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Case-Control study
Dr Paul T Francis, MD
Com Med
College of Medicine, Zawia
Contents
Introduction
Design() of study
Selection of cases and controls
Calculation of Exposure rates
Calculation of Odds ratio
Calculation of ‘P’ value
Problem ()
200 students appeared for Exam()
Only 90 passed, 110 failed
Problem – Why many students failed?
What is the reason ()?
 Analysis – Possible() reasons for
failure
1. Question paper difficult - No
2. Lecture taken – Yes
3. Attended lecture – All students did not
attend.
 How do we know not attending the
lecture is the correct() reason?
Case Control study
Reason=
Failed in
exam
(Problem +)
Pass
(Problem -)
Reason +
(absent from
lecture) a b a+b
Reason ‘–’
(present for
lecture) c d c+d
a+c b+d
Failed in
exam
(problem+)
Pass
(Problem-)
Reason ‘+’
(absent from
lecture)
a+b
Reason ‘–’
(present for lecture)
c+d
110 (a+c) 90 (b+d) 200
100 (a)
80 (d)
10 (b)
10 (c)
Analysis
Odds ratio = axd/bxc
100x80/10x10
= 80
 Students not attending lecture has 80 times
more chance() of failing in the exam than
those who attend the lecture.
This result is not by chance() because P-value is <
(less than) 0.05
Seal
A sea animal that eats fish and lives around coasts.
Phocomelia
Phocomelia
 In 1950 many children in Europe were born
with Phocomelia
 Doctors were worried() . Why is this
happening()?
 They asked mothers of these children
 Was there any problem during pregnancy? No
 Did they suffer from any disease? No
 Did they take any medicine? Yes – Thalidomide for
morning sickness
Thalidomide tragedy
They did a Case-Control study to find
whether it is the reason
Case-Control study proved() that
Thalidomide was the cause
Thalidomide was banned()
Analytical epidemiology
We test whether there is an association(,
) between a disease and the
suspected() factor
We also measure the strength() of
association
Case Control study
Sometimes called ‘retrospective
() study’
Is the first step() to test hypothesis
Both cause() and outcome (disease)
have occurred before doing the study
Proceeds() backwards from effect to
cause
Case Control study
There is a control or comparison() group
to test the hypothesis
This is the most important feature of
Analytical epidemiology
Design of a Case Control study
Cases
(Disease+)
Control
(Disease-)
Risk factor
present(+)
a b
Risk factor
absent (-)
c d
a+c b+d
Design of Case Control study
a b
c d
a+c b+d
Cases
(Disease +)
Control
(Disease -)
Risk factor +
Risk factor -
Steps in a Case Control study
Selection() of cases and controls
Matching
Measurement of exposure to risk factor
Analysis and interpretation
Selection of Cases
Cases selected should have the correct
diagnosis
Only cases with the confirmed()
diagnosis should be included
Selection of Controls
Controls must be FREE from the
disease under study.
If there are sub-clinical cases, do
laboratory test to make sure that the
person has no disease
Sources of controls
Hospitals (patients having other disease)
Neighborhood controls
General population
How many controls will you take for a
case?
In large studies generally 1
In small studies (below 50) up to 4
Matching
Matching is a process by which we
select controls in a such a way that they
are similar() to cases in important
variables
Age, Sex, Occupation etc.()
By matching we can neutralize() any
confounding() factor()
Matching - examples
 For studying Lung cancer the Controls should
be males and not females
 For studying Lung cancer the Controls should
be adult males and not small boys
 For studying Breast cancer the controls should
be females and not males!
 For studying Breast cancer the controls should
be adult females and not small girls
Measurement of exposure to cause
There must be a clear Definition for the
risk factor.
That should be same for Cases and
Controls
E.g. Smoking- number of cigarettes,
duration of smoking, type of cigarette
etc.
