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Table 1 Model fit statistics for unidimensional and two-dimensional models

From: Assessing social competence and antisocial behaviors in children: item response theory analysis of the home and community social behavior scales

Scale/models

BIC

M2 (df)

p

RMSEA

(95% CI)

SRMSR

Peer relations (Scale A1, 1D)

24,186.692

304.54 (68)

 < 0.001

0.080

(0.069; 0.090)

0.069

Self-manag/compliance (Scale A2, 1D)

21,447.134

337.62 (45)

 < 0.001

0.109

(0.096; 0.122)

0.071

Antisocial/aggressive (Scale B1, 1D)

23,069.409

502.651 (68)

 < 0.001

0.108

(0.097; 0.118)

0.074

Defiant/disruptive (B2, 1D)

21,345.987

171.017 (45)

 < 0.001

0.071

(0.058; 0.085)

0.082

Social competence (1D)

45,941.976

1624.549 (368)

 < 0.001

0.079

(0.075; 0.083)

0.085

Antisocial behavior (1D)

43,640.189

1944.889 (368)

 < 0.001

0.088

(0.084; 0.092)

0.079

Social competence (2D)

45,339.114

1453.484 (367)

 < 0.001

0.073

(0.069; 0.078)

0.077

Antisocial behavior (2D)

43,639.63

1932.957 (367)

 < 0.001

0.088

(0.083; 0.093)

0.079

  1. Scale A assesses social competence (A1: peer relations, A2: self-management/compliance), scale B assesses antisocial behavior (B1: antisocial/aggressive, B2: defiant/disruptive). In IRT, M2 (Maydeu-Olivares and Joe 2005) estimates global model-data fit
  2. 1D, one-dimensional; 2D, two-dimensional; BIC, Bayesian Information Criterion; df, degrees of freedom; RMSEA, root mean square error of approximation; SRMSR, standardized root mean square residual