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A Robust Bootstrap Control Chart for the Log-Logistic Percentiles
In this paper, we develop a robust bootstrap control chart for the problems of detecting a shift in the percentile of the log-logistic population in...
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Simultaneous Tests for Mean Vectors and Covariance Matrices with Three-Step Monotone Missing Data
In this paper, we consider simultaneous tests of the mean vectors and the covariance matrices under three-step monotone missing data for a one-sample...
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Assessing maths learning gaps using Italian longitudinal data
In the educational context, one of the main goals is to reduce the disparities among students, generally at the national level, to allow all...
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Derivation of the Percentile Based Parameters for Tukey HH, HR and HQ Distributions
In the statistical literature, there exist several systems of distributions and types of transformations. These systems can be estimated using the...
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Closed-form expressions of the run-length distribution of the nonparametric double sampling precedence monitoring scheme
A significant challenge in statistical process monitoring (SPM) is to find exact and closed-form expressions (CFEs) (i.e. formed...
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On confidence interval estimation of normal percentiles
Chakraborti and Li (Am Stat 61:331–336, 2007) considered several methods for confidence interval estimation of a normal distribution percentile. In...
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On Generating Families of Power Quantile Distributions for Modeling Waiting and Repair Times Data
In this study, we introduce a new rich family of distributions defined by a simple power quantile function. We discuss some of its interesting...
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Derivation of the percentile based Tukey distributions
The method of moments (MOM) has been extensively used in statistics for obtaining conventional moment-based estimators of various parameters....
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Statistical Tables
See Tables 10.1, 10.2, 10.3, 10.4, 10.5 and 10.6.
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Topological Inference on Electroencephalography
Statistical inference of electroencephalography (EEG) from diverse clinical groups often requires considerable technicality and computational power....
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Bayesian Methods
Earlier, Bayes’ theorem was introduced. Now Bayesian methods are described for inference and information, especially using Markov Chain Monte Carlo...
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Power and Hypothesis Testing
More details about hypothesis formulation and testing are introduced. Power curves are discussed, and bootstrap methods are described.
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Product Design: Factorial Experiments
The notion of factorial experimentation is discussed as a method for making design decisions. In particular, two-level fractional factorials and...
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Bootstrap confidence intervals for correlation between continuous repeated measures
Repeated measures designs are widely used in practice to increase power, reduce sample size, and increase efficiency in data collection. Correlation...
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Variance Components and Precision
Often the precision of performance is as important as accuracy. Methods for estimating measures of precision are described, along with associated...
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Two-piece distribution based semi-parametric quantile regression for right censored data
Widely used methods such as Cox proportional hazards, accelerated failure time, and Bennet proportional odds models do not model the quantiles...
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Comparing Correlation Tests
The Pearson product-moment correlation is widely used statistic to explore the association between two variables. To test whether the population...
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How to Apply Necessary Condition Analysis in PLS-SEM
This chapter illustrates the application of necessary condition analysisNecessary condition analysis (NCA) in the context of partial least squares...
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Summarization of Data and Theoretical Distributions
An observation or experiment with two or more possible outcomes, where the occurrence of any outcome is determined by chance, is referred to as a...
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Odds, Odds Ratios, and Comparing Proportions
Odds and odds ratios can be helpful when comparing the likelihoods to an event under two different conditions. This chapter emphasizes the use of...