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two types of chi squared tests

# two types of chi squared tests - Two types of chi square...

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Two types of chi square tests: goodness of fit test of independence Goodness of fit: The goodness of fit of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected under the model in question. What you need: a sample of data broken into categories o Think about a bag of M&Ms. This bag is a sample of all M&Ms that exist (granted very small). They can be arranged into one category, color. o Think about the pipe example we saw during class, different reasons for a pipe to have a defect (crack, rupture, other, etc.) The key with goodness of fit is that there is a sample, and one type
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Unformatted text preview: of category you are dividing the data into. • Data is categorical. Form hypotheses (always the same): Ho = The data are consistent with the hypothesized distribution Ha = The data are not consistent with the hypothesized distribution. What is the hypothesized distribution? • Unless otherwise noted, assume the sample is distributed evenly amongst the different bins of the category. So for example, if there are 6 colors of M&Ms, we can assume that there are 16.6% blue, 16.6%red, 16.6%. .. etc., to add up to 100%. • Remember, we are making this hypothesis about the population, not our sample....
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