7.
Product and Process Comparisons
7.1.
Introduction
7.1.2.
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What assumptions are typically made?
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Validity of tests
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The validity of the tests described in this chapter depend on the following assumptions:
- The data come from a single process come from a statistical distribution.
- The distribution is a normal distribution.
- The data are uncorrelated over time.
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An easy method for checking the assumption of a single
normal distribution is to construct a
histogram
of the data.
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| Clarification
| The tests described in this chapter depend on the assumption of normality, and the data should be examined for departures from normality before the tests are applied. However, the tests are robust to small departures from normality; i.e., they work fairly well as long as the data are bell-shaped and the tails are not heavy. Quantitative methods for checking the normality assumption are discussed in the next section.
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| Another graphical method for testing the normality assumption
is the normal probability plot.
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A graphical method for testing for correlation among
measurements is a time-lag plot. Correlation will not be a problem if measurements are
properly structured over time. Correlation problems generally
occur when measurements are made close together in time.
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