72 48 65 1 413 92 16 72 48 65 N E Pit. CF 280 9 5 100 N Pit.
Bobby Bonilla 426 109 3 55 43 62 1 426 109 3 55 43 62 A W Chi. O1 361 22 2 115 N Pit.
Bob Boone 22 10 1 4 2 1 6 84 26 2 9 9 3 A W Cal. C 812 84 11 NA A Cal.
Bob Brenly 472 116 16 60 62 74 6 1924 489 67 242 251 240 N W S.F. C 518 55 3 600 N S.F.
Bill Buckner 629 168 18 73 102 40 18 8424 2464 164 1008 1072 402 A E Bos. 1B 1067 157 14 776.667 A Bos.
Brett Butler 587 163 4 92 51 70 6 2695 747 17 442 198 317 A E Cle. CF 434 9 3 765 A Cle.
Bob Dernier 324 73 4 32 18 22 7 1931 491 13 291 108 180 N E Chi. CF 222 3 3 708.333 N Chi.
Bo Diaz 474 129 10 50 56 40 10 2331 604 61 246 327 166 N W Cin. C 732 83 13 750 N Cin.
Bill Doran 550 152 6 92 37 81 5 2308 633 32 349 182 308 N W Hou. 2B 262 329 16 625 N Hou.
Brian Downing 513 137 20 90 95 90 14 5201 1382 166 763 734 784 A W Cal. LF 267 5 3 900 A Cal.
Bobby Grich 313 84 9 42 30 39 17 6890 1833 224 1033 864 1087 A W Cal. 2B 127 221 7 NA A Cal.
Billy Hatcher 419 108 6 55 36 22 3 591 149 8 80 46 31 N W Hou. CF 226 7 4 110 N Hou.
Bob Horner 517 141 27 70 87 52 9 3571 994 215 545 652 337 N W Atl. 1B 1378 102 8 NA N Atl.
Brook Jacoby 583 168 17 83 80 56 5 1646 452 44 219 208 136 A E Cle. 3B 109 292 25 612.5 A Cle.
Bob Kearney 204 49 6 23 25 12 7 1309 308 27 126 132 66 A W Sea. C 419 46 5 300 A Sea.
Bill Madlock 379 106 10 38 60 30 14 6207 1906 146 859 803 571 N W L.A. 3B 72 170 24 850 N L.A.
Bobby Meacham 161 36 0 19 10 17 4 1053 244 3 156 86 107 A E N.Y. SS 70 149 12 NA A N.Y.
Bob Melvin 268 60 5 24 25 15 2 350 78 5 34 29 18 N W S.F. C 442 59 6 90 N S.F.
Ben Oglivie 346 98 5 31 53 30 16 5913 1615 235 784 901 560 A E Mil. DH 0 0 0 NA A Mil.
Bip Roberts 241 61 1 34 12 14 1 241 61 1 34 12 14 N W S.D. 2B 166 172 10 NA N S.D.
Billy JoRobidoux 181 41 1 15 21 33 2 232 50 4 20 29 45 A E Mil. 1B 326 29 5 67.5 A Mil.
Bill Russell 216 54 0 21 18 15 18 7318 1926 46 796 627 483 N W L.A. UT 103 84 5 NA N L.A.
Billy Sample 200 57 6 23 14 14 9 2516 684 46 371 230 195 N W Atl. OF 69 1 1 NA N Atl.
Bill Schroeder 217 46 7 32 19 9 4 694 160 32 86 76 32 A E Mil. UT 307 25 1 180 A Mil.
Butch Wynegar 194 40 7 19 29 30 11 4183 1069 64 486 493 608 A E N.Y. C 325 22 2 NA A Cal.
Chris Bando 254 68 2 28 26 22 6 999 236 21 108 117 118 A E Cle. C 359 30 4 305 A Cle.
Chris Brown 416 132 7 57 49 33 3 932 273 24 113 121 80 N W S.F. 3B 73 177 18 215 N S.F.
Carmen Castillo 205 57 8 34 32 9 5 756 192 32 117 107 51 A E Cle. OD 58 4 4 247.5 A Cle.
Cecil Cooper 542 140 12 46 75 41 16 7099 2130 235 987 1089 431 A E Mil. 1B 697 61 9 NA A Mil.
Chili Davis 526 146 13 71 70 84 6 2648 715 77 352 342 289 N W S.F. RF 303 9 9 815 N S.F.
Carlton Fisk 457 101 14 42 63 22 17 6521 1767 281 1003 977 619 A W Chi. C 389 39 4 875 A Chi.
Curt Ford 214 53 2 30 29 23 2 226 59 2 32 32 27 N E St.L. OF 109 7 3 70 N St.L.
Cliff Johnson 19 7 0 1 2 1 4 41 13 1 3 4 4 A E Tor. DH 0 0 0 NA A Tor.
Carney Lansford 591 168 19 80 72 39 9 4478 1307 113 634 563 319 A W Oak. 3B 67 147 4 1200 A Oak.
Chet Lemon 403 101 12 45 53 39 12 5150 1429 166 747 666 526 A E Det. CF 316 6 5 675 A Det.
Candy Maldonado 405 102 18 49 85 20 6 950 231 29 99 138 64 N W S.F. OF 161 10 3 415 N S.F.
Carmelo Martinez 244 58 9 28 25 35 4 1335 333 49 164 179 194 N W S.D. O1 142 14 2 340 N S.D.
Charlie Moore 235 61 3 24 39 21 14 3926 1029 35 441 401 333 A E Mil. C 425 43 4 NA A Mil.
Craig Reynolds 313 78 6 32 41 12 12 3742 968 35 409 321 170 N W Hou. SS 106 206 7 416.667 N Hou.
Cal Ripken 627 177 25 98 81 70 6 3210 927 133 529 472 313 A E Bal. SS 240 482 13 1350 A Bal.
