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Table 5 Correlations between Rasch student ability estimates for the CTSR items by tier and content

From: Is it harder to know or to reason? Analyzing two-tier science assessment items using the Rasch measurement model

Dimension   ( A ) ( B ) ( C ) ( D ) ( E ) ( F ) ( G )
Tier 1 * Control Of Variables ( A )        
Tier 1 * Combinatorial Reasoning ( B ) 0.82       
Tier 1 * Probabilistic Reasoning ( C ) 0.69 0.66      
Tier 1 * Proportional Reasoning ( D ) 0.57 0.60 0.57     
Tier 2 * Control Of Variables ( E ) 0.99 0.82 0.715 0.59    
Tier 2 * Combinatorial Reasoning ( F ) 0.81 0.94 0.77 0.61 0.82   
Tier 2 * Probabilistic Reasoning ( G ) 0.72 0.68 0.99 0.53 0.74 0.79  
Tier 2 * Proportional Reasoning ( H ) 0.66 0.67 0.65 0.99 0.67 0.68 0.62
  1. Note. The correlations shown are between the estimates of students’ ability for the respective combination of tier and content