Empirical category curves - frequency polygons

These are the empirical (data-describing) category curves (frequency polygons). They are obtained by clicking on "Empirical Cat. Curves" or from the Graphs menu. The width of each empirical interval can be adjusted by the "Empirical Interval" control. The smoothing of the empirical curves by discrete cubic splines is adjusted by the smoothing control.

Buttons are described in Graph window.

Charles S. Duris (1980). Fortran Routines for Discrete Cubic Spline Interpolation and Smoothing. ACM Algorithm 547.

Help for Winsteps Rasch Measurement and Rasch Analysis Software: www.winsteps.com. Author: John Michael Linacre

Rasch Books and Publications
Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, 2nd Edn, 2024 George Engelhard, Jr. & Jue Wang	Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene	Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver	Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone	Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale
Introduction to Many-Facet Rasch Measurement (Facets), Thomas Eckes	Statistical Analyses for Language Testers (Facets), Rita Green	Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments (Facets), George Engelhard, Jr. & Stefanie Wind	Aplicação do Modelo de Rasch (Português), de Bond, Trevor G., Fox, Christine M	Appliquer le modèle de Rasch: Défis et pistes de solution (Winsteps) E. Dionne, S. Béland
Exploring Rating Scale Functioning for Survey Research (R, Facets), Stefanie Wind	Rasch Measurement: Applications, Khine	Winsteps Tutorials - free Facets Tutorials - free	Many-Facet Rasch Measurement (Facets) - free, J.M. Linacre	Fairness, Justice and Language Assessment (Winsteps, Facets), McNamara, Knoch, Fan
Other Rasch-Related Resources: Rasch Measurement YouTube Channel
Rasch Measurement Transactions & Rasch Measurement research papers - free	An Introduction to the Rasch Model with Examples in R (eRm, etc.), Debelak, Strobl, Zeigenfuse	Rasch Measurement Theory Analysis in R, Wind, Hua	Applying the Rasch Model in Social Sciences Using R, Lamprianou	El modelo métrico de Rasch: Fundamentación, implementación e interpretación de la medida en ciencias sociales (Spanish Edition), Manuel González-Montesinos M.
Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar	Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch	Rasch Models for Measurement, David Andrich	Constructing Measures, Mark Wilson	Best Test Design - free, Wright & Stone Rating Scale Analysis - free, Wright & Masters
Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias	Diseño de Mejores Pruebas - free, Spanish Best Test Design	A Course in Rasch Measurement Theory, Andrich, Marais	Rasch Models in Health, Christensen, Kreiner, Mesba	Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen
As an Amazon Associate I earn from qualifying purchases. This does not change what you pay.

Rasch Books and Publications

Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, 2nd Edn, 2024 George Engelhard, Jr. & Jue Wang

Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene

Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver

Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone

Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale

Introduction to Many-Facet Rasch Measurement (Facets), Thomas Eckes

Statistical Analyses for Language Testers (Facets), Rita Green

Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments (Facets), George Engelhard, Jr. & Stefanie Wind

Aplicação do Modelo de Rasch (Português), de Bond, Trevor G., Fox, Christine M

Appliquer le modèle de Rasch: Défis et pistes de solution (Winsteps) E. Dionne, S. Béland

Exploring Rating Scale Functioning for Survey Research (R, Facets), Stefanie Wind

Rasch Measurement: Applications, Khine

Winsteps Tutorials - free
Facets Tutorials - free

Many-Facet Rasch Measurement (Facets) - free, J.M. Linacre

Fairness, Justice and Language Assessment (Winsteps, Facets), McNamara, Knoch, Fan

Other Rasch-Related Resources: Rasch Measurement YouTube Channel

Rasch Measurement Transactions & Rasch Measurement research papers - free

An Introduction to the Rasch Model with Examples in R (eRm, etc.), Debelak, Strobl, Zeigenfuse

Rasch Measurement Theory Analysis in R, Wind, Hua

Applying the Rasch Model in Social Sciences Using R, Lamprianou

El modelo métrico de Rasch: Fundamentación, implementación e interpretación de la medida en ciencias sociales (Spanish Edition), Manuel González-Montesinos M.

Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar

Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch

Rasch Models for Measurement, David Andrich

Constructing Measures, Mark Wilson

Best Test Design - free, Wright & Stone
Rating Scale Analysis - free, Wright & Masters

Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias

Diseño de Mejores Pruebas - free, Spanish Best Test Design

A Course in Rasch Measurement Theory, Andrich, Marais

Rasch Models in Health, Christensen, Kreiner, Mesba

Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen

As an Amazon Associate I earn from qualifying purchases. This does not change what you pay.

Empirical Category Curves - Frequency Polygons

Questions, Suggestions? Want to update Winsteps or Facets? Please email Mike Linacre, author of Winsteps mike@winsteps.com