An official website of the United States government
In a general form, all thirteen summary measures of health disparities in HD*Calc can be expressed as a function of health group means and population shares (μj and pj for j =1,...J), given by X = g (μj ,pj ; for j =1,...J), where g (.) is a specific differentiable function of μj and pj, corresponding to each of the eleven disparity measures. Therefore, X is estimated by substituting means and proportions \(({\mu}_{j},p_{j})\) with complex survey estimates \(({\widehat\mu}_{j},\widehat{p}_{j})\), given by
$$\widehat{X}=({\widehat\mu}_{j},\widehat{p}_{j}),$$
where
$$\widehat{\mu}_{j}=\frac{{\sum}_{h=1}^{H}{\sum}_{\alpha=1}^{t_{h}}{\sum}_{i=1}^{n_{h\alpha}}{\delta}_{h{\alpha}i}{w}_{h{\alpha}i}{y}_{h{\alpha}i}}{{\sum}_{h=1}^{H}{\sum}_{\alpha=1}^{t_{h}}{\sum}_{i=1}^{n_{h\alpha}}{\delta}_{h{\alpha}i}{w}_{h{\alpha}i}}$$
and
$$\widehat{p}_{j}=\frac{{\sum}_{h=1}^{H}{\sum}_{\alpha=1}^{t_{h}}{\sum}_{i=1}^{n_{h\alpha}}{\delta}_{h{\alpha}i}{w}_{h{\alpha}i}}{{\sum}_{h=1}^{H}{\sum}_{\alpha=1}^{t_{h}}{\sum}_{i=1}^{n_{h\alpha}}{w}_{h{\alpha}i}}.$$
