CRG PhD & Masters Course 2016 Introduction to Statistics in R

Introduction to R programming language and R Studio: Data types, variables, packages, functions, handling files/scripts/projects.
Exploratory data analysis: bar-plot, histogram, box-plot, scatter-plot, pie charts. Outliers.
Basic plots in R. The ggplot2 package.
TO CHANGE TO A NEW ONE. SCRIPT.View pdf-file in this browser window.
TO CHANGE TO A NEW ONE. SLIDES.View pdf-file in this browser window.

TO MAKE UP THE OTHER TWO MODULES

LECTURE. View slides in this browser window. Independence, conditional probability, Bayes formula. Distributions, population mean and population variance, Binomial, Poisson, and Normal distribution. Central Limit theorem and the Law of large numbers. Continuity correction. Sampling with and without replacement. Correction for finite population size.
PRACTICUM. Download the zip-file. Elementary probability problems in R, pdf and cdf functions, simulation explicating the law of large numbers.
STATISTICAL TABLES
QUIZ 2

LECTURE. View slides in this browser window. Statistical Inference, part I. The concept of hypothesis testing, type I and type II error, false discovery rate. Significance and confidence level, p-value. Confidence intervals. One-sided and two-sided tests and confidence intervals. Sampling distribution, estimators, standard error. Normal probabilities in application to p-value. One-sample and two-sample tests for independent and matched samples with known variance. The case of unknown variance and Student t-distribution, assumption of normality. Pooled variance and equal variances assumption.
PRACTICUM. Download the zip-file. One- and two-sample tests with known and unknown variance, test for proportions, simulation involving confidence intervals and t-distribution.
QUIZ 3

LECTURE. View slides in this browser window. Statistical Inference, part II. Estimation of variance. Fisher test for variance equality. Non-parametric tests. Sign test, Wilcoxon sum of ranks test (Mann-Whitney U-test), Wilcoxon signed rank test. Chi-square test for goodness of fit, chi-square test for independence. Kolmogorov-Smirnov (KS) test. Shapiro test for normality. Sample size estimation. Correction for multiple testing, family-wise error rate.
PRACTICUM. Download the zip-file. Tests with unknown variance, non-parametric tests, simulations explicating non-parametric tests, FDR.
QUIZ 4

LECTURE. View slides in this browser window. Simple linear regression model, residuals, degrees of freedom, least squares method, correlation coefficient, variance decomposition, determination coefficient. Interpretation of the slope, correlation, and determination coefficients. Standard error and statistical inference in simple linear regression model. Analysis of variance (ANOVA). One-way and two-way ANOVA.
PRACTICUM. Download the zip-file. Problems on linear regression, ANOVA, data transformation.
QUIZ 5

Contents