Indicators of Inpatient Care in Colorado Hospitals, 2001

Interpreting tables used on this site.

  1. Risk Adjustment
  2. Differences Between Hospital Observed Rates and Risk-Adjusted Rates
  3. Expected Rates
  4. Evaluation of Performance - Statistical Significance Testing
  5. Symbols Used to Indicate Significant Differences in Reports

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Risk-Adjustment*

Differences Between Hospital Observed Rates and Risk-Adjusted Rates

Observed Rate > Risk-adjusted Rate

Observed Rate < Risk-adjusted Rate

Observed Rate = Risk-adjusted Rate

Expected Rates

Expected Rate represents a mathematical computation using the risk-adjusted rates. The formula used by AQHC is:
Hospital Expected Rate = (Hospital Observed Rate / Hospital Risk-Adjusted Rate) times the Comparative (State) Average Risk Adjusted Rate

The expected rate answers the question “What would the mortality rate be for this group of patients (the hospital’s patients) if the hospital had performed to the average standard of other hospitals in the state (expected rate) rather than how they actually performed (the hospital’s observed rate)?” It is the predicted outcome when applying the state average casemix to a specific hospital.

Observed rate < Expected Rate

Observed rate > Expected Rate

Observed rate = Expected Rate

Evaluation of Performance - Statistical Significance Testing
Statistical Significance of Hospital Risk-Adjusted Rate

The test is whether a specific hospital’s risk-adjusted rate is significantly higher or lower than the state average (or other comparative average) risk-adjusted rate with a 95% confidence interval.

The risk-adjusted rate represents the likely outcome if a group of average patients (national average case mix) were cared for by the hospital. Or in other words, if the hospital’s case mix was adjusted to that of the national average how the hospital would be expected to perform compared to peers (state or other comparative group). This can be used to compare performance across hospitals. The formula uses the AHRQ national mean square of error (these reference data values are provided in the AHRQ software). The formula is: Hospital Risk-Adjusted Rate +/- (1.96) times the (square root of mean square of error/square root of number of cases in hospital denominator population).

Comparative RA Rate > Hospital RA Rate, Upper Confidence Interval Value

Comparative RA Rate < Hospital RA Rate, Lower Confidence Interval Value

Comparative RA Rate = Hospital RA Rate, Within Values of Lower and Upper Confidence Intervals

Symbols Used to Indicate Significant Differences in Reports

Comparative RA Rate > Hospital RA Rate, Upper Confidence Interval Value

Comparative RA Rate = Hospital RA Rate, Within Values of Lower and Upper Confidence Intervals

Comparative RA Rate < Hospital RA Rate, Lower Confidence Interval Value