| Literature DB >> 19468493 |
Sohail Bajammal1, Mohit Bhandari, Philipp Dahm.
Abstract
UNLABELLED: Surgical interventions have inherent benefits and associated risks. Before implementing a new therapy, we should ascertain the benefits and risks of the therapy, and assure ourselves that the resources consumed in the intervention will not be exorbitant.Entities:
Keywords: Bibliographic; databases; evidence-based medicine; information storage and retrieval
Year: 2008 PMID: 19468493 PMCID: PMC2684393 DOI: 10.4103/0970-1591.44245
Source DB: PubMed Journal: Indian J Urol ISSN: 0970-1591
Hypothetical study example used for the calculation of absolute risk reduction, relative risk, relative risk reduction, and odds ratio
| Group | Outcome of interest | Total | |
|---|---|---|---|
| Present | Absent | ||
| Treatment | a | b | a+b |
| Control | c | d | c+d |
Formulas:
The event rate in the treatment group = Y = a / (a+b)
The event rate in the control group = X = c / (c+d)
Absolute risk reduction (ARR) = X-Y
Relative risk (RR) = Y/X
Relative risk reduction (RRR) = (1 - Y/X) × 100
Odds of the outcome in the treatment group = a/b
Odds of the outcome in the control group = c/d
Odds ratio (OR) = (a/b) / (c/d) = ad / bc
Calculations from the Hypothetical Example:
First: You read in the results section of a study where 20 out of 200 patients in the treatment group and 40 out of 200 patients in the control group developed stress incontinence one year after surgery.
Second: Draw a 2 × 2 table and replace the letters a, b, c, and d in the table above with numbers from the results you read. In this example, the treatment group total number of patients is 200 (i.e. a+b = 200) and the number of patients with the outcome of interest (stress incontinence) in the treatment group is 20 (i.e., a = 20). You calculate the patients in the treatment group who did not have the outcome of interest (i.e. b) by subtracting 20 from 200.
Similarly, for the control group the total number of patients is 200 (i.e. c+d = 200) and the number of patients with stress incontinence is 40 (i.e., c = 40).
Third: Solve using formulas aforementioned.
The event rate in the treatment group = Y = a / (a+b) = 20 / 200 = 0.1
The event rate in the control group = X = c / (c+d) = 40 / 200 = 0.2
Absolute risk reduction (ARR) = X-Y = 0.2 − 0.1= 0.1
Relative risk (RR) = Y/X = 0.1 / 0.2 = 0.5
Relative risk reduction (RRR) = (1 - Y/X) × 100 = (1−0.5) × 100 = 50%
Odds ratio (OR) = (a/b) / (c/d) = ad / bc= (20 × 160) / (180 × 40) = 0.44