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February 1, 2000Technometrics1,260 citations

Control Chart Tests Based on Geometric Moving Averages

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SRS. W. Roberts

Key Points

  • This research aims to evaluate the effectiveness of control chart tests based on geometric moving averages compared to those using ordinary moving averages.
  • A graphical procedure for generating geometric moving averages is described, focusing on weight assignment to observations.
  • Control chart tests are analyzed to compare their performance based on geometric vs. ordinary moving averages.
  • Geometric moving average tests show greater sensitivity to recent data changes compared to ordinary moving averages.
  • Tests based on geometric averages provide improved detection of shifts in the process compared to conventional methods.

Abstract

A geometrical moving average gives the most recent observation the greatest weight. and all previous observations weights decreasing in geometric progression from the most recent back to the first. A graphical procedure for generating geometric moving averages is described in which the most recent observation is assigned a weight r. The properties of control chart tests based on geometric moving averages are compared to tests based on ordinary moving averages.

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Cite This Study

S. W. Roberts (2000) studied this question.

synapsesocial.com/papers/6a1060a010ed65f1d0fcc0ddhttps://doi.org/10.2307/1271439
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