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. 2022 Apr 9;47(5):510–522. doi: 10.1093/jpepsy/jsac025

Table II.

IRT-Based Reliability Function Across the Measurement Continuum

# of items Cronbach's alpha IRT-based reliability
Overall T = 20 T = 30 T = 40 T = 45 T = 50 T = 55 T = 60 T = 70 T = 80
Higher scores, better well-being 
 Global Health 8 0.91 0.88 0.93 0.93 0.92 0.92 0.90 0.80 0.51 0.00 0.00
 Relationship 31 0.95 0.96 0.97 0.97 0.97 0.97 0.97 0.95 0.91 0.63 0.00
 Physical Activity 5 0.82 0.74 0.89 0.89 0.87 0.88 0.83 0.64 0.00 0.00 0.00
 Curiosity 6 0.90 0.89 0.91 0.91 0.90 0.90 0.91 0.88 0.78 0.00 0.00
 Persistence 6 0.90 0.86 0.87 0.87 0.85 0.86 0.86 0.85 0.85 0.70 0.00
 Positive Affect 13 0.95 0.94 0.97 0.96 0.94 0.94 0.97 0.95 0.86 0.00 0.00
 Flexibility 5 0.91 0.87 0.87 0.89 0.84 0.86 0.89 0.85 0.87 0.79 0.00
 Frustration Tolerance 6 0.90 0.87 0.82 0.89 0.86 0.84 0.85 0.89 0.86 0.88 0.45
Higher score, worse symptom
 Sleep Problems 16 0.95 0.95 0.00 0.60 0.91 0.94 0.95 0.95 0.95 0.95 0.94
 Anger/Irritability 16 0.95 0.94 0.05 0.82 0.94 0.95 0.96 0.95 0.95 0.96 0.95
 Anxiety 14 0.96 0.93 0.00 0.00 0.56 0.85 0.94 0.96 0.96 0.96 0.96
 Depressive Symptoms 10 0.94 0.87 0.00 0.00 0.00 0.65 0.88 0.94 0.95 0.96 0.96

Note. Expected reliabilities which were estimated using simulation; T = 50 (SD = 10) is the average score for the general population.