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Research Methodology                                                  Hitesh Jhanji, Lovely Professional University




                    Notes                         Unit 9: Correlation and Regression


                                     CONTENTS
                                     Objectives
                                     Introduction
                                     9.1  Correlation

                                          9.1.1  Scatter Diagram
                                          9.1.2  Karl Pearson’s Coefficient of Linear Correlation
                                          9.1.3  Properties of Coefficient of  Correlation

                                          9.1.4  Merits and Limitations of Coefficient of Correlation
                                          9.1.5  Probable Error of r
                                          9.1.6  Correlation in a Bivariate Frequency Distribution

                                          9.1.7  Spearman’s Rank Correlation
                                          9.1.8  Case of Tied Ranks
                                          9.1.9  Limits of Rank Correlation

                                          9.1.10  Coefficient of Correlation by Concurrent Deviation Method
                                     9.2  Multiple Correlation
                                     9.3  Partial Correlation

                                     9.4  Regression Analysis
                                          9.4.1  Simple Regression
                                          9.4.2  Correlation Coefficient and the two Regression Coefficients

                                          9.4.3  Non-parametric Regression
                                     9.5  Summary
                                     9.6  Keywords
                                     9.7  Review Questions

                                     9.8  Further Readings

                                   Objectives

                                   After studying this unit, you will be able to:
                                      Explain the Concept of correlation

                                      Judge the Scope of correlation analysis
                                      Define the Rank Correlation
                                      Discuss the Regression analysis
                                      Describe the Simple Regression






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