Psychometrics

Course objectives

GENERAL AIM The general aim of the course is the acquisition of basic elements of psychometrics. The course includes three main topics, closely related to each other, which refer respectively to descriptive statistics, inferential statistics, and the study of the relationship between variables. The first part of the course will introduce the basic concepts of descriptive statistics (cases, variables, measurement levels), and the main techniques for the description and the graphical representation of the data (with particular reference to central tendency, dispersion, and form of the distribution). The second part of the course will deal with the foundations of inferential statistics (samples and populations, indicators and parameters, sample distributions), the properties of the central limit theorem, and the general principles underlying parameter estimates (point and interval estimation) and hypothesis testing (null and alternative hypotheses, the critical region, type I and II errors, statistical power). Several parametric and non-parametric statistical tests will be introduced (the one sample z-test, the one sample t-test, the two independent samples z-test, the two independent samples t-test, the analysis of the variance, the chi-square test). The third part of the course will focus on the statistical techniques aimed to investigate the relationship between variables (the correlation coefficient, bivariate regression). For each of these themes, students will first be introduced to theoretical and formal contents. Next, practical exercises will be proposed, in which students are required to analyze real data (both by hand and by using SPSS), and to interpret and discuss their application in the psychological field. SPECIFIC AIM Knowledge and understanding At the end of the course, the students are expected to get acquainted with basic notions of statistical methods for the analysis and description of data, the general principles underlying inferential statistics, the most important statistical tests in use for hypothesis testing, and main approaches for investigating associations between variables. Applying knowledge and understanding At the end of the course, the students are expected to be able to select and apply the most appropriate methods and statistical techniques to the analysis of real data; moreover, they are expected to be able to critically evaluate the applicability of such methods, according to the aim of the study, the measurement level of the variables, and the tenability of the assumptions on which they are based. Making judgements At the end of the course, the students are expected to have acquired the capability to evaluate and interpret results of studies and research in which the above statistical models are applied, and to critically evaluate their strengths and weakness. Several practical exercises will allow students to develop and refine these skills. The exercises will require students to read and interpret research reports and SPSS outputs. Communication skills At the end of the course, the students are expected to be able to communicate the results of studies and research in a clear and formally correct way. Such skills will be acquired providing examples of real data and reading materials (e.g., research reports, scientific articles). Learning skills At the end of the course, the students are expected to be able to continue independently in the application of the statistical techniques discussed during the course, and in deepening the study of theoretical and methodological aspects that are useful for conducting studies and research in the field of psychology.

