142nd APHA Annual Meeting and Exposition

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301882
Stochastic Cusp Catastrophe Model and its Sample Size Determination in Social Behavior Research

142nd APHA Annual Meeting and Exposition (November 15 - November 19, 2014): http://www.apha.org/events-and-meetings/annual
Wednesday, November 19, 2014 : 10:30 AM - 10:50 AM

Din Chen, Professor , School of Nursing, University of Rochester, Rochester, NY
Xinguang Chen , Epi, University of Florida, Gainesville, FL
Wan Tang , University of Rochester, Rochester, NY
Stochastic cusp catastrophe model can be used to model both rational and irrational social behaviors simulteanously in social behavior researches. However from design point of view, the associated statistical power analysis has never been investigated due to its complexity. In this presentation, we give an overview of this cusp catastrophe model and its application to social behavior research with real life example and propose a novel simulation-based approach to calculate the statistical power for cusp catastrophe model as well as for sample size determination. With is approach, a power curve can be produced to depict the relationship between its statistical power and samples size under different specifications. This power curve can then be used to estimate the sample size required for specified power in design and analysis data from cusp catastrophe model. The implementation of this novel approach is illustrated with data from Zeeman's cusp machine and from real behavior research.

Learning Areas:

Biostatistics, economics
Epidemiology
Social and behavioral sciences

Learning Objectives:
Discuss the overview of the novel stochastic cusp catastrophe model for social behavior research Demonstrate a novel methods to develop a sample size determination methods for this cusp model in application

Keyword(s): Behavioral Research, Biostatistics

Presenting author's disclosure statement:

Qualified on the content I am responsible for because: I am a past chair of APHS. I was a teacher and lecturer in China for ten years and taught an array of courses in mathematics and theory in probability, statistics and stochastic process. I have extensive experience in teaching, research and biostatistical consulting in collaboration with medical and public health researchers on microarray, genetics, clinical trials, environmental and toxicological applications.
Any relevant financial relationships? No

I agree to comply with the American Public Health Association Conflict of Interest and Commercial Support Guidelines, and to disclose to the participants any off-label or experimental uses of a commercial product or service discussed in my presentation.

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