Major league baseball player statistics, minimum 400 at-bats

Original source: Lahman Baseball Database

http://baseball1.com/statistics/
Source of this file:
https://regressit.com/data

YEAR NAMElast NAMEfirst BattingAverage BattingAverageLAG1 CumulativeAverageLAG1

1960 Aaron Hank 0.292 0.355 0.355
1961 Aaron Hank 0.327 0.292 0.324
1962 Aaron Hank 0.323 0.327 0.325
1963 Aaron Hank 0.319 0.323 0.324
1964 Aaron Hank 0.328 0.319 0.323
1965 Aaron Hank 0.318 0.328 0.324
1966 Aaron Hank 0.279 0.318 0.323
1967 Aaron Hank 0.307 0.279 0.317
1968 Aaron Hank 0.287 0.307 0.316
1969 Aaron Hank 0.300 0.287 0.313
1970 Aaron Hank 0.298 0.300 0.312
1971 Aaron Hank 0.327 0.298 0.311
1972 Aaron Hank 0.265 0.327 0.312
1999 Abreu Bobby 0.335 0.312 0.293
2000 Abreu Bobby 0.316 0.335 0.311
2001 Abreu Bobby 0.289 0.316 0.313
2002 Abreu Bobby 0.308 0.289 0.307
2003 Abreu Bobby 0.300 0.308 0.307
2004 Abreu Bobby 0.301 0.300 0.306
1965 Adair Jerry 0.259 0.248 0.258
1966 Adair Jerry 0.249 0.259 0.259
1967 Adair Jerry 0.271 0.249 0.257
1960 Adcock Joe 0.298 0.292 0.292
1961 Adcock Joe 0.285 0.298 0.295
1967 Agee Tommie 0.234 0.273 0.262
1970 Agee Tommie 0.286 0.271 0.250
1971 Agee Tommie 0.285 0.286 0.258
1972 Agee Tommie 0.227 0.285 0.262
1983 Aikens Willie 0.302 0.281 0.273
1998 Alfonzo Edgardo 0.278 0.315 0.288
1999 Alfonzo Edgardo 0.304 0.278 0.285
2000 Alfonzo Edgardo 0.324 0.304 0.290
2001 Alfonzo Edgardo 0.243 0.324 0.296
2002 Alfonzo Edgardo 0.308 0.243 0.289
2003 Alfonzo Edgardo 0.259 0.308 0.292
2004 Alfonzo Edgardo 0.289 0.259 0.288
1963 Allen Bernie 0.240 0.269 0.269
1965 Allen Dick 0.302 0.318 0.317
1966 Allen Dick 0.317 0.302 0.310
1967 Allen Dick 0.307 0.317 0.312
1968 Allen Dick 0.263 0.307 0.311
1969 Allen Dick 0.288 0.263 0.302
1970 Allen Dick 0.279 0.288 0.300
1971 Allen Dick 0.295 0.279 0.297
1972 Allen Dick 0.308 0.295 0.297
1975 Allen Dick 0.233 0.301 0.299
1966 Alley Gene 0.299 0.252 0.238
1967 Alley Gene 0.287 0.299 0.264
1968 Alley Gene 0.245 0.287 0.271
1960 Allison Bob 0.251 0.261 0.261
1961 Allison Bob 0.245 0.251 0.257
1962 Allison Bob 0.266 0.245 0.253
1963 Allison Bob 0.271 0.266 0.256
1964 Allison Bob 0.287 0.271 0.259
1965 Allison Bob 0.233 0.287 0.263
1968 Allison Bob 0.247 0.258 0.258
1978 Almon Bill 0.252 0.261 0.265
1989 Alomar Roberto 0.295 0.266 0.266
1990 Alomar Roberto 0.287 0.295 0.282
1991 Alomar Roberto 0.295 0.287 0.283
1992 Alomar Roberto 0.310 0.295 0.286
1993 Alomar Roberto 0.326 0.310 0.291
1996 Alomar Roberto 0.328 0.300 0.298
1997 Alomar Roberto 0.333 0.328 0.302
1998 Alomar Roberto 0.282 0.333 0.304
1999 Alomar Roberto 0.323 0.282 0.302
2000 Alomar Roberto 0.310 0.323 0.304
2001 Alomar Roberto 0.336 0.310 0.304
2002 Alomar Roberto 0.266 0.336 0.306
2003 Alomar Roberto 0.258 0.266 0.304
1970 Alomar Sr. Sandy 0.251 0.248 0.238
1971 Alomar Sr. Sandy 0.260 0.251 0.243
1972 Alomar Sr. Sandy 0.239 0.260 0.247
1973 Alomar Sr. Sandy 0.238 0.239 0.246
1997 Alomar Jr. Sandy 0.324 0.263 0.270
1998 Alomar Jr. Sandy 0.235 0.324 0.280
1962 Alou Felipe 0.316 0.289 0.277
1963 Alou Felipe 0.281 0.316 0.291
1964 Alou Felipe 0.253 0.281 0.289
1965 Alou Felipe 0.297 0.253 0.283
1966 Alou Felipe 0.327 0.297 0.285
1967 Alou Felipe 0.274 0.327 0.293
1968 Alou Felipe 0.317 0.274 0.290
1969 Alou Felipe 0.282 0.317 0.294
1970 Alou Felipe 0.271 0.282 0.293
1971 Alou Felipe 0.288 0.271 0.291
1968 Alou Jesus 0.263 0.292 0.283
1969 Alou Jesus 0.248 0.263 0.279
1970 Alou Jesus 0.306 0.248 0.274
1971 Alou Jesus 0.279 0.306 0.279
1967 Alou Matty 0.338 0.342 0.287
1968 Alou Matty 0.332 0.338 0.301
1969 Alou Matty 0.331 0.332 0.307
1970 Alou Matty 0.297 0.331 0.312
1971 Alou Matty 0.315 0.297 0.309
1972 Alou Matty 0.307 0.315 0.310
1973 Alou Matty 0.295 0.307 0.310
1994 Alou Moises 0.339 0.286 0.282
1997 Alou Moises 0.292 0.281 0.292
1998 Alou Moises 0.312 0.292 0.292
2001 Alou Moises 0.331 0.355 0.303
2002 Alou Moises 0.275 0.331 0.306
2003 Alou Moises 0.280 0.275 0.303
2004 Alou Moises 0.293 0.280 0.300
1962 Altman George 0.318 0.303 0.274
1963 Altman George 0.274 0.318 0.287
1964 Altman George 0.230 0.274 0.285
1966 Alvis Max 0.245 0.247 0.257
1967 Alvis Max 0.256 0.245 0.254
1968 Alvis Max 0.223 0.256 0.254
1993 Anderson Brady 0.263 0.271 0.238
1994 Anderson Brady 0.263 0.263 0.244
