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Measures of AssociationSPH 231February 7, 2013
Measures of Association• Comparing the frequency of diseasebetween exposed and unexposed• Measures of association (effect)...
Measures of Association• Show the strength of the relationshipbetween an exposure and outcome• Indicate how more or less l...
Absolute Measures of Association• Based on DIFFERENCE between twomeasures of disease frequency• May range from -1 to 1– If...
Absolute Measures of Association• Incidence– Risk difference = Cumulative Incidence inExposure – Cumulative Incidence inUn...
Absolute Measures of Association• Incidence Differences– Both differences measure the excess numberof NEW cases among the ...
Relative Measures of Association• The RATIO of two disease frequencies– Risk Ratio (aka Cumulative Incidence Ratio,aka Rel...
Relative Measures of Association• Relative measures may range from 0 toinfinity• Relative measures assess the strength ofa...
Data Layouts• Typically, epidemiologists organize studydata as a 2x2 table– Column = Disease or Outcome status (Yes orNo)–...
2 x 2 TablesUsed to summarize counts of disease andexposure to calculate measures of associationOutcomeExposure Yes No Tot...
2 x 2 Tablesa = number exposed with outcomeb = number exposed without outcomec = number not exposed with outcomed = number...
Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
Cumulative incidence• Cumulative incidence in the exposed =• Cumulative incidence in the unexposed =aa bcc d
Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
Example• Cumulative incidence in the exposed =• Cumulative incidence in the unexposed =
Interpretation• Cumulative incidence in the exposed:-10% of the exposed group developed thedisease in the study period• Cu...
Risk difference and ratio• Risk Difference =• Risk Ratio (Relative Risk, RR) =a ca b c daa bcc d
Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
Example• Risk Difference =• Risk Ratio =
Interpretation• Risk Difference:In a population of 100 exposed people, therewould be 5 additional cases of disease thanwha...
Relative Risk ExampleEscherichia coli?Pinkhamburger Yes NoTotalYes 23 10 33No 7 60 67Total 30 70 100a / (a + b) 23 / 33RR ...
Odds Ratio• Used with case-control studies• Population at risk is not known (selectedparticipants by disease status)• Calc...
2x2 tablesa bc dDiseased Non-diseasedExposedUnexposeda+bc+da+c a+d a+b+c+d = N* Assume incidence data over 1 year
Odds• Odds of disease in the exposed =• Odds of disease in the unexposed =abcd
Odds Ratio• Odds Ratio == a/b x d/c= a x d / b x ca/bc/d
Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
Example• Odds of disease in the exposed =• Odds of disease in the unexposed =1000.119001000.051900
Example• Odds Ratio =100100 *1900900 2.11100 100 * 9001900
Interpretation• Odds Ratio:(OR as an estimate of RR)The risk of developing the disease in theexposed group is 2.11 times t...
Odds Ratio ExampleIncreased BloodPressureCaffeineintake “high”? Yes NoTotalYes 130 115 245No 120 135 255Total 250 250 500a...
Interpreting Risk and OddsRatiosRR or OR< 1• Exposureassociatedwithdecreasedrisk ofoutcomeRR or OR= 1• Noassociationbetwee...
Interpretation• RR = 5– People who were exposed are 5 times more likely tohave the outcome when compared with persons whow...
Measures of Association (Effect)• Prevalence difference• Prevalence ratio• Risk difference• Risk ratio• Incidence rate dif...
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Measures of association 2013

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  • How do we interpret risk and odds ratios? We use the following general rules, which can also be used to interpret any other type of relative measure:A risk ratio of less than 1.0 means that the exposure is associated with a decreased risk of the outcome, or that the exposure is protective. It is also called a negative association.A risk ratio of 1.0 means that there is no association between the exposure and the outcome. This is also called the null value.A risk ratio of greater than 1.0 means that the exposure is associated with an increased risk of developing the outcome. It is also called a positive association.In our high blood pressure example, the odds ratio was 1.27, which is greater than 1, indicating that the exposure, high caffeine intake, is associated with the outcome, high blood pressure.
