ECO 403 STATISTICAL METHODS FOR ECONOMICS Pre-requisites for the Course: None Course Objective: Provide students the basic understanding and knowledge of statistical tools and techniques that are used in the rational decision making in the field of applied economics. On completion of the course, the students will be able to: Unit-I LO1 Understand the basic concepts of statistics and learn how to present, graph, tabulate and describe the data, use various concepts and theories of probability. Unit-II LO2 Differentiate between census and sample and obtain knowledge of various types of sampling methods and understand z, t, F, Chi-square ( 2) distributions and their estimation. Unit-III LO3 Develop and examine hypothesis testing under different sample distributions and analyses the relationship between different variables within correlation and regression models. Unit-IV LO4 Measure several types of index numbers and use them for economic analysis. Note: LO- Learning Outcome Unit I Presentation and Descriptive Analysis of Data and Probability Theory Classification and sources of data; Presentation: Graphs, Tabulation and Frequency distributions; Central tendency, dispersion, skewness, kurtosis, and moments. Classical definition of probability; Axiomatic probability: sample space and event, axioms and laws of probability, conditional probability and independence; Random variables; Discrete and continuous probability distributions, Expectation, Cumulative distribution function and probability density function; Continuous probability distributions - Normal distribution, Law of large numbers, Central Limit Theorem; Discrete probability distributions-Binomial distribution, Poisson distribution, Geometric distribution, Negative binomial distribution. Unit II Sampling Theory Census and sample; Parameters and estimators; Properties of estimators; Systematic and sampling errors; Probability and non-probability sampling techniques; Meaning of sampling distribution: z, t, F, Chi-square (2) statistic; Point and interval estimates of parameters. Unit III Tests of Hypothesis and Correlation and Regression Analysis Formulation of Statistical Hypotheses; Type I and Type II errors, Power of a test; Tests based on z, t, F and 2 statistic, Goodness-of-fit test, contingency tables and test for independence; Analysis of variance. Simple and partial correlations; Rank Correlation; correlation and covariance; Linear regression - OLS estimation of relationship between variables. Unit IV Index Numbers Concept of an index number; Problems in the construction of index numbers; Laspeyres‘, Pasche‘s and Fischer‘s Ideal Index Numbers; Wholesale Price Index Numbers and Cost of Living Index Numbers. Basic Reading David P Doane and Lori E. Seward (2008), Applied Statistics in Business and Economics, 2nd edition, McGraw-Hill/Irwin. Gupta S.P. (latest), Statistical Methods, New Delhi: Sultan Chand & Sons. Gupta, S. C. (1982), Fundamentals of Statistics, Bombay: Himalaya Publishing House. Gupta, S. C. and V K Kapoor (latest), Fundamentals of Mathematical Statistics, Sultan Chand & Sons. Additional Reading James T. McClave, P. George Benson and Terry Sincich (latest), Statistics for Business and Economics, Prentice Hall. John E. Floyd (2010), Statistics for Economists: A Beginning, University of Torontom Unpublished manuscript, available at: http://www.economics.utoronto.ca/jfloyd/stats/ecstats.pdf Nagar, A. L. and R. K. Das (1985), Basic Statistics, New Delhi: Oxford University Press.