What is the odds ratio for the following?Screening test resultsDiagnosis Total DiseasedNot diseasedPositiveabNegativecdTotala+bb+d
Ans. a (ad/bc). (Ref: Park PSM 22nd/pg. 70, 75, 86)1. Relative riskRR =Incidence of disease (or death) among exposed-----------------------------Incidence of disease (or death) among non-exposed2. Odds Ratio (Cross-product ratio)Odds ratio = ad/bc# The odds ratio is a measure of effect size particularly important in Bayesian statistics and logistic regression.# It is defined as the ratio of the odds of an event occurring in one group to the odds of it occurring in another group, or to a data-based estimate of that ratio. These groups might be men and women, an experimental group and a control group, or any other dichotomous classification.# An odds ratio of 1 indicates that the condition or event under study is equally likely in both groups. An odds ratio greater than 1 indicates that the condition or event is more likely in the first group. And an odds ratio less than 1 indicates that the condition or event is less likely in the first group. The odds ratio must be zero or greater than zero. As the odds of the first group approaches zero, the odds ratio approaches zero. As the odds of the second group approaches zero, the odds ratio approaches positive infinity.3. Attributable RiskAR =Incidence of disease rate among exposed - incidence of disease rate among non-exposed--------------------------------------------------Incidence rate among exposedx 100 Screening test resultsDiagnosisTotal DiseasedNot diseased Positivea(true positive)b(faIse positive)a + bNegativec(False negative)d(True negative)C+dTotala + bb+da+b+c+d Sensitivity = TP/(TP+FN)Specificity= TN/(TN+FP)Positive predictive value=TP/(TP+FP)Negative predictive value = TN/(TN+FN)Accuracy=(TP+TN)/(TP+TN+FP+FN) Specificity = a---a + c Specificity = d---b + d Positive predictive value PPV = a---a + b Negative predictive value NPV = d---c + d Relative riskRR =Attributable riskAR =-Hardy-weinberg equilibriump2+2pq+q2=lp+q=l
ad/bc
ab/cd
ac/bd
bc/ad
Epidemiology