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Table 2 Model fit statistics for the different factor analysis models of the need-supportive and -thwarting parenting

From: Interpersonal Behaviors Questionnaire (IBQ) applied to parenting of emerging adults: dimensional structure and criterion validity

Model no

Factors

Model type

χ2

df

CFI

RMSEA [95% CI]

Compared with

ΔCFI

ΔRMSEA

M1

Nr

CFA

1818.428***

252

.723

.103 [.098 .107]

M6

 − .241

.065

M2

S, T

CFA

859.531***

251

.893

.064 [.059 .069]

M6

 − .071

.026

M3

S, T

ESEM

725.039***

229

.912

.061 [.056 .066]

M7

 − .073

.029

M4

A, C, R

CFA

1666.373***

249

.750

.098 [.094 .103]

M6

 − .214

.060

M5

A, C, R

ESEM

376.764***

207

.970

.037 [.031 .043]

M7

 − .015

.005

M6

As, At, Cs, Ct, Rs, Rt

CFA

441.029***

237

.964

.038 [.033 .044]

Reference model

  

M7

As, At, Cs, Ct, Rs, Rt

ESEM

233.422***

147

.985

.032 [.024 .039]

M6

.021

 − .006

M8

Specific: S, F; General: Nr

B-CFA

557.796***

228

.942

.050 [.044 .055]

M2

.049

 − .014

M9

Specific: S, F; General: Nr

B-ESEM

376.764***

207

.970

.037 [.031 .043]

M3

.058

 − .024

M10

Specific: A, C, R; General: Nr

B-CFA

908.047***

228

.880

.071 [.066 .076]

M4

.130

 − .027

M11

Specific: A, C, R; General: Nr

B-ESEM

320.065***

186

.976

.035 [.028 .041]

M5

.006

 − .002

M12

Specific: A, C, R; General: S, T

B-CFA

428.975***

227

.964

.039 [.033 .044]

M4

.214

 − .059

M13

Specific: A, C, R; General: S, T

B-ESEM

324.684***

182

.975

.036 [.030 .043]

M5

.005

 − .001

M14

Specific: As, At, Cs, Ct, Rs, Rt; General: Nr

B-CFA

873.423***

228

.886

.069 [.064 .074]

M6

 − .078

.031

M14.2

Specific: As, At, Cs, Ct, Rs, Rt; General: Nr

H-CFA

902.993***

246

.884

.067 [.063 .072]

M6

 − .080

.029

M15

Specific: As, At, Cs, Ct, Rs, Rt; General: Nr

B-ESEM

Did not converge

      

M15.2

Specific: As, At, Cs, Ct, Rs, Rt; General: Nr

H-ESEM

247.541***

156

.984

.032 [.024 .039]

M7

 − .001

.000

M16

Specific: As, At, Cs, Ct, Rs, Rt; General: S, T

B-CFA

499.444***

227

.941

.045 [.040 .051]

M6

 − .023

.007

M16.2re

Specific: As, At, Cs, Ct, Rs, Rt; General: S, T

H-CFA

550.293***

245

.946

.046 [.041 .051]

M6

 − .018

.008

M17re

Specific: As, At, Cs, Ct, Rs, Rt; General: S, T

B-ESEM

151.833*

122

.995

.020 [.006 .030]

M7

.010

 − .012

M17.2

Specific: As, At, Cs, Ct, Rs, Rt; General: S, T

H-ESEM

223.854***

155

.988

.027 [.019 .035]

M7

.003

 − .005

  1. Nr, need-nurturing parenting; S, need-supportive parenting style; T, need-thwarting parenting style; A, autonomy; C, competence; R, relatedness; As, autonomy-supportive parenting; Af, autonomy-thwarting parenting; Cs, competence-supportive parenting; Cf, competence-thwarting parenting; Rs, relatedness-supportive parenting; Rf, relatedness-thwarting parenting. ΔCFI and ΔRMSEA represent the change of fit indices from the previous model. re, restricted maximum likelihood estimation
  2. ***p < .001, *p < .05