Cory Snyder 416 113 24 58 69 16 1 416 113 24 58 69 16 A E Cle. OS 203 70 10 90 A Cle.
Chris Speier 155 44 6 21 23 15 16 6631 1634 98 698 661 777 N E Chi. 3S 53 88 3 275 N S.F.
Curt Wilkerson 236 56 0 27 15 11 4 1115 270 1 116 64 57 A W Tex. 2S 125 199 13 230 A Tex.
Dave Anderson 216 53 1 31 15 22 4 926 210 9 118 69 114 N W L.A. 3S 73 152 11 225 N L.A.
Doug Baker 24 3 0 1 0 2 3 159 28 0 20 12 9 A W Oak. OF 80 4 0 NA A Oak.
Don Baylor 585 139 31 93 94 62 17 7546 1982 315 1141 1179 727 A E Bos. DH 0 0 0 950 A Bos.
Dann Bilardello 191 37 4 12 17 14 4 773 163 16 61 74 52 N E Mon. C 391 38 8 NA N Mon.
Daryl Boston 199 53 5 29 22 21 3 514 120 8 57 40 39 A W Chi. CF 152 3 5 75 A Chi.
Darnell Coles 521 142 20 67 86 45 4 815 205 22 99 103 78 A E Det. 3B 107 242 23 105 A Det.
Dave Collins 419 113 1 44 27 44 12 4484 1231 32 612 344 422 A E Det. LF 211 2 1 NA A Det.
Dave Concepcion 311 81 3 42 30 26 17 8247 2198 100 950 909 690 N W Cin. UT 153 223 10 320 N Pit.
Darren Daulton 138 31 8 18 21 38 3 244 53 12 33 32 55 N E Phi. C 244 21 4 NA N Phi.
Doug DeCinces 512 131 26 69 96 52 14 5347 1397 221 712 815 548 A W Cal. 3B 119 216 12 850 A Cal.
Darrell Evans 507 122 29 78 85 91 18 7761 1947 347 1175 1152 1380 A E Det. 1B 808 108 2 535 A Det.
Dwight Evans 529 137 26 86 97 97 15 6661 1785 291 1082 949 989 A E Bos. RF 280 10 5 933.333 A Bos.
Damaso Garcia 424 119 6 57 46 13 9 3651 1046 32 461 301 112 A E Tor. 2B 224 286 8 850 N Cin.
Dan Gladden 351 97 4 55 29 39 4 1258 353 16 196 110 117 N W S.F. CF 226 7 3 210 A Min.
Danny Heep 195 55 5 24 33 30 8 1313 338 25 144 149 153 N E N.Y. OF 83 2 1 NA N N.Y.
Dave Henderson 388 103 15 59 47 39 6 2174 555 80 285 274 186 A W Sea. OF 182 9 4 325 A Bos.
Donnie Hill 339 96 4 37 29 23 4 1064 290 11 123 108 55 A W Oak. 23 104 213 9 275 A Chi.
Dave Kingman 561 118 35 70 94 33 16 6677 1575 442 901 1210 608 A W Oak. DH 463 32 8 NA A Oak.
Davey Lopes 255 70 7 49 35 43 15 6311 1661 154 1019 608 820 N E Chi. 3O 51 54 8 450 N Hou.
Don Mattingly 677 238 31 117 113 53 5 2223 737 93 349 401 171 A E N.Y. 1B 1377 100 6 1975 A N.Y.
Darryl Motley 227 46 7 23 20 12 5 1325 324 44 156 158 67 A W K.C. RF 92 2 2 NA A K.C.
Dale Murphy 614 163 29 89 83 75 11 5017 1388 266 813 822 617 N W Atl. CF 303 6 6 1900 N Atl.
Dwayne Murphy 329 83 9 50 39 56 9 3828 948 145 575 528 635 A W Oak. CF 276 6 2 600 A Oak.
Dave Parker 637 174 31 89 116 56 14 6727 2024 247 978 1093 495 N W Cin. RF 278 9 9 1041.667 N Cin.
Dan Pasqua 280 82 16 44 45 47 2 428 113 25 61 70 63 A E N.Y. LF 148 4 2 110 A N.Y.
Darrell Porter 155 41 12 21 29 22 16 5409 1338 181 746 805 875 A W Tex. CD 165 9 1 260 A Tex.
Dick Schofield 458 114 13 67 57 48 4 1350 298 28 160 123 122 A W Cal. SS 246 389 18 475 A Cal.
Don Slaught 314 83 13 39 46 16 5 1457 405 28 156 159 76 A W Tex. C 533 40 4 431.5 A Tex.
Darryl Strawberry 475 123 27 76 93 72 4 1810 471 108 292 343 267 N E N.Y. RF 226 10 6 1220 N N.Y.
Dale Sveum 317 78 7 35 35 32 1 317 78 7 35 35 32 A E Mil. 3B 45 122 26 70 A Mil.
Danny Tartabull 511 138 25 76 96 61 3 592 164 28 87 110 71 A W Sea. RF 157 7 8 145 A K.C.
Dickie Thon 278 69 3 24 21 29 8 2079 565 32 258 192 162 N W Hou. SS 142 210 10 NA N Hou.
Denny Walling 382 119 13 54 58 36 12 2133 594 41 287 294 227 N W Hou. 3B 59 156 9 595 N Hou.
Dave Winfield 565 148 24 90 104 77 14 7287 2083 305 1135 1234 791 A E N.Y. RF 292 9 5 1861.460 A N.Y.
Enos Cabell 277 71 2 27 29 14 15 5952 1647 60 753 596 259 N W L.A. 1B 360 32 5 NA N L.A.
Eric Davis 415 115 27 97 71 68 3 711 184 45 156 119 99 N W Cin. LF 274 2 7 300 N Cin.
