This work has shown that it was possible, starting fromordinal and binary
variables, to dene a onstrained model with two ontinuous indiators on
health status of the population and test it in a statistial point of view.
This newmodelshows that thereistwoindependenthealthindiatorsinthe
swiss population. One one takes into aount the health problems indued
naturally by aging, there is a seond independent indiatorthat an be use
to desribe the health status of the individuals. From here, one ould now
derive inequality indies or investigate more ompliated models, i.e.
stru-tural equationsmodelstolinkthe healthindiators topotentialexplanatory
variablessuh assoioeonomistatus.
Wesuppose the following model
The estimated parameters of the model (7.3) under the null hypothesis are
given in Table 7.3 and 7.4.
Variable
x (j) α (j) 0,1 α (j) 0,2 α (j) 0,3 α (j) 0,4
SAH -1.502 2.211 4.253 6.285
hroni illness 2.400
eyesight 3.391 4.869 5.942
hearing 3.515 5.195 6.713
abilityto walk 46.199 56.058 66.227
allergiold 1.723
psyhiatritreatment 3.594
bakahe 0.195 2.387
weakness feeling 0.105 3.201
stomahahe 1.679 3.650
diarrhoea 1.701 3.705
insomnia 0.531 2.672
headahe 0.430 2.584
ardiaproblems 2.646 4.790
hestahe 2.960 5.106
fever 2.874 4.623
joint problems 0.576 2.803
disability towork -3.955 -0.586
asthma -3.385
Table 7.3: Estimated thresholds for the two health indiators omputed on
the1997SwissHealthsurveydata. Boldvaluesareforsigniantparameters
at the 5% level,based ona z-type test.
Variable
x (j)
latentvariablez (1)
latentvariablez (2)
SAH
α (1) (2)
1.435hroniillness
α (2) (2)
1.293eyesight
α (3) (2)
1.004hearing
α (4) (2)
1.084ability towalk
α (5) (2)
13.538allergi old
α (6) (2)
0.250 -0.424psyhiatri treatment
α (7) (2)
1.201bakahe
α (8) (2)
0.829weakness feeling
α (9) (2)
1.378stomahahe
α (10) (2)
0.967diarrhoea
α (11) (2)
0.877insomnia
α (12) (2)
0.858headahe
α (13) (2)
0.710ardia problems
α (14) (2)
1.153hestahe
α (15) (2)
1.315fever
α (16) (2)
0.838jointproblems
α (17) (2)
1.112disability towork
α (18) (2)
-0.910asthma
α (19) (2)
-0.033Table 7.4: Estimated loadingsfor thetwohealthindiators (withoutthe age
variable) omputed on the 1997 Swiss Health survey data. Bold values are
for signiant parametersat the 5% level,based ona z-typetest.
as amanifest variable,under the null hypothesis are given in Table 7.5.
Variable
x (j)
latentvariablez (1)
latentvariablez (2)
age -18.46
SAH 1.306
hroni illness 1.246
eyesight 0.862
hearing 0.844
abilityto walk 0.815
allergiold 0.296 -0.308
psyhiatritreatment 1.296
bakahe 0.793
weakness feeling 1.158
stomahahe 0.960
diarrhoea 0.901
insomnia 0.799
headahe 0.742
ardiaproblems 1.088
hestahe 1.351
fever 0.972
joint problems 1.014
disability towork -0.751
asthma 0.088
Table 7.5: Estimated loadings for the two health indiators with the age
variableomputedonthe1997SwissHealth surveydata. Boldvaluesarefor
signiant parameters atthe 5% level,based on az-typetest.
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