
The death rate in a hospital, or mortality rate, is a crucial indicator of the quality of care provided. It is calculated as the ratio of the number of deaths to the number of patients with a particular diagnosis or condition. This ratio is then compared to the expected mortality rate, which is influenced by factors such as patient characteristics, age, sex, and underlying health conditions. The calculation of mortality rates can be challenging, especially when considering specific populations or causes of death, and various methods, such as standardisation, are employed to ensure fairness and accuracy in comparisons. Mortality rates are essential for evaluating hospital performance, identifying areas for improvement, and guiding patients in making informed healthcare decisions.
| Characteristics | Values |
|---|---|
| Time period | Typically a calendar year or multiple years |
| Age-specific rate | Number of deaths for a specified age group per 1,000 population of that age group |
| Case fatality rate | Number of deaths from a specific disease or condition per 1,000 reported cases of the same disease or condition |
| Cause-specific death rate | Number of deaths from a specific cause per 100,000 population |
| Standardised mortality ratio | Compares a specific population's likelihood of death to a standard/reference population |
| Risk-adjusted mortality rate | Accounts for differing risk profiles of patients, including age, sex, and underlying health conditions |
| Observed mortality rate | Number of deaths divided by the number of cases |
| Expected mortality rate | Calculated using a logistic regression model based on patient and case characteristics |
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What You'll Learn

Standardised mortality ratio
A standardised mortality ratio (SMR) is a quantity that describes whether a specific population, such as patients in a certain hospital, are more, less, or equally likely to die than a standard or reference population, such as patients in all hospitals across a country. SMR is calculated by dividing the observed number of deaths by the expected number of deaths. This ratio can be expressed as a percentage by multiplying it by 100.
For example, if a hospital treats n patients with a particular diagnosis and X of these patients die, the observed mortality rate (OMR) is X/n. To obtain the SMR, the OMR is then multiplied by the statewide observed mortality rate (SOMR) or national mortality rate (NMR). An SMR value of less than 1.0 indicates that there were fewer than expected deaths in the study population, while a value greater than 1.0 indicates more than expected deaths (excess deaths).
The SMR is a useful tool for comparing hospitals or trends in death rates over time while considering the population's age distribution. Populations with a higher elderly population are likely to have a higher death rate, so comparing trends in death rates over time with consideration of age distribution can provide a fairer comparison. While age and sex are important factors in mortality rates, other factors such as diagnosis and illness severity can also influence mortality rates and may be included in SMR calculations.
The Summary Hospital Mortality Indicator (SHMI) is another ratio used to help with national reviews of hospital mortality. One common variant is the Hospital Standardised Mortality Ratio (HSMR). The choice of 'standard' population is critical when calculating SMR, as comparing SMRs calculated with different standard populations can be misleading. Additionally, SMR does not include morbidity data, so it is important to consider that patients may survive hospital admission but be in very poor health afterward.
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Observed mortality rate
The observed mortality rate (OMR) is a key metric for hospitals to assess and improve their performance. It is calculated by dividing the number of deaths by the number of cases, providing a ratio that represents the proportion of patients who passed away while receiving treatment. For example, if a hospital treats 100 patients for a particular diagnosis and 10 of these patients pass away, the OMR would be 10/100 or 0.1, indicating a 10% mortality rate.
The OMR is a critical component of understanding and evaluating hospital performance and can be further contextualized by comparing it to the expected mortality rate (EMR). The EMR is calculated by multiplying person-time accrued in a cohort by mortality rates for a reference population, representing the expected mortality rate in the absence of exposure. By comparing the OMR to the EMR, hospitals can identify if their mortality rate is better or worse than expected.
The ratio of OMR to EMR is then multiplied by the statewide observed mortality rate (SOMR) or national mortality rate (NMR) to derive the risk-adjusted mortality rate (RAMR). The RAMR allows for a more comprehensive assessment of hospital performance by accounting for differing risk profiles of patients. This includes factors such as age, sex, and underlying health conditions, which can significantly impact mortality rates.
While the RAMR is a valuable tool, it is important to recognize that it has limitations. The calculation assumes that each patient in the hospital with a given condition has the same probability of death, which may not always be the case due to varying patient characteristics. Additionally, the accuracy of the RAMR as a valid indicator of hospital quality has been questioned, highlighting the importance of considering multiple factors when evaluating healthcare services.
In summary, the observed mortality rate is a crucial metric for hospitals to assess their performance and identify areas for improvement. By comparing the OMR to the EMR and calculating the RAMR, hospitals can gain insights into the effectiveness of their treatments and the quality of care provided. However, it is essential to approach these metrics with caution and consider additional factors that may impact patient outcomes.
