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Epidemiologic Measures CHEN Yu-ming  陈裕明 Prof., PhD Dept. Medical Statistics & Epidemiology Sun Yat-sen Univ.
Example  ,[object Object],[object Object],[object Object],Obese Sub. Normal Sub. Total n % n % n % Diabetic patients 300 30 700 70 1000 100
Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object]
Main contents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Definition and use of ratio, proportion and rate
What, who is in the Numerator & denominator?  ,[object Object],[object Object],[object Object],[object Object]
1. Count ,[object Object],[object Object],[object Object],[object Object],Female: 5 Male: 2 •  Useful for allocation of health resources • Limited usefulness for epidemiologic purposes without knowing size of the source population
2. Ratio ,[object Object],[object Object],[object Object],= 5 /  2   =  2.5 / 1
Ratio, Examples ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
3. Proportion 2 --- = 0.5 = 50%  4 ,[object Object],[object Object],[object Object],[object Object],[object Object]
Proportion, Examples ,[object Object],[object Object],[object Object]
Rate ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Rate ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],2 ----- = 0.02 /  year   100 Observed in 2005
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Rates – Example
Discussion Question What does a crude annual death rate of 8.64 per 1,000 mean?
Discussion Question ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Measuring the Occurrence of Disease Morbidity
Measures of Disease Occurence ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
1. Prevalence—definition Number of cases of disease at a specific time   Population  exposed at that time ,[object Object],[object Object]
1. Prevalence— Example ,[object Object],[object Object],[object Object],[object Object]
1. Prevalence— three elements: ,[object Object],[object Object],[object Object]
1. Prevalence— Types ,[object Object],[object Object],[object Object]
Prevalence Ratio males/women=2/8 Point Prevalence: Mar 1 =3/10 Proportion of women=2/10=2% Period Prevalence Mar-Jul =7/10 3 P-mo 3 P-mo 2 P-mo 4 P-mo 4 P-mo 2 P-mo D D D D 0 1 2 3 4 5 6 7 8 9 10 Jan Feb Mar Apr May Jun Jul
Examples ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Limitation of Prevalence ,[object Object],[object Object],[object Object],[object Object]
2. Incidence— Definition   ,[object Object]
2. Incidence — Three elements  ,[object Object],[object Object],[object Object],[object Object]
New case ,[object Object],[object Object]
Population at risk (PAR) ,[object Object],[object Object],[object Object],[object Object]
Factors affecting population at risk ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Calculating population at risk ,[object Object],[object Object],[object Object]
Calculating population at risk ,[object Object],[object Object],[object Object],[object Object]
Specification of a time period ,[object Object],[object Object]
Incidence  Incidence rate (IR) Incidence density (ID) Rate (speed) For open population Cumulative incidence (CI) Incidence proportion (IP) Risk (probability) For closed population 2. Incidence —  Types
[object Object],[object Object],[object Object],[object Object],2. Incidence  — Cumulative Incidence
Risk CI assumes that entire population at risk  followed up for specified time period x x x x x x x x   disease onset lost to followup Month 1 Month12 CI = 7/12 per year = 0.58 per year 2. Incidence  — Cumulative Incidence (CI)
Closed population Population at risk Deaths Cases Emigration/losses   time 2. Incidence  — Cumulative Incidence
Closed population ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],2. Incidence  — Cumulative Incidence
Attack Rate ,[object Object],[object Object],[object Object],[object Object],2. Incidence — Cumulative Incidence
Attack Rate, example ,[object Object],[object Object],[object Object],[object Object],2. Incidence — Cumulative Incidence
CI vs Prevalence ,[object Object],[object Object],[object Object],2. Incidence — Cumulative Incidence
Limitation of CI ,[object Object],[object Object],0  25  50  75  100y x x 0  25  50  75  100y x x CI = 2/2=100% Mean life span=37.5 y CI = 2/2=100% Mean life span=87.5 y 2. Incidence — Cumulative Incidence
Limitation of CI Risk May under- or over-estimate the risk when a high loss rate x x x x x x x x   disease onset lost to followup Month 1 Month12 CI = 7/12 per year = 0.58 per year 2. Incidence — Cumulative Incidence
Incidence rate ,[object Object],[object Object],[object Object],2. Incidence —  Incidence Rate (IR)
Incidence rate  Rate Instantaneous concept (like speed) Denominator: -  is a measure of time  -  the sum of each individual’s time  at risk     and  free from disease -  IR = No. of new cases/ total time   = news cases / unit time
