There are several stats used in baseball. Some of them are strong in predicting the future performances of the players. Some other aren't. One way of measuring that strength is using cross-year correlations of the desired variables. The following is an analysis of which stats have strong cross-year correlations.
Methodology. For pitchers I merged the data on all starters who pitched more than 50 Innings in both 2007 and 2008, a total of 115 different pitchers were retained. The same was done for position players, where 337 different players were retained that had at least 100 AB both in 2007 and 2008. It's worth noting that Spearman Correlations were used, instead of the classic Pearson Correlations, this is due to the fact that the variables used are not normal distributed, hence a non-parametric approach makes more sense.
The charts below show the Spearman Correlation of all variables analysed in descending order.
Position players (batters):
Starting pitchers:
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