1995 Anderson Brady 0.262 0.263 0.247
1996 Anderson Brady 0.297 0.262 0.250
1997 Anderson Brady 0.288 0.297 0.257
1998 Anderson Brady 0.236 0.288 0.261
1999 Anderson Brady 0.282 0.236 0.259
2000 Anderson Brady 0.257 0.282 0.261
2001 Anderson Brady 0.202 0.257 0.261
1997 Anderson Garret 0.303 0.285 0.300
1998 Anderson Garret 0.294 0.303 0.301
1999 Anderson Garret 0.303 0.294 0.299
2000 Anderson Garret 0.286 0.303 0.300
2001 Anderson Garret 0.289 0.286 0.297
2002 Anderson Garret 0.306 0.289 0.296
2003 Anderson Garret 0.315 0.306 0.297
2004 Anderson Garret 0.301 0.315 0.299
2002 Anderson Marlon 0.258 0.293 0.270
2003 Anderson Marlon 0.270 0.258 0.266
1968 Andrews Mike 0.271 0.263 0.260
1969 Andrews Mike 0.293 0.271 0.265
1970 Andrews Mike 0.253 0.293 0.274
1977 Andrews Rob 0.264 0.256 0.249
1993 Anthony Eric 0.249 0.239 0.210
1960 Aparicio Luis 0.277 0.257 0.257
1961 Aparicio Luis 0.272 0.277 0.267
1962 Aparicio Luis 0.241 0.272 0.268
1963 Aparicio Luis 0.250 0.241 0.262
1964 Aparicio Luis 0.266 0.250 0.259
1965 Aparicio Luis 0.225 0.266 0.260
1966 Aparicio Luis 0.276 0.225 0.256
1967 Aparicio Luis 0.233 0.276 0.259
1968 Aparicio Luis 0.264 0.233 0.256
1969 Aparicio Luis 0.280 0.264 0.257
1970 Aparicio Luis 0.313 0.280 0.259
1971 Aparicio Luis 0.232 0.313 0.263
1972 Aparicio Luis 0.257 0.232 0.261
1973 Aparicio Luis 0.271 0.257 0.261
1981 Armas Tony 0.261 0.279 0.254
1982 Armas Tony 0.233 0.261 0.255
1983 Armas Tony 0.218 0.233 0.251
1984 Armas Tony 0.268 0.218 0.244
1960 Ashburn Richie 0.291 0.266 0.266
1963 Aspromonte Bob 0.214 0.266 0.257
1964 Aspromonte Bob 0.280 0.214 0.239
1965 Aspromonte Bob 0.263 0.280 0.252
1966 Aspromonte Bob 0.252 0.263 0.255
1967 Aspromonte Bob 0.294 0.252 0.254
1968 Aspromonte Bob 0.225 0.294 0.260
1999 Aurilia Rich 0.281 0.266 0.262
2000 Aurilia Rich 0.271 0.281 0.270
2001 Aurilia Rich 0.324 0.271 0.270
2002 Aurilia Rich 0.257 0.324 0.283
2003 Aurilia Rich 0.277 0.257 0.279
1998 Ausmus Brad 0.269 0.266 0.257
1999 Ausmus Brad 0.275 0.269 0.259
2000 Ausmus Brad 0.266 0.275 0.262
2001 Ausmus Brad 0.232 0.266 0.263
2002 Ausmus Brad 0.257 0.232 0.259
2003 Ausmus Brad 0.229 0.257 0.259
2004 Ausmus Brad 0.248 0.229 0.256
1985 Backman Wally 0.273 0.280 0.276
1992 Baerga Carlos 0.312 0.288 0.278
1993 Baerga Carlos 0.321 0.312 0.293
1994 Baerga Carlos 0.314 0.321 0.301
1995 Baerga Carlos 0.314 0.314 0.303
1996 Baerga Carlos 0.254 0.314 0.305
1997 Baerga Carlos 0.281 0.254 0.298
1998 Baerga Carlos 0.266 0.281 0.296
1992 Bagwell Jeff 0.273 0.294 0.294
1993 Bagwell Jeff 0.320 0.273 0.283
1994 Bagwell Jeff 0.368 0.320 0.295
1995 Bagwell Jeff 0.290 0.368 0.309
1996 Bagwell Jeff 0.315 0.290 0.306
1997 Bagwell Jeff 0.286 0.315 0.307
1998 Bagwell Jeff 0.304 0.286 0.304
1999 Bagwell Jeff 0.304 0.304 0.304
2000 Bagwell Jeff 0.310 0.304 0.304
2001 Bagwell Jeff 0.288 0.310 0.305
2002 Bagwell Jeff 0.291 0.288 0.303
2003 Bagwell Jeff 0.278 0.291 0.302
2004 Bagwell Jeff 0.266 0.278 0.300
1964 Bailey Bob 0.281 0.228 0.224
1965 Bailey Bob 0.256 0.281 0.250
1972 Bailey Bob 0.233 0.251 0.255
1973 Bailey Bob 0.273 0.233 0.252
1974 Bailey Bob 0.280 0.273 0.255
1978 Bailor Bob 0.264 0.310 0.308
1979 Bailor Bob 0.229 0.264 0.284
1983 Baines Harold 0.280 0.271 0.268
1984 Baines Harold 0.304 0.280 0.272
1985 Baines Harold 0.309 0.304 0.279
1986 Baines Harold 0.296 0.309 0.285
1987 Baines Harold 0.293 0.296 0.287
1988 Baines Harold 0.277 0.293 0.288
1989 Baines Harold 0.309 0.277 0.286
1990 Baines Harold 0.284 0.309 0.288
1991 Baines Harold 0.295 0.284 0.288
1992 Baines Harold 0.253 0.295 0.289
1993 Baines Harold 0.313 0.253 0.286
1997 Baines Harold 0.301 0.311 0.290
1973 Baker Dusty 0.288 0.321 0.305
1974 Baker Dusty 0.256 0.288 0.296
1975 Baker Dusty 0.261 0.256 0.283
1978 Baker Dusty 0.262 0.291 0.276
1979 Baker Dusty 0.274 0.262 0.274
1980 Baker Dusty 0.294 0.274 0.274
1981 Baker Dusty 0.320 0.294 0.276
1982 Baker Dusty 0.300 0.320 0.280
1983 Baker Dusty 0.260 0.300 0.282
1985 Balboni Steve 0.243 0.244 0.234
1986 Balboni Steve 0.229 0.243 0.238
2004 Baldelli Rocco 0.280 0.289 0.289
1969 Bando Sal 0.281 0.251 0.242
1970 Bando Sal 0.263 0.281 0.260
1971 Bando Sal 0.271 0.263 0.260
1972 Bando Sal 0.236 0.271 0.263
1973 Bando Sal 0.287 0.236 0.258
1974 Bando Sal 0.243 0.287 0.263
