Statistics for Investigator Grade-II, Ministry of Statistics
& Programme Implementation & Compiler in RGI.
SYLLABUS:
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.
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CLICK FOR CGL TIER II SYLLABUS |
CLICK FOR CGL TIER I PREVIOUS AND MODEL TEST PAPER |
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