- Collection, Classification and Presentation of Statistical Data:
- Primary and Secondary Data
- Methods of Data Collection
- Tabulation of Data
- Graphs and Charts
- Frequency Distributions
- Diagrammatic presentation of Frequency Distributions
- Measures of Central Tendency:
- Common measures of central tendency, mean, median and mode
- Partition Values- Quartiles, Deciles, Percentiles
- Measures of Dispersion:
- Common measures of dispersion, range, quartile deviations, mean deviation and standard deviation
- Measures of relative dispersion
- Moments, Skewness and Kurtosis:
- Different types of moments and their relationship
- Meaning of skewness and kurtosis
- Different measures of skewness and kurtosis
- Correlation and Regression:
- Scatter Diagram
- Simple correlation coefficient
- Simple regression lines
- Spearman’s rank correlation
- Measures of association of attributes
- Multiple Regression
- Multiple and Partial Correlation (For three variables only)
- Probability Theory:
- Meaning of probability
- Different definitions of probability
- Conditional probability
- Compound probability
- Independent Events
- Bayes’ Theorem
- Random variable and probability distributions:
- Random variable
- Probability functions
- Expectations and Variance of a random variable
- Higher moments of a random variable
- Binomial, Poisson, Normal and Exponential distributions
- Joint distribution of two random variable (discrete)
- Sampling Theory:
- Concept of population and sample
- Parameter and statistic, sampling and non-sampling errors
- Probability and non-probability sampling techniques (simple random sampling, stratified sampling, multi-stage sampling, multiphase sampling, cluster sampling, systematic sampling, purposive sampling, convenience sampling and quota sampling)
- Sampling distribution (statement only)
- Sample size decisions
- Statistical Inference:
- Point estimation and interval estimation
- Properties of a good estimator
- Methods of estimation (Moments method, Maximum Likelihood method, Least Square method)
- Testing of hypothesis
- Basic concept of testing
- Small sample and large sample tests
- Tests based on Z, t, Chi-square and F statistic, Confidence intervals.
- Analysis of Variance:
- Analysis of one-way classified data and two-way classified data
- Time Series analysis- Components of time series, determination of trend component by different methods, measurement of seasonal variation by different methods
- Index Numbers:
- Meaning of index numbers
- Problems in the construction of index numbers
- Types of index number
- Different Formulae
- Base shifting and splicing of index numbers
- Cost of living index numbers
- Use of index numbers
