1. SA3202 Statistical Methods for Social Sciences
Part I: Categorical Data Analysis
Introduction Types of variables, Categorical data, Introducing data sets
Review of the Binomial Distribution Properties and applications, Normal approximation, Estimation, Tests of hypotheses, Confidence Intervals.
The Multinomial Distribution Basic properties and applications, Estimation, Tests of simple and composite hypotheses.
Analysis of one-dimensional tables Models for one-dimensional tables.
Goodness of fit tests. Goodness of fit tests for discrete and continuous distributions.
Comparing Proportions: Introduction (2x2 tables), estimation, Confidence intervals for the difference between two proportions, Testing of equality of proportions, The odds ratio and the log odds ratio (estimation, CI, testing independence). The chi-squared tests for comparing two populations, several populations.
Two-dimensional Tables Introduction, Probabilities, Sampling distributions, Estimation, Testing independence. Analyzing and measuring association.
Introduction to high dimensional tables
11/17/2018
SA3202, Contents

2. Part II: Nonparametric Statistical Methods
Introduction Introduction and Overview
Order Statistics Basic properties of order statistics.
Methods Using the Binomial Distribution Median and other quantiles of a distribution, Tests of hypotheses about the quantiles. CI for quantiles. The sign tests for the median and for paired observations.
Methods Using Ranks Ranks and their properties, Wilcoxon signed rank test for the median and paired observations, Wilcoxon rank-sum test for two independent samples, Mann-Whitney test for two independent samples, Kruskal-Wallis H test for completely randomized design, The rank correlation coefficient.
The Run Test The run test for randomness, The distribution of number of runs, other applications of the runs test.
11/17/2018
SA3202, Contents