Statistical Methods

Unit - 1 Introduction

Definition, scope, importance and limitation of Statistics, Types and method of
collection of data. Preparation of frequency distribution and their graphic presentation
including histogram. Types of series. Measures of central tendency- Mathematical
averages including arithmetic mean, geometric mean and harmonic mean. Positional
averages - mode, median and quartiles. Measure of dispersion - range, quartile,
deviation, mean deviation and standard deviation ; Absolute and relative measures.

Unit - 2 Correlation analysis

Introduction, importance and types of correlation, Measures of
correlation - scatter diagram method, Karl Pearson's coefficient of correlation,
Spearman's coefficient of rank correlation. Regression analysis: Difference between
correlation and Regression, lines of Regression, properties of Regression lines. Fitting
straight lines, Regression coefficient and their properties; estimation of dependent
variable.

Unit - 3 Probability

Definition, objective and subjective approachs, addition and
multiplication theorem of probability, permutation ande combination, conditional
probability, Bay's theorem. Probability Distribution : Binomial, Poisson and Normal
distribution-Properties and applications.

Unit - 4 Time series analysis

Utility of time series, components of time series, measurement
of trend - graphic method, moving average methods, method of least squares.
Seasonal variations- estimation of seasonal variations, method of simple averages,
ratio to trend method, ratio to moving average method.
Index number - meaning and uses of index numbers, construction of index numbers:
fixed and chain base; uni-variate and composite, Consumer price index.