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Multi-vari chart

In quality control, multi-vari charts are a visual way of presenting variability through a series of charts. The content and format of the charts has evolved over time.

Original concept

Multi-vari charts were first described by Leonard Seder in 1950,{{Citation | publication-place = New York, New York | publication-place = New York, New York | author-link = Joseph M. Juran | publication-place = New York, New York

As originally conceived, the multi-vari chart resembles a Shewhart individuals control chart with the following differences:

The quality characteristic of interest is measured at two extremes (around its diameter, along its length, or across its surface) and these measurements are plotted as vertical lines connecting the minimum and maximum values over time.
The quality characteristic of interest is plotted across three horizontal panels that represent: :*Variability on a single piece :*Piece-to-piece variability :*Time-to-time variability
The quality characteristic of interest is plotted against upper and lower specifications rather than control limits.

Interpretation

The three panels are interpreted as follows:{{Citation | author-link = Joseph M. Juran | publication-place = New York, New York

Panel	Condition	Corrective action
Variability on a single piece	Lengths of the vertical lines (i.e., the range) exceed one-half the specifications (or more)	Repair or realignment of tool
Piece-to-piece variability	Excessive scatter	Examine process inputs for excessive variability—lengths of the vertical lines are estimates of process capability
Time-to-time variability	Appearance of a non-stationary process	Examine process inputs or steps for evidence of shifts or drifts

Recent usage

More recently, the term "multi-vari chart" has been used to describe a visual way to display analysis of variance data (typically be expressed in tabular format).{{Citation | publication-place = Milwaukee, Wisconsin

Because it is a two-dimensional representation of multiple dimensions (one for each factor in the ANOVA), the multi-vari chart is only useful for comparing the variability among at most four factors.

The chart consists of the following:

One horizontal panel for each level of the outermost factor
One cluster of points representing the minimum, mean, and maximum responses for the particular treatment combination, connected by lines for each level of the innermost factor
In the case of four factors, vertical panels for each level of the next-innermost factor
As with control charts, the vertical axis depicts the quality characteristic of interest (or experimental response)

References

Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

quality-control-tools statistical-charts-and-diagrams

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