STA 238 University of Toronto W10 The Goodness of Fit & Bootstrapping Discussion

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1. Hi class. I have a question about the goodness of fit and bootstrapping. Assume there are two data samples, X and Y. Would it increase the power of the goodness-of-fit test if we “increase” a second data set with some proper bootstrapping?

2.I have one question about this week’s topic. When the test level is constant, the sample size increases, and the sampling error and the denominator value decrease. Will the power of type II error increase? Why?

3.We discussed how the goodness of fit test uses categories in which categories must be at least 5 and all must have the same probability. However, does choose to have more categories, while maintaining our assumptions make our test more accurate? If so, how can we know the maximum amount of categories we can have to have the most accurate/precise goodness fit test?

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