Introduction to statistics
Mean
Arithmetic Mean
Harmonic Mean
Mode
Measures of dispersion
Quartile deviation
Median
Standard Deviation
Skewness
Kurtosis
Introduction to theory of estimation
Basics of estimation theory - defenitions
Random variable & types of estimations
Consistency
Variance, unbiased estimation
Problems on maximum likelihood estimations
More problems on maximum liklihood estimation
More problems on maximum liklihood estimation
Method of moments
Method of least squares
Sampling theory
Problems on hypothesis testing - z test
More problems on z - test
Test of significance for difference of propositions - Problems
Test of significance for difference of propositions - More problems discusion
Test of significance for difference of means (Two sample means)
Chi-square distribution
Chi-square for population variance
Test of goodness of fit
Testing of significance of two attributes in a contingency table
Sampling theory - Large samples
T-test difference of mean
Paired T-testfor difference of means
More problems on method of moments
More problems on method of moments - Sufficient statistics
Factorization theorem - Sufficient statistics
Minimum sufficient statistics
Sampling theory - Small samples
T - test for difference of mean
Paired T-testfor difference of means
ANNOVA - one way
ANNOVA - two way
Regression Analysis
Regression Analysis - Method of least square analysis
Regression Analysis - Method of least square analysis
Non-parametric test- The sign test
Wilcoxing signed Rank test
Mann Whitney Test
Kolmogorov Smirnov test
Spearman Rank test