. - Quantitative Methods PROFF. PAOLO SCKOKAI- CLAUDIA LANCIOTTI Applied Agricultural and Food Economics PROF.PAOLO SCKOKAI COURSE AIMS The course aims to introduce students to some basic econometric tools applied to food and agricultural data. Special attention will be given to those models that can be applied in a business environment. COURSE CONTENT The multiple regression model. Review of the multiple regression model. The use of dummy variables. F-tests on model specification. Heteroscedasticity and serial correlation. Definition, test and correction for heteroscedasticity. Definition, test and correction for serial correlation. Forecasting. Use of the regression model for forecasting. Forecast error, forecast error variance and confidence intervals. Forecasting with serially correlated errors. Models of qualitative choice. Definitions: binary and multiple choice models. Binary Linear Probability Model, Probit Model and Logit Model. Panel data models. OLS estimation on panel data. Fixed-effects models: definition and estimation problems. Instrumental Variable estimation. Correlation between explanatory variables and error term. IV estimation, endogeneity and 2SLS estimation. Estimation of systems of equations. Simultaneity, OLS estimation and the identification problem. Seemingly unrelated regressions (SUR) and Three-stage least squares (3SLS). Tutorial sessions READING LIST Selected readings from the following textbook ECTS 1.0 0.5 0.5 1.0 0.5 0.5 1.0 1.0 R.S PINDYCK-D.L. RUBINFELD, Econometric Models and Economic Forecasts, 4a ed., McGraw-Hill, 1998. Further readings on specific topics will be provided by the instructor. TEACHING METHOD The course consists of five credits of lectures and one credit of tutorial computer sessions. ASSESSMENT METHOD The exam is structured in two parts: one final written exam (75% of the final grade) and three homeworks carried out in small groups (25% of the final grade). The final written exam lasts 120 minutes and it is structured with open questions and exercises concerning applications of econometric models to agricultural and food economic data. The score attached to each question may change depending on the test. The assessment is intended to provide a sufficiently precise measure of the student’s learning and to offer to the instructor a grasp of the student’s reasoning skills and abilities to use econometric tools. The three homeworks will refer to the content of the tutorial computer sessions and will ask the students to carry out econometric analysis of agricultural and food economic data using a specific econometric software. NOTES Further information can be found on the instructor's webpage or on the Faculty notice board. Prof. Paolo Sckokai is available to meet with studentes after class in the SMEA offices. Applied Statistics for the Agri-Food System PROFESSOR CLAUDIA LANCIOTTI COURSE AIMS The course develops the student’s ability to use descriptive and inferential statistics in data analysis, elaboration of hypotheses and in reaching conclusions in the food sector applied research. COURSE CONTENT Descriptive statistics. Presentation and summary of univariate data, presentation and summary of bivariate data, graphical depiction. Measures of central tendency and measures of variability, covariance and correlation, concentration analysis. Index numbers. Probability and probability distribution. Theories of probability, theorems. Binominal distribution, uniform distribution, normal distribution and central limit theorem. Sampling and sampling distributions. Techniques, sample size, sampling and non-sampling errors. Random variables, estimators and their properties. STATISTICAL INFERENCE Point estimate and interval estimate of population parameters, t, 2 and F distributions. Hypothesis tests for single populations. Hypothesis tests about the comparison of two independent or related populations. Chi-squared goodness-of-fit test and chisquared test of independence. Analysis of variance. One-way ANOVA. Tukey’s and Tukey-Kramer’s multiple comparison tests. Two-way ANOVA. Simple linear regression analysis. Least squares estimates. Test of the assumptions and residual analysis. Hypothesis tests for the regression coefficient and testing the overall model. Confidence intervals for y|x and prediction intervals for y. Multiple linear regression analysis. Hypothesis tests for the regression coefficients and partial F test, adjusted R2, residual analysis. Non-linear regression models. Dummy variables. Multicollinearity and model-building procedures. Tutorials. CFU 0.5 0.5 0.5 1.5 0.5 1.0 0.5 1.0 READING LIST K. BLACK, Business Statistics for Contemporary Decision Making, 5e, John Wiley & Sons, USA, 2007. Slides and classnotes. TEACHING METHOD Lectures, for five credits, and tutorials, for one credits, will be held in the computer lab. ASSESSMENT METHOD The exam is written and oral. The written part consists of two midterm tests. The first midterm test, set up after the first two weeks of lectures, aims to assess the capacity of the student to summarize, present, understand relations in a data set using a spreadsheet. The test lasts 120 minutes and its evaluation accounts for 30% of the final grade. The second midterm test takes place after 80% of the course and its purpose is to assess learning of the use of probabilities and the major statistical tools (estimations and statistical tests) in problems with limited information. The test lasts 120 minutes and its evaluation accounts for 30% of the final grade. The oral part is the final one and concerns a discussion and presentation of an individual homework. Its purpose is to assess the mastering of tools related to a model building and the skills of the student in presenting and commenting a problem in the real life. The final part of the exam account for 40% of the final grade. NOTES Professor Claudia Lanciotti is availlable to meet with students by appointment.