Correlation and Regression

M. Ataharul Islam () and Abdullah Al-Shiha ()
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M. Ataharul Islam: University of Dhaka, ISRT
Abdullah Al-Shiha: College of Science, King Saud University, Department of Statistics and Operations Research

Chapter Chapter 9 in Foundations of Biostatistics, 2018, pp 277-343 from Springer

Abstract: Abstract The concepts of correlation and regression are introduced in this chapter. The measures of correlation are discussed for both Pearson’s product-moment and Spearman’sSpearman rank correlation coefficient rank correlationRank correlation and the important properties of correlation coefficient are discussed with examples. The estimation and test procedures for population correlation coefficientConfidence interval for correlation coefficient are illustrated. Both the simple and multiple regressionRegression multiple models are also introduced with necessary theoretical background with examples. The method of least squares is demonstrated for estimating regression parametersParameter . The variancesVariance are obtained and unbiasedUnbiased estimatorEstimator of the variance is shown. The properties of estimators of regression parameters are also highlighted. The coefficient of multiple determinationCoefficient of multiple determination , the F testsF test for a regression model and Wald tests for testing the significance of regression parameters are illustrated. The analysis of varianceVariance and the components of variance are shown too. The extra sum of squares principle is also introduced in this chapter. The procedures of constructing the confidence intervals of the regression parameters are included in this chapter. This is a self-explanatory chapter on the concepts and techniques of correlation and regression with many illustrations.

Date: 2018
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DOI: 10.1007/978-981-10-8627-4_9

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