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The bootstrap is a resampling method to estimate the sampling distribution of a statistic.

5 votes

Performing a power analysis on finding the mean of a single sample, non-normal dataset

You do not compare means of simple bootstrap resamples to the sample mean. That doesn't test anything. …
Glen_b's user avatar
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4 votes

Why residual bootstrap does not work for GLM?

It won't work with raw residuals for several reasons, but arguably can work - at least for some cases - with other choices. E.g pearson residuals can take care of the heteroskedasticity issue. Other c …
Glen_b's user avatar
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12 votes
Accepted

Can bootstrap resampling be used to calculate a confidence interval for the variance of a da...

Can Bootstrap Resampling be used to Calculate a Confidence Interval for the Variance of a Data Set? Yes, just as with many other statistics. … It is not always the case that if you bootstrap a mean the bootstrap means will follow a normal distribution, even for distributions for which the CLT applies. …
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1 vote
Accepted

How to define Confidence Intervals from a distribution of 1000 t-statistics?

If the sampling is without replacement, it's a permutation test; if it's with-replacement, then it would be a bootstrap test. …
Glen_b's user avatar
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11 votes
Accepted

How to sample $n$ observations from a multinomial distribution using binomial (or poisson) s...

You can do it by progressing conditionally through the categories. I'm going to work from the last category backward (for a particular reason) but it can be done in any order as long as you're consist …
Glen_b's user avatar
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1 vote

Can I use a permutation test to test the null hypothesis ''The difference between two groups...

With the null hypothesis being that the means differ by some fixed constant, and against a two sided alternative. There's a couple if ways to approach this. Here's one (which is indeed as you suggest, …
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5 votes
Accepted

What statistical tests use resampling?

Resampling methods like bootstrap and permutation tests give ways to make nonparametric tests. You can make them for all manner of situations. … If you want to do a bootstrap test of a coefficient in some complicated model, you can do that. …
Glen_b's user avatar
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4 votes

Bootstrap/Permutation test for equality of two distributions

The conflating of testing for a difference in means with testing for a difference in distributions is, unfortunately, misleading. It's important to focus on the alternatives you're trying to find. Eve …
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12 votes

Bootstrap vs. permutation hypothesis testing

intervals) from the outset, and instead focuses on trying to get reasonably good coverage in large samples (sometimes with less success than may be understood; if you haven't checked, don't assume your bootstrap … Permutation tests can work on small samples (though limited choice of significance levels can sometimes be a problem with very small samples), while the bootstrap is a large-sample technique (if you use …
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7 votes

Comparing two means using permutation test and bootstrapping with the boot() function in R

(Davison & Hinkley describe better but more complicated one sample bootstrap test than this - e.g. the studentized bootstrap in Section 4.4.1 of their book. … of the boot package Davison and Kuonen on bootstrap applications in R …
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4 votes

Sampling distribution is not normal. How is that possible?

It doesn't matter how large a sample size you choose, there's always distributions for which that sample size is not sufficient to make sample means look close to normal, even though the CLT holds for …
Glen_b's user avatar
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22 votes
Accepted

Why is power of a hypothesis test a concern when we can bootstrap any representative sample ...

What varies is the number of such bootstrap resamples. … Increasing the number of bootstrap samples gives a more "accurate" sense of that approximation, but it doesn't add any information that wasn't already there. …
Dimitris Rizopoulos's user avatar
0 votes

Is there an inductive version of a traditional hypothesis test?

If you compare a hypothesized value with a bootstrapped confidence interval for a parameter, you'd be comparing a hypothesized value to a confidence interval based on an empirical distribution from bo …
Glen_b's user avatar
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7 votes
Accepted

Why shift the mean of a bootstrap distribution when conducting a hypothesis test?

The idea is to emulate the sampling distribution under the null hypothesis (from which you get an approximate p-value). So you make a sample that's shaped like the one you have but with a mean like t …
Glen_b's user avatar
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3 votes

Finding the mean of right-censored values

The bootstrap (alone) will not help you identify the mean in the presence of censoring, and will not be much use with the median given a dataset like the one you supplied; you may be able to get some kind … of lower bound on the median in this case with a bootstrap, but you can do that nonparametrically without the need for bootstrapping. …
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