In group average analyses, we generalize the classical one-sample t test to account for heterogeneous within-subject uncertainties associated with the estimated effects. Our test statistic is defined as the maximum likelihood ratio corresponding to a Gaussian mixed-effect model. The test's significance level is calibrated using the same sign permutation framework as in Holmes et al., allowing f...

The purpose of this study is to investigate the asymptotics of a first order auto regressive unit root process, AR(1). The goal is to determine which tests could be used to test for the presence of a unit root in a first order auto regressive process. A unit root is present when the root of the characteristic equation of this process equals unity. In order to test for the presence of a unit roo...

In classical statistics, the primary test statistic is likelihood ratio. However, for high dimensional data, ratio no longer effective and sometimes does not work altogether. By replacing maximum with integral of likelihood, Bayes factor obtained. The posterior integrals function respect to posterior. this paper, we investigate performance in hypothesis testing through problem equality two mult...

1 The central theme in case-control genetic association studies is to efficiently identify genetic markers associated with case-control status. Powerful statistical methods are critical to accomplishing this goal. A popular statistical method is the model-free Pearson's chi-square test. To achieve increased power, model-based tests have been widely used despite their lack of robustness to model...

Likelihood ratio criteria are developed for hypotheses concerning multivariate regression matrices when reduced rank is assumed or equivalently hypotheses concerning linear restrictions on regression matrices. In an econometric simultaneous equation model a single restriction may be called a ”structural equation.” A model of reduced rank in statistics is often termed a ”linear functional relati...

Saddlepoint approximations are developed for Markov random walks Sn and are used to evaluate the probability that (j − i)g((Sj − Si)/(j − i)) exceeds a threshold value for certain sets of (i, j). The special case g(x) = x reduces to the usual scan statistic in change-point detection problems, and many generalized likelihood ratio detection schemes are also of this form with suitably chosen g. W...

Over 116 million people worldwide have chronic pain and prescription dependence. In the US, opioids account for the majority of overdose deaths, and in 2014, almost 2 million Americans abused or were dependent on prescription opioids. Genetic factors may play a key role in opioid prescription addiction. Herein, we describe genetic variations between opioid addicted and non-addicted populations ...

We propose goodness of t tests for testing generalized linear models and semiparametric regression models against smooth alternatives The focus is on models having both continuous and factorial covariates As smooth extension of a parametric or semiparametric model we use generalized varying coe cient models as proposed by Hastie Tibshirani A likelihood ratio statistic is used for testing and as...