Eddie Milner 424 110 15 70 47 36 7 2130 544 38 335 174 258 N W Cin. CF 292 6 3 490 N S.F.
Eddie Murray 495 151 17 61 84 78 10 5624 1679 275 884 1015 709 A E Bal. 1B 1045 88 13 2460 A Bal.
Ernest Riles 524 132 9 69 47 54 2 972 260 14 123 92 90 A E Mil. SS 212 327 20 NA A Mil.
Ed Romero 233 49 2 41 23 18 8 1350 336 7 166 122 106 A E Bos. SS 102 132 10 375 A Bos.
Ernie Whitt 395 106 16 48 56 35 10 2303 571 86 266 323 248 A E Tor. C 709 41 7 NA A Tor.
Fred Lynn 397 114 23 67 67 53 13 5589 1632 241 906 926 716 A E Bal. CF 244 2 4 NA A Bal.
Floyd Rayford 210 37 8 15 19 15 6 994 244 36 107 114 53 A E Bal. 3B 40 115 15 NA A Bal.
Franklin Stubbs 420 95 23 55 58 37 3 646 139 31 77 77 61 N W L.A. LF 206 10 7 NA N L.A.
Frank White 566 154 22 76 84 43 14 6100 1583 131 743 693 300 A W K.C. 2B 316 439 10 750 A K.C.
George Bell 641 198 31 101 108 41 5 2129 610 92 297 319 117 A E Tor. LF 269 17 10 1175 A Tor.
Glenn Braggs 215 51 4 19 18 11 1 215 51 4 19 18 11 A E Mil. LF 116 5 12 70 A Mil.
George Brett 441 128 16 70 73 80 14 6675 2095 209 1072 1050 695 A W K.C. 3B 97 218 16 1500 A K.C.
Greg Brock 325 76 16 33 52 37 5 1506 351 71 195 219 214 N W L.A. 1B 726 87 3 385 A Mil.
Gary Carter 490 125 24 81 105 62 13 6063 1646 271 847 999 680 N E N.Y. C 869 62 8 1925.571 N N.Y.
Glenn Davis 574 152 31 91 101 64 3 985 260 53 148 173 95 N W Hou. 1B 1253 111 11 215 N Hou.
George Foster 284 64 14 30 42 24 18 7023 1925 348 986 1239 666 N E N.Y. LF 96 4 4 NA N N.Y.
Gary Gaetti 596 171 34 91 108 52 6 2862 728 107 361 401 224 A W Min. 3B 118 334 21 900 A Min.
Greg Gagne 472 118 12 63 54 30 4 793 187 14 102 80 50 A W Min. SS 228 377 26 155 A Min.
George Hendrick 283 77 14 45 47 26 16 6840 1910 259 915 1067 546 A W Cal. OF 144 6 5 700 A Cal.
Glenn Hubbard 408 94 4 42 36 66 9 3573 866 59 429 365 410 N W Atl. 2B 282 487 19 535 N Atl.
Garth Iorg 327 85 3 30 44 20 8 2140 568 16 216 208 93 A E Tor. 32 91 185 12 362.5 A Tor.
Gary Matthews 370 96 21 49 46 60 15 6986 1972 231 1070 955 921 N E Chi. LF 137 5 9 733.333 N Chi.
Graig Nettles 354 77 16 36 55 41 20 8716 2172 384 1172 1267 1057 N W S.D. 3B 83 174 16 200 N Atl.
Gary Pettis 539 139 5 93 58 69 5 1469 369 12 247 126 198 A W Cal. CF 462 9 7 400 A Cal.
Gary Redus 340 84 11 62 33 47 5 1516 376 42 284 141 219 N E Phi. LF 185 8 4 400 A Chi.
Garry Templeton 510 126 2 42 44 35 11 5562 1578 44 703 519 256 N W S.D. SS 207 358 20 737.5 N S.D.
Gorman Thomas 315 59 16 45 36 58 13 4677 1051 268 681 782 697 A W Sea. DH 0 0 0 NA A Sea.
Greg Walker 282 78 13 37 51 29 5 1649 453 73 211 280 138 A W Chi. 1B 670 57 5 500 A Chi.
Gary Ward 380 120 5 54 51 31 8 3118 900 92 444 419 240 A W Tex. LF 237 8 1 600 A N.Y.
Glenn Wilson 584 158 15 70 84 42 5 2358 636 58 265 316 134 N E Phi. RF 331 20 4 662.5 N Phi.
Harold Baines 570 169 21 72 88 38 7 3754 1077 140 492 589 263 A W Chi. RF 295 15 5 950 A Chi.
Hubie Brooks 306 104 14 50 58 25 7 2954 822 55 313 377 187 N E Mon. SS 116 222 15 750 N Mon.
Howard Johnson 220 54 10 30 39 31 5 1185 299 40 145 154 128 N E N.Y. 3S 50 136 20 297.5 N N.Y.
Hal McRae 278 70 7 22 37 18 18 7186 2081 190 935 1088 643 A W K.C. DH 0 0 0 325 A K.C.
Harold Reynolds 445 99 1 46 24 29 4 618 129 1 72 31 48 A W Sea. 2B 278 415 16 87.5 A Sea.
Harry Spilman 143 39 5 18 30 15 9 639 151 16 80 97 61 N W S.F. 1B 138 15 1 175 N S.F.
Herm Winningham 185 40 4 23 11 18 3 524 125 7 58 37 47 N E Mon. OF 97 2 2 90 N Mon.
Jesse Barfield 589 170 40 107 108 69 6 2325 634 128 371 376 238 A E Tor. RF 368 20 3 1237.5 A Tor.
Juan Beniquez 343 103 6 48 36 40 15 4338 1193 70 581 421 325 A E Bal. UT 211 56 13 430 A K.C.
Juan Bonilla 284 69 1 33 18 25 5 1407 361 6 139 98 111 A E Bal. 2B 122 140 5 NA N Pit.
