Hypothesis tests in fixed and mixed effects models and their applications on predictors in ANCOVA and nonparametric regression

• Grant number: 12/22603-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: February 25, 2013
• End date: March 18, 2013
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Ronaldo Dias
• Grantee: Ronaldo Dias
• Visiting researcher: Michael G. Akritas
• Visiting researcher institution: Pennsylvania State University, United States
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Let X be a vector of available covariates and Y be the response variable. Under the nonparametric model Y = m(X)+(X), Zambom and Akritas (2012) proposed a test based on methods of one-way ANOVA when the number of factor levels goes to innity. Moreover, using the results of this test Zambom e Akritas suggested a variable selection algorithm using FDR (False Discovery Control). The algorithm has good results in simulations, but its asymptotic properties are yet to be explored. Therefore, the main objective of this project is to study the theoretical asymptotic consistency of this method. Other objectives include the study of other methodologies that allow this type of hypothesis test and variable selection in mixed models. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ZAMBOM, ADRIANO ZANIN; AKRITAS, MICHAEL G.. NONPARAMETRIC LACK-OF-FIT TESTING AND CONSISTENT VARIABLE SELECTION. STATISTICA SINICA, v. 24, n. 4, p. 1837-1858, OCT 2014. (12/22603-6, 12/10808-2)