1975 Bando Sal 0.230 0.243 0.260
1976 Bando Sal 0.240 0.230 0.257
1977 Bando Sal 0.250 0.240 0.255
1978 Bando Sal 0.285 0.250 0.254
1979 Bando Sal 0.246 0.285 0.257
1960 Banks Ernie 0.271 0.304 0.304
1961 Banks Ernie 0.278 0.271 0.288
1962 Banks Ernie 0.269 0.278 0.285
1963 Banks Ernie 0.227 0.269 0.280
1964 Banks Ernie 0.264 0.227 0.272
1965 Banks Ernie 0.265 0.264 0.271
1966 Banks Ernie 0.272 0.265 0.270
1967 Banks Ernie 0.276 0.272 0.270
1968 Banks Ernie 0.246 0.276 0.271
1969 Banks Ernie 0.253 0.246 0.268
1986 Barfield Jesse 0.289 0.289 0.267
1987 Barfield Jesse 0.263 0.289 0.273
1988 Barfield Jesse 0.244 0.263 0.271
1989 Barfield Jesse 0.234 0.244 0.267
1990 Barfield Jesse 0.246 0.234 0.263
1985 Barrett Marty 0.266 0.303 0.289
1986 Barrett Marty 0.286 0.266 0.277
1987 Barrett Marty 0.293 0.286 0.281
1988 Barrett Marty 0.283 0.293 0.284
1986 Bass Kevin 0.311 0.269 0.253
1987 Bass Kevin 0.284 0.311 0.274
1988 Bass Kevin 0.255 0.284 0.276
1971 Bateman John 0.242 0.237 0.228
2000 Batista Tony 0.263 0.277 0.269
2001 Batista Tony 0.238 0.263 0.267
2002 Batista Tony 0.244 0.238 0.260
2003 Batista Tony 0.235 0.244 0.257
2004 Batista Tony 0.241 0.235 0.253
1961 Battey Earl 0.302 0.270 0.264
1962 Battey Earl 0.280 0.302 0.282
1963 Battey Earl 0.285 0.280 0.281
1964 Battey Earl 0.272 0.285 0.282
1974 Baylor Don 0.272 0.286 0.270
1975 Baylor Don 0.282 0.272 0.271
1976 Baylor Don 0.247 0.282 0.274
1977 Baylor Don 0.251 0.247 0.267
1978 Baylor Don 0.255 0.251 0.264
1979 Baylor Don 0.296 0.255 0.263
1983 Baylor Don 0.303 0.263 0.264
1984 Baylor Don 0.262 0.303 0.268
1985 Baylor Don 0.231 0.262 0.267
1986 Baylor Don 0.238 0.231 0.265
1966 Beckert Glenn 0.287 0.239 0.239
1967 Beckert Glenn 0.280 0.287 0.264
1968 Beckert Glenn 0.294 0.280 0.269
1969 Beckert Glenn 0.291 0.294 0.275
1970 Beckert Glenn 0.288 0.291 0.278
1971 Beckert Glenn 0.342 0.288 0.280
1972 Beckert Glenn 0.270 0.342 0.287
1997 Becker Rich 0.264 0.291 0.268
1969 Belanger Mark 0.287 0.208 0.198
1970 Belanger Mark 0.218 0.287 0.237
1971 Belanger Mark 0.266 0.218 0.232
1974 Belanger Mark 0.225 0.226 0.232
1975 Belanger Mark 0.226 0.225 0.231
1976 Belanger Mark 0.270 0.226 0.230
1977 Belanger Mark 0.206 0.270 0.235
1973 Bell Buddy 0.268 0.255 0.255
1974 Bell Buddy 0.262 0.268 0.263
1975 Bell Buddy 0.271 0.262 0.263
1976 Bell Buddy 0.281 0.271 0.265
1977 Bell Buddy 0.292 0.281 0.269
1978 Bell Buddy 0.282 0.292 0.272
1979 Bell Buddy 0.299 0.282 0.274
1980 Bell Buddy 0.329 0.299 0.277
1983 Bell Buddy 0.277 0.296 0.285
1984 Bell Buddy 0.315 0.277 0.284
1985 Bell Buddy 0.229 0.315 0.286
1986 Bell Buddy 0.278 0.229 0.282
1987 Bell Buddy 0.284 0.278 0.282
1999 Bell David 0.268 0.273 0.248
2000 Bell David 0.247 0.268 0.256
2001 Bell David 0.260 0.247 0.254
2002 Bell David 0.261 0.260 0.255
1994 Bell Derek 0.311 0.262 0.253
1995 Bell Derek 0.334 0.311 0.275
1996 Bell Derek 0.263 0.334 0.291
1997 Bell Derek 0.276 0.263 0.283
1998 Bell Derek 0.314 0.276 0.282
1999 Bell Derek 0.236 0.314 0.288
2000 Bell Derek 0.266 0.236 0.281
1992 Belle Albert 0.260 0.282 0.261
1993 Belle Albert 0.290 0.260 0.260
1994 Belle Albert 0.357 0.290 0.270
1995 Belle Albert 0.317 0.357 0.285
1996 Belle Albert 0.311 0.317 0.291
1997 Belle Albert 0.274 0.311 0.295
1998 Belle Albert 0.328 0.274 0.292
1999 Belle Albert 0.297 0.328 0.296
2000 Belle Albert 0.281 0.297 0.296
1985 Bell George 0.275 0.292 0.278
1986 Bell George 0.309 0.275 0.277
1987 Bell George 0.308 0.309 0.287
1988 Bell George 0.269 0.308 0.291
1989 Bell George 0.297 0.269 0.287
1990 Bell George 0.265 0.297 0.289
1991 Bell George 0.285 0.265 0.286
1992 Bell George 0.255 0.285 0.286
1993 Bell George 0.217 0.255 0.282
1960 Bell Gus 0.262 0.293 0.293
2000 Belliard Ron 0.263 0.295 0.294
2004 Belliard Ron 0.282 0.277 0.266
1991 Bell Jay 0.270 0.254 0.246
1992 Bell Jay 0.264 0.270 0.254
1993 Bell Jay 0.310 0.264 0.257
1994 Bell Jay 0.276 0.310 0.267
1995 Bell Jay 0.262 0.276 0.268
1996 Bell Jay 0.250 0.262 0.267
1997 Bell Jay 0.291 0.250 0.265
1998 Bell Jay 0.251 0.291 0.268
1999 Bell Jay 0.289 0.251 0.267
2000 Bell Jay 0.267 0.289 0.269
2001 Bell Jay 0.248 0.267 0.269
2000 Beltre Adrian 0.290 0.275 0.259
2001 Beltre Adrian 0.265 0.290 0.272
2002 Beltre Adrian 0.257 0.265 0.270
2003 Beltre Adrian 0.240 0.257 0.267
