NMST 570 Selected topics in psychometrics
(Vybraná témata z psychometrie)

Syllabus (last update: September 23, 2020)
Course description in English and in Czech.
Pages of a related course Seminar in Psychometrics.

Course schedule

Lecture: Tuesday, 3:40-4:30pm, K4, Sokolovská 83, Praha 2.
Lab session: Tuesday, 4:30-5:10pm, K4, Sokolovská 83, Praha 2. (webpage)
Online: Link for ZOOM sessions will be sent to registered students via e-mail.


(Aug 31, 2020) Course starts on October 6, 2020.
(Sep 23, 2020) Due to COVID-19 restrictions, class will take place remotely.
(Nov 24, 2020) There will be no Zoom meeting on Dec 22, 2020.

Course description

Psychometrics uses statistical models for analysis of educational, psychological, or patient-reported measurements. This course covers computational aspects of main topics in psychometrics including reliability and validity of measurement, traditional item analysis, use of regression models for item description, item response theory (IRT) models, differential item functioning (DIF), computerized adaptive testing (CAT), and an overview of further topics. Methods are demonstrated using data of behavioral measurements from different areas. Exercises are prepared in freely available statistical software R, other psychometric software is also introduced.

Tentative course plan

Welcome! (29.9.2020) Welcome message
R setupPerusallR code on GitHub
Lesson 1 (6.10.2020) Introduction, measurement data
SlidesVideoExercisesR code
Lesson 2 (13.10.2020) Reliability and measurement error
SlidesVideoExercisesR code
Lesson 3 (20.10.2020) Validity
Lesson 4 (27.10.2020) Traditional item analysis
Lesson 5 (3.11.2020) Regression models for item description I.
Lesson 6 (10.11.2020) Regression models for item description II.
Lesson 7 (24.11.2019) Item response theory models I.
SlidesVideoExercisesDataR code
Lesson 8 (1.12.2020) Item response theory models II. - Polytomous
SlidesVideoExercisesReadingR scriptData
Lesson 9 (8.12.2020) IRT models III. - Estimation
Lesson 10 (15.12.2020) Differential item functioning
Lesson 11 (22.12.2020) Final project assignment
Final project R codeSample data
Lesson 12 (5.1.2021) Computerized adaptive testing. Further topics in psychometrics.
SlidesVideoR code

Grading policy

Each week, students are expected to be actively present in lecture (45 minutes), and lab session (45 minutes). Lecture may take form of a Zoom meeting and/or video presentation and/or individual work on assignment. Lab session provides hints and solutions for homework assignments which will involve calculations, software implementation, and reading. Part of the assignments will ask students to annotate readings using perusall.com.

Course credit requirements

The credit for the exercise class will be awarded to the student who hands in satisfactory solutions to homework assignments (8 assignments in total, requiring 60% of total points) by the prescribed deadline. It is possible to skip up to 4 assignments and to provide satisfactory feedback (at least 10 relevant annotations) to readings instead. Homework will be assigned during lab sessions and will be due one week later.

Exam and grade

Final project will be assigned during the last lecture. Students are welcome and encouraged to use their data for the project in lieu of the project assigned to the class. In such a case, student is expected to prepare written project proposal and submit it to the lecturer at least one week before the last lecture. Final grade will be assigned during oral examination, which will consist of follow-up questions on final project (50%) and on homework (50%). Project report needs to be submitted to the lecturer at least 2 days before oral exam.

Course texts

Introduction to psychometric methods in education, psychology, and health: With examples in R. (Book in preparation)
Rao, C. R. & Sinharay S. (2006). Handbook of statistics. Volume 26: Psychometrics. Amsterdam, NL: Elsevier.
van der Linden, W. J. (2016). Handbook of item response theory: Models, statistical tools, and applications (Vols.1-3). Boca Raton, FL: Chapman & Hall/CRC.

© 2020 Patrícia Martinková / Template design adapted from Andreas Viklund