Channel 1
MICHELE VECCHIONE Lecturers' profile

Program - Frequency - Exams

Course program
The course covers three main topics: 1) descriptive statistics; 2) inferential statistics and hypothesis testing; 3) the analysis of the relationship between variables. In the first part of the course (first three weeks: about 21 hours) the basic concepts of descriptive statistics (cases and variables, measurement scales) and the main techniques for the description and the graphical representation of the data will be introduced: frequency distributions, frequency tables, frequencies and cumulated frequencies, histograms, frequency polygons, bar graphs, measures of central tendency (mean, mode, median), measures of variability (range, interquartile range, standard deviation, variance), measures of position (deciles, quartiles, percentiles). The properties of normal distribution, the standard normal distribution tables, and the standardization (z scores, T scores, percentiles) will also be discussed. Chapters I and II of the book: “Statistica per la psicologia I. Fondamenti di psicometria e statistica descrittiva”. Chapter I (excluding sections 5, 7, 8, and 9) of the book: libro “Statistica per la psicologia II. Statistica inferenziale e analisi dei dati”. In the second part of the course (from the fourth to the eighth week: about 35 hours) the basic concepts of inferential statistics will be introduced (samples and populations and, indicators and parameters, sample distributions, parametric and non-parametric tests), as well as the properties of the central limit theorem, and the general principles for parameters estimates (point and interval estimates) and hypothesis testing (null and alternative hypotheses, the critical region, the type I and II errors, the statistical power). The main parametric tests will be presented (the one sample z-test, the one sample t-test, the two independent samples z-test, the two independent samples t-test, the one-way analysis of the variance, the factorial analysis of variance (main and interaction effects), along with some examples of non-parametric tests (e.g. the chi-square test). Chapter I (only sections 5, 7, 8, and 9), Chapter II, Chapter III (excluding section 4) and Chapter IV of the book: “Statistica per la psicologia II. Statistica inferenziale e analisi dei dati”. In the third part of the course (from the ninth to the twelfth week: about 28 hours) statistical techniques to examine the relationship between two variables will be discussed: the correlation, form, intensity and direction of the association (Pearson’s r correlation coefficient, Spearman’s rho, Kendall’s tau, r point-biserial, r phi); the bivariate regression (the coefficient of determination, least squares estimation, the parameters of the regression line, the scatterplot, the standard error of the estimate). Chapter III of the book: “Statistica per la psicologia I. Fondamenti di psicometria e statistica descrittiva”. Section 4 of Chapter III of the book: “Statistica per la psicologia II. Statistica inferenziale e analisi dei dati”.
Prerequisites
No special prerequisites are required other than a basic knowledge of mathematics acquired in secondary school education.
Books
Textbooks 1) Ercolani A.P., Areni A., Leone L., Statistica per la psicologia I. Fondamenti di psicometria e statistica descrittiva, Bologna, il Mulino, 2001. 2) Ercolani A.P., Areni A., Leone L., Statistica per la psicologia II. Statistica inferenziale e analisi dei dati, Bologna, il Mulino, 2002. Chapter 1 (excluding sections 2, 3 4 e 5); chapter 2 (excluding section 4); chapter 3; chapter 4 (excluding subsection 2.5, and section 3). Suggested readings: Barbaranelli, C., D'Olimpio, F. (2007). Analisi dei dati con SPSS. Vol. 1: Le analisi di base. Roma, LED Edizioni Universitarie. The contents of textbooks 1) and 2) will be divided during the course as follows: - First part of the course (first three weeks): Textbook 1): Chapters I and II. Textbook 2): Chapter I (excluding sections 5, 7, 8, and 9). - Second part of the course (from the fourth to the eighth week): Textbook 2): Chapter I (only sections 5, 7, 8, and 9), Chapter II, Chapter III (excluding section 4), Chapter IV. - Third part of the course (from the ninth to the twelfth week): Textbook 1): Chapter III. Textbook 2): Section 4 of Chapter III. The contents of textbook 3) are related to the practical activities (exercises and examples of application in the field of psychology, through the use of the SPSS software). These activities will be distributed throughout the course.
Teaching mode
For each topic, students will first be introduced to theoretical and formal contents (frontal lessons). Next, exercises and practical applications in the psychological field will be proposed, in which students are required to analyze real data, and to interpret and discuss the results (laboratory activities). The exercises will be carried out individually or in small groups, and discussed collectively in class. Some of the lab activities will require students to use a statistical package (SPSS) to implement the statistical techniques introduced in the frontal lessons, and to interpret the output of the software.
Frequency
Attendance is not mandatory.
Exam mode
A single test at the end of the course. It is a written test with multiple choices items, and open-ended questions (requiring students to read, interpret and critically evaluate research reports and SPSS outputs). The exam is aimed to evaluate the theoretical knowledge that the student has acquired about the statistical methods presented during the course, the ability to select the most appropriate methodology and statistical techniques for the analysis of real data, critically evaluating their applicability and possible strengths and weakness, and the ability to correctly interpret the results deriving from the application of these techniques. Results of the test are expressed with a grade out of thirty. Multiple choice questions are aimed to evaluate the theoretical knowledge and the understanding of statistical methods discussed in the frontal lectures, as well as the ability to select the appropriate methodology for the analysis of real data. The open-ended questions are aimed to evaluate the ability to interpret the results deriving from the application of these techniques (as illustrated during the lab activities).
Lesson mode
The course includes frontal lessons and laboratory activities that will consist of exercises to be carried out individually, followed by a collective discussion in the classroom.
  • Lesson code1036167
  • Academic year2024/2025
  • CoursePsychology and social processes
  • CurriculumSingle curriculum
  • Year2nd year
  • Semester1st semester
  • SSDM-PSI/03
  • CFU9
  • Subject areaFondamenti della psicologia