2004 Beltre Adrian 0.334 0.240 0.262
2002 Beltran Carlos 0.273 0.306 0.287
2003 Beltran Carlos 0.307 0.273 0.283
2004 Beltran Carlos 0.267 0.307 0.288
2000 Benard Marvin 0.263 0.290 0.280
1969 Bench Johnny 0.293 0.275 0.260
1970 Bench Johnny 0.293 0.293 0.275
1971 Bench Johnny 0.238 0.293 0.281
1972 Bench Johnny 0.270 0.238 0.271
1973 Bench Johnny 0.253 0.270 0.271
1974 Bench Johnny 0.280 0.253 0.268
1975 Bench Johnny 0.283 0.280 0.270
1976 Bench Johnny 0.234 0.283 0.271
1977 Bench Johnny 0.275 0.234 0.268
1977 Beniquez Juan 0.269 0.255 0.267
1978 Beniquez Juan 0.260 0.269 0.267
1989 Benzinger Todd 0.245 0.254 0.263
2002 Berkman Lance 0.292 0.331 0.311
2003 Berkman Lance 0.288 0.292 0.304
2004 Berkman Lance 0.316 0.288 0.300
1983 Bernazard Tony 0.265 0.256 0.259
1984 Bernazard Tony 0.221 0.265 0.261
1985 Bernazard Tony 0.274 0.221 0.252
1986 Bernazard Tony 0.301 0.274 0.257
1987 Bernazard Tony 0.250 0.301 0.264
1983 Berra Dale 0.251 0.263 0.238
1984 Berra Dale 0.222 0.251 0.242
2004 Berroa Angel 0.262 0.287 0.282
1996 Berroa Geronimo 0.290 0.278 0.279
1997 Berroa Geronimo 0.283 0.290 0.283
1966 Berry Ken 0.271 0.218 0.229
1967 Berry Ken 0.241 0.271 0.248
1968 Berry Ken 0.252 0.241 0.246
1973 Berry Ken 0.284 0.289 0.253
1994 Bichette Dante 0.304 0.310 0.270
1995 Bichette Dante 0.340 0.304 0.277
1996 Bichette Dante 0.313 0.340 0.289
1997 Bichette Dante 0.308 0.313 0.293
1998 Bichette Dante 0.331 0.308 0.295
1999 Bichette Dante 0.298 0.331 0.300
2000 Bichette Dante 0.294 0.298 0.300
1990 Biggio Craig 0.276 0.257 0.247
1991 Biggio Craig 0.295 0.276 0.261
1992 Biggio Craig 0.277 0.295 0.272
1993 Biggio Craig 0.287 0.277 0.274
1994 Biggio Craig 0.318 0.287 0.276
1995 Biggio Craig 0.302 0.318 0.282
1996 Biggio Craig 0.288 0.302 0.285
1997 Biggio Craig 0.309 0.288 0.285
1998 Biggio Craig 0.325 0.309 0.288
1999 Biggio Craig 0.294 0.325 0.292
2002 Biggio Craig 0.253 0.292 0.291
2003 Biggio Craig 0.264 0.253 0.288
2004 Biggio Craig 0.281 0.264 0.287
1968 Blair Paul 0.211 0.293 0.271
1969 Blair Paul 0.285 0.211 0.256
1970 Blair Paul 0.267 0.285 0.264
1971 Blair Paul 0.262 0.267 0.264
1972 Blair Paul 0.233 0.262 0.264
1973 Blair Paul 0.280 0.233 0.260
1974 Blair Paul 0.261 0.280 0.262
1975 Blair Paul 0.218 0.261 0.262
2004 Blake Casey 0.271 0.257 0.253
2004 Blalock Hank 0.276 0.300 0.282
1960 Blasingame Don 0.235 0.289 0.289
1961 Blasingame Don 0.222 0.235 0.264
1962 Blasingame Don 0.281 0.222 0.252
1965 Blasingame Don 0.223 0.267 0.259
1966 Blefary Curt 0.255 0.260 0.260
1967 Blefary Curt 0.242 0.255 0.258
1968 Blefary Curt 0.200 0.242 0.252
1969 Blefary Curt 0.253 0.200 0.239
1977 Bochte Bruce 0.301 0.258 0.270
1978 Bochte Bruce 0.263 0.301 0.280
1979 Bochte Bruce 0.316 0.263 0.276
1980 Bochte Bruce 0.300 0.316 0.285
1985 Bochte Bruce 0.295 0.264 0.284
1986 Bochte Bruce 0.256 0.295 0.285
1984 Boggs Wade 0.325 0.361 0.357
1985 Boggs Wade 0.368 0.325 0.344
1986 Boggs Wade 0.357 0.368 0.351
1987 Boggs Wade 0.363 0.357 0.352
1988 Boggs Wade 0.366 0.363 0.354
1989 Boggs Wade 0.330 0.366 0.356
1990 Boggs Wade 0.302 0.330 0.352
1991 Boggs Wade 0.332 0.302 0.346
1992 Boggs Wade 0.259 0.332 0.345
1993 Boggs Wade 0.302 0.259 0.338
1996 Boggs Wade 0.311 0.324 0.334
1960 Bolling Frank 0.254 0.266 0.266
1961 Bolling Frank 0.262 0.254 0.259
1962 Bolling Frank 0.271 0.262 0.260
1963 Bolling Frank 0.244 0.271 0.262
1987 Bonds Barry 0.261 0.223 0.223
1988 Bonds Barry 0.283 0.261 0.245
1989 Bonds Barry 0.248 0.283 0.258
1990 Bonds Barry 0.301 0.248 0.256
1991 Bonds Barry 0.292 0.301 0.265
1992 Bonds Barry 0.311 0.292 0.269
1993 Bonds Barry 0.336 0.311 0.275
1996 Bonds Barry 0.308 0.294 0.286
1997 Bonds Barry 0.291 0.308 0.288
1998 Bonds Barry 0.303 0.291 0.288
2001 Bonds Barry 0.328 0.306 0.289
2002 Bonds Barry 0.370 0.328 0.292
1970 Bonds Bobby 0.302 0.259 0.257
1971 Bonds Bobby 0.288 0.302 0.276
1972 Bonds Bobby 0.259 0.288 0.279
1973 Bonds Bobby 0.283 0.259 0.275
1974 Bonds Bobby 0.256 0.283 0.276
1975 Bonds Bobby 0.270 0.256 0.273
1978 Bonds Bobby 0.267 0.264 0.271
1979 Bonds Bobby 0.275 0.267 0.271
1965 Bond Walt 0.263 0.254 0.251
1987 Bonilla Bobby 0.300 0.256 0.256
1988 Bonilla Bobby 0.274 0.300 0.279
1989 Bonilla Bobby 0.281 0.274 0.277
1990 Bonilla Bobby 0.280 0.281 0.278
1991 Bonilla Bobby 0.302 0.280 0.279
