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Statistics for Six Sigma Green Belts with Minitab and JMP by David M. Levine

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7.5. One-Way Anova: Testing for Differences Among The Means of Three or More Groups

Sometimes, a hypothesis test involves testing for differences in the mean level of a CTQ or Y for a CTP (X) with three or more levels. A factor (X), such as baking temperature, may have several numerical levels (e.g., 300 degrees, 350 degrees, 400 degrees, 450 degrees) or a factor such as preferred level may have several categorical levels (low, medium, high). This type of hypothesis test is called a completely randomized design.

F Test for Differences in Three or More Means

When the numerical measurements (values of the CTQ) across the groups (levels of the CTP [X]) are continuous and certain assumptions are met (see pages 140-141), you use the analysis of variance ...

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