John Cangelosi 438 103 2 65 32 71 2 440 103 2 67 32 71 A W Chi. LF 276 7 9 100 N Pit.
Jose Canseco 600 144 33 85 117 65 2 696 173 38 101 130 69 A W Oak. LF 319 4 14 165 A Oak.
Joe Carter 663 200 29 108 121 32 4 1447 404 57 210 222 68 A E Cle. RF 241 8 6 250 A Cle.
Jack Clark 232 55 9 34 23 45 12 4405 1213 194 702 705 625 N E St.L. 1B 623 35 3 1300 N St.L.
Jose Cruz 479 133 10 48 72 55 17 7472 2147 153 980 1032 854 N W Hou. LF 237 5 4 773.333 N Hou.
Julio Cruz 209 45 0 38 19 42 10 3859 916 23 557 279 478 A W Chi. 2B 132 205 5 NA A Chi.
Jody Davis 528 132 21 61 74 41 6 2641 671 97 273 383 226 N E Chi. C 885 105 8 1008.333 N Chi.
Jim Dwyer 160 39 8 18 31 22 14 2128 543 56 304 268 298 A E Bal. DO 33 3 0 275 A Bal.
Julio Franco 599 183 10 80 74 32 5 2482 715 27 330 326 158 A E Cle. SS 231 374 18 775 A Cle.
Jim Gantner 497 136 7 58 38 26 11 3871 1066 40 450 367 241 A E Mil. 2B 304 347 10 850 A Mil.
Johnny Grubb 210 70 13 32 51 28 15 4040 1130 97 544 462 551 A E Det. DH 0 0 0 365 A Det.
Jerry Hairston 225 61 5 32 26 26 11 1568 408 25 202 185 257 A W Chi. UT 132 9 0 NA A Chi.
Jack Howell 151 41 4 26 21 19 2 288 68 9 45 39 35 A W Cal. 3B 28 56 2 95 A Cal.
John Kruk 278 86 4 33 38 45 1 278 86 4 33 38 45 N W S.D. LF 102 4 2 110 N S.D.
Jeffrey Leonard 341 95 6 48 42 20 10 2964 808 81 379 428 221 N W S.F. LF 158 4 5 100 N S.F.
Jim Morrison 537 147 23 58 88 47 10 2744 730 97 302 351 174 N E Pit. 3B 92 257 20 277.5 N Pit.
John Moses 399 102 3 56 34 34 5 670 167 4 89 48 54 A W Sea. CF 211 9 3 80 A Sea.
Jerry Mumphrey 309 94 5 37 32 26 13 4618 1330 57 616 522 436 N E Chi. OF 161 3 3 600 N Chi.
Joe Orsulak 401 100 2 60 19 28 4 876 238 2 126 44 55 N E Pit. RF 193 11 4 NA N Pit.
Jorge Orta 336 93 9 35 46 23 15 5779 1610 128 730 741 497 A W K.C. DH 0 0 0 NA A K.C.
Jim Presley 616 163 27 83 107 32 3 1437 377 65 181 227 82 A W Sea. 3B 110 308 15 200 A Sea.
Jamie Quirk 219 47 8 24 26 17 12 1188 286 23 100 125 63 A W K.C. CS 260 58 4 NA A K.C.
Johnny Ray 579 174 7 67 78 58 6 3053 880 32 366 337 218 N E Pit. 2B 280 479 5 657 N Pit.
Jeff Reed 165 39 2 13 9 16 3 196 44 2 18 10 18 A W Min. C 332 19 2 75 N Mon.
Jim Rice 618 200 20 98 110 62 13 7127 2163 351 1104 1289 564 A E Bos. LF 330 16 8 2412.5 A Bos.
Jerry Royster 257 66 5 31 26 32 14 3910 979 33 518 324 382 N W S.D. UT 87 166 14 250 A Chi.
John Russell 315 76 13 35 60 25 3 630 151 24 68 94 55 N E Phi. C 498 39 13 155 N Phi.
Juan Samuel 591 157 16 90 78 26 4 2020 541 52 310 226 91 N E Phi. 2B 290 440 25 640 N Phi.
John Shelby 404 92 11 54 49 18 6 1354 325 30 188 135 63 A E Bal. OF 222 5 5 300 A Bal.
Joel Skinner 315 73 5 23 37 16 4 450 108 6 38 46 28 A W Chi. C 227 15 3 110 A N.Y.
Jeff Stone 249 69 6 32 19 20 4 702 209 10 97 48 44 N E Phi. OF 103 8 2 NA N Phi.
Jim Sundberg 429 91 12 41 42 57 13 5590 1397 83 578 579 644 A W K.C. C 686 46 4 825 N Chi.
Jim Traber 212 54 13 28 44 18 2 233 59 13 31 46 20 A E Bal. UT 243 23 5 NA A Bal.
Jose Uribe 453 101 3 46 43 61 3 948 218 6 96 72 91 N W S.F. SS 249 444 16 195 N S.F.
Jerry Willard 161 43 4 17 26 22 3 707 179 21 77 99 76 A W Oak. C 300 12 2 NA A Oak.
Joel Youngblood 184 47 5 20 28 18 11 3327 890 74 419 382 304 N W S.F. OF 49 2 0 450 N S.F.
Kevin Bass 591 184 20 83 79 38 5 1689 462 40 219 195 82 N W Hou. RF 303 12 5 630 N Hou.
Kal Daniels 181 58 6 34 23 22 1 181 58 6 34 23 22 N W Cin. OF 88 0 3 86.5 N Cin.
Kirk Gibson 441 118 28 84 86 68 8 2723 750 126 433 420 309 A E Det. RF 190 2 2 1300 A Det.
Ken Griffey 490 150 21 69 58 35 14 6126 1839 121 983 707 600 A E N.Y. OF 96 5 3 1000 N Atl.
