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Table 4 Selecting the final frailty model

From: Revisiting the hypothesis of syndromic frailty: a cross-sectional study of the structural validity of the frailty phenotype

   

# of

 

Differences

 

Bootstrap

Observed

 

# of Classes

Test

parameters

BIC

in BIC

LL

p = 0,05

−2*(LL [H1]-LL [H0])

A. Within LCA Models

1. H [a.1]:LCA-uv1

4 classes

H [a.1]|H [a.0]

42

65,264

115

−32,476,9

43,6

269,6*

2. H [a.0]:LCA-ev2

3 classes

 

21

65,379

 

−32,611,7

  

B. Within Strong Measurement Invariance (SMI) models

3. H [b.1]:SoMI-uv3

4 classes

H [b.1]|H [b.0]

36

65,232

120

−32,482,7

36,3

260,8*

4. H [b.0]:SiMI-ev4

2 classes

 

17

65,352

 

−32,613,1

  

C. Within Weak measurement invariance (WMI) models

5. H [c.1]:WMI-uv5

3 classes

H [c.1]|H [c.0]

38

65,189

61

−32,453,8

19,6

149,4*

6. H [b.0]:WMI-ev6

3 classes

 

26

65,250

 

−32,528,5

  

D. Within Null Measurement Invariance (NMI) models

7. H [d.1]:NMI-uv7

3 classes

H [d.1]|H [c.0]

45

65,211

82

−32,438,8

38,4

238,0*

8. H [d.0]:NMI-ev8

2 classes

 

25

65,293

 

−32,557,8

  

E. Testing the LPA-uv, WMI-uv and NMI-uv models against the null model (SMI-uv)

9. H [d.1]:NMI-uv7

3 classes

H [d.1]|H [b.1]

45

65,211

21

−32,438,8

282,3

87,8

10. H [c.1]:WMI-uv5

3 classes

H [c.1]|H [b.1]

38

65,189

43

−32,453,8

267,5

57,8

11. H [a.1]:LPA-uv1

4 classes

H [a.1]|H [b.1]

42

65,264

−32

−32,476,9

306,1

11,6

The null model:

12. H [b.1]:SMI-uv4

4 classes

 

36

65,232

N.A.**

−32,482,7

N.A.

N.A.

Notes:

        

* Null rejected

        

** N.A. Not Applicable

       

1. LPA-uv: LPA with unequal variances

      

2. LPA-ev: LPA with equal variances

      

3. SoMI-uv: FMM with Strong Measurement invariance - unequal variances

   

4. SiMI-ev: FMM with Strict Measurement invariance - equal variances

    

5. WMI-uv: FMM with Weak Measurement invariance - unequal variances

    

6. WMI-ev: FMM with Weak Measurement invariance - equal variances

    

7. NMI-uv: FMM with No Measurement invariance - unequal variances

    

8. NMI-ev: FMM with No Measurement invariance - equal variances