tailieunhanh - Ebook Quantitative Techniques-I: Part 2 - Dr. Dilfraz Singh

Ebook Quantitative Techniques-I: Part 2 presents the following content: Correlation Analysis; Regression Analysis; Analysis of Time Series; Probability and Expected Value; Binomial Probability Distribution; Poisson Probability Distribution; .Please refer to the documentation for more details. | Quantitative Techniques I Dilfraz Singh Lovely Professional University Notes Unit 8 Correlation Analysis CONTENTS Objectives Introduction Correlation Definitions of Correlation Scope of Correlation Analysis Properties of Coefficient of Correlation Scatter Diagram Karl Pearson s Coefficient of Linear Correlation Merits and Limitations of Coefficient of Correlation Spearman s Rank Correlation Case of Tied Ranks Limits of Rank Correlation Summary Keywords Review Questions Further Readings Objectives After studying this unit you will be able to Differentiate between univariate distribution and Bivariate Distribution Categorize study of relationship between two or more variables State the definition and scope of Correlation Analysis Discuss the properties merits and demerits of coefficient of correlation Explain spearman s rank correlation Analyse the case of tied ranks and focus on limits of rank correlation Introduction So far we have considered distributions relating to a single characteristics. Such distributions are known as Univariate Distribution. When various units under consideration are observed simultaneously with regard to two characteristics we get a Bivariate Distribution. For example the simultaneous study of the heights and weights of students of a college. For such data also we can compute mean variance skewness etc. for each individual characteristics. In addition to this in the study of a bivariate distribution we are also interested in knowing whether there exists some relationship between two characteristics or in other words how far the two variables corresponding to two characteristics tend to move together in same or opposite directions . how far they are associated. 166 LOVELY PROFESSIONAL UNIVERSITY Unit 8 Correlation Analysis The knowledge of this type of relationship is useful for predicting the value of one variable Notes given the value of the other. It also helps .