Introduction to Statistics:
Meaning and Definition, Importance, Types, Measures of Central Tendency -Arithmetic mean, Geometric mean, Harmonic mean, Median, Quartiles, Deciles, Percentiles, Mode. Measures of Dispersion -Range, Quartile deviation, Mean deviation, Standard deviation, Variance, Coefficient of Variation. (Theory and Problem).
Correlation and Regression:
Correlation - Significance, Types, and Methods, Scatter diagram, Karl Pearson correlation, Spearman’s Rank correlation, Regression, Significance, Linear Regression Analysis, Types of regression models, Lines of Regression. (Theory and Problem).
Probability Distribution:
Concept of probability, Counting rules for determining number of outcomes - Permutation and Combination, Rules of probability- Addition and Multiplication, Baye’s Theorem. Concept of Probability Distribution, Theoretical Probability Distributions - Binomial, Poisson, Normal (Problems only on Binomial, Poisson and Normal). (Theory and Problem).
Time Series Analysis:
Objectives, Variations in Time Series. Measurement of Trend, Graphic Method, Moving Average Method, Semi-Average Method, Least Square Method. Measurement of Seasonal Variations- Method of Simple Averages, Ratio to Trend Method-Ratio to Moving Average Method, Link Relative Method. (Theory and Problem).
Hypotheses Testing:
Definition, Types, Procedure for testing, Errors in hypotheses testing. Parametric and Non-Parametric Tests -t-test, z-test, f-test, Chi-square test, u-test, K-W Test (problems on all tests).Analysis of Variance (theory only).
Computer lab for Statistics:
SPSS: Overview of SPSS, Creating, saving and editing files, Importing files from other formats. Transforming Variables - Compute, Multiple responses. Organization and Presentation of Information - Measures of Central Tendency and Variability, Frequency Distributions. Charts and Graphs, Hypotheses testing using means and cross-tabulation, Paired t, Independent sample t, Chi- square. Correlation, Regression Analysis, Linear, Logistic, Analysis of Variance- One Way ANOVA, ANOVA in regression.
Assessment Details (both CIE and SEE)
Continuous Internal Evaluation:
There shall be a maximum of 50 CIE Marks.
a) Tests (for 25Marks) and
b) Assignments, presentations, Quiz, Simulation, Experimentation, Mini project, oral examination, field work and class participation etc., (for 25 Marks) conducted in the respective course. Course instructors are given autonomy in choosing a few of the above based on the subject relevance and should maintain necessary supporting documents for same.
Semester End Examination:
The SEE question paper will be set for 100 marks and the marks scored will be proportionately reduced to 50.
Suggested Learning Resources: Books
1. S C Gupta (2018), Fundamentals of Statistics, 7th edition Himalaya Publications.
2. J K Sharma (2020), Business Statistics 5th edition Vikas Publishing House.
3. S P Gupta (2021), Statistical Methods 46th edition Sultan Chand Publications.
4. C R Kothari (2015), Research Methodology- Methods and Techniques, Viswa Prakasam Publications.
5. William E. Wagner, III (2015), Using IBM SPSS- Statistics for Research Methods and Social Science Statistics 5th edition Sage Publications.
Skill Development Activities Suggested
Course outcome (Course Skill Set)
At the end of the course the student will be able to:
CO1 Understand how to organize, manage, and present the data L2
CO2 Use and apply a wide variety of specific statistical tools L3
CO3 Understand the applications of probability in business L4
CO4 Effectively interpret the results of statistical analysis L5
CO5 Develop competence of using computer packages to solve the problems L6