Statistics PhD defense: John Carl Pesko

Event Type: 
Colloquium
Speaker: 
John Pesko
Event Date: 
Wednesday, March 22, 2017 -
3:00pm to 4:30pm
Location: 
SMLC 352
Audience: 
General Public
Sponsor/s: 
Statistics group

Event Description: 

Title: 

Parametric Bootstrap and Objective Bayesian Testing with Applications to Heteroscedastic ANOVA

 

Abstract:

Testing for differences in group means in the presence of heteroscedasticity (different variance terms for each group) is a problem with a rich history. Krishnamoorthy (2007) demonstrated that the parametric bootstrap (PB) approach is very effective, even for small samples. We note that there is a close relationship between the PB approach and Objective Bayesian (OB) approaches to testing, demonstrating the conditions for which the two are equivalent. PB and OB performance is compared to that of the unweighted test of Akritas & Papadatos (2004) with a simulation study. We expand our purview to testing for fixed effects in the randomized complete block design (RCBD) with subsampling when we allow for heteroscedastic error terms, proposing new solutions to this problem in the form of OB and unweighted tests, and derive the asymptotic distribution of this new unweighted test statistic. Finally, we prove a repeated sampling property and large sample property for general OB significance testing.

Event Contact

Contact Name: John Pesko

Contact Email: jpesko@unm.edu