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617 – Topics in Statistical Methods and Applications
Combining Information by Using Likelihood with Application
Myung Soon Song
SUNY Cortland
Numerical approximations are important research areas for dealing with complicated functional forms. Techniques for developing accurate and efficient calculation of combined likelihood functions in meta-analysis are studied. A multivariate numerical integration method for developing a better approximation of the likelihood for correlation matrices is studied. Analyses for inter-correlations among Cognitive Anxiety, Somatic Anxiety and Self Confidence from Competitive State Anxiety Inventory (CSAI-2) are explored. Evaluation and Visualization of the likelihood and the MLE is conducted. Comparison with two conventional methods (joint asymptotic weighted average method & marginal asymptotic weighted average method) is shown.