Formal Definition of SMS

I define the Stan Musial Statistic in the formula below using the following abbreviations:

D:  number of doubles hit
T:  number of triples hit
I:  number of inside the park home runs hit
XD: number of times thrown out at second trying to stretch a single into a double
XT: number of times thrown out at third trying to stretch a double into a triple
XI: number of times thrown out at home trying to stretch a triple into an inside- the-park home run

SMS = D + 2*T + 3*I - 2XD - 3*XT - 4*XI

SMS is simply a count of the number of extra bases hitters achieve without benefit of an outside-the-park home run minus a corresponding penalty for being thrown out on the bases trying to extend hits.  Due to the limited availability of data for I, XD, XT and XI, I have developed an alternative formula which I call approximate SMS defined below.

SMSapprox = D + 2*T

With approximate SMS, we simply ignore inside-the-park home runs and the number of times a player was thrown out on the bases.  I don’t know if approximate SMS materially differs from actual SMS, but under ideal circumstances the effect of inside-the-park home runs and times thrown out on the bases would cancel each other out making approximate SMS close to actual SMS.  Intuitively, however, I expect actual SMS to be slightly smaller than approximate SMS in most cases.

 

 

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