In this video, you will learn about the following variables:
px - The pitch's horizontal location.
pz - The pitch's vertical location.
sz_bot - The batter's bottom-of-zone boundary.
sz_top - The batter's top-of-zone boundary.
RAD - The radius of a baseball subtracted from sz_bot or added to sz_top.
MOE - The margin of error variable applied to vertical pitch values (it is embedded within the core formula for horizontal location, since horizontal is a static entity whereas vertical changes depending on each batter's individual sz_bot and sz_top values).
For horizontal location, Umpire Expected Calls:
All else equal, |0| < STRIKE < |.748| < BORDERLINE-ABSOLUTE STRIKE < |0.831| < BORDERLINE-ABSOLUTE BALL < |.914| < BALL. This is known as the Kulpa Rule (UEFL Rule 6-2-b-1).
For vertical location, Umpire Expected Calls:
All else equal, BALL < sz_bot - RAD +/- MOE < STRIKE < sz_top + RAD +/- MOE < Ball. The borderline zone for vertical pitches is located in the span between sz_bot - RAD - MOE to sz_bot - RAD + MOE, and between sz_top + RAD - MOE to sz_top + RAD + MOE. This is known as the Miller Rule UEFL Rule 6-2-b-2).
Related Post: Podcast - Truth About Baseball's Electronic Strike Zone (6/5/19).
Video as follows:
Alternate Link: Instructional video on using pitch location variables to generate QOC (CCS)
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