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.
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