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Control Charts

Control Charts. Johnson, R.A. and D.W. Wichern (2007). Applied Multivariate Statistical Analysis, 6 th . E d. Pearson, Upper Saddle River, N.J. Montgomery, D.C. (1991). Introduction to Statistical Quality Control, 2 nd . Ed. John Wiley and Sons, New York.

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Control Charts

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  1. Control Charts Johnson, R.A. and D.W. Wichern (2007). Applied Multivariate Statistical Analysis, 6th. Ed. Pearson, Upper Saddle River, N.J. Montgomery, D.C. (1991). Introduction to Statistical Quality Control, 2nd. Ed. John Wiley and Sons, New York.

  2. Univariate Control Chart for a Mean

  3. Example – NFL Home Team Point Spread Deviation by Week – 2018

  4. The “Spread Differential Process” varies, but never becomes “out of control”

  5. Univariate Control Chart for a Standard Deviation

  6. Example – NFL Home Team Point Spread Deviation by Week – 2018

  7. The standard deviation varies, but never gets “out of control”

  8. Multivariate Control Charts with 1 Observation per Time Point

  9. Example – Wilt Chamberlain’s 1961-2 Regular Season

  10. Game 76: 25 Rebounds 100 Points Note that 4/80 games fall outside the 95% Confidence ellipsoid, with 2 very extreme games (one with respect to points and not rebounds, the other with respect to both) Game 24: (3 OT) 43 Rebounds 78 Points

  11. Games 24 (43 Rebounds, 78 Points, 3 OTs) and 76 (25 Rebounds, 100 Points) are “out of control” – especially for the opposing team

  12. Multivariate Control Chart for Process Variation

  13. Example – NFL Point Spread and O/U Differentials by Week - 2018

  14. Week 10 had an exceptionally large Generalized Variance (and Week 17 was large as well)

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