Model fit reports for possible FAI models 20170313 renew

Model fit reports for ten FAI models

Because the floor effect of our sample (n=420) was marked (23.1%, >20%), we used robust maximum likelihood to correct the estimation bias due to the nonnormal distribution of data.

Criteria for selecting items for each factor in the models that authors did not describe clearly: factor loadings > 0.40 would be included.

*Model 1 Some stroke studies, or most frequently clinical use of FAI
IADL=the sum of item 1~15

Fit statistic	Model fit	Criteria
x2/df	6.58	<3
CFI TLI	0.74 0.70	at least 0.90 at least 0.90
RMSEA SRMR	0.12 0.09	<0.08 <0.08
Conclusion	poor fit

* Model 2 Holbrook & Skilbeck (1983)

Factor 1: Domestic chores: item 1-5

Factor 2: Leisure/work: item 7, 9, 10, 11, 13, 14, 15

Factor 3: Outdoors: item 6, 8, 10, 11, 12

Fit statistic	Model fit	Criteria
x2/df	2.71	<3
CFI TLI	0.93 0.91	at least 0.90 at least 0.90
RMSEA SRMR	0.06 0.05	<0.08 <0.08
Conclusion	acceptable fit

Model 3 Wade et al. (1985) (Delete: No specific naming for one or more factors) 

Factor 1: item 8, 10, 12, 13, 15
Factor 2: item 1-6 (questionable negative high [>0.5]  factor loadings)

Factor 3: item 7, 9, 11, 14 (questionable negative high  [>0.5] factor loadings)

Fit statistic	Model fit	Criteria
x2/df	4.11	<3
CFI TLI	0.86 0.83	at least 0.90 at least 0.90
RMSEA SRMR	0.09 0.07	<0.08 <0.08
Conclusion	poor fit

Model 4 Cockburn et al. (1990) (Delete: no specific naming for one or more factors)

Factor 1 (?): item 1-14

Factor 2 physically demanding activities: item 10, 12, 13

Factor 3 social awareness: item 7, 14 
item 15 (few responses) was not included

Fit statistic	Model fit	Criteria
x2/df	6.73	<3
CFI TLI	0.79 0.72	at least 0.90 at least 0.90
RMSEA SRMR	0.12 0.09	<0.08 <0.08
Conclusion	poor fit

Model 5 Bond et al. (1992)

Factor 1: Indoor domestic chores: item 1, 2, 3, 4, 5

Factor 2: Outdoor social activities: item 6, 7, 8, 11

Factor 3: Outdoor domestic chores: item 10, 12, 13
item 9, 14, 15 were not included due to low factor loadings (<0.4)

Fit statistic	Model fit	Criteria
x2/df	3.49	<3
CFI TLI	0.93 0.90	at least 0.90 at least 0.90
RMSEA SRMR	0.08 0.05	<0.08 <0.08
Conclusion	poor fit

* Model 6 Schuling et al. (1993)

Factor 1: Domestic chores: item 1-5

Factor 2: Outdoors activities: item 6-13

item 14, 15 were not included

Fit statistic	Model fit	Criteria
x2/df	3.64	<3
CFI TLI	0.91 0.89	at least 0.90 at least 0.90
RMSEA SRMR	0.08 0.06	<0.08 <0.08
Conclusion	poor fit

* Model 7 Sveen et al. (1999)

Factor 1: Domestic chore: item 1-5

Factor 2: Outdoor (work/leisure): item 6, 7, 8, 10, 11, 13

Factor 3: Hobby: item 9, 14
item 12, 15 were not included

Fit statistic	Model fit	Criteria
x2/df	3.19	<3
CFI TLI	0.92 0.91	at least 0.90 at least 0.90
RMSEA SRMR	0.07 0.06	<0.08 <0.08
Conclusion	poor fit

* Model 8 Han et al. (2006) ; Lin (2012)

Factor 1: Domestic chores: item 1-6

Factor 2: Work/leisure: item 7-15

Fit statistic	Model fit	Criteria
x2/df	4.13	<3
CFI TLI	0.86 0.83	at least 0.90 at least 0.90
RMSEA SRMR	0.09 0.08	<0.08 <0.08
Conclusion	poor fit

Model 9 Hsieh et al. (2007)
IADL=item 1+item 2+item 3+item 4+item 5+item 6+item7+item 9+item 10+item 11+item 12+item 13+item 15
Item 8, 14 were not included due to misfit to the Rasch model

Fit statistic	Model fit	Criteria
x2/df	7.34	<3
CFI TLI	0.76 0.71	at least 0.90 at least 0.90
RMSEA SRMR	0.12 0.10	<0.08 <0.08
Conclusion	poor fit

Model 10 Han et al. (2009)

Factor 1: Domestic chores: item 1, 2, 3, 4, 6

Factor 2: Outdoor work: item 11, 12, 13, 15

Factor 3: Leisure: item 5, 8, 10

Factor 4: Hobby: item 7, 9, 14

Fit statistic	Model fit	Criteria
x2/df	5.10	<3
CFI TLI	0.82 0.78	at least 0.90 at least 0.90
RMSEA SRMR	0.10 0.08	<0.08 <0.08
Conclusion	poor fit

* Model used in patients with stroke

Conclusion: 
Model 2 had acceptable fit.