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Advanced Statistical Methods - Outline

Page 1 of 4 Advanced Statistical Methods and Data Mining (Course Outline ) Timothy M. Young Professor The University of Tennessee Center for Renewable Carbon 2506 Jacob Drive Knoxville, TN 37996-4570 Page 2 of 4 Contents 1. Statistical Process Control (SPC) Review 2. Topics in Advanced Statistical Process Control Autocorrelation Nonrandom Data Simple Linear relationships Sample correlation coefficient (r) Properties of r Is r statistically significant? Exercise Autocorrelation coefficient (lag 1) r1 Autocorrelation s Effect on Control Limits X-Individual Control Charts Adjusted for Autocorrelation The Exponentially Weighted Moving Average EWMA) with Control Limits The EWMA statistics and control limits when data are autocorrelated Control Charts for the Coefficient of Variation Multivariate control charts Hotelling s T2 Statistic Exercise Autocorrelation Exercise - EWMA

Page 2 of 4 Contents 1. Statistical Process Control (SPC) Review 2. Topics in Advanced Statistical Process Control Autocorrelation – Nonrandom Data Simple Linear relationships Sample correlation coefficient (r) Properties of r Is r statistically significant? Exercise Autocorrelation coefficient (lag 1) – r1

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