publication . Preprint . 2012

Mirror bootstrap method for testing hypotheses of one mean

Varvak, Anna;
Open Access English
  • Published: 17 May 2012
The general philosophy for bootstrap or permutation methods for testing hypotheses is to simulate the variation of the test statistic by generating the sampling distribution which assumes both that the null hypothesis is true, and that the data in the sample is somehow representative of the population. This philosophy is inapplicable for testing hypotheses for a single parameter like the population mean, since the two assumptions are contradictory (e.g., how can we assume both that the mean of the population is $\mu_0,$ and that the individuals in the sample with a mean $M \ne \mu_0$ are representative of the population?). The Mirror Bootstrap resolves that conu...
free text keywords: Statistics - Methodology, 62G10
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