SubjectsSubjects(version: 920)
Course, academic year 2022/2023
   Login via CAS
Statistical methods in psychometrics - NMST570
Title: Statistické metody v psychometrii
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:1/1, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Additional information:
Guarantor: RNDr. Patrícia Martinková, Ph.D.
Class: Pravděp. a statistika, ekonometrie a fin. mat.
M Mgr. PMSE > Volitelné
Classification: Mathematics > Probability and Statistics
Comes under: PVP Pedagogika - PedF
Annotation -
Last update: RNDr. Jitka Zichová, Dr. (09.05.2018)
Psychometrics uses statistical models for analysis of educational and psychological tests. This course covers main topics in psychometrics, such as traditional item analysis, reliability and validity of measurement, use of logistic and nonlinear regression models, item response theory models, differential item functioning, computerized adaptive testing, etc. Methods are demonstrated using data from Czech matura examination, admission tests and other assessments. Exercises are prepared in freely available statistical software R, other psychometric software is also introduced.
Aim of the course -
Last update: RNDr. Patrícia Martinková, Ph.D. (07.05.2018)

Goal of the course is to present main topics of psychometrics and selected methods for analysis of educational end psychological tests.

Course completion requirements -
Last update: RNDr. Patrícia Martinková, Ph.D. (05.11.2019)

Active presence, satisfactory solutions to homeworks, final project.

Literature - Czech
Last update: RNDr. Patrícia Martinková, Ph.D. (07.05.2018)

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.

Teaching methods -
Last update: RNDr. Jitka Zichová, Dr. (09.05.2018)

Lecture + exercises.

Requirements to the exam -
Last update: RNDr. Patrícia Martinková, Ph.D. (05.11.2019)

Final project (50%) and homework assigned during the course (50%).

Syllabus -
Last update: RNDr. Patrícia Martinková, Ph.D. (07.05.2018)
  • Traditional item analysis
  • Reliability and validity
  • Regression models for item description
  • Item response theory (IRT) models
  • Differential item functioning (DIF)
  • Computerized adaptive testing (CAT)

Entry requirements -
Last update: RNDr. Jitka Zichová, Dr. (30.05.2019)

Basic knowledge of statistical methods.

Charles University | Information system of Charles University |