
Statistics for Investigator gradeII
Unit I 
Collection Classification and Presentation of Statistical DataPrimary and Secondary data, Methods of Data Collection, Tabulation of Data, Graphs and charts, Frequency Distributions, Diagrammatic presentation of frequency distributions. Measures of Central TendencyCommon measures of Central Tendencymean median and mode, Partition valuesquartiles, Deciles, Percentiles.

Unit II 
Measures of DispersionCommon measures dispersionrange, 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.

Unit III 
Correlation and RegressionScatter diagram, simple correlation coefficient, simple regression lines, Spearmanâ€™s Rank Correlation, Measures of association of attributes, Multiple regression, Multiple and partial correlation (for three variables only), Probability TheoryMeaning of probability, Different definitions of probability, Conditional probability, Compound probability, Independent Events, Bayesâ€™ Theorem.

Unit IV 
Random Variable and Probability DistributionsRandom 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 TheoryConcept of population and sample, Parameter and statistic, Sampling and nonsampling errors, Probability and Nonprobability 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.

Unit V 
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, Chisquare and F statistic, Confidence intervals

Unit VI 
Analysis of VarianceAnalysis of oneway classified data and twoway classified data.

Unit VII 
Time Series AnalysisComponents of time series, Determinations of trend component by different methods, Measurement of seasonal variation by different methods.

Unit VIII 
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.


