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Scaling problems in Raven’s Progressive Matrices after Rasch Analysis: A Simulation Study and Multilevel Meta-Analysis

IDA alumna Iris Willigers presented her Master thesis at the graduation ceremony of the IDA cohort 2022-2024.


The  Raven’s  Standard  Progressive  Matrices  exhibits  Flynn  Effects  over  time,  potentially leading to ceiling effects and unreliable test outcomes. Our simulation studies explored how increasing mean levels of true (fluid) intelligence affect various outcomes, including mean sum scores, (corrected) standard deviations, true reliability, KR-20, KR-21 and (corrected) observed Cohen’s ds. We assessed the effect of different conditions of latent mean (differences) to assess item difficulties under the Rasch model with input of item responses of an existing dataset. Rasch Analysis revealed no major issues in measuring (fluid) intelligence. However, the sum score  distributions  did  suffer  from  floor  and  ceiling  effects. True  reliability  and  reliability estimates were low for low and high latent means. In addition, observed Cohen’s d was biased compared to latent Cohen’s d, and corrections with the KR-20 or KR-21 did not decrease bias for all conditions. In addition, shorter test versions of the test yielded even lower reliability estimates. We  also  examined  meta-analytical  implications  for  intelligence  interventions on between-groups Cohen’s d measured by the Raven’s Standard Progressive Matrices. There was no significant mean meta-analytic effect found, with also no moderating effects of KR-21 and number of items. There was a positive relationship between the number of items and KR-21 for these studies. In conclusion, our study shows that the measurement precision of the Raven’s Standard  Progressive  Matrices  is  inadequate  for  making  inferences  on  the  sum  score distribution and Cohen’s d of samples in the lower or higher latent means.  

  Keywords:  Raven’s  Standard  Progressive  Matrices,  SPM,  simulation  study,  meta-analysis, reliability, measurement precision, ceiling effects

Iris is now continuing her career in academia as a PhD candidate at Tilburg University. Congratulations Iris and best of luck with your new position!

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