Keith Hernandez 551 171 13 94 83 94 13 6090 1840 128 969 900 917 N E N.Y. 1B 1199 149 5 1800 N N.Y.
Kent Hrbek 550 147 29 85 91 71 6 2816 815 117 405 474 319 A W Min. 1B 1218 104 10 1310 A Min.
Ken Landreaux 283 74 4 34 29 22 10 3919 1062 85 505 456 283 N W L.A. OF 145 5 7 737.5 N L.A.
Kevin McReynolds 560 161 26 89 96 66 4 1789 470 65 233 260 155 N W S.D. CF 332 9 8 625 N N.Y.
Kevin Mitchell 328 91 12 51 43 33 2 342 94 12 51 44 33 N E N.Y. OS 145 59 8 125 N S.D.
Keith Moreland 586 159 12 72 79 53 9 3082 880 83 363 477 295 N E Chi. RF 181 13 4 1043.333 N Chi.
Ken Oberkfell 503 136 5 62 48 83 10 3423 970 20 408 303 414 N W Atl. 3B 65 258 8 725 N Atl.
Ken Phelps 344 85 24 69 64 88 7 911 214 64 150 156 187 A W Sea. DH 0 0 0 300 A Sea.
Kirby Puckett 680 223 31 119 96 34 3 1928 587 35 262 201 91 A W Min. CF 429 8 6 365 A Min.
Kurt Stillwell 279 64 0 31 26 30 1 279 64 0 31 26 30 N W Cin. SS 107 205 16 75 N Cin.
Leon Durham 484 127 20 66 65 67 7 3006 844 116 436 458 377 N E Chi. 1B 1231 80 7 1183.333 N Chi.
Len Dykstra 431 127 8 77 45 58 2 667 187 9 117 64 88 N E N.Y. CF 283 8 3 202.5 N N.Y.
Larry Herndon 283 70 8 33 37 27 12 4479 1222 94 557 483 307 A E Det. OF 156 2 2 225 A Det.
Lee Lacy 491 141 11 77 47 37 15 4291 1240 84 615 430 340 A E Bal. RF 239 8 2 525 A Bal.
Len Matuszek 199 52 9 26 28 21 6 805 191 30 113 119 87 N W L.A. O1 235 22 5 265 N L.A.
Lloyd Moseby 589 149 21 89 86 64 7 3558 928 102 513 471 351 A E Tor. CF 371 6 6 787.5 A Tor.
Lance Parrish 327 84 22 53 62 38 10 4273 1123 212 577 700 334 A E Det. C 483 48 6 800 N Phi.
Larry Parrish 464 128 28 67 94 52 13 5829 1552 210 740 840 452 A W Tex. DH 0 0 0 587.5 A Tex.
Luis Rivera 166 34 0 20 13 17 1 166 34 0 20 13 17 N E Mon. SS 64 119 9 NA N Mon.
Larry Sheets 338 92 18 42 60 21 3 682 185 36 88 112 50 A E Bal. DH 0 0 0 145 A Bal.
Lonnie Smith 508 146 8 80 44 46 9 3148 915 41 571 289 326 A W K.C. LF 245 5 9 NA A K.C.
Lou Whitaker 584 157 20 95 73 63 10 4704 1320 93 724 522 576 A E Det. 2B 276 421 11 420 A Det.
Mike Aldrete 216 54 2 27 25 33 1 216 54 2 27 25 33 N W S.F. 1O 317 36 1 75 N S.F.
Marty Barrett 625 179 4 94 60 65 5 1696 476 12 216 163 166 A E Bos. 2B 303 450 14 575 A Bos.
Mike Brown 243 53 4 18 26 27 4 853 228 23 101 110 76 N E Pit. OF 107 3 3 NA N Pit.
Mike Davis 489 131 19 77 55 34 7 2051 549 62 300 263 153 A W Oak. RF 310 9 9 780 A Oak.
Mike Diaz 209 56 12 22 36 19 2 216 58 12 24 37 19 N E Pit. O1 201 6 3 90 N Pit.
Mariano Duncan 407 93 8 47 30 30 2 969 230 14 121 69 68 N W L.A. SS 172 317 25 150 N L.A.
Mike Easler 490 148 14 64 78 49 13 3400 1000 113 445 491 301 A E N.Y. DH 0 0 0 700 N Phi.
Mike Fitzgerald 209 59 6 20 37 27 4 884 209 14 66 106 92 N E Mon. C 415 35 3 NA N Mon.
Mel Hall 442 131 18 68 77 33 6 1416 398 47 210 203 136 A E Cle. LF 233 7 7 550 A Cle.
Mickey Hatcher 317 88 3 40 32 19 8 2543 715 28 269 270 118 A W Min. UT 220 16 4 NA A Min.
Mike Heath 288 65 8 30 36 27 9 2815 698 55 315 325 189 N E St.L. C 259 30 10 650 A Det.
Mike Kingery 209 54 3 25 14 12 1 209 54 3 25 14 12 A W K.C. OF 102 6 3 68 A Sea.
Mike LaValliere 303 71 3 18 30 36 3 344 76 3 20 36 45 N E St.L. C 468 47 6 100 N Pit.
Mike Marshall 330 77 19 47 53 27 6 1928 516 90 247 288 161 N W L.A. RF 149 8 6 670 N L.A.
Mike Pagliarulo 504 120 28 71 71 54 3 1085 259 54 150 167 114 A E N.Y. 3B 103 283 19 175 A N.Y.
Mark Salas 258 60 8 28 33 18 3 638 170 17 80 75 36 A W Min. C 358 32 8 137 A Min.
Mike Schmidt 20 1 0 0 0 0 2 41 9 2 6 7 4 N E Phi. 3B 78 220 6 2127.333 N Phi.
