Likelihood Ratio Tests for Dependent Data with Applications to Longitudinal and Functional Data Analysis

作者：Staicu Ana Maria^*; Li Yingxing; Crainiceanu Ciprian M; Ruppert David

来源：Scandinavian Journal of Statistics, 2014, 41(4): 932-949.

DOI：10.1111/sjos.12075

• functional data
• longitudinal data
• pseudo-likelihood
• sleep health heart study
• two-sample problem

This paper introduces a general framework for testing hypotheses about the structure of the mean function of complex functional processes. Important particular cases of the proposed framework are as follows: (1) testing the null hypothesis that the mean of a functional process is parametric against a general alternative modelled by penalized splines; and (2) testing the null hypothesis that the means of two possibly correlated functional processes are equal or differ by only a simple parametric function. A global pseudo-likelihood ratio test is proposed, and its asymptotic distribution is derived. The size and power properties of the test are confirmed in realistic simulation scenarios. Finite-sample power results indicate that the proposed test is much more powerful than competing alternatives. Methods are applied to testing the equality between the means of normalized -power of sleep electroencephalograms of subjects with sleep-disordered breathing and matched controls.

• 出版日期2014-12
• 单位厦门大学