Course Content (Syllabus)
About data
Data, variables, distributions, variability, population, sample, representativeness.
Types of variables (nominal, ordinal, interval, ratio, binary with coding 0 or 1).
Descriptive Statistics
For categorical variables (absolute and relative frequencies, cumulative absolute and relative frequencies, variance and standard error of percentages).
For scale variables [min. max, range, mean, median, mode, variance, standard deviation, Coefficient of Variation-CV, standard error of mean, Quartiles (Q1=Q25, Q2=Q50, Q3=Q75), interquartile range, semi-interquartile range].
Presentation
Tables of frequencies or other statistical indices (one-way, two-way, crosstabs).
Graphs (Bar charts, Line Charts, Box-plots, Histograms, Scatter Plots), simple and comparative.
Probability Theory
The concept of Probability
Set theory
Combinations and other tools
Estimation, calculation of probabilities
Laws and theorems
Probability Algebra
Probability Distributions
Random variables (types, expectations, probability distributions)
Theoretical
For discrete random variables (Bernoulli, Binomial, Poisson, Multinomial)
For continues random variables (Normal, Standardized Normal, Uniform, Exponential)
Emphasis on Normal Distribution
Statistical or Empirical
X2 distribution
T distribution
F distribution
Finding Critical values (reading the tables at the end of the book)
Confidence intervals
For the mean of a population
For the proportion or percentage of a population
For the variance of a population
For the difference of two population means (3 cases, 2 for independent samples, 1 for paired samples)
For the difference of two population proportions or percentages (only for independent samples)
For the ratio of two population variances (independent samples)
Hypothesis testing procedures (statistical tests)
For the mean of a population
For the proportion or percentage of a population
For the variance of a population
For the difference of two population means (3 cases, 2 for independent samples, 1 for paired samples)
For the difference of two population proportions or percentages (2 cases, 1 for independent samples, 1 for paired samples)
For the ratio of two population variances (independent samples)
X2 test of independence
X2 test of homogeneity
X2 test of goodness of fit
Assumption for the above tests
Error Type I
Error Type II
Power of a test
Exploring Correlation
For categorical variables (Crosstabs, Cramer’ V, Pearson’s phi)
For scale variables (scatter plots, Pearson, Spearman)
Simple Linear Regression
Assumptions
One – way ANOVA
The ANOVA Table
Multiple comparisons of means
Assumptions
Non-parametric tests
Mann-Whitney test
Wilcoxon test
Kruskal-Wallis test