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Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

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Page 1: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Measures of disease occurrence

T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen

Epidemiology

Peter Kreidl

Page 2: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Objectives

• Define and use

– Risk

- Cumulative incidence (CI)

- Attack rate (AR)

- Rate

- Incidence rate (IR)

– Odds

– Prevalence

Page 3: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

RISK

Page 4: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Risk

Page 5: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

RISK

• Non-technical definition– Vague, culture-dependent– Unexpected, unusual, dangerous/negative

events

Page 6: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

RISK

• Non-technical definition– Vague, culture-dependent– Unexpected, unusual, dangerous/negative

events

• Epidemiologic definition– Probability that an event will occur– Estimated by:

• Observing events among a population • during a specified time

Page 7: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Cumulative Incidence (CI)(Incidence Proportion)

Number of NEW cases of disease during a period

Population at the beginning of the period

Page 8: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Cumulative Incidence (CI)(Incidence Proportion)

Number of NEW cases of disease during a period

Population at the beginning of the period

Ex: Bilharziosis in Guadeloupe in 1979:

Population 350,000New cases 1,250Cumulative incidence = 0.0036 per year

= 0.36 % per year= 3.6 new cases / 1000 during

a year

Page 9: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

xx

x

x

x

x

xx disease onset

Month 1 Month12

Cumulative Incidence

Population = 12 Diseased = 7

Page 10: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

xx

x

x

x

x

xx disease onset

Month 1 Month12

Cumulative Incidence

CI = 7/12

= 0.58 per year

= 58% per year

Page 11: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

xx

x

x

x

x

xx disease onset

Month 1 Month12

Cumulative Incidence

CI = 7/12

= 0.58 per year

= 58% per year

CI assumes that the entire population at risk is followed up for the same time period

Page 12: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Attack Rate (AR)

• Cumulative incidence during an outbreakExpressed for the entire epidemic period, from the

first to the last case

• Not really a rate but a proportion!

Page 13: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Attack Rate (AR)

• Cumulative incidence during an outbreakExpressed for the entire epidemic period, from the

first to the last case

• Not really a rate but a proportion!

Ex: Outbreak of cholera in country X in March 1999

– Number of cases 490– Population 18,600– Attack rate 2.6%

Page 14: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

RISK

• The probability that an event will occur

Proportion !

• Cumulative incidence or incidence proportion

• Attack rate

Page 15: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Rate

Page 16: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Incidence rate

Number of NEW cases of disease

Total person - time of observation

Page 17: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Incidence rate

Number of NEW cases of disease

Total person - time of observation

Rate

Denominator:- is a measure of time - the sum of each individual’s time at risk and free from disease

Page 18: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

A

B

C

D

E

90 91 92 93 94 95 96 97 98 99 Time at risk

x

x

6.0

6.0

10.0

8.5

5.0

Total years at risk 35.5

-- time followedx disease onset

Person-time

Page 19: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

A

B

C

D

E

90 91 92 93 94 95 96 97 98 99 00 Time at risk

x

x

6.0

6.0

10.0

8.5

5.0

Total years at risk 35.5

-- time followedx disease onset

Incidence rate (IR)(Incidence density)

IR = 2 / 35.5 person years

= 0.056 cases / person year

= 5.6 cases / 100 person years

= 56 cases / 1000 person years

Page 20: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds

Page 21: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds (plural)Probability that an event will happen

Probability that an event will not happen

Page 22: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds

Won Lost Total------------------------------------------------------------------------------------------------------------------------------------------------

EPIET facilitatorteam 1995-2004 14 1 15--------------------------------------------------------------------------------------------------------------------------------------------------

Probability that an event will happen

Probability that an event will not happen

Page 23: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds

Won Lost Total------------------------------------------------------------------------------------------------------------------------------------------------

EPIET facilitatorteam 1995-2004 14 1 15--------------------------------------------------------------------------------------------------------------------------------------------------

Probability that an event will happen

Probability that an event will not happen

14 / 15

Odds of winning = ------------- 1 / 15

= 14 : 1 = 14

Page 24: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds of a rare event equal the risk of rare event

Page 25: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds of a rare event equal the risk of rare event

The number of hepatitis cases during an outbreak

Cases Non cases Population------------------------------------------------------------------------------------Hepatitis A 30 49,970 50,000------------------------------------------------------------------------------------

Page 26: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds of a rare event equal the risk of rare event

The number of hepatitis cases during an outbreak

Cases Non cases Population------------------------------------------------------------------------------------Hepatitis A 30 49,970 50,000------------------------------------------------------------------------------------

30 / 50,000

Odds of disease = ------------------------ = 0.006 49,970 / 50,000

Page 27: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Odds of a rare event equal the risk of rare event

The number of hepatitis cases during an outbreak

Cases Non cases Population------------------------------------------------------------------------------------Hepatitis A 30 49,970 50,000------------------------------------------------------------------------------------

30 / 50,000

Odds of disease = ------------------------ = 0.006 49,970 / 50,000

Risk (CI) of disease = 30/50,000 = 0.006

Page 28: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Summary of disease occurence

• Risk

– Cumulative incidence or incidence proportion

– Attack rate

• Rate

– Incidence rate

• Odds

Page 29: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Prevalence (point prevalence)

Number of cases of disease at a specific time

Population of interest at that time

Page 30: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Prevalence (point prevalence)

Number of cases of disease at a specific time

Population of interest at that time

Proportion of a population affected by a disease at a given time.

Expressed as a percentage

Page 31: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

Prevalence (point prevalence)

Number of cases of disease at a specific time

Population of interest at that time

Proportion of a population affected by a disease at a given time.

Expressed as a percentage

Ex: Bilharziosis in Guadeloupe in 1979:

Population 350,000Cases 96,200Prevalence 27.6%

Page 32: Measures of disease occurrence T Ancelle / A Bosman / D Coulombier / A Moren / P Sudre / M Valenciano/ P Penttinen Peter Kreidl

References

• Epidemiology, an introduction. Rothman KJ.

• Epidemiology in Medicine. Henneckens CH, Buring JE.

• Modern infectious disease epidemiology. Giesecke J.

• Dictionary of epidemiology. Last J.