SYLLABUS FOR TIER-II OF THE EXAMINATION:
Paper-III :
Statistics for
Investigator Grade-II, Ministry of Statistics & Programme Implementation
& Compiler in RGI.
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 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;
Expectation 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, multistage 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 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, 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, Uses
of Index Numbers.