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 11.0 9.5 5.0 Total years at risk  37.5  -- time followed x disease onset lost-to-followup ID = 2 / 37.5  person- years = 0.053  person-year  2. Incidence —  Incidence Rate
Open population  Population at risk births deaths cases Immigration Emigration/losses time 2. Incidence —  Incidence Rate
Open Populations   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],2. Incidence —  Incidence Rate
Open population ,[object Object],[object Object],[object Object],[object Object],2. Incidence —  Incidence Rate
Cumulative Incidence vs Incidence rate ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],2. Incidence —  Incidence Rate
Relationship of CI and IR 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 1 3 5 7 9 11 13 15 17 19 21 Age Cumulative incidence Incidence rate Cumulative incidence 1-14 years Cumulative incidence 1-7 years
Relationship of CI and IR time Cumulative incidence 0.2 0.4 0.6 0.8 1.0 Slope=  Incidence rate If IR is constant,  CI = IR    time
In general: Risk estimates derived from IR and CI calculations will be similar when: • Follow-up loss is minimal • The disease of interest o ccurs infrequently. CI  is most useful if interest centers on the  average risk  of an individual will become ill  over  a specified period of time. IR  is preferred if interest centers on  how fast  the new cases are occurring in the population. Comparison of IR and CI
Discussion Question How are incidence and prevalence of disease related?
Relationship of CI and prevalence
[object Object],[object Object],[object Object],[object Object],[object Object],Relationship between  CI and prevalence
[object Object],[object Object],[object Object],[object Object],[object Object],Conditions for equation to be true:
Factors affecting the relation of incidence and prevalence ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Factors affecting the relation of incidence and prevalence (cont’d) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Prevalence and incidence Ratio males/women=2/8 Point Prevalence: Mar 1 =3/10 Proportion of women=2/10=2% Period Prevalence Mar-Jul =7/10 Incidence Proportion Mar-Jul =4/7 Incidence density Mar-Jul = 4/18 person-month 3 P-mo 3 P-mo 2 P-mo 4 P-mo 4 P-mo 2 P-mo D D D D 0 1 2 3 4 5 6 7 8 9 10 Jan Feb Mar Apr May Jun Jul
Prevalence vs incidence  Point prevalence Period prevalence CI IR Numerator  Existing cases (old and new) Existing and new cases New cases New cases Denominator  Initial Pop.  Mid-point Pop. Initial or Midyear Pop. Person-time Time  One point A period  A period A period Unit None None None No./PT Type proportion proportion proportion rate Example question Do you currently have asthma? Have you had asthma during the last year? Have you ever had asthma last year? Study types Cross-sectional studies surveillance closed Cohort studies Open Cohort studies
Dealing with recurrent cases ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Uses of Incidence & Prevalence Measures ,[object Object],[object Object],[object Object],[object Object],[object Object]
Uses of Incidence & Prevalence Measures ,[object Object],[object Object],[object Object],[object Object]
Discussion Question Why is incidence preferred over prevalence when studying the etiology of disease?
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Discussion Question
[object Object],[object Object],Discussion Question
Summary of Incidence and Prevalence  ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Measuring the disease occurrence Mortality
Mortality rates ,[object Object],Because the pop. Changes over time, the number of persons in the Pop. At midyear is generally used as an approximation.
Mortality rates ,[object Object],[object Object],[object Object],[object Object]
Specific Mortality Rates ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cause-specific death rates ,[object Object]
Top 10 causes of death in USA 美国前十位死因
Case-fatality rates ,[object Object],What percentage of people diagnosed as having a certain disease die within a certain time after diagnosis?
Case-fatality rates ,[object Object],[object Object],[object Object],[object Object],[object Object],Is this a proportion or rate?
Survival rate ,[object Object]
Comparison of mortality rate and case-fatality rate ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Proportionate mortality ,[object Object]
Death, by broad cause group in 2000 Injuries (9.1%) Noncommunicable conditions (59. 0 %) Communicable diseases, maternal and perinatal conditions and nutritional deficiencies (31. 9 %) Total deaths: 55,694,000 Source:  WHO,  World Health Report 200 1
References ,[object Object],[object Object],[object Object]
Thanks!

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2.epidemilogic measures

  • 1. Epidemiologic Measures CHEN Yu-ming 陈裕明 Prof., PhD Dept. Medical Statistics & Epidemiology Sun Yat-sen Univ.
