Formulas for Exam 1 Flashcards
Cumulative Incidence
= Number of new cases of disease/ Number at-risk in population
*during specified time period
This estimates the probability (risk) that a person will develop disease during a specified time
PROPORTION expressed as a %
Attack rate
=Number of new cases of disease /Total population at risk
*for “limited” period of observation
NOT actually a rate, a fraction
For acute epidemics and outbreaks
Case-Fatality Rate
Case-Fatality Rate = Number of deaths from disease/
Number of cases of that disease
*in a specified time period
Another CI measure
NOT a rate but a fraction
Reflects severity of disease
Incidence Rate (IR)
IR = Number of new cases of disease/ Total at-risk person-time of observation
*during time period
TRUE RATE
“Incidence density” another name
Mortality Rate
Mortality Rate = Total number of deaths/
Total person-time of follow-up
mid-year population rate of dying during a time period
Mortality (cumulative incidence of death)
Mortality = Total number of deaths/
Total population during time of relevance
NOT a rate but a CI of dying
RISK
IR and CI relationtionship
CI ≈ IR * Time Period
*for CI < 10%
Prevalence
P = Number of existing cases of disease / Total number of people in population at that time
A proportion
Survival
Survival = Number still alive by time(X) / Total number with disease at start of follow-up
not a rate
Birth defect rate
Birth defect “rate” = Number of children born with defects/ Total number of births
NOT a rate
Point prevalence and incidence prevalence relationship
time duration* IR = P / (1-P)
P ~ IR * D when P is <10%
The time duration is the average time that the disease lasts in the population (afterdiagnosis, before recovery, emigration or death)
Direct Adjustment Computation
Age-adjusted rate = (age-specific rate × weight)
Absolute measures (CI or Prevalence)
Prevalence or cumulative incidence (depending upon sampling) = a/(a+b) among exposed = c/(c+d) among unexposed = (a+c)/( a+b+c+d) among total sample
Absolute Measure (IR)
Incidence Rate:
= a/(PTexp) among exposed
= c/(PTunexp) among unexposed
= (a+c)/( PTtot) in total sample
Risk Difference “Attributable risk”
RD = Rexp− Runexp
For CI: RD = CID = CIexp- CIunexp= [a / (a+b)] – [c / (c+d)]
For IR: RD = IRD = IRexp- IRunexp= [a / PTexp] – [c / PTunexp]
For Prev: RD = PD = Pexp - Punexp= [a / (a+b)] – [c / (c+d)]
excesss risk in the exposed group