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Illustrate the Karlin-Rubin Theorem and monotone likelihood ratio for an upper-tailed test on the rate of a Poisson.
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A hypothesis test might make one of two types of errors. These two types of errors traditionally have been given the names "Type I Error," and "Type II Error." If the parameter…
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The likelihood ratio method of hypothesis testing is related to maximum likelihood estimators. Likelihood ratio tests are as widely used as maximum likelihood estimation. In this lesson, we provide…
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This lesson reviews point estimation from a frequentist perspective. Method of moments and maximum likelihood methods are reviewed. Following that is a discussion of decision theory, optimal…
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Example to illustrate finding a minimal sufficient statistic for p, when population is Bernoulli(p)
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In data reduction, there are two key principles that play a role in ensuring the statistics being used are efficient in reducing the data and contain information that isn't misleading: those of…
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Two examples are provided that illustrate using the Factorization Theorem to find a sufficient statistic.
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In the previous lesson on best unbiased estimators and the Cramer-Rao Lower Bound, the concept of sufficiency was not used. We will now consider how sufficiency is a powerful tool in our search for…
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In this lesson, we briefly review the concept of sufficiency and quickly move to minimal sufficiency. Following this is a brief discussion of ancillary statistics. We then focus on complete…
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The information in a random sample is used to make inferences about an unknown parameter theta. If the sample size n is large, then the observed sample is a long list of numbers that is difficult, if…
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March 1, 2016 - E.K. Bailey Preaching Event
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