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Aim of this course is to present, both from a theoretical and an empirical point of view, the main methods of univariate and bivariate descriptive statistics for the analysis of qualitative and quantitative data in the context of viticulture and oenology. The educational objectives have been developed with reference to Dublin descriptors, they are consistent with those characterizing the 1st cycle degree program in which the course is inserted and have been defined in coordination with those of Mathematics module, with which it forms a unique course.
More specifically, students who successfully complete this course will be able to:
- collect, analyze and interpret statistical data, both qualitative and quantitative, and organize results in order to draw conclusions and decide in uncertain situations;
- communicate, to experts and non-experts, statistical information and evaluations, also with the help of graphical devices.
By means of a gradual learning process, linking the contents of this course with the educational objectives characterizing the 1st cycle degree programs in which the course is inserted, students will acquire the methodological
and applied knowledge about the basic concepts of descriptive statistics (statistical ratios, means, variability, inequality/concentration, association, correlation and regression) necessary for the professional training.
1) Introduction to statistical data analysis: approaches and main topics
2) Univariate descriptive statistics:
- Dynamic analysis by means of ratios
- Frequency distributions
- Location indices: Mode, median, percentiles, algebraic means
- Heterogeneity and variability and indices: Gini Index, Shannon entropy, range, absolute deviations, standard deviation, variance.
3) Bivariate descriptive statistics:
- Joint frequency distributions
- Analysis of association
- Analysis of mean dependence
- Analysis of linear correlation
- Simple linear regression
Each topic is discussed both from a theoretical and an empirical point of view, with special focus on case studies dealing with problems arising in the context of viticulture and oenology.
Students (regardless whether or not they attended lessons) are evaluated by means of a written comprehensive examination, composed of exercises and questions. A time of 2 hours is scheduled. The grades are on a scale of 30.
Rules for defining the final grade of the Mathematics and Statistics course, which summarizes the tests carried out in the two modules:
(1) A module is successfully completed if the student achieves a score of at least 15/30.
(2) The examination of Mathematics and Statistics shall be passed only if both modules are successfully completed, provided that the average of the two scores, calculated as shown in (3), is not less than 18/30.
(3) The final mark is calculated as the average of the scores obtained in the two modules weighted by the number of credits; in the computation of the average, at 30 cum laude obtained in a module is assigned a score of 31; in the case of a non-integer result, the mark is rounded upward; in the case of an average of at least 30, the final mark will be 30 cum laude.