# STATISTICS

SECS-S/01 - 9 CFU - 1° Semester

### Teaching Staff

SALVATORE INGRASSIA

## Detailed Course Content

Simple Statistical Distribution. Data tables. Numerical and categorical data. Frequency distributions. Frequency density. Statistical ratios and index numbers. Arithmetic mean, geometric mean, harmonic mean. Median and percentiles. Variation. Variance, standard deviation, Relative variation: variation coefficient. Concentration. Box-plot. Asymmetry.

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.

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, Poisson. Gaussian probability model. Skewness and Kurtosis.

Statistical inference. Sample distributions: Student-t, chi-square, F-Snedecor. Point estimation. Properties of estimators. Methods of estimation: substitution principles, method of least squares, maximum likelihood estimates.
Confidence estimation. Confidence level. Confidence bounds for means, variances, proportions.
Hypothesis testing. Null hypotheses and alternative hypotheses. Test rules. Significance level. Power of a test. Statistical tests for means, variances, proportions; comparison of means, variances, proportions.

Statistical models. The simple regression model. Goodness of fit. Residual analysis. Testing on the parameters of a regression model.

## Textbook Information

Newbold, P., Carlson, W.L. and Thorne, B. (2013), Statistics, Pearson-Prentice Hall.

Open in PDF format Versione in italiano