Statistics (Paper-II)
Tier-II Paper-II Statistics for JSO & Statistical Investigator posts — graduation level: data, central tendency, dispersion, moments, correlation/regression, probability, distributions, sampling, inference, ANOVA, time series, index numbers.
Chapters
1. Collection, Classification and Presentation of Data
Primary/secondary data, classification & tabulation, and graphical presentation.
2. Measures of Central Tendency
Mean/median/mode and partition values.
3. Measures of Dispersion
Range, quartile & mean deviation, standard deviation and relative dispersion.
4. Moments, Skewness and Kurtosis
Moments and the shape measures skewness and kurtosis.
5. Correlation and Regression
Correlation, rank correlation, regression and multiple/partial correlation.
6. Probability Theory
Probability concepts, rules and Bayes' theorem.
7. Random Variables and Probability Distributions
Random variables, expectation, and binomial/Poisson/normal/exponential distributions.
8. Sampling Theory
Sampling methods and sampling vs non-sampling errors.
9. Statistical Inference
Estimation and testing of hypothesis (Z, t, chi-square, F).
10. Analysis of Variance
One-way and two-way ANOVA.
11. Time Series Analysis
Components of a time series and trend/seasonal analysis.
12. Index Numbers
Construction, types and uses of index numbers.