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Copyright © 2008. Jeff Sagarintm. All rights reserved.Final 2008 American League Batters thru games of September 30 Tuesday_______________________________________________________________________BATTERS ARE LISTED IN THREE TIERS: (all batters are now listed)(A) at least 3.1 plate appearances * average number of games played per team(B) between 1 and 3.1 plate appearances per game * average number of games played per team(C) between 0 and 1 plate appearances * average number of games played per teamthe headings over and within each tier tell how many plate appearancesthe batters in that particular tier havepredicted RPG = predicted runs/game of entire lineup of given player                It takes into account all of the player's offensive                statistics such as W (noting IW), HBP  SB  CS  SH  SF                as well as the normal  S  D  T  and HR.                And of equal importance it takes into account the                total OUTS made, including SO.This is the best REAL-LIFE measure of the player's true OFFENSIVE VALUE.MARKOV CHAIN analysis is the mathematical technique used._______________________________________________________________________Babe Ruth's RPG in 1921 was 15.66, was 16.73 in 1920 and 16.76 in 1923.Ted Williams's RPG in 1941 was 16.99 and Barry Bonds was 14.82 in 2001and 16.73 in 2002.-----------------------------------------------------------------------Markov Chain RPG represents REAL-LIFE offensive value,while DOLLAR$ represents FANTASY LEAGUE value._______________________________________________________________________The DOLLAR$ figure has been arrived at by comparing the player'sstatistics in the variables relative to FANTASY LEAGUES to those of allother players in his league (AMERICAN or NATIONAL), and then puttingthe results into the context of a typical fantasy league with 11-12 teams,each with 25 players (15 batters, 10 pitchers) and a $283 salary cap.The 11-12 teams is per AMERICAN or NATIONAL league.  If a fantasy leagueis a "mixed league" -- players can be chosen from BOTH major leagues,then consider the numbers as if the mixed league had 23 fantasy teams.Batters are rated on FIVE CATEGORIES:    (1) RUNS SCORED                                         (2) ONBASE (hits+walks+hbp)                                         (3) TOTAL BASES                                         (4) RUNS BATTED IN                                         (5) (SB * SB)/SBA                                             where SBA = SB + CSA sixth category, OPS is listed at the end of each player line.OPS = OnBaseAverage + SluggingAverageNote that the category ONBASE is simply the followingmeasurement of the batter's onbase total:  (H + W + HBP)And OUTS is simply (AB - H + CS)Batter and pitcher DOLLAR$ ratings do NOT take account of POSITION orSTARTING or RELIEF status for batters and pitchers respectively.By the fact that the DOLLAR$ figure is arrived at by comparing a playerto others STRICTLY within his own league (AMERICAN or NATIONAL),it could happen that better raw statistics in one league could be wortha lesser dollar figure than lesser raw statistics in the other leaguebecause they weren't as relatively good in their own league as thelesser RAW statistics were in their league.-----------------------------------------------------------------------
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