In several NABBP seasons it appears that the strongest team never played a series for the championship, including at least Athletic of Philadelphia in 1868 and the Cincinnati Red Stockings in 1869. The latter were undefeated, with victories over all of the leading clubs (including ultimate 1868 and 1869 champions Mutual and Atlantic), but they never faced a reigning champion in a deciding game, partly because in scheduling tours of continental scope they practically opted out.
Standings were determined by number of total wins, rather than winning percentage. Historical records of game results and player statistics may be missing or incomplete.
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I sincerely appreciate the research work, and the information being shared. It is important and interesting history.