Mike Scioscia 374 94 5 36 26 62 7 1968 519 26 181 199 288 N W L.A. C 756 64 15 875 N L.A.
Mickey Tettleton 211 43 10 26 35 39 3 498 116 14 59 55 78 A W Oak. C 463 32 8 120 A Oak.
Milt Thompson 299 75 6 38 23 26 3 580 160 8 71 33 44 N E Phi. CF 212 1 2 140 N Phi.
Mitch Webster 576 167 8 89 49 57 4 822 232 19 132 83 79 N E Mon. CF 325 12 8 210 N Mon.
Mookie Wilson 381 110 9 61 45 32 7 3015 834 40 451 249 168 N E N.Y. OF 228 7 5 800 N N.Y.
Marvell Wynne 288 76 7 34 37 15 4 1644 408 16 198 120 113 N W S.D. OF 203 3 3 240 N S.D.
Mike Young 369 93 9 43 42 49 5 1258 323 54 181 177 157 A E Bal. LF 149 1 6 350 A Bal.
Nick Esasky 330 76 12 35 41 47 4 1367 326 55 167 198 167 N W Cin. 1B 512 30 5 NA N Cin.
Ozzie Guillen 547 137 2 58 47 12 2 1038 271 3 129 80 24 A W Chi. SS 261 459 22 175 A Chi.
Oddibe McDowell 572 152 18 105 49 65 2 978 249 36 168 91 101 A W Tex. CF 325 13 3 200 A Tex.
Omar Moreno 359 84 4 46 27 21 12 4992 1257 37 699 386 387 N W Atl. RF 151 8 5 NA N Atl.
Ozzie Smith 514 144 0 67 54 79 9 4739 1169 13 583 374 528 N E St.L. SS 229 453 15 1940 N St.L.
Ozzie Virgil 359 80 15 45 48 63 7 1493 359 61 176 202 175 N W Atl. C 682 93 13 700 N Atl.
Phil Bradley 526 163 12 88 50 77 4 1556 470 38 245 167 174 A W Sea. LF 250 11 1 750 A Sea.
Phil Garner 313 83 9 43 41 30 14 5885 1543 104 751 714 535 N W Hou. 3B 58 141 23 450 N Hou.
Pete Incaviglia 540 135 30 82 88 55 1 540 135 30 82 88 55 A W Tex. RF 157 6 14 172 A Tex.
Paul Molitor 437 123 9 62 55 40 9 4139 1203 79 676 390 364 A E Mil. 3B 82 170 15 1260 A Mil.
Pete O’Brien 551 160 23 86 90 87 5 2235 602 75 278 328 273 A W Tex. 1B 1224 115 11 NA A Tex.
Pete Rose 237 52 0 15 25 30 24 14053 4256 160 2165 1314 1566 N W Cin. 1B 523 43 6 750 N Cin.
Pat Sheridan 236 56 6 41 19 21 5 1257 329 24 166 125 105 A E Det. OF 172 1 4 190 A Det.
Pat Tabler 473 154 6 61 48 29 6 1966 566 29 250 252 178 A E Cle. 1B 846 84 9 580 A Cle.
Rafael Belliard 309 72 0 33 31 26 5 354 82 0 41 32 26 N E Pit. SS 117 269 12 130 N Pit.
Rick Burleson 271 77 5 35 29 33 12 4933 1358 48 630 435 403 A W Cal. UT 62 90 3 450 A Bal.
Randy Bush 357 96 7 50 45 39 5 1394 344 43 178 192 136 A W Min. LF 167 2 4 300 A Min.
Rick Cerone 216 56 4 22 18 15 12 2796 665 43 266 304 198 A E Mil. C 391 44 4 250 A N.Y.
Ron Cey 256 70 13 42 36 44 16 7058 1845 312 965 1128 990 N E Chi. 3B 41 118 8 1050 A Oak.
Rob Deer 466 108 33 75 86 72 3 652 142 44 102 109 102 A E Mil. RF 286 8 8 215 A Mil.
Rick Dempsey 327 68 13 42 29 45 18 3949 939 78 438 380 466 A E Bal. C 659 53 7 400 A Cle.
Rich Gedman 462 119 16 49 65 37 7 2131 583 69 244 288 150 A E Bos. C 866 65 6 NA A Bos.
Ron Hassey 341 110 9 45 49 46 9 2331 658 50 249 322 274 A E N.Y. C 251 9 4 560 A Chi.
Rickey Henderson 608 160 28 130 74 89 8 4071 1182 103 862 417 708 A E N.Y. CF 426 4 6 1670 A N.Y.
Reggie Jackson 419 101 18 65 58 92 20 9528 2510 548 1509 1659 1342 A W Cal. DH 0 0 0 487.5 A Oak.
Ricky Jones 33 6 0 2 4 7 1 33 6 0 2 4 7 A W Cal. RF 205 5 4 NA A Cal.
Ron Kittle 376 82 21 42 60 35 5 1770 408 115 238 299 157 A W Chi. DH 0 0 0 425 A N.Y.
Ray Knight 486 145 11 51 76 40 11 3967 1102 67 410 497 284 N E N.Y. 3B 88 204 16 500 A Bal.
Randy Kutcher 186 44 7 28 16 11 1 186 44 7 28 16 11 N W S.F. OF 99 3 1 NA N S.F.
Rudy Law 307 80 1 42 36 29 7 2421 656 18 379 198 184 A W K.C. OF 145 2 2 NA A K.C.
Rick Leach 246 76 5 35 39 13 6 912 234 12 102 96 80 A E Tor. DO 44 0 1 250 A Tor.
Rick Manning 205 52 8 31 27 17 12 5134 1323 56 643 445 459 A E Mil. OF 155 3 2 400 A Mil.
Rance Mulliniks 348 90 11 50 45 43 10 2288 614 43 295 273 269 A E Tor. 3B 60 176 6 450 A Tor.
