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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