9:38 AM
Contents
Unit I: Correlation (4)
• Types of
correlation
• Computation
of correlation coefficient
• Interpretation
of r
• Rank
correlation,
• Properties
of correlation.
Unit II: Regression (6)
• Types of
relationship
• Estimation
of regression equations,
• Properties
of regression equations
• Difference
between correlation and regression
Unit III: Probability Distribution (9)
• Sample
space, events
• Probability
of an event
• Axioms
and theorems of probability
• Conditional
probability & Baye's theorem.
• Random
variables, discrete random variable, probability function, probability
distributions, cumulative distribution,
• Mathematical
expectation, moments, mean and variance,
• Uniform
distribution and its properties,
• Binomial
distributions and its properties
• Continuous
random variable, probability density, cumulative density, mean and variance
• Chebychev's
inequality and laws of large numbers,
Unit IV: Normal distributions (4)
• Meaning
and Importance
• Measure
of Divergence from Normality
• Properties:
mean and variance,
• Area
under the standard normal curves
• Z score
Unit V: Sampling Distribution and Estimation (8)
• Parameter
and statistics, sampling distribution of mean/variance
• Application
of central limit theorem
• Estimation:
Point estimation, interval estimation,
• Confidence
interval for mean and variance.
Unit VI: Test of Hypothesis (4)
• Null/alternate
hypothesis
• One/two
tailed test
• Type I
and Type II errors
• Level of
significance, critical values, test statistics
• Steps of
hypothesis testing
Unit VII Large Sample Test (5)
• Z-test:
Difference between two means of large samples with unknown population variance
Unit VIII Small Sample Test (8)
• t-test:
difference between two means of small samples with unknown common variance.
• Chi-square
test: significance of independence
• r-test: Significance of test for correlation coefficient.