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Optimal Test for One-Way Random Effect Model
The optimality of the tests has not been discussed so far. For the test for the existence of fixed effects, the locally asymptotically maximin test...
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Two-Way Random Effect Model for Correlated Cells
This chapter extends the one-way models with time-dependent errors and correlated groups dealt with in Chapter 4 to the two-way models with...
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A Random-Coefficients Analysis with a Multivariate Random-Coefficients Linear Model
Random-coefficients linear models can be considered as a particular case of linear mixed models. Different sources of variation are treated by random...
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Random Graphical Model of Microbiome Interactions in Related Environments
The microbiome constitutes a complex microbial ecology of interacting components that regulates important pathways in the host. Most microbial...
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Diagnostic test for misspecification of a random-effect distribution using the gradient function
Mixed models typically involve unobserved random-effect variables. Misspecification for a random-effect distribution is hardly avoided and may...
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Generalized mixed spatiotemporal modeling with a continuous response and random effect via factor analysis
This work focuses on Generalized Linear Mixed Models that incorporate spatiotemporal random effects structured via Factor Model (FM) with nonlinear...
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Quantile regression in random effects meta-analysis model
In meta-analysis model, due to the appearance of publication bias or outliers, as well as the small sample size, the normal assumption is usually...
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Parametric Analysis of Tampered Random Variable Model for Multiple Step-Stress Life Test
The tampered random variable (TRV) model for multiple step-stress life testing experiment was proposed by Sultana and Dewanji (Commun Stat Theory...
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Replacement model with random replacement time
In this paper, we study a replacement model under which replacements take place not at fixed time but at random time T or upon failure. We study the...
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Analysis of Two - Part Random Effects Model for Semi-Ordinal Longitudinal Response
We have proposed a new variable called semi-ordinal variable. This variable exhibits a combination of responses, with a portion of them taking on...
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One-Way Fixed and Random Effect Models for Correlated Groups
The independence between groups was imposed in Chapter 2 but this assumption is not fulfilled by some real data, e.g., stock prices. This chapter...
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One-Way Fixed Effect Model
While ANOVA for independent errors has been well-tuned, ANOVA for time-dependent errors is in its infancy. In this chapter, we extend the one-way...
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A Random-Effects Regression Model Based on the Odd Log-Logistic Skew Normal Distribution
Regression models with random effects are quite common when the data have a longitudinal or grouped structure for more flexible estimation of the...
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Two Tests of Significance for Preferred Direction in Tree Radial Growth Under a Linear-Circular Regression Model with Correlated Random Errors
To analyze tree growth statistically through annual ring widths measured in 2-D horizontal trunk sections, we propose two tests of significance...
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Functions of Random Variables
This chapter discusses single random variables and its transforms. Various types of transformations such as sum, squares, square-roots,...
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Influence measures in nonparametric regression model with symmetric random errors
In this paper we present several diagnostic measures for the class of nonparametric regression models with symmetric random errors, which includes...
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Mediation Analysis with Random Distribution as Mediator with an Application to iCOMPARE Trial
Physical activity has long been shown to be associated with biological and physiological performance and risk of diseases. It is of great interest to...
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A New Construction of Covariance Functions for Gaussian Random Fields
We develop a new approach to creating covariance functions for Gaussian random fields via point processes on the complex plane. We present two...
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Modeling random and non-random decision uncertainty in ratings data: a fuzzy beta model
Modeling human ratings data subject to raters’ decision uncertainty is an attractive problem in applied statistics. In view of the complex interplay...
