21MAT434 APPLIED STATISTICS-
Unit I-
Tests of Hypothesis for a Single Sample: Hypothesis Testing, Tests on a Population Proportion- Tests on the Mean of a Normal Distribution with Variance known and unknown, Tests on the variance –Test for Goodness of fit, Contingency table tests
Unit II-
Statistical Inference for Two Samples: Inference on the Difference in Means of Two Normal Distributions, Variance Known and Unknown, A nonparametric tests for difference in Two means, Paired t test, Inference on the variances of the Two Normal Distributions.
Unit III-
Design of Experiments of Single Factor: Introduction, Completely Randomized Single Factor Experiment, computation of sum of squares, Random effect models, Randomized complete block design, computation of sum of squares.
Unit IV-
Design of Experiment with several factors: Introduction – Latin Square Design – statistical model for LSD, computation of sum of squares – two factorfactorial experiment – main and interaction effects, data and statistical model- computation of sum of squares.
Unit V-
Statistical Quality Control: Quality improvement and statistics, Introduction to control limits – control charts for variables – X-bar chart, R-chart, S chart for individual observations- attribute control charts – Control charts for Proportions and for defects per unit.
TEXTBOOKS:
REFERENCES:
1) Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers and Keying Ye, Probability and Statistics for Engineers and Scientists, 8th Edition, Pearson Education Asia, 2007
2) Ravichandran, J. Probability and Statistics for engineers, First Reprint Edition, Wiley India, 2012.