Decision making under uncertainty covering constructing payoff tables, uncertainty decision criteria (optimism/maximax, pessimism/maximin, equally likely/Laplace, realism/Hurwicz, regret/minimax regret criterion), risk attitude of decision makers.
Sampling and decision theory covering population and sample concepts, sampling process, advantages of sampling, biasness in sampling, sampling errors (non-sampling and sampling errors), principles of sampling (statistical regularity, inertia of large numbers), decision making environments.
Tests for Significance of Regression and Correlation
These notes covers statistical significance testing for regression and correlation coefficients using t-test and F-test methods. Covers null and alternative hypothesis formulation, confidence interval construction for regression coefficients, and correlation coefficient significance assessment. Explains F-test applications for overall regression significance with practical examples and statistical interpretation guidelines.
Statistical Inference: Hypothesis Testing, ANOVA, and Confidence Intervals Guide
Comprehensive study of statistical inference covering point and interval estimation methods with confidence intervals. Detailed hypothesis testing procedures including null and alternative hypotheses, Type I and II errors, significance levels. Explores various statistical tests: z-test, t-test, F-test, chi-square, paired t-test, and one-way/two-way ANOVA applications.
Statistical Distributions: Binomial, Normal, Chi-square – Complete Guide
This covers detailed exploration of statistical distributions covering discrete distributions including binomial, hypergeometric, and Poisson with practical applications. Examines continuous distributions focusing on normal distribution, standard normal tables, and z-score calculations. Introduces sampling distributions including chi-square, t-test, and F-test for statistical inference and hypothesis testing.