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Title: Improved bootstrap confidence intervals in certain toxicological experiments
Authors: Φράγκος, Χρήστος Κ. (1949-)
Schucany, William R.
Item type: Journal article
Keywords: Jackknife (Statistics);Influence function;Litter effect;Overdispersion;Studentized pivotal quantity
Subjects: Social sciences
Κοινωνικές επιστήμες
Issue Date: 18-Dec-2014
Creation Date: 1994
Date of availability: 17-Dec-2014
Publisher: Taylor & Francis
Abstract: The bootstrap, the jackknife, and classical methods are compared through their confidence intervals for the proportion of affected fetuses in a common type of animal experiment. Specifically, suppose that for the ith of M pregnant animals, there are x i affected fetuses out of n i total in the litter. The conditional distribution of x i given n i is sometimes modeled as binomial (n i p i ), where p i is a realization from some unknown continuous density. The p i are not observable and it is of interest in some toxicological experiments to find confidence intervals for E(p). Theory suggests that the proposed parametric bootstrap should produce higher order agreement between the nominal and actual coverage than that exhibited by the usual nonparametric bootstrap. Some simulation results provide additional evidence of this superiority of the modified parametric bootstrap over the jack-knife and classical approaches. The proposed resampling is flexible enough to handle a more general model allowing correlation between p i and n i .
Description: Received: Sep 1994, Revised Nov 1994, Published Online: 27 Jun 2007
Language: English
Citation: Frangos, C. C. & Schucany, W. R. (1995) Improved bootstrap confidence intervals in certain toxicological experiments. "Communications in Statistics - Theory and Methods". 24 (3). p. 829-844.
Journal: Communications in Statistics - Theory and Methods
Type of Journal: With a review process (peer review)
Access scheme: Publicly accessible
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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