I have a paper with a complete list of resampling methods, including explanations, with formulae of 7 types of bootstrapping and the approximate bootstrap method, which is really a Bayesian approach to an actual bootstrap. It was the basis for Chapter 16 in The SAGE Handbook of Quantitative Methods in Psychology edited by Millsap and Maydeau-Olivares. It's very readable and a good reference for any resampling method, permutation, jackknife, and bootstrap. If you'd like a copy please indicate that. I believe that I can upload a file to Nabble if requested.

Brian

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From: SPSSX(r) Discussion [

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Sent: Tuesday, November 21, 2017 11:11 AM

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Subject: Re: bootstrap CI for dep t confusing

Based on the nice DiCiccio and Efron article, it seems that bootstrapping using method BCa, which is available but not the default in Statistics, would be superior for CI purposes.

On Tue, Nov 21, 2017 at 4:31 AM, Michael Palij <

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Hmmm, after doing some review of literature, a couple of questions arise

(1) The bootstrap CI is supposed to be provide a better estimate of the

CI (if one believe such things) than the normal theory CI one usually

calculates either with Z or t. Situations where it appears that bootstrap CI

does worse or a situation as described by the OP, indicates some

pathological condition.

(2) One has to identify which bootstrap CI is being used because I reckon

that there are probably more than a half dozen versions.

The following article by DiCiccio and Efron provides more information on

both of these points but there are recent articles that provide additional

perspectives:

DiCiccio, T. J., & Efron, B. (1996). Bootstrap confidence intervals.

Statistical science, 189-212.

This article is available on the Project Euclid website: click on:

http://projecteuclid.org/download/pdf_1/euclid.ss/1032280214It would probably help if the OP identified which bootstrap CI method

was used. The methods are listed in the SPSS Algorithms manual.

-Mike Palij

New York University

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On Mon, Nov 20, 2017 at 9:38 PM, Bruce Weaver <

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I don't think it is uncommon for bootstrapped CIs and p-values to "disagree".

E.g.,

https://stats.stackexchange.com/questions/302928/disagreement-between-p-values-and-confidence-intervalshttps://stats.stackexchange.com/questions/29546/p-value-vs-confidence-interval-obtained-in-bootstrappingHTH.

msherman wrote

> Hi All: I just ran a dependent t-test with bootstrapping. The non

> bootstrap result provides a t test value of 2.971 (10df) with a two tailed

> p value of .014. The bootstrap results from 1000 samples provides a

> two-tailed p value of .072. So I understand that the bootstrapping might

> be in disagreement with the non bootstrap result. OK. However, when I look

> at the bootstrap 95% CI I find the interval is from 0.3636 to 1.9090. Give

> the bootstrap p value of non-significance I was expected the 95% CI to

> include 0. But it doesn't. Any ideas why I am getting such a result.

> Thanks, martin

>

>

>

>

> Martin F. Sherman, Ph.D.

> Professor of Psychology

> Director of Masters Education: Thesis Track

> Loyola University Maryland

> 4501 North Charles Street<

https://maps.google.com/?q=4501+North+Charles+Street&entry=gmail&source=g>

> 222 B Beatty Hall

> Baltimore, MD 21210

>

> 410 617-2417<tel:(410)%20617-2417>

> msherman@

>

>

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