Coming soon
Testing Of Hypothesis
This paper is designed to familiarize the students with concept of testing and Non- Parametric Inference
Definition, Simple and Composite hypotheses. Null and Alternative Hypotheses, two Types of errors in sampling ,critical region , level of significance critical and p-values, statistical test: one tailed and two tailed test, Power and size of the test
Idea of most powerful test, uniformly most powerful test, types of randomized and non randomized test, Neyman Pearson Lemma and its application for finding BCR. BCR in case of Binomial, Poisson and of normal and exponential populations
Defination , uses and applicatons, joint and marginal distributions of r th and s th order statistics, distributions of range and median (when n is odd)
Elementary of Wald’s sequential testing, sequential probability ratio test with essential and optimum properties (without proof).
Definition merits and limitations, Sign test for univariate and bivariate distributions, Run test and Median test for small and large samples.
1. Goon, A.M., Gupta, M.K. and Dasgupta, B. Das (1991): An Outline of Statistics,
Volume II, The World Press Pvt Ltd, Calcutta
2. Gupta, S.C. and Kapoor, V.K.: Fundamentals of Mathematical Statistics, S Chand &
Company, New Delhi.
3. Mood Alexander M., Graybill Frankline and Boes Duane C.: Introduction to Theory of Statistics, Mc Graw Hill & Company Third Edition
1. Rohatgi, V.K.(1967): An Introduction to Probability Theory and Statistics, John Wiley And Sons.
2. Casella,G. and Berger, Roger L.: Statistical Inference, Duxbury Thompson Learning ,Second Edition.
3. Snedecor, G.W. and Cochran, W.G. (1967): Statistical Methods, Iowa State University Press.
4. Gibbons, J. Dickinson and Chakraborthy, S.: Nonparametric Statistical Inference,
CRC, Fourth Edition.
5. Rohatgi, V.K. and Saleh, A.K. Md. Ehsanes (2001): An Introduction to Probability
Theory and Statistics, Second Edition, John Wiley andSons.
6. Wald, Abraham(1947): Sequential Analysis, New York: John Wiley & Sons.