1992 Bonilla Bobby 0.249 0.302 0.283
1993 Bonilla Bobby 0.265 0.249 0.279
1994 Bonilla Bobby 0.290 0.265 0.277
1995 Bonilla Bobby 0.329 0.290 0.278
1996 Bonilla Bobby 0.287 0.329 0.284
1997 Bonilla Bobby 0.297 0.287 0.284
2003 Boone Aaron 0.267 0.241 0.271
1974 Boone Bob 0.242 0.261 0.262
1978 Boone Bob 0.283 0.284 0.261
1983 Boone Bob 0.256 0.256 0.259
1984 Boone Bob 0.202 0.256 0.259
1985 Boone Bob 0.248 0.202 0.254
1986 Boone Bob 0.222 0.248 0.253
1996 Boone Bret 0.233 0.267 0.272
1997 Boone Bret 0.223 0.233 0.261
1998 Boone Bret 0.266 0.223 0.253
1999 Boone Bret 0.252 0.266 0.256
2000 Boone Bret 0.251 0.252 0.255
2001 Boone Bret 0.331 0.251 0.255
2002 Boone Bret 0.278 0.331 0.265
2003 Boone Bret 0.294 0.278 0.267
2004 Boone Bret 0.251 0.294 0.270
1993 Borders Pat 0.254 0.242 0.258
1993 Bordick Mike 0.249 0.300 0.276
1996 Bordick Mike 0.240 0.264 0.263
1997 Bordick Mike 0.236 0.240 0.258
1998 Bordick Mike 0.260 0.236 0.254
1999 Bordick Mike 0.277 0.260 0.255
2000 Bordick Mike 0.285 0.277 0.258
1979 Bosetti Rick 0.260 0.259 0.256
1977 Bostock Lyman 0.336 0.323 0.305
1978 Bostock Lyman 0.296 0.336 0.318
1971 Bowa Larry 0.249 0.250 0.250
1972 Bowa Larry 0.250 0.249 0.250
1973 Bowa Larry 0.211 0.250 0.250
1974 Bowa Larry 0.275 0.211 0.242
1975 Bowa Larry 0.305 0.275 0.250
1976 Bowa Larry 0.248 0.305 0.259
1977 Bowa Larry 0.280 0.248 0.257
1978 Bowa Larry 0.294 0.280 0.260
1979 Bowa Larry 0.241 0.294 0.265
1980 Bowa Larry 0.267 0.241 0.262
1983 Bowa Larry 0.267 0.246 0.263
1962 Boyer Clete 0.272 0.224 0.226
1963 Boyer Clete 0.251 0.272 0.242
1964 Boyer Clete 0.218 0.251 0.245
1965 Boyer Clete 0.251 0.218 0.239
1966 Boyer Clete 0.240 0.251 0.241
1967 Boyer Clete 0.245 0.240 0.241
1970 Boyer Clete 0.246 0.250 0.242
1960 Boyer Ken 0.304 0.309 0.309
1961 Boyer Ken 0.329 0.304 0.307
1962 Boyer Ken 0.291 0.329 0.315
1963 Boyer Ken 0.285 0.291 0.308
1964 Boyer Ken 0.295 0.285 0.304
1965 Boyer Ken 0.260 0.295 0.302
1966 Boyer Ken 0.266 0.260 0.296
1986 Bradley Phil 0.310 0.300 0.298
1987 Bradley Phil 0.297 0.310 0.302
1988 Bradley Phil 0.264 0.297 0.301
1989 Bradley Phil 0.277 0.264 0.293
1990 Bradley Phil 0.256 0.277 0.290
1997 Bragg Darren 0.257 0.261 0.251
1998 Bragg Darren 0.279 0.257 0.254
1960 Brandt Jackie 0.254 0.270 0.270
1961 Brandt Jackie 0.297 0.254 0.262
1962 Brandt Jackie 0.255 0.297 0.274
1963 Brandt Jackie 0.248 0.255 0.269
1964 Brandt Jackie 0.243 0.248 0.265
1975 Braun Steve 0.302 0.280 0.277
1976 Braun Steve 0.288 0.302 0.283
1977 Braun Steve 0.235 0.288 0.284
1987 Bream Sid 0.275 0.268 0.253
1988 Bream Sid 0.264 0.275 0.262
1985 Brenly Bob 0.220 0.291 0.273
1986 Brenly Bob 0.246 0.220 0.257
1963 Bressoud Eddie 0.260 0.277 0.252
1964 Bressoud Eddie 0.293 0.260 0.254
1975 Brett George 0.308 0.282 0.270
1976 Brett George 0.333 0.308 0.291
1977 Brett George 0.312 0.333 0.306
1978 Brett George 0.294 0.312 0.308
1979 Brett George 0.329 0.294 0.305
1980 Brett George 0.390 0.329 0.310
1983 Brett George 0.310 0.301 0.316
1986 Brett George 0.290 0.335 0.316
1987 Brett George 0.290 0.290 0.314
1988 Brett George 0.306 0.290 0.312
1989 Brett George 0.282 0.306 0.312
1990 Brett George 0.329 0.282 0.310
1991 Brett George 0.255 0.329 0.311
1992 Brett George 0.285 0.255 0.308
1993 Brett George 0.266 0.285 0.307
1973 Briggs Johnny 0.246 0.266 0.255
1974 Briggs Johnny 0.253 0.246 0.254
1964 Brinkman Ed 0.224 0.228 0.213
1965 Brinkman Ed 0.185 0.224 0.217
1966 Brinkman Ed 0.229 0.185 0.208
1970 Brinkman Ed 0.262 0.266 0.219
1971 Brinkman Ed 0.228 0.262 0.226
1972 Brinkman Ed 0.203 0.228 0.226
1973 Brinkman Ed 0.237 0.203 0.224
1974 Brinkman Ed 0.221 0.237 0.225
1963 Brock Lou 0.258 0.263 0.258
1964 Brock Lou 0.315 0.258 0.258
1965 Brock Lou 0.288 0.315 0.280
1966 Brock Lou 0.285 0.288 0.283
1967 Brock Lou 0.299 0.285 0.283
1968 Brock Lou 0.279 0.299 0.286
1969 Brock Lou 0.298 0.279 0.285
1970 Brock Lou 0.304 0.298 0.287
1971 Brock Lou 0.313 0.304 0.289
1972 Brock Lou 0.311 0.313 0.291
1973 Brock Lou 0.297 0.311 0.293
1974 Brock Lou 0.306 0.297 0.293
1975 Brock Lou 0.309 0.306 0.294
1976 Brock Lou 0.301 0.309 0.295
1977 Brock Lou 0.272 0.301 0.296
 This file and the free Excel add-in which produced the analysis (RegressIt) can be
downloaded from https://regressit.com.