Ron Oester 523 135 8 52 44 52 9 3368 895 39 377 284 296 N W Cin. 2B 367 475 19 750 N Cin.
Rey Quinones 312 68 2 32 22 24 1 312 68 2 32 22 24 A E Bos. SS 86 150 15 70 A Sea.
Rafael Ramirez 496 119 8 57 33 21 7 3358 882 36 365 280 165 N W Atl. S3 155 371 29 875 N Atl.
Ronn Reynolds 126 27 3 8 10 5 4 239 49 3 16 13 14 N E Pit. LF 190 2 9 190 N Pit.
Ron Roenicke 275 68 5 42 42 61 6 961 238 16 128 104 172 N E Phi. OF 181 3 2 191 N Phi.
Ryne Sandberg 627 178 14 68 76 46 6 3146 902 74 494 345 242 N E Chi. 2B 309 492 5 740 N Chi.
Rafael Santana 394 86 1 38 28 36 4 1089 267 3 94 71 76 N E N.Y. SS 203 369 16 250 N N.Y.
Rick Schu 208 57 8 32 25 18 3 653 170 17 98 54 62 N E Phi. 3B 42 94 13 140 N Phi.
Ruben Sierra 382 101 16 50 55 22 1 382 101 16 50 55 22 A W Tex. OF 200 7 6 97.5 A Tex.
Roy Smalley 459 113 20 59 57 68 12 5348 1369 155 713 660 735 A W Min. DH 0 0 0 740 A Min.
Robby Thompson 549 149 7 73 47 42 1 549 149 7 73 47 42 N W S.F. 2B 255 450 17 140 N S.F.
Rob Wilfong 288 63 3 25 33 16 10 2682 667 38 315 259 204 A W Cal. 2B 135 257 7 341.667 A Cal.
Reggie Williams 303 84 4 35 32 23 2 312 87 4 39 32 23 N W L.A. CF 179 5 3 NA N L.A.
Robin Yount 522 163 9 82 46 62 13 7037 2019 153 1043 827 535 A E Mil. CF 352 9 1 1000 A Mil.
Steve Balboni 512 117 29 54 88 43 6 1750 412 100 204 276 155 A W K.C. 1B 1236 98 18 100 A K.C.
Scott Bradley 220 66 5 20 28 13 3 290 80 5 27 31 15 A W Sea. C 281 21 3 90 A Sea.
Sid Bream 522 140 16 73 77 60 4 730 185 22 93 106 86 N E Pit. 1B 1320 166 17 200 N Pit.
Steve Buechele 461 112 18 54 54 35 2 680 160 24 76 75 49 A W Tex. 3B 111 226 11 135 A Tex.
Shawon Dunston 581 145 17 66 68 21 2 831 210 21 106 86 40 N E Chi. SS 320 465 32 155 N Chi.
Scott Fletcher 530 159 3 82 50 47 6 1619 426 11 218 149 163 A W Tex. SS 196 354 15 475 A Tex.
Steve Garvey 557 142 21 58 81 23 18 8759 2583 271 1138 1299 478 N W S.D. 1B 1160 53 7 1450 N S.D.
Steve Jeltz 439 96 0 44 36 65 4 711 148 1 68 56 99 N E Phi. SS 229 406 22 150 N Phi.
Steve Lombardozi 453 103 8 53 33 52 2 507 123 8 63 39 58 A W Min. 2B 289 407 6 105 A Min.
Spike Owen 528 122 1 67 45 51 4 1716 403 12 211 146 155 A W Sea. SS 209 372 17 350 A Bos.
Steve Sax 633 210 6 91 56 59 6 3070 872 19 420 230 274 N W L.A. 2B 367 432 16 90 N L.A.
Tony Armas 16 2 0 1 0 0 2 28 4 0 1 0 0 A E Bos. CF 247 4 8 NA A Bos.
Tony Bernazard 562 169 17 88 73 53 8 3181 841 61 450 342 373 A E Cle. 2B 351 442 17 530 A Cle.
Tom Brookens 281 76 3 42 25 20 8 2658 657 48 324 300 179 A E Det. UT 106 144 7 341.667 A Det.
Tom Brunansky 593 152 23 69 75 53 6 2765 686 133 369 384 321 A W Min. RF 315 10 6 940 A Min.
Tony Fernandez 687 213 10 91 65 27 4 1518 448 15 196 137 89 A E Tor. SS 294 445 13 350 A Tor.
Tim Flannery 368 103 3 48 28 54 8 1897 493 9 207 162 198 N W S.D. 2B 209 246 3 326.667 N S.D.
Tom Foley 263 70 1 26 23 30 4 888 220 9 83 82 86 N E Mon. UT 81 147 4 250 N Mon.
Tony Gwynn 642 211 14 107 59 52 5 2364 770 27 352 230 193 N W S.D. RF 337 19 4 740 N S.D.
Terry Harper 265 68 8 26 30 29 7 1337 339 32 135 163 128 N W Atl. OF 92 5 3 425 A Det.
Toby Harrah 289 63 7 36 41 44 17 7402 1954 195 1115 919 1153 A W Tex. 2B 166 211 7 NA A Tex.
Tommy Herr 559 141 2 48 61 73 8 3162 874 16 421 349 359 N E St.L. 2B 352 414 9 925 N St.L.
Tim Hulett 520 120 17 53 44 21 4 927 227 22 106 80 52 A W Chi. 3B 70 144 11 185 A Chi.
Terry Kennedy 19 4 1 2 3 1 1 19 4 1 2 3 1 N W S.D. C 692 70 8 920 A Bal.
Tito Landrum 205 43 2 24 17 20 7 854 219 12 105 99 71 N E St.L. OF 131 6 1 286.667 N St.L.
Tim Laudner 193 47 10 21 29 24 6 1136 256 42 129 139 106 A W Min. C 299 13 5 245 A Min.
