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Table 2 Fit statistics for the Confirmatory Factor Analyses (CFA), Bi-factor Item Analyses (Bi-Factor), Item, and Response Modeling Analyses (IRM) for the three domains of food parenting practices

From: Calibration of the food parenting practice (FPP) item bank: tools for improving the measurement of food parenting practices of parents of 5–12-year-old children

AUTONOMY PROMOTION FOOD PARENTING DOMAIN
CFA / Bi-Factor χ2 RMSEA [90% CI] CFI WRMR  
CFA – Hypothesized 3-factor model x2(df = 206) = 2294, p < .05 .113 [.111–.117] .88 2.59 Poor fit
CFA – Revised 3-factor model x2(df = 132) = 782, p < .05 .079 [.073–.084] .95 1.68 Adequate fit
Bi-Factor: Autonomy support x2(df = 117) = 658 p < .05 .076[.071–.082] .96 1.32 Adequate fit
IRM M2 RMSEA [90% CI] CFI SRMR LD / DRF
IRM: Autonomy support M2(df = 35) = 118 p < .05 .063 [.051–.076] .92 .07 Borderline LD
No DRF
IRM: Child involvement Fit indices not computed when items are less than 10 No LD / No DRF
CONTROL FOOD PARENTING DOMAIN
CFA / Bi-Factor χ2 RMSEA [90% CI] CFI WRMR  
CFA – Hypothesized 5-Factor Model x2(df = 619) = 5893, p < .05 .103 [.101–.106] .89 2.88 Poor fit
CFA – Revised 5-Factor Model x2(df = 424) = 2082, p < .05 .070 [.067–.073] .96 1.70 Adequate fit
Bi-Factor: Coercive control x2(df = 403) = 2514, p < .05 .081 [.078–.084]; .95 1.89 Adequate fit
IRM M2 RMSEA [90% CI] CFI SRMR LD / DRF
IRM: Coercive control M2(df = 161) = 910, p < .05 .076 [.071–.081] .96 .05 No LD /No DRF
IRM: Restrict for weight Fit indices not computed when items are less than 10 1 LD / No DRF
STRUCTURE FOOD PARENTING DOMAIN
CFA / Bi-Factor χ2 RMSEA [90% CI] CFI WRMR  
CFA – Hypothesized 9-factor model x2(df = 2309) = 14,889, p < .05 .083 ([.081–.084] .61 3.30 Poor fit
CFA – Revised 9-factor model x2(df = 743) = 2428, p < .05 .053 [.051–.056] .91 1.67 Adequate fit
Bi-Factor: Nondirective support x2(df = 12) = 56, p < .05 .079 [.059–.100] .99 0.61 Adequate fit
Bi-Factor: Provide healthy eating opportunities x2(df = 18) = 47, p < .05 .045 [.030–.061] .99 0.56 Adequate fit
IRM M2 RMSEA [90% CI] CFI SRMR LD / DRF
IRM Nondirective support Fit indices not computed when items are less than 10 Borderline LD
No DRF
IRM Provide healthy eating opportunities Fit indices not computed when items are less than 10 No LD
1 DRF by ethnicity
IRM Rules and limits Fit indices not computed when items are less than 10 No LD / No DRF
IRM Redirection Too few items for IRM and DRF analyses
IRM Meal routines Fit indices not computed when items are less than 10 No LD / No DRF
IRM Covert control Fit indices not computed when items are less than 10 1 LD / No DRF
IRM Accommodating the child Fit indices not computed when items are less than 10 No LD / No DRF
  1. χ2 / M2 = Chi-square; RMSEA = Root Mean Square Error of Approximation; 90% CI: 90% Confidence Interval, where upper 90%CI less than .10 is indicative of a good fit; CFI = Comparative Fit Index, where values between .90 to 95 are indicated of a good fit; WRMR = Weighted Room Mean Residual, where values less than 2.0 are indicate of a good fit. SRMR = Standardized Root Mean Residual, where values less than .08 are indicative of a good fit; LD = Local Dependence; DRF: Differential Response Functioning