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The Palestinian Economy. Theoretical and Practical Challenges

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Proceedings “<strong>The</strong> <strong>Palestinian</strong> <strong>Economy</strong>: <strong>The</strong>oretical <strong>and</strong> <strong>Practical</strong> <strong>Challenges</strong>” 367<br />

relative fractional rank (R i ) is thus computed as: C y = 2 / yi<br />

covw(<br />

yi<br />

,Ri<br />

)– where cov w<br />

represents the weighted covariance (Lerman <strong>and</strong> Yitzhaki 1989). In addition, we also<br />

separately investigate primary-level (outpatient-clinic) <strong>and</strong> secondary-level (hospitalinpatient<br />

admissions) by type of health care sectors\providers: Public, Private, <strong>and</strong> NGOs.<br />

This is done by deriving a probability-based outcome of any use during the reference<br />

period. Simple quintile distributions <strong>and</strong> CI’s based on the actual probability of use for<br />

each level of care <strong>and</strong> care providers are thus computed.<br />

Lastly, statistical significance of observed variation in the computed values of each<br />

of the above contribution terms of decomposition were tested using bootstrap (BTS)<br />

method (Efron <strong>and</strong> Tibshirani 1993). For the case of a complex multi-stage sampling<br />

design such as the one we deal with in this essay, the appropriate bootstrap procedure<br />

involves, first, r<strong>and</strong>omly drawing, with replacement, a large number (R) of r<strong>and</strong>om subsamples<br />

of size n – with n equal to the original sample size – out of the original dataset –<br />

the so-called BTS re-samples. For each BTS re-sample, the sampling weights are<br />

normalised to a mean of one, <strong>and</strong> then the entire (weighted) procedure are applied to<br />

obtain the factor contributions, including the regressions, fractional rank construction <strong>and</strong><br />

covariance computations. <strong>The</strong> procedure is replicated to the generated BTS re-samples,<br />

yielding for each of them the contributions estimates – BTS replications. Lastly, by using<br />

these datasets, an estimate of the st<strong>and</strong>ard error of each factor’s contribution <strong>and</strong> for the<br />

HI index can be computed (cf., e.g. Abu-Zaineh, Mataria et al. 2008).<br />

4. Results<br />

<strong>The</strong> results are presented in sub-Sections 4.1 <strong>and</strong> 4.2. <strong>The</strong> first presents simple<br />

(unst<strong>and</strong>ardised) quintile distributions <strong>and</strong> estimates of concentration indices (CI’s) for<br />

the (actual) probability of use for each level of care <strong>and</strong> care providers; <strong>and</strong> the second<br />

presents the decomposition results based on microsimulation method proposed above.<br />

4.1. Quintile Distribution of Health Care Utilisation <strong>and</strong> Income-Related<br />

Inequality Indices for the Probability of a Visit/Use<br />

<strong>The</strong> level of health care utilisation in both regions of the OPT, the WB <strong>and</strong> GS, are quite<br />

high: the proportions of individuals who have sought for a primary-level treatment

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