Tom O’Malley 181 46 1 19 18 17 5 937 238 9 88 95 104 A E Bal. 3B 37 98 9 NA A Bal.
Tom Paciorek 213 61 4 17 22 3 17 4061 1145 83 488 491 244 A W Tex. UT 178 45 4 235 A Tex.
Tony Pena 510 147 10 56 52 53 7 2872 821 63 307 340 174 N E Pit. C 810 99 18 1150 N St.L.
Terry Pendleton 578 138 1 56 59 34 3 1399 357 7 149 161 87 N E St.L. 3B 133 371 20 160 N St.L.
Tony Perez 200 51 2 14 29 25 23 9778 2732 379 1272 1652 925 N W Cin. 1B 398 29 7 NA N Cin.
Tony Phillips 441 113 5 76 52 76 5 1546 397 17 226 149 191 A W Oak. 2B 160 290 11 425 A Oak.
Terry Puhl 172 42 3 17 14 15 10 4086 1150 57 579 363 406 N W Hou. OF 65 0 0 900 N Hou.
Tim Raines 580 194 9 91 62 78 8 3372 1028 48 604 314 469 N E Mon. LF 270 13 6 NA N Mon.
Ted Simmons 127 32 4 14 25 12 19 8396 2402 242 1048 1348 819 N W Atl. UT 167 18 6 500 N Atl.
Tim Teufel 279 69 4 35 31 32 4 1359 355 31 180 148 158 N E N.Y. 2B 133 173 9 277.5 N N.Y.
Tim Wallach 480 112 18 50 71 44 7 3031 771 110 338 406 239 N E Mon. 3B 94 270 16 750 N Mon.
Vince Coleman 600 139 0 94 29 60 2 1236 309 1 201 69 110 N E St.L. LF 300 12 9 160 N St.L.
Von Hayes 610 186 19 107 98 74 6 2728 753 69 399 366 286 N E Phi. 1B 1182 96 13 1300 N Phi.
Vance Law 360 81 5 37 44 37 7 2268 566 41 279 257 246 N E Mon. 2B 170 284 3 525 N Mon.
Wally Backman 387 124 1 67 27 36 7 1775 506 6 272 125 194 N E N.Y. 2B 186 290 17 550 N N.Y.
Wade Boggs 580 207 8 107 71 105 5 2778 978 32 474 322 417 A E Bos. 3B 121 267 19 1600 A Bos.
Will Clark 408 117 11 66 41 34 1 408 117 11 66 41 34 N W S.F. 1B 942 72 11 120 N S.F.
Wally Joyner 593 172 22 82 100 57 1 593 172 22 82 100 57 A W Cal. 1B 1222 139 15 165 A Cal.
Wayne Krenchicki 221 53 2 21 23 22 8 1063 283 15 107 124 106 N E Mon. 13 325 58 6 NA N Mon.
Willie McGee 497 127 7 65 48 37 5 2703 806 32 379 311 138 N E St.L. CF 325 9 3 700 N St.L.
Willie Randolph 492 136 5 76 50 94 12 5511 1511 39 897 451 875 A E N.Y. 2B 313 381 20 875 A N.Y.
Wayne Tolleson 475 126 3 61 43 52 6 1700 433 7 217 93 146 A W Chi. 3B 37 113 7 385 A N.Y.
Willie Upshaw 573 144 9 85 60 78 8 3198 857 97 470 420 332 A E Tor. 1B 1314 131 12 960 A Tor.
Willie Wilson 631 170 9 77 44 31 11 4908 1457 30 775 357 249 A W K.C. CF 408 4 3 1000 A K.C.

Part I: Rank sum test
(a) Arc the salaries similar in the two divisions? Examine whether the distributions of player salaries arc the same in both leagues. Use the Wilcoxon test with the normal approximation and calculate the value of the test statistic, its expected value and variance under the null hypothesis of no difference, and give the test result. (b) The data contain ties. Explain how to simulate the distribution of the test statistic under the null. Implement this procedure and check that the significance levels you computed in the previous question are robust to the effect of ties.
(c) Test your result by implementing the Wilcoxon test in R and give a point estimate (using the Lehmann-Hodges estimator) and a confidence interval for the difference in median salary between the two leagues.
Part II: Rank sign test (d) Consider the possibility that walks and runs have the same median. Find a confidence interval for the difference in medians and use it to test for equal medians at 95%. What do you conclude?
Part HI: Smoothing (e) Examine the relationship between the log of outcome variable salary and explanatory variables homeruns_career and division using exploratory plots. (I) Can we predict salaries with the predictor variable nomeruns_career? Perform a regression of response variable log_salary on the variable homeruns_career. Plot the regression lines onto the data and comment on the fit. Give an interpretation of the model, keeping in mind that the salaries are reported on a log-scale. Comment on the effect

Part II: Rank sign test (d) Consider the possibility that walks and runs have the same median. Find a confidence interval for the difference in medians and use it to test for equal medians at 95%. What do you conclude?
Part III: Smoothing (e) Examine the relationship between the log of outcome variable salary and explanatory variables homenans_career and division using exploratory plots. (0 Can we predict salaries with the predictor variable horneruns_eareer? Perform a regression of response variable tog_salary on the variable horneruns_career. Plot the regression lines onto the data and comment on the fit. Give an interpretation of the model, keeping in mind that the salaries are reported on a log-scale. Comment on the effect of extreme observations in homenns_career.
(g) Try smoothing procedure, for example a Kernel smoother ksmootho or local polynomial regression imply°. Plot the fit for various smoothing parameters and discuss what you find. (h) Use LOO-CV to estimate the bandwidth in a local-polynomial fit of degree I (see lecture code for something nearly identical). Calculate the smoothing matrix S in this case (the expression for S was given in lecture 9 for local linear).

Sample Solution