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. 2017 Jun 21;26(11):2949–2959. doi: 10.1007/s11136-017-1627-0

Table 3.

Empirical CAT simulation

T-score, mean (SD) SEM, mean (SD) Correlation with full item bank Floor (%) Ceiling (%)
Random-10 items 51.89 (14.90) 5.50 (1.80) 0.92 0.4 18.7
CAT-5 items 52.10 (14.92) 5.50 (1.80) 0.92 0.7 15.6
CAT-10 items 54.27 (17.14) 4.00 (1.20) 0.96 0.3 13.1
CAT-15 items 54.43 (17.77 3.60 (130) 0.94 0.1 12.8
PF-10 2.3 38.1

Random-10 administration of 10 random item bank items; CAT computerized adaptive test; PF-10 36-Item Short-form Health Survey, physical functioning scale; SEM standard error of measurement