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Lectures 2 and 3 - Goodness-of-Fit (GoF) Tests

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... (a) Find the sample correlation coefficient. r = 0.679 (b) Test the significance of the correlation coefficient at α = 0.05. Use the t-test for the null hypothesis H0 : ρ = 0. H0 : ρ = 0, critical region: t < −2.776 or z > 2.776, test statistic: t = 1.8497, decision: do not reject H0 (c) Determine the eq ...
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... • Laboratory B—Laboratory B obtained an average 10.01. This result is in direct contrast to that of Lab. A. The average 10.01 is very close to our known true value of 10.00. We therefore can characterize the data as accurate and without substantial systematic error. However, the spread of the result ...
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... exceeds critical value). We may decide this value of sample mean is too improbable under the null and reject the null, but this does not mean it is impossible. We could hang an innocent person. Type II Error: not rejecting a null that is, in fact, false. We may find an average weight of 370 grams a ...
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Conducting a User Study

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Resampling (statistics)

In statistics, resampling is any of a variety of methods for doing one of the following: Estimating the precision of sample statistics (medians, variances, percentiles) by using subsets of available data (jackknifing) or drawing randomly with replacement from a set of data points (bootstrapping) Exchanging labels on data points when performing significance tests (permutation tests, also called exact tests, randomization tests, or re-randomization tests) Validating models by using random subsets (bootstrapping, cross validation)Common resampling techniques include bootstrapping, jackknifing and permutation tests.
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