The variables for this analysis consist of yearly statistics on batting averages (number of hits
divided by number of at-bats), for major league baseball players with at least 400 at-bats in
a given year and also at least 400 at-bats in the previous year, for years between 1960 and
2004. This sample is further restricted to players whose names fall in the alphabetical
range from Aaron to Brock merely in order to keep it relatively small (588 rows) for
purposes of demonstration..

The objective is to predict a player's batting average in a given year from his batting average
and/or cumulative batting average in the previous year.

A regression-to-the-mean effect is observed, as is always the case in regression models.

Very similar results would be obtained using any similar scoring statistic in another sport,
such as points per game in basketball or yards rushing or passing in football.

A larger version of the file, with the full set of players and many more statistics (4535 rows
and 82 columns) is also available on the web site.

For an introduction to the game of baseball, watch this video:

https://www.youtube.com/watch?v=rdBYmk4dfLE

Even better, watch this movie:

https://www.rottentomatoes.com/m/bull_durham/
Descriptive Statistics Stats 1
Variable # Fitted Mean Median Std.Dev. Root.M.Sqr. Std.Err.Mean Minimum
BattingAverage 588 0.277 0.277 0.031 0.279 0.001283 0.185
BattingAverageLAG1 588 0.279 0.280 0.030 0.281 0.001237 0.185
CumulativeAverageLAG1 588 0.276 0.274 0.024 0.277 0.000990 0.198

Histogram Plots Hi-res picture

.
BattingAverage (n=588, mean=0.277) BattingAverageLAG
80 80
60 60
40 40
20 20
0 0
Mi n = 0.185 Mi dpoint = 0.288 Ma x = 0.390 Mi n = 0.185 Mi

.
CumulativeAverageLAG1 (n=588, mean=0.276)
100

50

0
Min = 0.198 Mi dpoint = 0.277 Ma x = 0.357

Correlation Matrix (n=588)

Variable BattingAverage
BattingAverage 1.000 BattingAverageLAG1
BattingAverageLAG1 0.481 1.000 CumulativeAverageLAG1
CumulativeAverageLAG1 0.538 0.754 1.000

Scatterplots Hi-res picture

.
BattingAverage vs. BattingAverage vs.
BattingAverageLAG1 CumulativeAverageLAG1
r = 0.481, r-squared = 0.231 r = 0.538, r-squared = 0.290
0.390 0.390

0.288 0.288

0.185 0.185
0.185 0.277 0.368 0.198 0.277 0.357

End of Output
 Maximum Skewness Kurtosis
Here are the results of a descriptive analysis of the 3 batting av
0.390 0.169 0.099 mean batting average is 0.277, and the correlation of batting av
0.368 0.094 0.053 ("LAG1") batting average is 0.481, and the correlation of batting
0.357 0.352 0.813 cumulative average is a little higher, 0.581. So, last year's cumu
slightly better predictor than last year's actual average as a pred
average.

