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I received help from Sweed to this problem in the "New to the Game" forum. I'm posting the results of that help here just in case someone else experiences what I did.
His suggestion was, "return to default settings, run autocalc, let the season play, and see what you have when done. It may fix it. If not you have a base to work off to try to figure out what might be going on."
This I did and I'm very satisfied with the results, which were:
1983 ACTUAL REPLAY DIFFERENCE
BAV .261 .266 +.005 league average
HR 3301/127 3473/134 +7 average per team
(total/avg per team)
ERRORS 3498/135 3166/122 -13 average per team
ERA 3.86 4.26 +0.40 league average
The ratings of the players remained the same, but the league stats were what I found to be reasonable.
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