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A Bayesian Modeling of Monotonic Ordinal Responses with Application to Maturation

Shen, Rui
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258725412

Abstract Details

2009, PhD, University of Cincinnati, Arts and Sciences : Mathematical Sciences.
In this dissertation, A bayesian approach was used to model multinomial ordinal outcomes. Responses without and with misclassication were considered. Transition probability with possible dependence on covariates and misclassification probability without covariate were modeled by multinomial logit models. Metropolis-Hasting algorithm was implemented to generate samples from posterior distribution, and then to get posterior estimates, standard deviations and confidence intervals. First models were tested by simulated data, posterior estimates were compared to the original values used to simulate data, and Deviance Information Criterion (DIC) was calculated and compared for goodness of fit. Lastly, multinomial logit models with race andage covariates were applied to the National Heart, Lung, and Blood Institute Growth and health Study (NGHS). SAS program was written mainly in PROC IML for Metropolis-Hasting algorithm and DIC calculation.
Siva Sivaganesan, PhD (Committee Chair)
James Deddens, PhD (Committee Member)
Paul Horn, PhD (Committee Member)
Bin Huang, PhD (Committee Member)
162 p.
Statistics
monotonic ordinal response; Bayesian; maturation

Recommended Citations

Citations

  • Shen, R. (2009). A Bayesian Modeling of Monotonic Ordinal Responses with Application to Maturation [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258725412

    APA Style (7th edition)

  • Shen, Rui. A Bayesian Modeling of Monotonic Ordinal Responses with Application to Maturation. 2009. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258725412.

    MLA Style (8th edition)

  • Shen, Rui. "A Bayesian Modeling of Monotonic Ordinal Responses with Application to Maturation." Doctoral dissertation, University of Cincinnati, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1258725412

    Chicago Manual of Style (17th edition)

ucin1258725412
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© 2009, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.