BattingAverageLAG1 (n=588, mean=0.279)

80
60
40
20
0
Mi n = 0.185 Mi dpoint = 0.277 Ma x = 0.368

age vs.
erageLAG1
ared = 0.290

77 0.357
 25.000 12/13/18 6:24 AM on FACDS414 - Stats 1 -

riptive analysis of the 3 batting average variables. The

7, and the correlation of batting average with last year's
481, and the correlation of batting average with last year's
higher, 0.581. So, last year's cumulative average is a
last year's actual average as a predictor of this year's
AM on FACDS414 - Stats 1 - Baseball_batting_averages_with_analysis.xlsx - RegressItPC - Version
12/13/18 6:24 AM on FACDS414 - Stats 1 - Baseball_batting_averages_with_analysis.xlsx - RegressItPC - Version
Model: Model 1
Dependent Variable: BattingAverage

R-Squared Adj.R-Sqr. Std.Err.Reg. Std.Dep.Var. # Fitted # Missing t(2.50%,586)

0.290 0.288 0.026 0.031 588 0 1.964

Variable Coefficient Std.Err. t-Statistic P-value Lower95% Upper95% VIF

Constant 0.085 0.012 6.785 0.000 0.060 0.109 0.000
CumulativeAverageLAG 0.698 0.045 15.457 0.000 0.609 0.786 1.000

CumulativeAver StdErrMean StdErrFcst Predicted Lower 95% Upper 95%

Model
0.198 1 for BattingAverage
0.004 (1 variable, n=588)
0.027 0.223 0.171 0.275
Predicted
0.237 BattingAverage
0.002 = 0.085
0.026+ 0.698*CumulativeAverageLAG1
0.250 0.199 0.302
0.4 0.277 0.001 0.026 0.278 0.227 0.330
0.317 0.002 0.026 0.306 0.254 0.358
0.35 0.357 0.004 0.027 0.334 0.281 0.386

0.3 Upper 95%

Predicted
0.25
Lower 95%
0.2

0.15
0.18 0.2 0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36 0.38
CumulativeAverageLAG1

Mean Error RMSE MAE Minimum Maximum MAPE A-D* stat

Fitted (n=588) 0.000 0.026 0.021 -0.066 0.089 7.7% 0.18 (P=0.909)

Actual and Predicted

0.000 -vs- Observation #
Model 1 for BattingAverage (1 variable, n=588)
0.45

0.4

0.35

0.3

0.25

0.2

0.15
0 100 200 300 400 500 600 700

Residual -vs- Observation #

Model 1 for BattingAverage (1 variable, n=588)
0.1
0.08
0.06
0.04
 Residual -vs- Observation #
Model 1 for BattingAverage (1 variable, n=588)
0.1
0.08
0.06
0.04
0.02
0
-0.02
-0.04
-0.06
-0.08

Residual -vs- Predicted

Model 1 for BattingAverage (1 variable, n=588)
0.1
0.08
0.06
0.04
0.02
0
-0.02
-0.04
-0.06
-0.08
0.22 0.24 0.26 0.28 0.3 0.32 0.34

Histogram of Residuals
Model 1 for BattingAverage (1 variable, n=588)

80
60
40
Actual
20 Normal
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 9 0 0 8 1 0 7 2 0 6 3 0 5 4 0 4 5 0 3 6 0 2 7 0 1 8 0 0 9 0 0 0 00 9 0 1 8 0 2 7 03 6 04 5 0 5 4 0 6 3 07 2 0 8 1 0 9 0
. . . . . . . . . . . . . . . . . . . . .
-0 -0 -0 -0 -0 -0 -0 -0 -0 -0 0 0 0 0 0 0 0 0 0 0 0

Normality test (A-D*): P > 0.05

Normal Quantile Plot

Model 1 for BattingAverage (1 variable, n=588)
4
3
2
 Normal Quantile Plot
Model 1 for BattingAverage (1 variable, n=588)
4
3
2
1
0
-1
-2
-3
-4
-4 -3 -2 -1 0 1 2 3 4
Normality test (A-D*): P > 0.05

End of Output
 White No Font NoHeaders With P-value
Model 1 (#var
R code: Model.1 <- lm(BattingAverage ~ CumulativeAverageLAG1, data = BattingData)
Confidence
In the regression of batting average on previous cumulative batting average, the slope coefficient is abo
95.0% a player's batting average regresses to the mean by about 30% in a given year, relative to his prior cumu
standard error of the regression is 0.026, and the mean batting average for all players is 0.277 so roughl
Std. Coeff.
batting average between 0.250 and 0.300 (plus-or-minus 1 standard error, in round numbers) and rough
0.000
average between 0.225 and 0.325 (plus or minus 2 standard errors, in round numbers). The error distri
0.538
perfectly normal, as might be expected from the Central Limit Theorem, because the batting average st
large numbers of independent random variables (namely, 1 hit or 0 hits in each at-bat).

In this analysis, the optional teaching notes feature in RegressIt was turned on, so teaching notes that e
outputs are stored as comments in the cells with red flags in the title rows. Hover the mouse over a cel
the teaching note. You can also go to the Review menu on the Excel ribbon and click the Next and Prev
through all the cell comments, whether or not their flags are displayed.
 Editable No Comment Notes 12/13/18 6:27 AM on FACDS414 - Model 1 -
No preceding m
Model 1 last Model 1 following model is Model 2 (#vars=2, n=588, AdjRsq=0.3): BattingAverage << BattingAverageLAG1, CumulativeAverageLA

age, the slope coefficient is about 0.7, indicating that

n year, relative to his prior cumulative average. The
for all players is 0.277 so roughly 2/3 of players have a
or, in round numbers) and roughly 95% have a batting
ound numbers). The error distribution is almost
because the batting average statistics are averages of
in each at-bat).

ned on, so teaching notes that explain the various

ws. Hover the mouse over a cell with a red flag to see
bon and click the Next and Previous buttons to cycle
AM on FACDS414 - Model 1 - Baseball_batting_averages_with_analysis_stats.xlsx - RegressItPC - Version 2018.12.07
eLAG1, CumulativeAverageLAG1
12/13/18 6:27 AM on FACDS414 - Model 1 - Baseball_batting_averages_with_analysis_stats.xlsx - RegressItPC - Version 2018.12.07
Model: Model 2
Dependent Variable: BattingAverage

