Concept of Measuring Risk
To every disease event or outcome, there is a risk or
risks.
The risk of a disease event is measured in three ways:
i. Relative risk,
ii. Attributable risk,
iii. Absolute risk.
Relative risk (RR)
It is ratio of incidence of the disease among the exposed and
incidence among the non-exposed.
RR (incidence of disease among exposed)/
(Incidence of disease among non-exposed)
=a/(ab)/c/(cd)
=28/17.4
=1.6
If RR is more than 1, then there is a positive association
If RR is equal to 1, then there is no association
Smokers develop CHD 1.6 times more than nonsmokers.
Relative risk (RR)
Expresses risk of developing a diseases in exposed
group (a + b) as compared to non-exposed group (c
+ d)
RR= Incidence (risk) among exposed
Incidence (risk) among non-exposed
RR= a/(a+b)
c/(c+d)
Interpretation of relative risk
What does a RR of 2 mean?
Risk in exposed =RRX Risk in non-exposed
RR of 2 means
Risk in exposed=2X Risk in non-exposed
Thus a relative risk of 2 means the exposed
group is two times at a higher risk when
compared to non-exposed
Attributable Risk (AR)
AR indicates how much of the risk is due to
/attributable/ to the exposure
Quantifies the excess risk in the exposed that can
be attributable to the exposure by removing the
risk of the disease occurred due to other causes
AR= Risk (incidence) in exposed- Risk (incidence)
in non-exposed
AR= {a/(a+b)} / {c/(c+d)))}
Attributable risk is also called risk difference
Attributable risk (AR)
This is defined as amount or proportion of disease
incidence that can be attributed to a specific exposure.
It indicates to what extent the disease under study can be
attributed to the exposure:
(incidence of disease among exposed)
- (incidence of disease among non exposed)/
(Incidence of disease among exposed)
Example
The incidence of colon cancer disease
among cigarette smokers is 28.
The incidence of the same disease
among the non-smokers is 17.4
Calculate the attributable risk of the
disease to the population at risk.
Solution
AR= Risk (incidence) in exposed- Risk
(incidence) in non-exposed
AR=28-17.4/28
=10.6/28
= 0.379
= 37.9%
37. 9% of colon cancer disease among
the smokers was due to smoking.
Interpreting AR
What does attributable risk of 10 mean?
10 of the exposed cases are attributable to
the exposure.
By removing the exposure one can prevent
10 cases from getting the disease.
Attributable risk percent (AR%)
Estimates the proportion of disease among the
exposed that is attributable to the exposure.
The proportion of the disease in the exposed that
can be eliminated by eliminating the exposure
AR%=(Risk in exposed – Risk in non expose) X100%
Risk in exposed
Interpretation of AR%
What does AR% of 10% mean?
10% of the disease can be attributed to the
exposure.
10% of the disease can be eliminated if we
avoid the exposure.
Population Attributable Risk (PAR)
Estimates the rate of disease in the total
population that is attributable to exposure.
PAR = Risk in population – Risk in unexposed.
PAR = Prevalence rate of exposure.
Population attributable risk percent
(PAR%)
Estimates the proportion of disease in the
study population that is attributable to
exposure and thus could be eliminated if the
exposure were eliminated.
PAR%= Risk in population – Risk in unexposed
Risk in population
Possible outcomes in studying the
relationship between exposure &
disease
1.No association
RR=1
AR=0
2. Positive association
RR>1
AR>0
3. Negative association
RR<1 (fraction)
AR<0 (Negative)
Absolute Risk
Also called incidence
Incidence enables us to determine a person's
probability of being diagnosed with a disease during
a given time.
Hence, incidence is the number of new cases
diagnosed with a disease.
Because it deals with new disease events,
incidence is a measure of risk.
An incidence rate is the number of new cases of a
disease divided by the number of persons at risk for
the disease per a constant population.
Odds ratio
It is a measure of strength of association between the
risk factor and outcome.
The derivation of the odds ratio is based on three
assumptions:
●
The disease being investigated is relatively rare
●
The cases must be representative of those with the
disease
●
The controls must be representative of those without the
disease.
Odds ratio a.d/b.c
33X27/55X2 = 8.1
People who smoke less than 5 cigarettes per
day showed a risk of having lung cancer 8.1
times higher as compared to non-smokers.
OR is > 1- "those with the disease are more
likely to have been exposed,"
OR close to 1 then the exposure and disease
are not likely associated.
OR <1-exposure is a protective factor in the
causation of the disease.
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