Sample size determination to detect cusp catastrophe in stochastic cusp catastrophe model: A Monte-Carlo simulation-based approach

Ding Geng Chen, Xinguang Chen, Wan Tang, Feng Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Stochastic cusp catastrophe model has been utilized extensively to model the nonlinear social and behavioral outcomes to detect the exisitance of cusp catastrophe. However the foundamental question on sample size needed to detect the cusp catastrophe from the study design point of view has never been investigated. This is probably due to the complexity of the cusp model. This paper is aimed at filling the gap. In this paper, we propose a novel Monte-Carlo simulation-based approach to calculate the statistical power for stochastic cusp catastrophe model so the sample size can be determined. With this approach, a power curve can be produced to depict the relationship between its statistical power and samples size under different specifications. With this power curve, researchers can estimate sample size required for specified power in design and analysis data from stochastic cusp catastrophe model. The implementation of this novel approach is illustrated with data from Zeeman's cusp machine.

Original languageEnglish (US)
Title of host publicationSocial Computing, Behavioral-Cultural Modeling, and Prediction - 7th International Conference, SBP 2014, Proceedings
PublisherSpringer Verlag
Pages35-41
Number of pages7
ISBN (Print)9783319055787
DOIs
StatePublished - 2014
Externally publishedYes
Event7th International Conference on Social Computing, Behavioral-Cultural Modeling, and Prediction, SBP 2014 - Washington, DC, United States
Duration: Apr 1 2014Apr 4 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8393 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other7th International Conference on Social Computing, Behavioral-Cultural Modeling, and Prediction, SBP 2014
Country/TerritoryUnited States
CityWashington, DC
Period4/1/144/4/14

Keywords

  • Monte-Carlo simulations
  • power analysis
  • sample size de-termination
  • Stochastic cusp catastrophe model

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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