Applied Statistics (Theory)

Paper Code: 
HHD222
Credits: 
3
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.
Unit I: 
UNIT I
  1. 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)
  2. Measure of Central Tendency- Mean, Median and Mode, their properties, merits and demerits.
  3. Measure of Dispersion- Range, Quartile Deviation, Mean Deviation and standard deviation.
Unit II: 
UNIT II
  1. Concept of Probability. Properties of Normal Probability Curve and its applications.
  2. 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)
  3. Regression Analysis- Definition, concept, uses and properties. Least Square Methods, Regression Coefficients, Fitting of Regression lines.
Unit III: 
UNIT III
  1. Sampling Distribution and Standard Error.
  2. 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

Unit IV: 
UNIT IV

a)      Small sample tests- Application of  t- test for testing the significance of single mean & difference in two means ( independent and paired-t).

b)      Chi-square test for  testing normal population variance.

c)      Test for goodness of fit, independence of attributes using 2x2 and rxc contingency tables).

Unit V: 
UNIT V

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: 
2017-2018
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