Risk, summary measures, probability + distribution Flashcards
How do you calculate the absolute risk difference (ARD)?
|p(test) - p(control)|
Risk difference, ignoring the sign
How do you calculate the p(test)
a/a+c
Proportion of subjects with a positive outcome under the test treatment
How do you calculate the p(control)
b/b+d
Proportion of subjects with a positive outcome under the control treatment
How do you calculate the relative risk?
p(test)/p(control)
a/(a+c))/(b/b+d)
How do you calculate the number needed to treat? (NNT)
1/ARD
1/|p(test)-p(control)|
How do you calculate odds?
p/(1-p)
How do you calculate odds ratio?
odds(test)/odds(control)
(a/c)/(b/d)
ad/bc
6 properties of normal distribution curve
- Bell-shaped
- Symmetrical
- Peak of the curve lies above the mean
- Mean + median coincide
- Any position along the horizontal axis can be expressed as number of SDs away from the mean
- Total area under the curve is 1 or 100%
What proportion of observations lie outside the mean +/- 1SD of a normal distribution?
32% (31.7%)
What proportion of observations lie outside the mean +/- 2SD of a normal distribution?
5% (actually 1.96SD)
How do you calculate the standardised normal deviate (Z)/number of standard deviations away from the mean?
Z =(X−μ)/σ
X = random variable with normal distribution
μ = mean
σ = standard deviation
When reading the probability from a table of Z values, what is it important to remember?
Cell in table contains probability X+Z
What proportion of observations lie outside the mean +/- 3SD of a normal distribution?
0.27%