Analysis
Calculate exposure rates among cases
and controls
Calculate the disease risk associated
with exposure (Odds ratio)
Cigarette smoking and Lung cancer
Descriptive epidemiology of Lung cancer
patients was done and the following are
the important characteristics()
Males
Cigarette smokers
Hypothesis is ‘cigarette smoking is the
cause for lung cancer’
Analysis
Exposure rate to smoking
Cases = a/a+c 33/35 = 94.2%
Controls = b/b+d 55/82 = 67%
Cases (Lung
cancer +)
Controls ( No
lung cancer)
Smoking +
Smoking -
33(a) 55(b)
2(c) 27(d)
35(a+c) 82(b+d)
Estimation of risk
Those who are having lung cancer are
smoking more(94.2%)
However it does not mean that 94.2% of
all smokers will develop lung cancer.
We estimate risk to develop lung cancer
in smokers by calculating ‘Odds ratio’
Odds ratio
Odds ratio = ad/bc
33x27/55x2 = 8.1
Those who smoke have 8.1 times the risk
of developing Lung cancer than those
who do not smoke
If the odds ratio is 1 means no risk
P- value
We have found cigarette smokers has
8.1 times more risk of getting Lung
cancer
There are thousands of Lung cancer
patients in the world
We have taken only a small() sample()
of 35 cases
How do we know it is true for all lung
cancer patients?
P-value
To see if this association is due to
chance()
It is the probability() that the difference is
due to chance
If P value is <0.05 it is considered
statistically significant()
P value in lung cancer study is <0.001
Analysis
CC study - advantages
Easy to conduct()
Inexpensive ()
No risk() to people
No attrition (loss of patients) problems
No ethical() problems
CC study - disadvantages
Problem of accuracy() of data
Loss of memory()
 How many cigarettes a person smoked 20 years
ago?
Incomplete() records
 What medicine a lady took in pregnancy?
Getting good controls is difficult()
Summary
Case Control study is used to test
hypothesis
It involves four steps
Selection of cases and controls
Matching
Measuring exposure
Analysis (Exposure rate, Odds ratio and P
value)
Summary
 The analysis of
Case Control study
is by a
2x2 design
 Exposure rates are
calculated among
cases and controls
Dis + Dis -
RF + a b
RF - c d
a+c b+d
Summary
Odds ratio is calculated to estimate the
risk of disease among those who are
exposed to the cause
P value is calculated to know whether
the difference is statistically significant
Case Control study helps us prove the
cause of disease
Case-Control Study Finds Smoking Increases Lung Cancer Risk by 8 Times

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Case-Control Study Finds Smoking Increases Lung Cancer Risk by 8 Times

  • 1. Case-Control study Dr Paul T Francis, MD Com Med College of Medicine, Zawia
  • 2. Contents Introduction Design() of study Selection of cases and controls Calculation of Exposure rates Calculation of Odds ratio Calculation of ‘P’ value
  • 3. Problem () 200 students appeared for Exam() Only 90 passed, 110 failed Problem – Why many students failed?
  • 4. What is the reason ()?  Analysis – Possible() reasons for failure 1. Question paper difficult - No 2. Lecture taken – Yes 3. Attended lecture – All students did not attend.  How do we know not attending the lecture is the correct() reason?
  • 5. Case Control study Reason= Failed in exam (Problem +) Pass (Problem -) Reason + (absent from lecture) a b a+b Reason ‘–’ (present for lecture) c d c+d a+c b+d
  • 6. Failed in exam (problem+) Pass (Problem-) Reason ‘+’ (absent from lecture) a+b Reason ‘–’ (present for lecture) c+d 110 (a+c) 90 (b+d) 200 100 (a) 80 (d) 10 (b) 10 (c)
  • 7. Analysis Odds ratio = axd/bxc 100x80/10x10 = 80  Students not attending lecture has 80 times more chance() of failing in the exam than those who attend the lecture.
  • 8. This result is not by chance() because P-value is < (less than) 0.05
  • 9. Seal A sea animal that eats fish and lives around coasts.