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Cause-specific death rate
The cause-specific death rate is a measure of the frequency of occurrence of death with a specific cause in a defined population during a specified interval. This rate is calculated by taking the number of deaths from a specified cause and dividing it by the estimated midyear population, then multiplying that figure by 100,000.
For example, to calculate the number of deaths attributed to a specific disease or condition, you would use the following formula: Number of deaths from a specified cause / Number of reported cases of the same disease or condition * 1,000. This is also referred to as the case fatality rate.
The death-to-case ratio is another way to calculate cause-specific death rates. This method simply divides the number of cause-specific deaths that occurred during a specified time by the number of new cases of that disease during the same time. The death-to-case ratio includes all deaths, even those among persons whose onset of disease was years earlier, whereas the case fatality rate only includes deaths among the new cases in the denominator.
These calculations are often used to assess hospital performance and quality of care. For instance, the Inpatient Mortality Indicators (IMIs) developed by the Agency for Healthcare Research and Quality (AHRQ) are used to rate hospitals as "Better," "Worse," or "As Expected" by comparing their risk-adjusted mortality rates with overall statewide rates. The Risk-Adjusted Mortality Rate (RAMR) methodology attempts to account for differing patient risk profiles, using a logistic regression model to estimate each patient's probability of death based on their characteristics. However, the accuracy of the RAMR as a valid indicator of hospital quality has been questioned by some studies.
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Age-adjusted death rate
The formula for ASDR is:
ASDR = deaths in age group ÷ estimated population of that age group × 100,000
Each ASDR is then multiplied by the proportion of the standard population in that same age group. The age-specific results are summed to get the age-adjusted death rate for the area of study. This is called the direct method of standardization. The formula for the age-adjusted death rate is:
AADR = Summation of (ASDR X standard proportion)
The direct method of standardization changes the amount that each age group contributes to the overall rate in each community, so that the overall rates are based on the same age structure. Rates that are based on the same age distribution can be compared to each other without the presence of confounding by age.
The constant or "per population" number used for the age-adjusted rates may vary, depending on the type of event. For example, the age-adjusted rates for deaths are per 100,000 population. However, age-adjusted rates for hospitalizations and procedures are per 10,000 population, and age-adjusted rates for emergency department visits are per 1,000 population.
The National Center for Health Statistics recommends that the U.S. 2000 standard population be used when calculating age-adjusted rates. However, if you are comparing rates from different sources, it is important to use the same standard population for both sides of your comparison.
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Case fatality rate
Number of deaths from a specified cause / Number of cases of the disease or condition) * 1,000
For example, if there are 50 deaths from a particular disease and 1,000 reported cases of that disease, the CFR would be 5% (50/1,000) * 1,000. This rate can be used to compare the severity of different diseases or conditions and to track changes in severity over time.
It is important to note that the CFR does not consider the size or demographic characteristics of the population being studied. As such, it may be more appropriate to use other measures, such as the standardised mortality ratio (SMR), which takes into account the age and sex distribution of the population. The SMR is calculated by comparing the observed number of deaths in a study population to the expected number of deaths if the age and sex distribution was the same as that of a standard population. This method is particularly useful when the age-specific rates for the study population are unknown or unavailable.
In the context of hospitals, mortality rates are often used as indicators of quality and performance. The risk-adjusted mortality rate (RAMR) is a commonly used metric that attempts to account for differing patient risk profiles, including age, sex, and underlying health conditions. Hospitals with higher RAMRs compared to state or national averages may indicate opportunities for care quality improvement. However, it is important to interpret these rates with caution as they can be influenced by various factors, including sample size and patient characteristics.
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Frequently asked questions
A death rate, or mortality rate, is a measure of the number of deaths within a particular population over a chosen time interval.
There are several types of death rates, including:
- Age-specific death rates
- Cause-specific death rates
- Maternal death rates
- Infant, post-neonatal, and neonatal death rates
To calculate the death rate for a hospital, you would calculate the ratio of the observed mortality rate (OMR) to the expected mortality rate (EMR). The OMR is the number of deaths divided by the number of cases, and the EMR is estimated using a logistic regression model that considers patient and case characteristics.
When calculating death rates, factors such as age, sex, race, underlying health conditions, and cause of death may be considered. These factors can be used to adjust the death rate to account for differing risk profiles among patient populations.
Death rates, or mortality rates, can vary substantially across hospitals, indicating differential quality of care provided. Hospitals may be rated as "better," "worse," or "as expected" when comparing their risk-adjusted mortality rates with overall statewide rates.


























