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The crude death rate is defined as "the mortality rate from all causes of death for a population," calculated as the "total number of deaths during a given time interval" divided by the "mid-interval population", per 1,000 or 100,000; for instance, the population of the U.S. was around 290,810,000 in 2003, and in that year, approximately 2,419,900 deaths occurred in total, giving a crude death ...
Life table. In actuarial science and demography, a life table (also called a mortality table or actuarial table) is a table which shows, for each age, the probability that a person of that age will die before their next birthday ("probability of death "). In other words, it represents the survivorship of people from a certain population. [1]
An odds ratio ( OR) is a statistic that quantifies the strength of the association between two events, A and B. The odds ratio is defined as the ratio of the odds of event A taking place in the presence of B, and the odds of A in the absence of B. Due to symmetry, odds ratio reciprocally calculates the ratio of the odds of B occurring in the ...
The Kaplan–Meier estimator, [1] [2] also known as the product limit estimator, is a non-parametric statistic used to estimate the survival function from lifetime data. In medical research, it is often used to measure the fraction of patients living for a certain amount of time after treatment. In other fields, Kaplan–Meier estimators may be ...
Standardized mortality ratio. The standardized mortality ratio is the ratio of observed deaths in the study group to expected deaths in the general population. [2] This ratio can be expressed as a percentage simply by multiplying by 100. [citation needed] The SMR may be quoted as either a ratio or a percentage.
Hazard ratio. In survival analysis, the hazard ratio ( HR) is the ratio of the hazard rates corresponding to the conditions characterised by two distinct levels of a treatment variable of interest. For example, in a clinical study of a drug, the treated population may die at twice the rate per unit time [clarify] of the control population.
Under de Moivre's law, the probability that (x) fails to survive to age x+t is. The force of mortality ( hazard rate or failure rate) is where f (x) is the probability density function. Under de Moivre's law, the force of mortality for a life aged x is. which has the property of an increasing failure rate with respect to age.
The force of mortality μ ( x) uniquely defines a probability density function fX ( x ). The force of mortality can be interpreted as the conditional density of failure at age x, while f ( x) is the unconditional density of failure at age x. [1] The unconditional density of failure at age x is the product of the probability of survival to age x ...