  • 11. Phocomelia  In 1950 many children in Europe were born with Phocomelia  Doctors were worried() . Why is this happening()?  They asked mothers of these children  Was there any problem during pregnancy? No  Did they suffer from any disease? No  Did they take any medicine? Yes – Thalidomide for morning sickness
  • 12. Thalidomide tragedy They did a Case-Control study to find whether it is the reason Case-Control study proved() that Thalidomide was the cause Thalidomide was banned()
  • 13. Analytical epidemiology We test whether there is an association(, ) between a disease and the suspected() factor We also measure the strength() of association
  • 14. Case Control study Sometimes called ‘retrospective () study’ Is the first step() to test hypothesis Both cause() and outcome (disease) have occurred before doing the study Proceeds() backwards from effect to cause
  • 15. Case Control study There is a control or comparison() group to test the hypothesis This is the most important feature of Analytical epidemiology
  • 16. Design of a Case Control study Cases (Disease+) Control (Disease-) Risk factor present(+) a b Risk factor absent (-) c d a+c b+d
  • 17. Design of Case Control study a b c d a+c b+d Cases (Disease +) Control (Disease -) Risk factor + Risk factor -
  • 18. Steps in a Case Control study Selection() of cases and controls Matching Measurement of exposure to risk factor Analysis and interpretation
  • 19. Selection of Cases Cases selected should have the correct diagnosis Only cases with the confirmed() diagnosis should be included
  • 20. Selection of Controls Controls must be FREE from the disease under study. If there are sub-clinical cases, do laboratory test to make sure that the person has no disease
  • 21. Sources of controls Hospitals (patients having other disease) Neighborhood controls General population How many controls will you take for a case? In large studies generally 1 In small studies (below 50) up to 4
  • 22. Matching Matching is a process by which we select controls in a such a way that they are similar() to cases in important variables Age, Sex, Occupation etc.() By matching we can neutralize() any confounding() factor()
  • 23. Matching - examples  For studying Lung cancer the Controls should be males and not females  For studying Lung cancer the Controls should be adult males and not small boys  For studying Breast cancer the controls should be females and not males!  For studying Breast cancer the controls should be adult females and not small girls
  • 24. Measurement of exposure to cause There must be a clear Definition for the risk factor. That should be same for Cases and Controls E.g. Smoking- number of cigarettes, duration of smoking, type of cigarette etc.
  • 25. Analysis Calculate exposure rates among cases and controls Calculate the disease risk associated with exposure (Odds ratio)
  • 26. Cigarette smoking and Lung cancer Descriptive epidemiology of Lung cancer patients was done and the following are the important characteristics() Males Cigarette smokers Hypothesis is ‘cigarette smoking is the cause for lung cancer’
  • 27. Analysis Exposure rate to smoking Cases = a/a+c 33/35 = 94.2% Controls = b/b+d 55/82 = 67% Cases (Lung cancer +) Controls ( No lung cancer) Smoking + Smoking - 33(a) 55(b) 2(c) 27(d) 35(a+c) 82(b+d)
  • 28. Estimation of risk Those who are having lung cancer are smoking more(94.2%) However it does not mean that 94.2% of all smokers will develop lung cancer. We estimate risk to develop lung cancer in smokers by calculating ‘Odds ratio’
  • 29. Odds ratio Odds ratio = ad/bc 33x27/55x2 = 8.1 Those who smoke have 8.1 times the risk of developing Lung cancer than those who do not smoke If the odds ratio is 1 means no risk
  • 30. P- value We have found cigarette smokers has 8.1 times more risk of getting Lung cancer There are thousands of Lung cancer patients in the world We have taken only a small() sample() of 35 cases How do we know it is true for all lung cancer patients?
  • 31. P-value To see if this association is due to chance() It is the probability() that the difference is due to chance If P value is <0.05 it is considered statistically significant() P value in lung cancer study is <0.001
  • 33. CC study - advantages Easy to conduct() Inexpensive () No risk() to people No attrition (loss of patients) problems No ethical() problems
  • 34. CC study - disadvantages Problem of accuracy() of data Loss of memory()  How many cigarettes a person smoked 20 years ago? Incomplete() records  What medicine a lady took in pregnancy? Getting good controls is difficult()
  • 35. Summary Case Control study is used to test hypothesis It involves four steps Selection of cases and controls Matching Measuring exposure Analysis (Exposure rate, Odds ratio and P value)
  • 36. Summary  The analysis of Case Control study is by a 2x2 design  Exposure rates are calculated among cases and controls Dis + Dis - RF + a b RF - c d a+c b+d
  • 37. Summary Odds ratio is calculated to estimate the risk of disease among those who are exposed to the cause P value is calculated to know whether the difference is statistically significant Case Control study helps us prove the cause of disease