Content By Donald J. Wheeler

Donald J. Wheeler’s picture

By: Donald J. Wheeler


All data are historical. All analyses of data are historical. Yet all of the interesting questions about our data have to do with using the past to predict the future. In this article I shall look at the way this is commonly done and examine the assumptions behind this approach.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

You may occasionally encounter charts with two-sigma limits. The origins of this practice are not clear, and no real justification of this practice has been given in the literature. In this article, I will consider the theoretical and practical consequences of using two-sigma limits on a process behavior chart.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

What happens when we measure the same thing and get different values? How can we ever use such a measurement system to measure different things? By thinking of measurements as the product and the measurement procedure as the process we can use the techniques of statistical process control (SPC) to address the problems of complex measurement systems.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

Last month I looked at "The Secret of Process Adjustment." This column will review the history and purpose of specifications and look at two common ways that specifications are used in practice. Using simple examples I will illustrate the right and wrong ways to use specifications.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

When your process outcomes are not what you expect them to be it is common to adjust the process. This is not always appropriate. To understand when adjustments are appropriate, and when they are inappropriate, we will need to learn how to distinguish between the noise contained within the data and a signal that an adjustment is needed. Both the problem and the solution will be illustrated by an example from my own experience.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

Last month I described what makes the XmR chart work. This month I will describe some common failure modes for the XmR chart and show how they come from a failure to follow the two fundamental principles behind the XmR chart.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

There are two basic ideas or principles that need to be respected when creating a chart for individual values and a moving range (an XmR chart). This column will explain and illustrate these two principles for effective XmR charts.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

While an XmR chart is commonly used as a process behavior chart, it may also be used as a test of homogeneity for a finite number of values. This column explains the difference in these two uses of the XmR chart and compares the homogeneity chart with the W-ratio test, which I presented in my June column, Analysis Using Few Data, Part 1.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

I n my September column, I showed how the normal distribution is the distribution of maximum uncertainty. Now I will expand on that theme and answer the questions generated by that column.

Donald J. Wheeler’s picture

By: Donald J. Wheeler

There are two key aspects of the normal distribution that make it the central probability model in statistics. However, students seldom hear about these important aspects, and as a result they end up making many unnecessary mistakes. Read on to learn what it means when we say the normal distribution has maximum uncertainty.

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