  • Transcript of "Measures of association 2013"

    1. 1. Measures of AssociationSPH 231February 7, 2013
    2. 2. Measures of Association• Comparing the frequency of diseasebetween exposed and unexposed• Measures of association (effect)• There are two types of measures ofassociation– Absolute measures– Relative measures
    3. 3. Measures of Association• Show the strength of the relationshipbetween an exposure and outcome• Indicate how more or less likely a group isto develop disease as compared toanother group
    4. 4. Absolute Measures of Association• Based on DIFFERENCE between twomeasures of disease frequency• May range from -1 to 1– If value of difference measure=0 then nodifference between exposed and unexposed• Difference measures are useful forassessing the public health impact of anexposure
    5. 5. Absolute Measures of Association• Incidence– Risk difference = Cumulative Incidence inExposure – Cumulative Incidence inUnexposed– Rate Difference = Incidence Rate in Exposed– Incidence Rate in Unexposed• Prevalence– Prevalence Difference = Prevalence inExposed – Prevalence in Unexposed
    6. 6. Absolute Measures of Association• Incidence Differences– Both differences measure the excess numberof NEW cases among the exposed comparedto the unexposed• Prevalence Differences– Measures excess number of EXISTING casesamong exposed compared to unexposed at aparticular point in time
    7. 7. Relative Measures of Association• The RATIO of two disease frequencies– Risk Ratio (aka Cumulative Incidence Ratio,aka Relative Risk)– Rate Ratio– Prevalence Ratio• Relative measures may be interpreted asthe excess Risk, Rate, or Prevalence inexposed relative to the unexposed
    8. 8. Relative Measures of Association• Relative measures may range from 0 toinfinity• Relative measures assess the strength ofassociation between exposure anddisease and are useful in identifying riskfactors
    9. 9. Data Layouts• Typically, epidemiologists organize studydata as a 2x2 table– Column = Disease or Outcome status (Yes orNo)– Row = Exposure Status (Yes or No)• Study participants assigned to one of thefour cells according to their individualexposure and disease state• Results used to calculate and comparefrequency of disease according toexposure
    10. 10. 2 x 2 TablesUsed to summarize counts of disease andexposure to calculate measures of associationOutcomeExposure Yes No TotalYes a b a + bNo c d c + dTotal a + c b + d a + b + c + d
    11. 11. 2 x 2 Tablesa = number exposed with outcomeb = number exposed without outcomec = number not exposed with outcomed = number not exposed without outcome******************************a + b = total number exposedc + d = total number not exposeda + c = total number with outcomeb + d = total number without outcomea + b + c + d = total study population (N)a bc dOutcomeYes NoExposureYesNo
    12. 12. Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
    13. 13. Cumulative incidence• Cumulative incidence in the exposed =• Cumulative incidence in the unexposed =aa bcc d
    14. 14. Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
    15. 15. Example• Cumulative incidence in the exposed =• Cumulative incidence in the unexposed =
    16. 16. Interpretation• Cumulative incidence in the exposed:-10% of the exposed group developed thedisease in the study period• Cumulative incidence in the unexposed:-5% of the unexposed group developedthe disease in the study period
    17. 17. Risk difference and ratio• Risk Difference =• Risk Ratio (Relative Risk, RR) =a ca b c daa bcc d
    18. 18. Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
    19. 19. Example• Risk Difference =• Risk Ratio =
    20. 20. Interpretation• Risk Difference:In a population of 100 exposed people, therewould be 5 additional cases of disease thanwhat you would observe if exposure wasabsent in the study period• Risk Ratio:The risk of developing the disease in theexposed group is two times the risk ofdeveloping the disease in the unexposed groupin the study period
    21. 21. Relative Risk ExampleEscherichia coli?Pinkhamburger Yes NoTotalYes 23 10 33No 7 60 67Total 30 70 100a / (a + b) 23 / 33RR = = = 6.67c / (c + d) 7 / 67
    22. 22. Odds Ratio• Used with case-control studies• Population at risk is not known (selectedparticipants by disease status)• Calculate odds instead of risksa x dOR =b x c
    23. 23. 2x2 tablesa bc dDiseased Non-diseasedExposedUnexposeda+bc+da+c a+d a+b+c+d = N* Assume incidence data over 1 year
    24. 24. Odds• Odds of disease in the exposed =• Odds of disease in the unexposed =abcd
    25. 25. Odds Ratio• Odds Ratio == a/b x d/c= a x d / b x ca/bc/d
    26. 26. Example100 900100 1900ExposedUnexposed1,0002,000200 2,800 3,000Diseased Non-diseased* Assume incidence data over 1 year
    27. 27. Example• Odds of disease in the exposed =• Odds of disease in the unexposed =1000.119001000.051900
    28. 28. Example• Odds Ratio =100100 *1900900 2.11100 100 * 9001900
    29. 29. Interpretation• Odds Ratio:(OR as an estimate of RR)The risk of developing the disease in theexposed group is 2.11 times the risk ofdeveloping the disease in the unexposedgroup during the study period
    30. 30. Odds Ratio ExampleIncreased BloodPressureCaffeineintake “high”? Yes NoTotalYes 130 115 245No 120 135 255Total 250 250 500a x d 130 x 135OR = = = 1.27b x c 115 x 120
    31. 31. Interpreting Risk and OddsRatiosRR or OR< 1• Exposureassociatedwithdecreasedrisk ofoutcomeRR or OR= 1• NoassociationbetweenexposureandoutcomeRR or OR> 1• Exposureassociatedwithincreasedrisk ofoutcome
    32. 32. Interpretation• RR = 5– People who were exposed are 5 times more likely tohave the outcome when compared with persons whowere not exposed• RR = 0.5– People who were exposed are half as likely to havethe outcome when compared with persons who werenot exposed• RR = 1– People who were exposed are no more or less likelyto have the outcome when compared to persons whowere not exposed
    33. 33. Measures of Association (Effect)• Prevalence difference• Prevalence ratio• Risk difference• Risk ratio• Incidence rate difference• Incidence rate ratio• Odds ratioAPPROPRIATE MEASURE DEPENDS ON THESTUDY YOU HAVE CONDUCTED
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