SSC CGL TIER II EXAM STATISTICS OPTIONAL PAPER SYLLABUS

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.

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

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

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