For each year I found the OPS, OBP and ISO for the entire league in innings 7-9 and divided that by the corresponding numbers for innings 1-6 (OPSRatio, OBPRatio, ISORatio). Time line charts for each are below. The slope of the trend line for each one is
OPS) -.001
OBP) -.0006
ISO) -.0018
So maybe the strongest downward trend is for ISO.
Then I divided the 88 year period into eleven 8 year periods (I know, that is arbitrary). The table below shows each ratio for each 8 year period and again, it seems like ISO is the one that has dropped off the most. For example, from 1930-37, ISO in innings 7-9 was 3.2% higher than in innings 1-6. But from 2010-2017, it was 11.7% lower.
Anyway, all three stats have generally been in relative decline in the late innings.
Period | OPSRatio | OBPRatio | ISORatio |
1930-1937 | 1.016 | 1.015 | 1.032 |
1938-1945 | 1.009 | 1.020 | 0.982 |
1946-1953 | 1.008 | 1.013 | 0.994 |
1954-1961 | 1.006 | 1.010 | 0.993 |
1962-1969 | 0.997 | 1.007 | 0.972 |
1970-1977 | 0.998 | 1.010 | 0.965 |
1978-1985 | 0.984 | 0.999 | 0.950 |
1986-1993 | 0.968 | 0.987 | 0.920 |
1994-2001 | 0.955 | 0.979 | 0.906 |
2002-2009 | 0.938 | 0.973 | 0.877 |
2010-2017 | 0.938 | 0.970 | 0.883 |
Here are the correlations between the % of batters faced by relievers and the late to early hitting ratios
OBPRatio) -.686
OPSRatio) -.771
ISORatio) -.713
So, as the % of batter faced by relievers increases, the OPS in innings 7-9 relative to innings 1-6 falls. The relationship is strong since the correlation is -.771. Squaring that (the r-squared) gets about .59, meaning that 59% of the variation across years in OPSratio is explained by changes in the % of batters faced by relievers. The more that relievers appear, the poorer the hitters do in late innings.
Here are the timeline charts
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