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Measurement Model Misspecification in Dynamic Structural Equation Models: Power, Reliability, and Other

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Measurement error in Dynamic Structural Equation Models (DSEMs) causes significant parameter bias, even with high reliability. Careful model specification is crucial for accurate analysis of intensive longitudinal data (ILD).

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Area of Science:

  • Psychometrics
  • Quantitative Psychology
  • Statistical Modeling

Background:

  • Dynamic Structural Equation Models (DSEMs) are powerful for intensive longitudinal data (ILD).
  • The impact of measurement structure misspecification in DSEMs is not well understood.
  • Reliability and model complexity can influence DSEM results.

Purpose of the Study:

  • To investigate the effects of measurement error and misspecification in DSEMs.
  • To evaluate how reliability conditions and model complexity impact parameter estimation.
  • To provide practical recommendations for DSEM design and analysis.

Main Methods:

  • Conducted Monte Carlo simulations to assess DSEM performance under misspecification.
  • Varied reliability conditions, number of participants, and time points.
  • Compared single-indicator and multiple-indicator DSEM measurement structures.

Main Results:

  • Omitting measurement errors caused severe dynamic parameter bias, irrespective of reliability.
  • Increased sample size and time points reduced but did not eliminate bias.
  • Single-indicator DSEMs with composite scores performed similarly to multiple-indicator DSEMs.

Conclusions:

  • Measurement misspecification is a critical issue in DSEMs, leading to biased dynamic parameters.
  • Design choices, including the number of indicators, significantly affect DSEM results.
  • Recommendations and tools are provided for improving DSEM reliability and power analysis.