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Table 2 Overview of the Confirmatory Factor Analyses (CFA), Bi-Factor item analyses (bi-factor), and Item Response Modeling analyses (IRM) for the Physical Activity (PA) parenting practices item bank

From: The physical activity parenting practices (PAPP) item Bank: a psychometrically validated tool for improving the measurement of physical activity parenting practices of parents of 5–12-year-old children

Neglect/control PA parenting practices

CFA & Bi-Factor N-618

χ2

RMSEA [90% CI]

CFI

WRMR

 

 CFA: Hypothesized 2-factor model

χ2(df = 188) = 990, p < .05

.083 [.078–.088]

.97

1.34

Adequate fit

 Bi-Factor item analysis

χ2(df = 168) = 615, p < .05

.066 [.060–.071]

.98

0.95

Adequate fit

IRM N = 618

M2

RMSEA [90% CI]

CFI

SRMR

LD / DRF

 IRM: Coercive control

M2(df = 111) = 396, p < .05

.065 [.058–.071]

.97

0.42

No LD / No DRF

Structure PA parenting practices

CFA & Bi-Factor N = 626

χ2

RMSEA [90% CI]

CFI

WRMR

 

 CFA: Hypothesized 6-factor model

χ2(df = 545) = 4010, p < .05

.101 [.098–.104]

.79

2.87

Poor fit

 CFA: Modified 5-factor structure (solution below)

χ2(df = 393) = 1458, p < .05

.066 [.062–.069]

.93

1.69

Adequate fit

Bi-Factor item analysis

Not applicable since the correlations among constructs are too low

IRM N = 626

M2

RMSEA [90% CI]

CFI

SRMR

LD / DRF

 IRM: Nondirective support

M2(df = 5) = 28, p < .05

.087 [.058–.119]

.93

0.12

No LD / No DRF

 IRM: Supportive expectations

Fit indices not computed when items are less than 10

No LD / No DRF

 IRM: Facilitation

Fit indices not computed when items are less than 10

1 LD / No DRF

 IRM: Restrict inside PA

Fit indices not computed when items are less than 10

1 LD / No DRF

 IRM: Allow unsupervised PA outside

Fit indices not computed when items are less than 10

1 LD / No DRF

Autonomy promotion PA parenting practices

Model fit

CFA & Bi-Factor N = 626

χ2

RMSEA [90% CI]

CFI

WRMR

 

 CFA: Hypothesized 4-factor model

χ2(df = 696) = 6269, p < .05

.113 [.111–.116]

.79

3.26

Poor fit

 CFA: Modified 4-factor structure

χ2(df = 316) = 1590, p < .05

.080 [.076–.084]

.94

1.89

Adequate fit

 Bi-Factor autonomy support

χ2(df = 75) = 607, p < .05

.106 [.099–.114]

.96

1.33

Adequate fit

IRM N = 626

M2

RMSEA [90% CI]

CFI

SRMR

LD / DRF

 IRM Autonomy support

Fit indices not computed when items are less than 10

2 LD / No DRF

 IRM Guided choice

Fit indices not computed when items are less than 10

2 LD / No DRF

 IRM Reward

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>.90 to 95 indicative of a good fit; WRMR Weighted Room Mean Residual, where values less than 2.0 indicative of a good fit. SRMR Standardized Root Mean Residual, where values less than .08 indicative of a good fit, LD Local Dependence, DRF Differential Response Functioning