Results

Exploratory Factor Analysis

Kaiser-Meyer-Olkin test
		MSA
Overall MSA		0.878
CAS1		0.895
CAS2		0.901
CAS3		0.833
CAS4		0.851
CAS5		0.890
CAS6		0.882
CAS7		0.920

Bartlett's test
Χ²		df		p
3753.987		21.000		< .001

Chi-squared Test
		Value		df		p
Model		32.964		8		< .001

Factor Loadings
		Factor 1		Factor 2		Uniqueness
CAS5		0.760				0.468
CAS1		0.756				0.468
CAS2		0.678				0.415
CAS7		0.587				0.589
CAS3				0.936		0.267
CAS4				0.794		0.288
CAS6				0.649		0.310

Note. Applied rotation method is promax.

Factor Loadings (Structure Matrix)
		Factor 1		Factor 2
CAS1		0.729
CAS2		0.760		0.594
CAS3		0.540		0.852
CAS4		0.627		0.842
CAS5		0.729
CAS6		0.691		0.814
CAS7		0.639

Note. Applied rotation method is promax.

Factor Characteristics
		SumSq. Loadings		Proportion var.		Cumulative
Factor 1		2.135		0.305		0.305
Factor 2		2.060		0.294		0.599

Factor Correlations
		Factor 1		Factor 2
Factor 1		1.000		0.795
Factor 2		0.795		1.000

Additional fit indices
RMSEA		RMSEA 90% confidence		TLI		BIC
0.053		0.035 - 0.072		0.982		-23.212

Path Diagram

Scree plot

Confirmatory Factor Analysis

Model fit

Chi-square test
Model		Χ²		df		p
Baseline model		3767.992		21
Factor model		104.768		13		< .001

Additional fit measures

Fit indices
Index		Value
Comparative Fit Index (CFI)		0.976
Tucker-Lewis Index (TLI)		0.960
Bentler-Bonett Non-normed Fit Index (NNFI)		0.960
Bentler-Bonett Normed Fit Index (NFI)		0.972
Parsimony Normed Fit Index (PNFI)		0.602
Bollen's Relative Fit Index (RFI)		0.955
Bollen's Incremental Fit Index (IFI)		0.976
Relative Noncentrality Index (RNI)		0.976

Information criteria
		Value
Log-likelihood		-7497.739
Number of free parameters		15.000
Akaike (AIC)		15025.478
Bayesian (BIC)		15100.807
Sample-size adjusted Bayesian (SSABIC)		15053.163

Other fit measures
Metric		Value
Root mean square error of approximation (RMSEA)		0.079
RMSEA 90% CI lower bound		0.066
RMSEA 90% CI upper bound		0.094
RMSEA p-value		2.855e -4
Standardized root mean square residual (SRMR)		0.031
Hoelter's critical N (α = .05)		240.269
Hoelter's critical N (α = .01)		297.259
Goodness of fit index (GFI)		0.975
McDonald fit index (MFI)		0.960
Expected cross validation index (ECVI)		0.120

R-Squared
		R²
CAS1		0.517
CAS2		0.602
CAS5		0.505
CAS7		0.418
CAS3		0.656
CAS4		0.718
CAS6		0.709

Parameter estimates

Factor loadings
														95% Confidence Interval
Factor		Indicator		Symbol		Estimate		Std. Error		z-value		p		Lower		Upper		Std. Est. (all)
Factor 1		CAS1		λ11		0.458		0.018		25.774		< .001		0.423		0.493		0.719
		CAS2		λ12		0.571		0.020		28.534		< .001		0.532		0.611		0.776
		CAS5		λ13		0.502		0.020		25.374		< .001		0.464		0.541		0.711
		CAS7		λ14		0.437		0.019		22.447		< .001		0.399		0.476		0.646
Factor 2		CAS3		λ21		0.817		0.026		31.397		< .001		0.766		0.868		0.810
		CAS4		λ22		0.841		0.025		33.522		< .001		0.792		0.890		0.847
		CAS6		λ23		0.749		0.023		33.222		< .001		0.704		0.793		0.842

Factor variances
										95% Confidence Interval
Factor		Estimate		Std. Error		z-value		p		Lower		Upper		Std. Est. (all)
Factor 1		1.000		0.000						1.000		1.000		1.000
Factor 2		1.000		0.000						1.000		1.000		1.000

Factor Covariances
														95% Confidence Interval
						Estimate		Std. Error		z-value		p		Lower		Upper		Std. Est. (all)
Factor 1		↔		Factor 2		0.770		0.019		41.581		< .001		0.734		0.806		0.770

Residual variances
										95% Confidence Interval
Indicator		Estimate		Std. Error		z-value		p		Lower		Upper		Std. Est. (all)
CAS1		0.196		0.010		18.831		< .001		0.176		0.216		0.483
CAS2		0.216		0.013		16.810		< .001		0.191		0.241		0.398
CAS5		0.247		0.013		19.066		< .001		0.222		0.273		0.495
CAS7		0.267		0.013		20.463		< .001		0.241		0.293		0.582
CAS3		0.350		0.020		17.555		< .001		0.311		0.389		0.344
CAS4		0.278		0.018		15.436		< .001		0.243		0.313		0.282
CAS6		0.230		0.015		15.774		< .001		0.201		0.258		0.291

Implied covariance matrix
CAS1		CAS2		CAS5		CAS7		CAS3		CAS4		CAS6
0.406
0.262		0.542
0.230		0.287		0.500
0.200		0.250		0.220		0.458
0.288		0.359		0.316		0.275		1.017
0.297		0.370		0.325		0.283		0.687		0.986
0.264		0.329		0.290		0.252		0.611		0.630		0.790

Residual covariance matrix
CAS1		CAS2		CAS5		CAS7		CAS3		CAS4		CAS6
< .001
0.002		< .001
0.010		< .001		< .001
< .001		< .001		0.010		< .001
< .001		< .001		< .001		< .001		< .001
< .001		0.011		< .001		< .001		0.030		< .001
0.001		0.055		0.012		0.037		< .001		< .001		< .001

Modification Indices

Cross-loadings
						Mod. Ind.		EPC
Factor 1		→		CAS6		49.151		0.295
Factor 1		→		CAS3		37.248		-0.288
Factor 2		→		CAS2		12.863		0.145
Factor 2		→		CAS1		8.753		-0.101

Residual covariances
						Mod. Ind.		EPC
CAS3		↔		CAS4		49.151		0.143
CAS4		↔		CAS6		37.248		-0.117
CAS2		↔		CAS6		22.049		0.044
CAS5		↔		CAS3		18.797		-0.048
CAS7		↔		CAS6		7.872		0.026
CAS2		↔		CAS7		7.376		-0.028
CAS7		↔		CAS4		7.275		-0.028
CAS1		↔		CAS5		4.797		0.020
CAS2		↔		CAS3		4.103		-0.022
CAS5		↔		CAS4		4.013		0.021

Plots

Model plot

# Factors

Factor1 =~ lambda_1_1*CAS1 + lambda_1_2*CAS2 + lambda_1_3*CAS5 + lambda_1_4*CAS7

Factor2 =~ lambda_2_1*CAS3 + lambda_2_2*CAS4 + lambda_2_3*CAS6