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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