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Methods Applying AHRQ Quality Indicators to Healthcare ... - HCUP

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Calculation of Summary MeasuresEach summary measure was calculated as follows:Where a i corresponds <strong>to</strong> the weight <strong>to</strong> the i th QI and X i corresponds <strong>to</strong> the risk-adjusted rate forthe i th QI.The standard error (SE) of the summary measure is the square-root of the variance:Where a i corresponds <strong>to</strong> the weight <strong>to</strong> the i th QI and X i corresponds <strong>to</strong> the risk-adjusted rate forthe i th QI. The correlations actually had very little effect on the estimated SE for the summarymeasures. For example, in examining mortality for select conditions, the SE was 0.293 if weassume the correlations are zero (i.e., the individual measures are uncorrelated) and the SEwas 0.303 if we assume the correlations are those estimated by the covariance matrix of thestate-level rates, which were in the range of 70 <strong>to</strong> 85 percent. Therefore, the SEs werecalculated on the assumption that the individual measures were independent of one another,which eliminates the second term on the right-hand side of the formula above.<strong>Methods</strong> for <strong>HCUP</strong> Data in 2011 NHQR and NHDR D-3December 9, 2011

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