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Obtaining Fixed Effects for Between-Within Designs in Explanatory Longitudinal Item Response Models Using Mplus.

Sun-Joo Cho¹, Youngsuk Suh²

¹Vanderbilt University, Nashville, TN, USA.

Applied Psychological Measurement

|June 9, 2018

Summary

This study presents a method for analyzing longitudinal data in educational and psychological research using explanatory item response models. It details how to detect fixed effects in Mplus for complex between-within designs.

Keywords:

between-within design longitudinal item response model

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Area of Science:

Educational Psychology
Psychometrics
Statistical Modeling

Background:

Between-within designs are frequently used in educational and psychological research.
These designs incorporate both between-subjects factors and within-subjects repeated measures.
Analyzing longitudinal, item-level data in these designs presents unique statistical challenges.

Purpose of the Study:

To describe the specification of explanatory item response models for analyzing longitudinal data.
To demonstrate how to detect fixed effects in Mplus for between-within designs.
To provide a detailed illustration of a necessary parameter transformation for obtaining fixed effects.

Main Methods:

Utilizing explanatory item response models.
Applying these models to longitudinal, item-level data.
Specifying models in Mplus software for between-within designs.
Implementing a specific parameter transformation for fixed effects estimation.

Main Results:

The study successfully illustrates the specification of explanatory item response models for between-within designs.
A detailed method for parameter transformation is provided to obtain fixed effects.
The described approach enables the analysis of longitudinal binary response data.

Conclusions:

Explanatory item response models offer a viable approach for analyzing complex between-within designs with longitudinal data.
The described parameter transformation in Mplus facilitates the accurate detection of fixed effects.
This method enhances the analytical capabilities for researchers in education and psychology.