Title: Syllabus
Course: Statistics

Syllabus of the subject Statistics valid for the academic year 2009/2010

1. Qualitative data sorting
- pivot table
- contingency table

2. Quantitative data sorting
- grouped and ungrouped frequency distribution
- histogram and frequency polygon

3. Descriptive statistics
- measures of location - percentiles, quartiles
- measures of central tendency – mean, mode, median
- measures of variability (spread) – range, variance, standard deviation, variability coefficient
- measures of skewness – coefficient of skewness
- measures of kurtosis – coefficient of kurtosis

4. Theory of probability
- normal distribution
- cumulative distribution function (CDF)
- probability density function (PDF)

5. Point and interval estimate (inferential statistics)
- point estimate of mean, variance and standard deviation
- interval estimate of mean, variance and standard deviation
- confidence level, alpha, sampling error
- population parameter, sample statistics, sample size

6. Hypothesis testing, part 1
- hypothesis test about a population mean
- hypothesis test about the difference between means of two populations (independent samples)
- hypothesis test about the difference between means of two populations (matched samples)

7. Hypothesis testing, part 2
- hypothesis test about a population variance
- hypothesis test about the variances of two populations (assuming equal / unequal variance)

8. Analysis of variance (ANOVA); Chi-square test for independence
- hypothesis test about the difference between means of more than two populations (one-way ANOVA, two-way ANOVA with or without replication)
- Chi-square test for independence, measuring the strehgth of relationship between two qualitative statistical attributes (Pearson's C, Cramer's V and Chuprov's T^2 coefficient)

9. Linear regression and correlation analysis
- regression analysis (parameter estimates, regression line)
- correlation analysis (line of the best fit --> to measure the goodness-of-fit)
- simple and multiple linear regression
- ordinary least squares (OLS), outliers, residual plots, scatter plots
- power of model, model building