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. Author manuscript; available in PMC: 2013 Jan 24.
Published in final edited form as: Arch Phys Med Rehabil. 2011 Jun 25;92(8):1257–1263. doi: 10.1016/j.apmr.2011.03.013

Table 3.

Deviance and Weighted Fit Statistics by Model

Rating Scale Model Partial Credit Model
Deviance (df) = 15483.56 (20) Deviance (df) = 15205.42 (65)
Infit Statistics Infit Statistics
Item # Item Item by response option Item Item by response option
Mnsq (t) 0 Mnsq (t) 1 Mnsq (t) 2 Mnsq (t) 3 Mnsq (t) 4 Mnsq (t) Mnsq (t) 0 Mnsq (t) 1 Mnsq (t) 2 Mnsq (t) 3 Mnsq (t) 4 Mnsq (t)
1 0.82 (−2.4) 2.75 (14.3) 2.56 (13.7) 1.93 (10.2) 3.24 (20.9) 3.04 (18.3) 0.91 (−1.2) 1.04 (0.2) 0.97 (−0.1) 0.93 (−1.0) 0.95 (−1.4) 0.96 (−0.7)
2 0.99 (−0.2) 1.07 (0.9) 1.06 (0.5) 0.96 (−0.4) 0.96 (−0.6) 0.98 (−0.5) 1.11 (1.6)
3 0.92 (−1.1) 0.95 (−0.6) 0.90 (−0.6) 0.98 (−0.1) 1.00 (0.1) 0.92 (−1.9) 0.85 (−2.6)
4 1.25 (2.6) 1.32 (3.3) 1.09 (0.4) 1.15 (0.8) 0.98 (−0.1) 0.97 (−0.6) 0.93 (−1.2)
5 1.42 (5.3) 1.40 (5.0) 1.38 (4.8) 0.98 (−0.2) 1.03 (0.4) 1.06 (1.0) 0.91 (−1.0)
6 1.36 (4.4) 1.33 (4.0) 1.23 (3.2) 1.02 (0.2) 1.00 (0.1) 1.01 (0.1) 1.02 (0.2)
7 1.24 (3.1) 1.14 (1.8) 1.24 (2.4) 0.99 (−0.1) 0.98 (−0.2) 0.93 (−1.3) 0.80 (−3.3)
8 0.78 (−2.9) 0.78 (−3.0) 1.07 (0.4) 0.98 (−0.1) 0.86 (−1.8) 0.92 (−1.7) 0.85 (−2.8)
9 0.92 (−0.9) 0.99 (−0.1) 0.98 (0.0) 1.01 (0.1) 0.92 (−0.9) 0.96 (−0.9) 1.02 (0.3)
10 0.79 (−3.0) 0.75 (−3.6) 0.85 (−1.2) 0.98 (−0.1) 0.88 (−1.4) 0.91 (−2.1) 0.85 (−2.7)
11 0.97 (−0.5) 1.07 (1.0) 1.00 (0.0) 0.97 (−0.4) 0.99 (−0.1) 0.93 (−1.7) 0.99 (−0.1)
12 0.76 (−3.7) 0.77 (−3.5) 0.87 (−1.5) 0.93 (−0.9) 0.93 (−0.8) 0.89 (−2.6) 0.86 (−2.1)
13 0.61 (−6.5) 0.68 (−5.2) 0.92 (−1.0) 0.90 (−1.5) 0.91 (−1.2) 0.81 (−4.6) 0.85 (−1.9)
14 1.33 (4.4) 1.19 (2.4) 1.32 (3.6) 0.98 (−0.1) 1.01 (0.1) 0.97 (−0.5) 0.84 (−2.5)
15 1.31 (4.0) 1.28 (3.4) 1.16 (2.3) 1.00 (0.1) 1.02 (0.3) 0.97 (−0.4) 1.15 (1.5)
16 1.12 (1.5) 1.21 (2.8) 1.05 (0.8) 1.00 (0.0) 0.97 (−0.6) 1.08 (0.9) 1.27 (1.3)

Misfitting items bolded. Misfit = Mnsq <0.75 or >1.33 and t-statistic < −2 or >2.