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Partitioned method of valid moment marginal model with Bayes interval estimates for correlated binary data with time-dependent covariates
The fit of marginal models to longitudinal data should include modelling all extra variation among responses and covariates. This paper proposes a...
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Likelihood Ratio Tests with Box-Type Moments
In this chapter we consider statistics with Box-types of moments. Such statistics appear as various likelihood ratio statistics for multivariate...
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A multilevel structured latent curve model for disaggregating student and school contributions to learning
Educational researchers continue to debate the relative contribution of individual and environmental factors to learning. Concomitant with the...
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An Evaluation of Rater Agreement Indices Using Generalizability Theory
This study compared several rater agreement indices using data simulated using a generalizability theory framework. Information from previous...
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Types of Linear Models
The model equation for a linear model, i.e., y = Xβ + e, has two distinct terms on the right-hand side: Xβ and e. Because Xβ = E(y), we refer to any...
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Split Plot Models
This chapter introduces a cluster sampling model and then adapts that model to develop generalizations of split plot models. Split plot models are...
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Test for high-dimensional outliers with principal component analysis
We herein consider a test of outlier detection for high-dimensional, low-sample-size (HDLSS) data. Although outlier detection is a fundamental...
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D-optimal design for a model with interaction between a qualitative and a quantitative factor in the presence of random block effects
Optimal experimental designs are developed for linear models with a qualitative and a quantitative factor when there is a random block effect and the...
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Person Parameter Estimation for IRT Models of Forced-Choice Data: Merits and Perils of Pseudo-Likelihood Approaches
The Thurstonian IRT model for forced-choice data (Brown A, Maydeu-Olivares A, Educ Psychol Measur 71:460–502, 2011) capitalizes on including...
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Binary Data
Many of the results derived under the assumption that observations are continuously distributed extend to dichotomous and categorical responses....
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Specialised Statistical Procedures
In this chapter, we explore more specialised statistical procedures as well as a fundamental concept, Bayesian statistical inference. The procedures...
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On properties of Toeplitz-type covariance matrices in models with nested random effects
Models that capture symmetries present in the data have been widely used in different applications, with early examples from psychometric and medical...
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Three-level zero-inflated Conway–Maxwell–Poisson regression model for analyzing dispersed clustered count data with extra zeros
The count response variables are usually included of extra zeros. A useful tool for modeling such data is zero-inflated regression models. In the...
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Ordinal-Level Variables, II
This chapter examines measures of association designed for two ordinal-level variables that are not based on pair-by-pair comparisons. Included in...
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Multiple event times in the presence of informative censoring: modeling and analysis by copulas
Motivated by a breast cancer research program, this paper is concerned with the joint survivor function of multiple event times when their...
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Covariance structure tests for multivariate t-distribution
We derive an equation system for finding Maximum Likelihood Estimators (MLEs) for the parameters of a p -dimensional t -distribution with
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Studying the relationship between anxiety and school achievement: evidence from PISA data
Using the Programme for International Student Assessment (PISA) 2015 data for Italy, this paper offers a complete overview of the relationship...
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A robust threshold t linear mixed model for subgroup identification using multivariate T distributions
Subgroup identification has emerged as a popular statistical tool to access the heterogeneity in treatment effects based on specific characteristics...
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Ingram Olkin (1924–2016): An Appreciation for a People Person
Ingram Olkin, Professor Emeritus of Statistics and Education at Stanford University, Master of multivariate statistical analysis, linear algebra,...
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A random model for the scale parameter in the Fréchet populations
This paper deals with one-way classification analysis when the response variable follows the one-parameter Fréchet distribution and the factor...
