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Appendix C
Appendix C continues the section on the analytical methods
used in this study. More equations of calculation of these
standardized rates are shown in the following:
p-P =
α
-effect +
β
-effect +
γ
-effect
α
-effect=Q(hi) – Q(Hi)
β
-effect=Q(mi) – Q(Mi)
γ
-effect=Q(wi) – Q(Wi)
Q(Hi)=(
Σ
Hi x mi x wi +
Σ
Hi x Mi x Wi)/3 + (
Σ
Hi x mi x
Wi +
Σ
Hi x Mi x wi)/6
Q(Mi)=(
Σ
hi x Mi x wi +
Σ
Hi x Mi x Wi)/3 + (
Σ
hi x Mi x
Wi +
Σ
Hi x Mi x wi)/6
Q(Wi)=(
Σ
hi x mi x Wi +
Σ
Hi x Mi x Wi)/3 + (
Σ
hi x Mi x
Wi +
Σ
Hi x mi x Wi)/6
Q(hi)=(
Σ
hi x Mi x Wi +
Σ
hi x mi x wi)/3 + (
Σ
hi x Mi x wi
+
Σ
hi x mi x Wi)/6
Q(mi)=(
Σ
Hi x mi x Wi +
Σ
hi x mi x wi)/3 + (
Σ
Hi x mi x wi
+
Σ
hi x mi x Wi)/6
Q(wi)=(
Σ
Hi x Mi x wi +
Σ
hi x mi x wi)/3 + (
Σ
Hi x mi x wi
+
Σ
hi x Mi x wi)/6
where
p-P
is the difference in poverty rates between Taiwan and
any other country in this study;
α
-effect
is the contribution of the
difference in the living arrangements of young adults between
Taiwan and another country; similarly,
β
-effect
is the contribution
of the difference in the BTST income poverty rates of young adults
between Taiwan and another country; finally,
γ
-effect
is the
contribution of the difference in welfare effectiveness reducing the
BTST income poverty of young adults between Taiwan and
another country. Specifically,
Q(Hi)
is the
βγ
-standardized rates for
household composition in Taiwan for household type
i
and
Q(hi)
is
the
βγ
-standardized rate in any other country included in this study.
Likewise,
Q(Mi)
and
Q(mi)
are the
αγ
-standardized rates for BTST