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  • 5. Definition and use of ratio, proportion and rate
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  • 15. Discussion Question What does a crude annual death rate of 8.64 per 1,000 mean?
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  • 17. Measuring the Occurrence of Disease Morbidity
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  • 23. Prevalence Ratio males/women=2/8 Point Prevalence: Mar 1 =3/10 Proportion of women=2/10=2% Period Prevalence Mar-Jul =7/10 3 P-mo 3 P-mo 2 P-mo 4 P-mo 4 P-mo 2 P-mo D D D D 0 1 2 3 4 5 6 7 8 9 10 Jan Feb Mar Apr May Jun Jul
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  • 34. Incidence Incidence rate (IR) Incidence density (ID) Rate (speed) For open population Cumulative incidence (CI) Incidence proportion (IP) Risk (probability) For closed population 2. Incidence — Types
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  • 36. Risk CI assumes that entire population at risk followed up for specified time period x x x x x x x x disease onset lost to followup Month 1 Month12 CI = 7/12 per year = 0.58 per year 2. Incidence — Cumulative Incidence (CI)
  • 37. Closed population Population at risk Deaths Cases Emigration/losses time 2. Incidence — Cumulative Incidence
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  • 43. Limitation of CI Risk May under- or over-estimate the risk when a high loss rate x x x x x x x x disease onset lost to followup Month 1 Month12 CI = 7/12 per year = 0.58 per year 2. Incidence — Cumulative Incidence
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  • 45. Incidence rate Rate Instantaneous concept (like speed) Denominator: - is a measure of time - the sum of each individual’s time at risk and free from disease - IR = No. of new cases/ total time = news cases / unit time
  • 46. 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 11.0 9.5 5.0 Total years at risk 37.5 -- time followed x disease onset lost-to-followup ID = 2 / 37.5 person- years = 0.053 person-year 2. Incidence — Incidence Rate
  • 47. Open population Population at risk births deaths cases Immigration Emigration/losses time 2. Incidence — Incidence Rate
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  • 51. Relationship of CI and IR 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 1 3 5 7 9 11 13 15 17 19 21 Age Cumulative incidence Incidence rate Cumulative incidence 1-14 years Cumulative incidence 1-7 years
  • 52. Relationship of CI and IR time Cumulative incidence 0.2 0.4 0.6 0.8 1.0 Slope= Incidence rate If IR is constant, CI = IR  time
  • 53. In general: Risk estimates derived from IR and CI calculations will be similar when: • Follow-up loss is minimal • The disease of interest o ccurs infrequently. CI is most useful if interest centers on the average risk of an individual will become ill over a specified period of time. IR is preferred if interest centers on how fast the new cases are occurring in the population. Comparison of IR and CI
  • 54. Discussion Question How are incidence and prevalence of disease related?
  • 55. Relationship of CI and prevalence
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  • 60. Prevalence and incidence Ratio males/women=2/8 Point Prevalence: Mar 1 =3/10 Proportion of women=2/10=2% Period Prevalence Mar-Jul =7/10 Incidence Proportion Mar-Jul =4/7 Incidence density Mar-Jul = 4/18 person-month 3 P-mo 3 P-mo 2 P-mo 4 P-mo 4 P-mo 2 P-mo D D D D 0 1 2 3 4 5 6 7 8 9 10 Jan Feb Mar Apr May Jun Jul
  • 61. Prevalence vs incidence Point prevalence Period prevalence CI IR Numerator Existing cases (old and new) Existing and new cases New cases New cases Denominator Initial Pop. Mid-point Pop. Initial or Midyear Pop. Person-time Time One point A period A period A period Unit None None None No./PT Type proportion proportion proportion rate Example question Do you currently have asthma? Have you had asthma during the last year? Have you ever had asthma last year? Study types Cross-sectional studies surveillance closed Cohort studies Open Cohort studies
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  • 65. Discussion Question Why is incidence preferred over prevalence when studying the etiology of disease?
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  • 70. Measuring the disease occurrence Mortality
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  • 75. Top 10 causes of death in USA 美国前十位死因
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  • 81. Death, by broad cause group in 2000 Injuries (9.1%) Noncommunicable conditions (59. 0 %) Communicable diseases, maternal and perinatal conditions and nutritional deficiencies (31. 9 %) Total deaths: 55,694,000 Source: WHO, World Health Report 200 1
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