Syllabus (STATISTICS)

Course Type: ME-1

Semester: 1

Course Code: BSTAMEA11T

Course Title: Descriptive Statistics

(L-P-Tu): 3-0-1

Credit: 4

Practical/Theory: Theory

Course Objective:

Learning Outcome: This will give the idea over common uses of statistics and how different subjects uses statistics

Unit 1

1. Statistics: Definition and scope, concepts of statistical population and sample.

2. Data: quantitative and qualitative,

3. Scales of measurement: nominal, ordinal, interval and ratio. Frequency distribution.

4. Presentation: tabular and graphical, including histogram and ogives.

Unit 2

1. Measures of Central Tendency: Mean, Median, Mode.

2. Measures of Dispersion: range, mean deviation, standard deviation, coefficient of variation, Gini’s Coefficient, Lorenz Curve. Moments, skewness and kurtosis, Quantiles and measures based on them. Box Plot. Outlier Detection. Quantile-Quantile Plot.

Unit 3

1. Bivariate data: Definition, scatter diagram, simple correlation, linear regression, principle of least squares.

2. Analysis of Categorical Data: Contingency table, association of attributes, odds ratio, Pearson’s measure, Goodman-ary response and logistic regression. Spearman’s Rank correlation.

Reading References:

Goon, A.M., Gupta, M.K. and Dasgupta, B. (2002): Fundamentals of Statistics, Vol. I& II, 8th Edn. The World Press, Kolkata.

Miller, Irwin and Miller, Marylees (2006): John E. Freund’s Mathematical Statistics with Applications, (7th Edn.), Pearson Education, Asia.

Mood, A.M., Graybill, F.A. and Boes, D.C. (2007): Introduction to the Theory of Statistics, 3rd Edn. (Reprint), Tata McGraw-Hill Pub. Co. Ltd.

Tukey, J.W. (1977): Exploratory Data Analysis, Addison-Wesley Publishing Co.

Agresti, A. (2010): Analysis of Ordinal Categorical Data, 2nd Edition, Wiley.

Freedman, D., Pisani, R. and Purves, R.(2014): Statistics, 4th Edition, W. W. Norton & Company.