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Analysis of Correlation and Regression
It is quite often that one is interested to quantify the dependence (positive or negative) between two or more random variables. The basic role of... -
Influence function-based confidence intervals for the Kendall rank correlation coefficient
Correlation coefficients measure the association between two random variables. In circumstances in which the typically-used Pearson correlation...
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Rank Correlation
This chapter discusses the rank correlation and its extensions. The rank vector is introduced in section 1. This is followed by a discussion of... -
Pearson’s Correlation
This chapter discusses the essential concepts involved in computing the Pearson’s correlation. Properties of variance, covariance and correlation are... -
Correlation and Regression
The test procedures introduced across the preceding chapters were tailored to testing difference hypotheses. This chapter turns to the complementary... -
Applications of Correlation
This chapter gives a bird’s eye view of application of correlation in various fields. A large number of R packages for this purposes are given in... -
Correlation
Moneyball is a 2011 movie about baseball and statistics. A movie about statistics that received six Academy Award nominations: best picture, best... -
Simple Linear Regression and the Correlation Coefficient
In the previous chapters, we have been primarily interested in analyzing single variables. -
Correlation: From Relationships
Correlation, or the relationship between variables, is another central concept in statistics, along with averages, variation and frequencies. Here we... -
Correlation and Regression Analysis
To investigate the relationship between quantitative variables, the most commonly used statistical techniques are correlation and regression analysis. -
Multivariate Varying Coefficient Spatiotemporal Model
As of 2020, 807,920 individuals in the U.S. had end-stage kidney disease (ESKD) with about 70% of patients on dialysis, a life-sustaining treatment....
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Consensus among preference rankings: a new weighted correlation coefficient for linear and weak orderings
Preference data are a particular type of ranking data where some subjects (voters, judges,...) express their preferences over a set of alternatives...
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Correlation and Regression
Correlation and regression are the techniques which are used to investigate if there is a relationship between two quantitative variables.... -
Estimation of odds ratio, attributable risk, relative risk, correlation coefficient and other parameters using randomized response techniques
In this paper, we first define odds ratio, attributable risk, relative risk, correlation coefficient, membership in at least one group, difference...
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Robust coefficients of correlation or spatial autocorrelation based on implicit weighting
Pearson product-moment correlation coefficient represents a fundamental tool for measuring linear association between two data vectors. In various...
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Generalized Cramér’s coefficient via f-divergence for contingency tables
Various measures in two-way contingency table analysis have been proposed to express the strength of association between row and column variables in...
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Measures of Association
This chapter starts with a discussion on the historical development of correlation coefficients. It then discusses the population and sample... -
Variable selection for multivariate functional data via conditional correlation learning
Variable selection involves selecting truly important predictors from p -dimensional multivariate functional predictors in functional predictive...
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The Test for Correlation with Metric, Ordinal, and Nominal Data
In Chap. 6 we explored the question of the relationship between two variables, i.e. how and whether two... -
Quantile varying-coefficient structural equation model
In the article, we develop a quantile varying-coefficient structural equation model in which the coefficients are allowed to vary as smooth functions...