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"All Baseball" Quality Matrix (Qmax) Glossary
by Don Malcolm

S
  Abbreviation for "Stuff," the hit prevention component of QMAX and the vertical axis in the matrix. Measured by H-IP. Divided into seven value ranges.

C
  Abbreviation for "Command," the walk prevention component of QMAX and the horizaontal axis in the matrix. Measured by BB-IP. Divided into seven value ranges.

Here are the ranges for the Qmax values.

             S - stuff            C - command
Value       Range (H - IP)       Range (BB - IP)
-------+---------------------+-------------------+
  1          -4 or lower          -7 or lower
  2         -3.67 - -2.00        -6.67 - -6.00   
  3         -1.67 - -0.33        -5.67 - -4.00
  4           Exactly 0          -3.67 - -2.00
  5          0.33 - -0.33        -1.67 - -0.33
  6          2.00 -  3.67          Exactly 0
  7          4.00 or higher        0 or higher

T
  Abbreviation for "Total," the sum of the "S" and "C" QMAX values that is used when computing QMAX averages. Like ERA, the lower a "T" value is, the better.

Success square (SS)
  Term for fifteen of the forty-nine matrix sectors that produce the most team and pitcher wins. Pitchers reach this region about half the time. Measured as a rate stat by SS%.

IMAGE: Success Square

Elite square (ES)
  Term for the four leftmost and topmost sectors within the Success Square, which produce aggregate team winning percentages above .800. Pitchers reach this region about 12% of the time. Measured as a rate stat by ES%.

IMAGE: Elite Square

Big game percentage
  Value derived from measuring the percentage of starts in the Success Square that fall in the Elite Square. ES/SS. Abbreviated BG%.

Hit hard region (HH)
  The portions of the "S" axis that include all sectors from 6,1 to 7,7. Games where the pitcher gives up many more hits than innings pitched. About one third of all games were found in this region from 1994-97. Measured as a rate stat by HH%.

IMAGE: Hit Hard region

Soldier of fortune region (SF)
  A small group of four sectors from 5,1-6,2 below the Success Square where pitchers with exceptional control can work effectively despite giving up more hits than innings pitched. Measured as a rate stat by SF%.

Tommy John region (TJ)
  An expansion of the above region to include 4,1-4,2 and 7-1, 7-2 games. Measured as a rate stat by TJ%. Named after a certain wiley veteran.

Tommy John Region

Power precipice (PP)
  The region at the right edge and to the right of the Success Square where pitchers can pitch effectively despite giving up an average of more than six walks per nine innings, due to exceptional hit prevention. Abbreviated PP. Measured as a rate stat by PP%.

Power Precipice Region

Transition quotient
  Value derived from dividing PP% by HH%. The greater the number, the more evolutionary development a pitcher is likely to have. MLB average in 1997 was .26; Randy Johnson's value was 3.50. Abbreviated TRq.

QMAX ERA values
  The aggregate ERA, in this case from 1994-96, for each of the forty-nine QMAX sectors (1,1-7,7). As shown in the diagram.

IMAGE: QERA

QMAX Averages
  QMAX "S" and "C" sums for a given pitcher, team, or league divided by the number of starts made. League values for the past four years in each league are shown below:

Year	Lg	S	C	Lg	S	C
1994	AL	4.26	3.51	NL	4.06	3.27
1995	AL	4.22	3.61	NL	4.05	3.34
1996	AL	4.41	3.57	NL	4.07	3.34
1997	AL	4.29	3.47	NL	3.96	3.40

QMAX Range Data
  Breakouts of each axis by groupings of value ranges. The standard breakouts are: for the hit prevention ("S") axis, S1-2, S3-5, S6-7 (note that S6-7 corresponds to the "HH" region); for the walk prevention ("C") axis, C1, C2-3, C4-5, C6-7. As shown in the sample entry:

        Pct of starts in QMAX axes by ranges
           Hit prevention         Walk prevention
Pitcher	  S1-2  S3-5  S6-7    C1   C2-3   C4-5   C6-7
MLB 1997  27.3  39.5  33.1  11.6   42.9   36.4   8.9

QMAX Winning Percentage (QWP)
  The sum of each start's aggregate team winning percentage based on its location in the QMAX matrix divided by the number of starts. Produces a similar result as park-adjusted or support-neutralized won-loss simulations. Pitchers can be ranked by both QMAX averages or by QMAX winning percentages.

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