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Full-Text Articles in Physical Sciences and Mathematics

Bayesian Sample Size Calculations In Phase Ii Clinical Trials Using A Mixture Of Informative Priors., Byron J. Gajewski, Matthew S. Mayo Aug 2006

Bayesian Sample Size Calculations In Phase Ii Clinical Trials Using A Mixture Of Informative Priors., Byron J. Gajewski, Matthew S. Mayo

Byron J Gajewski

A number of researchers have discussed phase II clinical trials from a Bayesian perspective. A recent article by Mayo and Gajewski focuses on sample size calculations, which they determine by specifying an informative prior distribution and then calculating a posterior probability that the true response will exceed a prespecified target. In this article, we extend these sample size calculations to include a mixture of informative prior distributions. The mixture comes from several sources of information. For example consider information from two (or more) clinicians. The first clinician is pessimistic about the drug and the second clinician is optimistic. We tabulate …


Non-Normal Path Analysis In The Presence Of Measurement Error And Missing Data: A Bayesian Analysis Of Nursing Homes' Structure And Outcomes, Byron J. Gajewski, Robert Lee, Sarah Thomspn, Dunton Nancy, Annette Becker, Valorie Coffland Jan 2006

Non-Normal Path Analysis In The Presence Of Measurement Error And Missing Data: A Bayesian Analysis Of Nursing Homes' Structure And Outcomes, Byron J. Gajewski, Robert Lee, Sarah Thomspn, Dunton Nancy, Annette Becker, Valorie Coffland

Byron J Gajewski

Path analytic models are useful tools in quantitative nursing research. They allow researchers to hypothesize causal inferential paths and test the significance of these paths both directly and indirectly through a mediating variable. A standard statistical method in the path analysis literature is to treat the variables as having a normal distribution and to estimate paths using several least squares regression equations. The parameters corresponding to the direct paths have point and interval estimates based on normal distribution theory. Indirect paths are a product of the direct path from the independent variable to the mediating variable and the direct path …


Inter-Rater Reliability Of Nursing Home Surveys: A Bayesian Latent Class Approach, Byron J. Gajewski, Sarah Thompson, Nancy Dunton, Annette Becker, Marcia Wrona Jan 2006

Inter-Rater Reliability Of Nursing Home Surveys: A Bayesian Latent Class Approach, Byron J. Gajewski, Sarah Thompson, Nancy Dunton, Annette Becker, Marcia Wrona

Byron J Gajewski

In the U.S., federal and state governments perform routine inspections of nursing homes. Results of the inspections allow government to generate nes for ndings of non-compliance as well as allow consumers to rank facilities. The purpose of this study is to investigate the inter-rater reliability of the nursing home survey process. In general, the survey data involves 191 binary deciency variables interpreted as ‘decient’ or ‘non-decient’. To reduce the dimensionality of the problem, our proposed method involves two steps. First, we reduce the deciency categories to sub-categories using previous nursing home studies. Second, looking at the State of Kansas specically, …