Risk Ratio Calculator
The Risk Ratio Calculator computes the risk ratio (incidence rate ratio) between exposed and unexposed populations. Calculate attributable risk and population attributable fraction to quantify the public health impact of risk factors.
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What is a Risk Ratio?
A risk ratio (also called incidence rate ratio) compares the incidence of an outcome in an exposed group to that in an unexposed group. It is mathematically identical to relative risk when calculated from cumulative incidence data. RR = 3.0 means the exposed group has 3 times the incidence rate of the outcome.
Risk ratios are preferred in public health because they directly communicate the fold-increase in disease risk. Combined with attributable risk (AR = risk_exposed - risk_unexposed), they quantify both relative and absolute disease burden from an exposure.
Fórmulas y Ecuaciones Utilizadas
Esta Risk Ratio Calculator utiliza 5 ecuaciones principales:
1 Risk Ratio ▼
Exposed rate: 15 per 1000. Unexposed rate: 5 per 1000. RR = 15/5 = 3.0.
2 Attributable Risk ▼
AR = 15/1000 - 5/1000 = 10/1000. The exposure accounts for 10 extra cases per 1000.
3 Population Attributable Fraction ▼
If 30% of population exposed and RR = 3: PAF = 0.3×2 / (1+0.3×2) = 0.375 = 37.5%.
Cómo Usar esta Calculadora
Para usar esta Calculadora de Relación, siga 3 pasos:
Ingrese los Valores
Escriba los valores de relación conocidos en los campos de entrada. Deje un campo vacío; ese es el valor desconocido que resuelve la Calculadora de Relación.
Elija el Modo
Seleccione el modo de relación: Resolver, Simplificar o Escalar. Cada modo aplica diferentes ecuaciones a sus valores de entrada.
Obtenga Resultados
Haga clic en Calcular. La pantalla de resultados muestra la respuesta con una barra de relación visual, un gráfico circular y un desglose de la solución paso a paso.
Problemas de Ejemplo y Soluciones Paso a Paso
Aquí hay 3 problemas de ejemplo con soluciones paso a paso usando esta Calculadora de Relación:
Entrada 1 Disease rates: 20/1000 exposed vs 5/1000 unexposed
Entrada 2 Calculate PAF: 40% exposed, RR = 2.5
Entrada 3 Protective factor: vaccinated risk 3%, unvaccinated 12%
Preguntas Frecuentes
How is risk ratio different from odds ratio? ▼
Risk ratio uses incidence proportions: events/total. Odds ratio uses odds: events/non-events. For rare outcomes (< 10%), OR ≈ RR. For common outcomes (> 10%), OR overestimates the strength of association compared to RR.
What does attributable risk tell us? ▼
Attributable risk (AR) is the absolute difference in risk between exposed and unexposed groups. It tells you how many additional cases per unit of population are caused by the exposure, which is useful for public health resource planning.
What is population attributable fraction? ▼
PAF estimates the proportion of disease in the total population that would be prevented if the exposure were eliminated. A PAF of 37.5% means eliminating the exposure would prevent 37.5% of all cases.
Can risk ratio be calculated from case-control studies? ▼
No. Case-control studies sample by outcome status, making the denominator (total exposed/unexposed) unknown. Use odds ratio instead. Risk ratio requires cohort data where you follow groups forward in time.
What is a clinically meaningful risk ratio? ▼
Context matters. In oncology, RR = 0.80 (20% reduction) may be significant for a deadly cancer. In preventive medicine, RR = 0.50 (50% reduction) is typically considered clinically meaningful. Always report alongside AR and NNT.