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R-squared of a Latent Interaction in Structural Equation Model: A Tutorial of Using R

Author

Listed:
  • Lu Qin
  • Jihong Zhang
  • Xinya Liang
  • Qianqian Pan

Abstract

Mplus (Muthén & Muthén, 1998 - 2017) is one popular statistical software to estimate the latent interaction effects using the latent moderated structural equation approach (LMS). However, the variance explained by a latent interaction that supports the interpretation of estimation results is not currently available from the Mplus output. To relieve human computations and to facilitate interpretations of latent interaction effects in social science research, we developed two functions (LIR & LOIR) in the R package IRmplus to calculate the R-squared of a latent interaction above and beyond the first-order simple main effects in Structural Equation Modeling. This tutorial provides a step-by-step guide for applied researchers to estimating a latent interaction effect in Mplus, and to obtaining the R-squared of a latent interaction effect using the LIR & LOIR functions. Example data and syntax are available online.

Suggested Citation

  • Lu Qin & Jihong Zhang & Xinya Liang & Qianqian Pan, 2021. "R-squared of a Latent Interaction in Structural Equation Model: A Tutorial of Using R," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-69, June.
    • Handle: RePEc:ibn:ijspjl:v:10:y:2021:i:3:p:69
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    Cited by:

    1. Ismail Hussein Amzat & Hairuddin Mohd Ali & Mohd Burhan Ibrahim & Azam Othman & Mohamad Johdi Bin Salleh & Abdul Hakeem Alade Najimdeen, 2023. "Internationalization of Higher Education, University Quality Service, and International Students’ Loyalty in Malaysia," SAGE Open, , vol. 13(4), pages 21582440231, November.

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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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