Statistical Methods for Scientists and Engineers
Kumar, S. (Somesh) (2015-10)
Review of Probability and Distributions. Parametric Methods: Point estimation - methods of obtaining estimators. Interval estimation - confidence intervals for means, variances and proportions. Testing of Hypotheses - tests for parameters of normal populations and for proportions, Goodness of fit test and its applications. Multivariate normal, Wishart and Hotelling's T2 distributions and their applications, classification of observations, principal component analysis, canonical correlations and canonical variables. Nonparametric Methods - Empirical distribution function, single sample problems, problems of location, prediction intervals, Kolmogorov-Smirnov one sample statistics, sign test, Wilcoxon signed rank statistics, two sample problems, Mann-Whitney-Wilcoxon tests, scale problems, Kolmogorov-Smirnov two sample criterion, Hoeffding's U-statistics.
National Programme on Technology Enhanced Learning (NPTEL)