Applied Statistics (Theory)

Paper Code:

HHD222

Credits:

Contact Hours:

3.00

Max. Marks:

100.00

Objective:

This course will enable the students to:

To understand the role of statistics and computer applications in research.
To apply statistical techniques to research data for analyzing and interpreting data carefully.

Introduction of Statistics. Classifications and Tabulation of data. Frequency Distribution. Diagrammatic(one- dimensional and two- dimensional) and Graphical presentation of data( Histogram, Frequency Polygon, Frequency curve and ogives)
Measure of Central Tendency- Mean, Median and Mode, their properties, merits and demerits.
Measure of Dispersion- Range, Quartile Deviation, Mean Deviation and standard deviation.

Concept of Probability. Properties of Normal Probability Curve and its applications.
Correlation Analysis- Definition and concept, types and measures of studying correlation (Karl Pearson’s coefficient of correlation, its assumptions, properties, merits and demerits, Spearman’s Rank correlation coefficient)
Regression Analysis- Definition, concept, uses and properties. Least Square Methods, Regression Coefficients, Fitting of Regression lines.

Sampling Distribution and Standard Error.
Elements of Testing a Statistical Hypothesis- Formulation of the problem, Types of errors
Level of significance, Large sample tests for proportions, Single mean and difference in two means.

Small sample tests- Application of t- test for testing the significance of single mean & difference in two means ( independent and paired-t).
Chi-square test for testing normal population variance.
Test for goodness of fit, independence of attributes using 2x2 and rxc contingency tables).

a)Definations of F test, application of F test for testing of equality of two variances. b)Analysis of Variance- Concept , assumptions, basic idea of one way and two way classification with simple questions.

Essential Readings:

· Gupta, S.P.: Statistical Methods, Sultan Chand and Company, New Delhi.

· Elhane,D.N.: Fundamentals of Statistics, KitabMahal,Allahbad.

References:

Simpson and Kafka: Basic Statistics, Oxford and IBH Publishers.
Goon, Gupta and Das: Fundamentals of Statistics Vol. I and II.
Snedecor and Cochran: Statistical Methods, Oxford and IBH Publishers.
Shukla,M.C. and Gulshan S.S.: Statistics Theory and Practice, Sultan Chand and Company, New Delhi.
Gupta, S.C. and Kapoor V.K.: Fundamental of Mathematical Statistics, Sultan Chand and Company, New Delhi

Academic Year:

Gurukul Marg, SFS, Mansarovar, Jaipur 302020, (Raj.) India Phone:- +91-141-2400160-61, 2397906-07, Fax: 2395494, 2781158