FST 156/6296 MATHEMATICS AND STATISTICS
Unit I (6 Lectures)
Introduction to statistics, Variables and Central Tendency. Measures of dispersion - Range , mean deviation, standard deviation, random variable and probability distribution.
Unit II (10 Lectures)
Normal distribution - Calculation of probability, mean and variance, standard normal curves, table values in normal distribution. Sample distribution - Random sample, sample mean, sample variance, distribution of sample mean, standard error of mean (SEM)
Unit III (8 Lectures)
Fundamentals of Chi-square distribution, t - distribution and f - distribution - their notation, curves, and able values.
Distribution of difference between sample means.
Unit IV (10 Lectures)
Testing of hypothesis - null hypothesis, alternative hypothesis - type I and type II errors. Level of significance, critical region. Normal deviate test - z- test, t- test, Fischer's t- test, Cocharan's t -test. Formula of test statistics and their application.
Unit V (8 Lectures)
Analysis of variance - one way and two way classification, ANOVA table and calculations. Correlation and regression analysis - Calculation and testing of hypothesis. Testing of hypothesis in linear and multiple regression analysis.
References
1. Elementary Statistics Allan G. Bluman
2 .Fundamental of Mathematical Statistics S.C. Gupta