Candidates who chose Statistical Investigator Grade II & Compiler Post should take the Paper III of the CGL Tier 2 Exam mandatorily. The paper is for 200 marks and consists of 100 questions. Find below the detailed syllabus of Statistics optional paper for Statistical Investigator Grade II & Compiler Post.
SSC CGL TIER II EXAM STATISTICS OPTIONAL PAPER SYLLABUS
Statistics |
Optional for others but compulsory for candidates who opt for Statistical Investigator Grade II & Compiler |
100 Questions |
200 Marks |
STATISTICS OPTIONAL PAPER FOR STATISTICAL INVESTIGATOR GRADE II & COMPILER POST
Measures of Central Tendency
- Common measures of central tendency mean and Mode
- Partition values – quartiles, deciles and percentiles
Measures of Dispersion
- Common measures 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
Correlation and Regression
- Scatter Diagram
- Simple correlation coefficient
- Simple regression lines
- Spearman’s rank correlation
- Measures of association of attributes
- Multiple aggression
- Multiple and partial correlations (For three variables only)
Probability Theory
- Different definitions of probability
- Conditional probability
- Compound probability
- Independent events
- Bayes’ theorem
Random Variable and Probability Distributions
- Random Variable
- Probability Functions
- Expectation and Variance of a random variable
- Higher moments of a random variable
- Binomial
- Poisson
- Normal and Exponential distributions
- Point distribution of two random variable
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, multistage sampling, multiphase sampling, cluster sampling, systematic sampling, purposive sampling, convenience sampling and quota sampling
- Sampling distribution
- Sample size decisions
Statistical Interference
- Point estimation and interval estimation
- Properties of a good estimator
- Methods of estimation
- Moments method, Maximum likelihood method, Least squares 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
- Determinations of trend component by different methods
- The measure of seasonal variation by different methods
Index Numbers
- Meaning of the Index Numbers
- Problem in the construction of index numbers
- Types of index number
- Different formulae
- Base shifting and splicing of index numbers
- Cost of living index numbers
- Uses of Index Numbers