R-Squared Adj.R-Sqr. Std.Err.Reg. Std.Dep.Var. # Fitted # Missing t(2.50%,585)

0.303 0.300 0.026 0.031 588 0 1.964

Variable Coefficient Std.Err. t-Statistic P-value Lower95% Upper95% VIF

Constant 0.081 0.012 6.539 0.000 0.057 0.106 0.000
BattingAverageLAG1 0.180 0.055 3.302 0.001 0.073 0.287 2.318
CumulativeAverageLAG 0.528 0.068 7.748 0.000 0.394 0.662 2.318

Mean Error RMSE MAE Minimum Maximum MAPE A-D* stat

Fitted (n=588) 0.000 0.026 0.021 -0.066 0.086 7.6% 0.12 (P=0.987)

Actual and Predicted

0.000 -vs- Observation #
Model 2 for BattingAverage (2 variables, n=588)
0.45

0.4

0.35

0.3

0.25

0.2

0.15
0 100 200 300 400 500 600 700

Residual -vs- Observation #

Model 2 for BattingAverage (2 variables, n=588)
0.1
0.08
0.06
0.04
0.02
0
-0.02
-0.04
-0.06
-0.08

Residual -vs- Predicted

Model 2 for BattingAverage (2 variables, n=588)
0.1
0.08
0.06
 Residual -vs- Predicted
Model 2 for BattingAverage (2 variables, n=588)
0.1
0.08
0.06
0.04
0.02
0
-0.02
-0.04
-0.06
-0.08
0.22 0.24 0.26 0.28 0.3 0.32 0.34 0.36

Histogram of Residuals
Model 2 for BattingAverage (2 variables, n=588)

80
60
40
Actual
20 Normal
0
0 4 8 2 6 0 4 8 2 6 0 6 2 8 4 0 6 2 8 4 0
0 8 6 0 7 7 0 6 8 0 6 0 0 5 1 0 4 3 0 3 4 0 2 5 0 1 7 0 0 8 0 0 0 00 8 0 1 7 0 2 5 03 4 04 3 0 5 1 0 6 0 06 8 0 7 7 0 8 6
. . . . . . . . . . . . . . . . . . . . .
-0 -0 -0 -0 -0 -0 -0 -0 -0 -0 0 0 0 0 0 0 0 0 0 0 0

Normality test (A-D*): P > 0.05

Normal Quantile Plot

Model 2 for BattingAverage (2 variables, n=588)
4
3
2
1
0
-1
-2
-3
-4
-4 -3 -2 -1 0 1 2 3 4
Normality test (A-D*): P > 0.05
End of Output
 White No Font NoHeaders With P-value
Model 2 (#var
If last
year's batting average (BattingAverageLAG1) is added as a second regressor, this allows
the model to p
R code: Model.2 <- lm(BattingAverage ~ BattingAverageLAG1 + CumulativeAverageLAG1, data = BattingData)
slightly more weight on last year's average when measuring the player's average prior performance. Its
Confidence
coefficient turns out to be significantly different from zero, and it is of interest to look at the sum of the
95.0% coefficients of the two independent variables. Their sum is 0.180 + 0.528 = 0.702, which is almost identical
the slope coefficient of 0.698 in the previous model. The estimated constant in this model is also nearly
Std. Coeff. identical (0.81 vs. 0.85). So, this model places exactly the same overall weight on the player's prior batting
0.000 average, and it merely reallocates it among years, thus taking a weighted average rather than a simple
0.174 average. The standard error of the regression is unchanged, though, to 3 decimal places (0.026). This mod
0.407 does not yield noticeably more accurate forecasts, but it has a nice intuition nevertheless.
 Editable No Comment Notes 12/13/18 6:30 AM on FACDS414 - Model 2 -
Model 2 preceNo following model in this sequence.
essor, this allows the model to put
ta = BattingData)
rage prior performance. Its
st to look at the sum of the
0.702, which is almost identical to
t in this model is also nearly
ht on the player's prior batting
erage rather than a simple
cimal places (0.026). This model
nevertheless.
AM on FACDS414 - Model 2 - Baseball_batting_averages_with_analysis_stats_model_1.xlsx - RegressItPC - Version 2018.12.07
12/13/18 6:30 AM on FACDS414 - Model 2 - Baseball_batting_averages_with_analysis_stats_model_1.xlsx - RegressItPC - Version 2018.12.07
 Summary of Regression Model Results
1 (#vars=1, n=588, AdjRsq=0.288): BattingAverage << CumulativeAverageLAG1
eLAG1, CumulativeAverageLAG1
Linear Model For BattingAverage Model 1 Model 2
Run Time 12/13/18 6:27 AM 12/13/18 6:30 AM The model summaries wor
# Fitted 588 588 side comparisons of all mo
Mean 0.277 0.277
Standard Deviation 0.031 0.031 More details of the coeffici
Number Of Variables 1 2 comments, indicated by re
Standard Error of Regression 0.026 0.026 mouse over the cells with fl
R-squared 0.290 0.303 comments. You can also vi
0.288 0.300
Next and Previous buttons
Adjusted R-squared
Mean Absolute Error 0.021 0.021
Color coding of coefficient
Mean Absolute Percentage Error 7.7% 7.6%
significance can be turned
Maximum VIF 2.318
Colors and Fonts buttons o
Normality Test _ _
pictured below.

Coefficients: Model 1 Model 2

Constant 0.085 (0.000) 0.081 (0.000)
CumulativeAverageLAG1 0.698 (0.000) 0.528 (0.000)
BattingAverageLAG1 0.180 (0.001)
 Color Font

The model summaries worksheet shows side by

side comparisons of all models fitted.

More details of the coefficients are stored in cell

comments, indicated by red flags. Hover the
mouse over the cells with flags to see the
comments. You can also view them by hitting the
Next and Previous buttons on the Review menu.

Color coding of coefficient estimates by sign and

significance can be turned on and off via the
Colors and Fonts buttons on the RegressIt menu,
pictured below.
Comment