Exposure → Disease

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    Exposure Disease?

    Exposed cases from a population

    If the same people, at the same time,had not been exposed would they still have become cases?

    Observed

    Expected

    Comparison

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    Analytical epidemiology Important considerations

    Estimation of the right thing Internal validity: Bias, confounding

    Retrieval of most information for least cost Efficieny: Precision, resources, time-scale

    Means to obtain the right answer

    Proper study design Proper analysis Proper interpretation

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    Comparisons are fundamental

    Different solutions with differentreference groups:

    Experimental study design Randomized controlled trial (RCT)

    Observational study design Cohort study Case-control study

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    Cohort study

    What is a cohort? Originally: one of 10 divisions of a Roman legion Group of individuals

    Sharing some characteristics

    Followed up for specified period of time Examples:

    Birth cohort Cohort of guests at barbecue Occupational cohort of chemical plant workers The cohort of this course

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    Cohort study

    Cases

    Compare disease in exposed to disease in unexposed

    Source population

    Exposed

    Unexposed

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    Reference group: Cohort study

    Unexposed Information on disease in

    unexposed Free of disease at beginning of

    follow-up

    At risk of disease (e.g. notimmune)

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    Cohort study Relative risk (RR)

    RR = AR in exposed

    =a / (a+b)

    AR in unexposed c / (c+d)

    Disease No disease Total

    Exposed a b a+b

    Unexposed c d c+d

    RR is a gold standard effect measure!

    Attack rate, AR = diseased / total (AR is a risk)

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    t i m e

    Exposure Study starts Disease

    Prospective cohort study

    t i m e

    ExposureStudy starts Disease

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    Retrospective cohort study

    Exposure

    t i m e

    Disease Study starts

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    Case-control studySource population

    Exposed

    Unexposed

    Cases

    Controls =representative sampleof source population

    Compare exposure in cases to exposure in controls

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    Reference group: Case-control study

    Controls Information on exposure in source

    population Representative sample of source

    population Same inclusion/exclusion criteria as

    cases At risk of disease

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    Case-control study Odds ratio (OR)

    Cases Controls

    Exposed a b

    Unexposed c d

    OR =

    Odds of exposure incases

    =a / c

    =a d

    Odds of exposure incontrols b / d b c

    Odds of exposure = exposed / unexposed

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    RR versus ORDisease No disease Total

    Exposed a b a+b

    Unexposed c d c+d

    RR =a / (a+b)

    =a (c+d)

    c / (c+d) c (a+b)

    OR = a / c = a db / d b c

    Ifd

    =c+d

    then OR=RRb a+b

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    Types of case-control studies

    Retrospective Different control selection strategies

    1. Traditional, exclusive / cumulative design

    2. Case-cohort, inclusive design

    3. Risk-set / density sampling

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    Case-control study:Traditional, exclusive / cumulative

    design Controls from disease-free people in

    the end OR estimates RR when disease is rare

    ( 10%)

    t i m e

    Exposure Disease Cases

    Controls

    l d

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    Case-control study:Case-cohort, inclusive design

    Controls from all people in thebeginning

    Controls could also be cases OR estimates RR

    t i m e

    Exposure CasesDisease

    Controls

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    Case-control study:Risk-set / density sampling

    Controls from all people when caseoccurs

    Controls could also be cases OR estimates RR

    t i m e

    ExposureDisease

    Case

    Control

    DiseaseCase

    Control

    DiseaseCase

    Control

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    Matching in case-control studies

    Frequency matching (n:m), e.g. age group Individual matching (1:1), e.g. birth date

    Age strata(yrs)

    CasesControls

    Unmatched Matched

    0-14 50 10 50

    15-29 30 25 3030-44 15 25 15

    45- 5 40 5

    Total 100 100 100

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    Matching in case-control studies Makes the distribution of the matching variable

    (confounder) similar for cases and controls Stratified comparison when controlling for the matching

    variable (confounder) become more efficient

    Matched controls are a biased, not representative, sampleof the source population This bias must be taken into account with a matched

    analyses Mantel-Haenszel formula for OR Conditional logistic regression

    Matching variables cannot be studied Do not match unless you have to

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    Sources of controls Population (e.g. register)

    Reduce risk of selection bias for controls Neighbourhood, friends, family

    Matching for social factors Overmatching underestimation?

    Random digit dialling Selection bias?

    Hospital Selection bias?

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    Cohort or case-control study?

    Cohort study Gold standard Risk of inefficieny (large

    cohorts,long follow-up)

    Use when: High attack rate

    Rare exposure Multiple diseases

    Case-control study Often more efficient Risk of selection bias

    for controls

    Use when: Low attack rate

    Rare disease Multiple exposures

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    Retrospective or prospective design?

    Retrospective design Cases and healthy

    people may reportexposure differently

    (recall bias) Temporal relationship

    exposure-disease maybe difficult to determine

    (reversed causality)

    Prospective design Maybe impossible Time- and resource-

    consuming

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    Cohort or case-control study?

    RR =29 / 53

    =0.55

    = 2.3 (95%CI 1.2-4.5)8 / 34 0.24

    Outbreak of gastroenteritis after eatingin restaurant, 37 of 87 visitors ill

    Disease No disease Total

    Exposed 29 24 53

    Unexposed 8 26 34

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    Cohort or case-control study?

    Increase in Legionella cases in theNetherlands, 23 cases in a week

    Cases ControlsExposed 17 21

    Unexposed 6 30

    OR =17 / 6

    =17 30

    = 4.0 (95%CI 1.2-14.5)21 / 30 21 6

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    Further reading

    Epidemiology: An Introduction, chapter 4Kenneth J. RothmanOxford University Press, 2002Acknowledgement:M. Kivi; EPIET