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Tulane University

1. Aleksandra Gorzycka. Bayesian Updating and Statistical Inference for Beta-binomial Models.

Degree: 2018, Tulane University

The Beta-binomial distribution is often employed as a model for count data in cases where the observed dispersion is greater than would be expected for the standard binomial distribution. Parameter estimation in this setting is typically performed using a Bayesian approach, which requires specifying appropriate prior distributions for parameters. In the context of many applications, incorporating estimates from previous analyses can offer advantages over naive or diffuse priors. An example of this is in the food security setting, where baseline consumption surveys can inform parameter estimation in crisis situations during which data must be collected hastily on smaller samples of individuals. We have developed an approach for Bayesian updating in the beta-binomial model that incorporates adjustable prior weights and enables inference using a bivariate normal approximation for the mode of the posterior distribution. Our methods, which are implemented in the R programming environment, include tools for the estimation of statistical power to detect changes in parameter values.

1

Aleksandra Gorzycka

Advisors/Committee Members: (author), Michelle Lacey (Thesis advisor), (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution), NULL (Degree granting institution).

Subjects/Keywords: Statistics; Bayesian Analysis

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Gorzycka, A. (2018). Bayesian Updating and Statistical Inference for Beta-binomial Models. (Thesis). Tulane University. Retrieved from https://digitallibrary.tulane.edu/islandora/object/tulane:81679

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Gorzycka, Aleksandra. “Bayesian Updating and Statistical Inference for Beta-binomial Models.” 2018. Thesis, Tulane University. Accessed August 06, 2020. https://digitallibrary.tulane.edu/islandora/object/tulane:81679.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Gorzycka, Aleksandra. “Bayesian Updating and Statistical Inference for Beta-binomial Models.” 2018. Web. 06 Aug 2020.

Vancouver:

Gorzycka A. Bayesian Updating and Statistical Inference for Beta-binomial Models. [Internet] [Thesis]. Tulane University; 2018. [cited 2020 Aug 06]. Available from: https://digitallibrary.tulane.edu/islandora/object/tulane:81679.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gorzycka A. Bayesian Updating and Statistical Inference for Beta-binomial Models. [Thesis]. Tulane University; 2018. Available from: https://digitallibrary.tulane.edu/islandora/object/tulane:81679

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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