Absolute Differences
Subtracting frequencies (subtracting Counts) assume that….
Relative Differences
Ratio of Frequencies (division of counts). Still assuming..
Risk a.k.a, Incidence Risk (IR)
Risk Ratio (RR) or “Relative Risk”
Ratio of the Risk from 2 different groups
When is a Risk Ratio/Relative Risk (RR) customarily used?
In studies when the subjects are allocated based on exposure (y/n) and evaluated for disease (outcome) e.g. cohort studies. Think 2 x 2 table
What is Risk?
A PROPORTION PART÷WHOLE
Interpreting Ratio’s, Risk (RR), Odds (OR), Hazard (HR):
When the ratio is equal to 1
No difference (no increase/no decrease in risk/odds/ratio
Interpreting Ratio’s, Risk (RR), Odds (OR), Hazard (HR):
When the ratio is >1.0
Increased “ratio” (RR/OR/HR)
Interpreting Ratio’s, Risk (RR), Odds (OR), Hazard (HR):
When the ratio is ≥ 2.0
use statement of “times Control” for interpretation
+2.0 to ∞
- if OR= 6.18, then comparator group is 6.18 times greater odds. Greater because “ratio” value is above 1.0
Interpreting Ratio’s, Risk (RR), Odds (OR), Hazard (HR):
when the ratio is < 1.0
Decreased “ratio” (RR/OR/HR)
0.00001 to 0.99 = subtract decimal value from 1 (answer converted to %) for interpretation
If HR = 073, then a 27% lower probability of the hazard outcome, LOWER b/c “ratio” value is BELOW 1.0
Absolute Risk Reduction (ARR) [a.k.a. Attributable Risk (AR)]
Simple “absolute” difference (subtraction) in risks
-if Risk in “exposed” = 1.5 & risk in “unexposed” = 1.2 then… “exposed” had a 0.3 times (or 30%) greater risk (compared to “unexposed”)
AR defines the excess risk of the outcome among “exposed” that can be “attributed” to the actual exposure.
Relative Risk Reduction (RRR)
(ARR) ÷ R unexposed. From the ARR example note card, 0.3 ÷ 1.2 = 25% relative greater risk i “exposed”
Number Needed to Treat (NNT) & Number needed to Harm (NNH)
interpretation: number of (whole) patients needed to be treated to receive the stated benefit/harm
1 ÷ Absolute Risk Reduction (1/ARR)
From ARR note card 1 ÷ 0.3 = 3.33; [ 4 patients ]
Odds
Odds of exposure vs. odds of NOT being exposed (in cases)
A ÷ C (not a simple percentage)
Odds of exposures vs. odds of NOT being exposed (in Controls)
B ÷ D (not a simple Percentage)
Odds Ratio (OR)
Odds of exposure in Cases vs. odds of exposure in Controls.
Odds of Exposure (in cases) ÷ odds of exposure (in controls) *** calculated as [(A ÷ C) ÷ (B ÷ D)]
When are Odds Ratio (OR) customarily used?
In studies where subjects are allocated based on disease presence (y/n) and evaluated for exposure. e.g. Case-Control Studies
What is Z for?
ZAK, which isn’t funny.