Probability Distributions for Discrete and Continuous Variables
Discrete distributions:
Continuous distributions:
Evaluation of Statistical Parameters
M3: Test of significance for Small and large samples
Large Sample Tests
Test for a single proportion
Test for difference of proportions
Test for a single mean
Test for difference of means
Test for difference of standard deviations
Small Sample Tests
Test for single mean
Test for difference of means
Test for correlation coefficients
Test for ratio of variances
Chi-Square Test
Goodness of fit
Test for independence of attributes
M4: Numerical Methods for Solutions of Equations
Solution of Simultaneous Linear Equations
-- Jacobi’s method
-- Gauss-Seidel method
Solution of Algebraic and Transcendental Equations
-- Bisection method
-- Newton-Raphson method
-- Regula-Falsi method
Interpolation Methods
-- Interpolation using finite differences
-- Relation between operators
-- Newton’s forward and backward difference formula
-- Interpolation for unequal intervals:
---- Newton’s divided difference formula
---- Lagrange’s interpolation formula
M5: Numerical Methods for Differentiation and Integration
