. 2010 Sep 3;8:94. doi: 10.1186/1477-7525-8-94

Table 3.

Rasch-based fit statistics, ordering of the response scale thresholds, and reliability (n = 243)

Items	δ	SE	z	Chi²	df	p	PCA eigen-value	t-test %	τ	r
*SWLS*
Overall				78.54	10	0.000^b	1.97^c	3.3	7-steps scale	0.88
Ideal life	0.35	0.05	-2.22	13.22	2	0.001^b			disord
Life conditions	0.15	0.05	-1.70	15.10	2	0.001^b			ord
Life satisfaction	-0.15	0.05	-1.13	7.21	2	0.027			ord
Got things I want	-0.25	0.06	0.37	3.10	2	0.212			disord
Change nothing in life	-0.11	0.05	6.41^a	39.90	2	0.000^b			disord

*LISAT-9*
Overall				50.60	18	0.000^b	2.06^c	7.4^d	6-step scale	0.86
Life as a whole	-0.13	0.07	-2.04	19.15	2	0.000^b			ord
Self care	0.08	0.05	0.60	1.16	2	0.561			ord
Vocational situation	0.26	0.06	-0.63	2.65	2	0.266			disord
Financial situation	0.19	0.06	1.43	0.22	2	0.897			ord
Leisure situation	0.34	0.06	-0.78	5.45	2	0.066			ord
Sexual life	0.97	0.06	-0.18	1.42	2	0.491			disord
Partner relations	-0.30	0.07	2.70^a	11.20	2	0.004^b			disord
Family life	-0.58	0.06	2.59^a	8.23	2	0.016			disord
Contact with friends	-0.82	0.07	0.11	1.13	2	0.569			disord

*PWI*
Overall				15.62	16	0.480	1.96^c	8.7^d	11-steps scale	0.92
Whole life	0.13	0.04	-1.25	5.12	2	0.077			ord
Living standard	0.02	0.04	1.07	1.56	2	0.457			ord
Health	0.20	0.04	3.14^a	2.35	2	0.309			ord
Life achievement	0.05	0.04	1.04	0.62	2	0.735			ord
Relationships	-0.35	0.04	1.63	1.39	2	0.499			ord
Feeling safe	-0.11	0.04	-1.44	1.84	2	0.399			ord
Feel part of community	-0.09	0.04	-0.04	0.39	2	0.824			disord
Future security	0.14	0.04	-1.11	2.35	2	0.309			ord

*WHOQoL-5*
Overall				16.43	10	0.088	1.81	3.3	5-steps scale	0.78
Health	0.30	0.09	0.32	1.49	2	0.475			ord
Activities of daily living	0.68	0.08	-0.29	0.94	2	0.627			ord
Relationships	-0.37	0.09	1.67	2.04	2	0.361			ord
Living place	-0.26	0.08	2.05	1.57	2	0.456			ord
Quality of life	-0.36	0.09	-1.83	10.40	2	0.005^b			ord

Index:

a: Exceeds the critical value of z > +/-2.5

b: Below the Bonferroni corrected probability level of p < 0.05/number of items (SWLS and PWI: p < 0.01; LISAT and PWI: p < 0.006)

c: Exceeds the decision level for chance distribution of residuals with eigenvalue > 1.9

d: Exceeds the 5% boundary for the number of significant independent t-tests based on the PCA results

Abbreviations:

SWLS: Satisfaction with life scale; LISAT: Life satisfaction questionnaire; PWI: Personal well-being index; WHOQoL: World Health Organization quality of life assessment; δ: Item location in logits (delta); SE: Standard error of item location; z: Standard normal distributed test value z; df: Degrees of freedom; p: Probability; PCA: Principal components analysis; t-test %: Percentage of significant independent t-tests; τ: Ordering of the response scale thresholds (tau); r: Person reliability index.