STATISTICAL INFERENCE

B.A/B.Sc., STATISTICS (WITH MATHMATICS)

REVISED SYLLABUS

CBCS/SEMESTER SYSTEM (W.E.F 2020-21 ADMITTED BATCH)

SEMESTER – III

PAPER-3: STATISTICAL INFERENCE

 

UNIT-I

Concepts: Population, Sample, Parameter, statistic, Sampling distribution, Standard error. Central limit theorem (statement only). Student’s t- distribution, F – Distribution, χ²-Distribution: Definitions, properties and their applications (No need of derivatiions)

UNIT-II

Theory of estimation: Estimation of a parameter, criteria of a good estimator – unbiasedness, consistency, efficiency, &sufficiency and Statement of Neyman’s factorization theorem. Estimation of parameters by the method of moments and maximum likelihood (M.L), properties of MLE’s. Binomial, Poisson & Normal Population parameters estimate by MLE method. Confidence Intervals.

UNIT-III

Testing of Hypothesis: Concepts of statistical hypotheses, null and alternative hypothesis, critical region, two types of errors, level of significance and power of a test. One and two tailed tests. Neyman-Pearson’s lemma. Examples in case of Binomial, Poisson, Normal distributions.

UNIT – IV

Large sample Tests: Large sample test for single mean and difference of two means, confidence intervals for mean(s). Large sample test for single proportion, difference of proportions, Standard deviation(s) and Correlation coefficient(s).

Small Sample tests: t-test for single Mean, difference of Means and Paired t-test. 2-test for Goodness of fit and Independence of attributes. F-test for Equality of variances.

UNIT – V

Non-parametric tests– Definition, advantages and disadvantages, comparison with Parametric tests. Measurement scale- nominal, ordinal, interval and ratio. Sign, Run, Median tests for two Large Samples only.

TEXT BOOKS

1. BA/BSc II year statistics – statistical methods and inference – Telugu Academy by A.Mohanrao, N.Srinivasa Rao, Dr Sudhakar Reddy, Dr T.C. Ravichandra Kumar.
2. V.S. Sarma: Statistics Made Simple: Do it yourself on PC. PHI.

REFERENCE BOOKS:

1. Fundamentals of Mathematics statistics : VK Kapoor and SC
2. Outlines of statistics, Vol II : Goon Guptha, M.K.Guptha, Das Guptha
3. Introduction to Mathematical Statistics :Hoel G.
4. Hogg Tanis Rao: Probability and Statistical Inference. 7th edition.