Descriptive Statistics
- Simple Statistical Distribution. Data tables. Numerical and categorical data. Frequency distributions. Frequency density. Statistical ratios and index numbers. Arithmetic mean. Median and percentiles. Variation. Variance, standard deviation, Relative variation: variation coefficient. Concentration. Box-plot. Skewness and Kurtosis.
- Multiple Statistical Distributions. Contingency Tables. Joint distributions, marginal and conditional distributions. Means and variance of marginal and conditional distributions. Association between statistical variables. Covariance and correlation. Linear regression: coefficients, goodness-of-fit and residuals analysis.
Probability. Events. Probability. Rules for probability. Conditional events. Conditional probability. Independent events. Random variables. Association between random variables. Probability models for count data: uniform, binomial, hypergeometric, Poisson and Gaussian.
Statistical inference. Sample distributions: Student-t.
- Point estimation. Estimators and their properties.
- Confidence estimation. Confidence level. Confidence bounds for means and proportions.
- Hypothesis testing. Null hypotheses and alternative hypotheses. Test rules. Significance level. Power of a test. Statistical tests for means and proportions.
In Italian:
M. Zenga - Lezioni di Statistica Descrittiva, Giappichelli, Torino, 2007
or Paul Newbold, William L. Carlson, Betty Thorne, Statistica 2/Ed., Pearson, 2010.
In English: Paul Newbold, William L. Carlson, Betty Thorne, Statistics for Business and Economics, Prentice Hall, 2009