## Infield hit and bunt hit aging

Mike McGinnis

A 40-year old Ichiro has to have slowed down some since his debut in the majors. But how has this affected ability to reach on infield and bunt hits?

The infield hit has been talked about recently here at Beyond the Box Score. Just a few dasy ago, Nick Ashbourne discussed how Ichiro has lost his crown as the infield hit king. Now, Ichiro has historically been one of the best at exceeding expectations in the “stealing first" department. I looked at this prior to the 2013 season, when Ichiro had 7 of the top 25 seasons for Batting Average minus Expected Average (Calculated as if Ichiro reached a league-average percentage of times on infield hit opportunities).

At that point, it seemed like Ichiro's ability to beat out infield singles was in decline. Then, he put up a differential of 0.054, getting 19 more infield and bunt hits than expected based on the league average. This brings up the question, how does the ability to beat out infield hits and bunts age?

Again, this will be looked at through the lens of batting average minus expected average described in the linked article. This allows us to take some yearly league variation into account. So, after calculating the difference for each Player-Season with more than 200 PAs, we have the following plot.

While it is a little difficult to see the decrease in the mean difference above, we can provide each of the mean differences by age.

Age Mean Diff
20 0.0046
21 0.0047
22 0.0035
23 0.0018
24 0.0015
25 0.0008
26 0.0003
27 0.0010
28 0.0008
29 -0.0002
30 -0.0008
31 -0.0011
32 -0.0017
33 -0.0020
34 -0.0022
35 -0.0015
36 -0.0018
37 -0.0027
38 -0.0023
39 -0.0048
40 -0.0016

In the population as a whole, it appears that there are 3 group: Ages 20-24, means above 0.001, 25-30, with means in (-0.001, 0.001), and 31-40, means lower than -0.001. Overall, we see an expected downward trend as players age.

However, if we look at comparing player change from year to year, things look a little different. After we set the number of ABs, PAs, ground balls, bunts, and calculate the difference between real and expected average, we get the following.

The average value of this change in Diff constantly hovers around 0. So how does the average Diff of the population decrease, while individual players show much less change once we've held AB, PA, GB, and BU constant?

One possible explanation is the seemingly slight increase in GB% as players age. From the same data set, looking at the change in GB%, there's a slight (And I do mean slight) upward trend.

Now, this is just a small percentage difference on average, but over an average season of the data set, say 400 at bats, this can increase the number of GB by around four (Difference between an average age-29 and age-39 season). If you substitute in the league-average levels for IFH% and non-IFH% for both the age-29 and age-39 seasons, you would get a difference in Diff of 0.00314, which mirrors the actual difference in mean Diff (0.0046, from the table above) pretty nicely. This is not an entire explanation of course, but it might be a contributing factor.

There are of course many other extra factors to consider in how speed ages. There are many vast injury and bio-mechanical reasons that I don't understand and that could be difficult to include if I did understand. And of course, simple regression to the mean could explain a portion of this. However, it seems reasonable to say that, as a population, players beat out fewer ground balls as they age. Any definitive statement beyond that regarding causation would require some serious digging.

. . .

Statistics courtesy of FanGraphs.

Stephen Loftus is a featured writer at Beyond The Box Score. You can follow him on Twitter at @stephen__loftus.

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