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Illustrate using the Karlin-Rubin Theorem to find the uniformly most powerful test on the rate of an exponential distribution. Also illustrated is showing the gamma family of distributions, when the…
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Illustrate the Neyman-Pearson Lemma to construct a uniformly most powerful test for a test of the rate of an exponential distribution.
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The Neyman-Pearson Lemma is illustrated via a test on the rate of a Poisson distribution.
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This example illustrates the level of a test vs. the size of a test using a hypothesis test on the rate of a Poisson distribution.
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In deciding to accept or reject the null hypothesis, an experimenter might be making a mistake. Usually, hypothesis tests are evaluated and compared through their probabilities of making mistakes. …
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