This course will enable the students to:
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).
Analysis of Variance- Concept , assumptions, basic idea of one way and way classification with simple questions.