This document discusses various measures used in epidemiology to quantify disease frequency and mortality. It defines rates, ratios and proportions as the main measures of frequency. Rates include crude death rate, specific rates and standardized rates. Ratios include odds ratio and relative risk. Proportions measure parts of a whole. Incidence and prevalence are discussed as measures of morbidity along with their uses. Mortality indicators covered include crude death rate, specific death rates, case fatality rates and proportional mortality. Standardized death rates are also defined.
1. MBBS.USMLE, DPH, Dip-Card, M.Phil, FCPS
Professor Community
Medicine/Epidemiolgy
Ex- Professor Community Medicine
UmulQurrah University Makka Saudi Arabia
3. Measures in Epidemiology
Numbers of cases
Proportional mortality
Proportional mortality
ratio
Actual/Crude
prevalence and
incidence rates
Specific prevalence
and incidence rates
Standardised rates
Standardised ratios
Relative risk
Odds ratio
Attributable risks
Numbers needed to
treat and prevent
Life years lost
Disability adjusted life
year (DALY)
Quality adjusted life
year (QALY)
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4. Components of epidemiology:-
Disease frequency.
Distribution
determinants.
Disease frequency.
Distribution.
Determinants.
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5. Scope of measurement:-
Mortality.
Morbidity.
Disability.
Presence & absence or distribution of..
Medical needs.
Utilization of health services.
Demographic variables.
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7. Rate
Measures the occurrence of an event or
disease in a given population during a given
period (one Year).
(Birth rate, growth rate, accident rate)
Usually expressed per 100 or per1000
population.
It has a time dimension, whereas a
PROPORTION does not.
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8. A fraction is made up of 2 numbers.
The top number is called the NUMERATOR
and the bottom number is called the
DENOMINATOR.
In the fraction ¾ the 3 is the numerator
and the 4 is the denominator.
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9. Rate comprises-
No of death in one year
Death rate= -------------------- X 1000
Total mid year population
Numerator
Denominator.
Time specification
Multiplier
(Numerator is part of denominator )
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10. 10
Rate: when we say that there were 500
deaths from motor vehicle accidents in city
A during 2014, its nothing more than
counting deaths in that city during that
particular year.
It conveys no meaning to an epidemiologist
who is interested in comparing the
frequency of accidents in city A with that in
city B.
To allow such comparisons, the frequency
must be expressed as a rate. It is the basic
measure of disease occurrence
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11. 1. Rate: = No. of events in a specified period x K
Pop. at risk in a specified period
A rate comprises a numerator, denominator, time
specification & multiplier. The time dimension is usually a
calendar year. Rate is expressed per 1000, 10,000 or
100,000 selected according to convenience to avoid
fractions
Rate is used to estimate probability or risk of occurrence of a
disease or to assess the accessibility or coverage of
healthcare system.
Example
Crude death rate= Number of deaths in one year X1000
Mid – year Population
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12. Ratio
The value obtained by dividing one
quantity by another- X/Y.
Male to female ratio.
A ratio often compares two rates,
death rates for women and men at a
given age.
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13. Ratio-
Ratio also expresses relation of size
between the two quantities.
Numerator is not part of Denominator.
Expressed as X / Y.
Doctor : Population ratio.
Male : Female ratio.
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14. 14
2. Ratio:
Relationship b/w 2 numbers expressed as
x:y or x/y e.g ratio of males to females 2:3.
The numerator is not a component of the
denominator.
E.g. Ratio of WBCs to RBCs is 1:600 or 1/600
Other examples include: doctor-population
ratio, child-woman ratio, etc.
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15. Proportion -
A part/share or number considered in
comparative relation to a whole.
"the proportion of greenhouse gases
in the atmosphere is rising”
Usually expressed as a percentage
%
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16. Proportion-
This is also relation /magnitude between two
quantities, And numerator is always part of
denominator.
And expressed as percentage
-Proportion of female students .
-Proportion of anemic mothers
(60% mothers are anemic)
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17. 1. Proportion:
Specific type of ratio in which numerator is
included in the denominator and the resultant
value is expressed as %age. E.g 1: If there are
1000 boys and 800 girls in a school, the
proportion of boys:
Boys / Boys+ Girls= 1000 x 100 = 55%
1000+800
E.g 2: From 7,999 females aged 16 – 45 y, 2,496
use modern contraceptive methods.
The proportion of those who use modern
contraceptive methods = 2,496 / 7,999 x 100 =
31.2%
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20. Prevalence vs. Incidence
Prevalence:- how many people in a
population currently have the
disease (Photograph)
Incidence:- how many people are
diagnosed each year (Film)
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24. Figure 7.7
Incident cases
Prevalent cases
Recoveries
Emigrant cases,
unmeasured cases
occurring abroad,
and deaths
Recoveries
Population reservoir Immigration
Births
Emigrant and non-
measured cases,
deaths
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25. INCIDENCE RATE
Like prevalence, divided into
two types:
1. Cumulative incidence rate
2. Incidence density
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26. Number of new cases of disease
occurring over a specified period
of time in a population at risk at the
beginning of the interval.
1. Cumulative incidence rate:
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27. EXAMPLE OF CUMULATIVE
INCIDENCE RATE
If we count all new cases of influenza
occurring in MSU undergraduates
from September 1, 1997 - August 31,
1998, and we take as the
denominator all undergraduates
enrolled in September 1, 1997, we
would be describing the cumulative
incidence rate of influenza.
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28. Number of new cases of disease
occurring over a specified period
of time in a population at risk
throughout the interval.
2. Incidence density:
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29. The numerator does not differ between the two types of
incidence
However, the denominator can differ in incidence density
from cumulative incidence because it takes account of
(in the example):
•Students who left school during the year
•Students who died
•Students who had influenza once and will not
have it again the same season
•Students who entered school later in the year
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30. Incidence density requires us to add up
the period of time each individual was
present in the population, and was at risk
of becoming a new case of disease.
Incidence density characteristically uses
as the denominator person-years at risk.
(Time period can be person-months,
days, or even hours, depending on the
disease process being studied.)
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31. Types of prevalence-
• Prevalence at any given
point of time.
• 4% TB cases on 1st April
Point
prevalence
• Prevalence at a
given period of time.
• Period will be 1year.
Period
prevalence
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32. Proportion of individuals in a
specified population at risk who
have the disease of interest at a
given point in time.
POINT PREVALENCE RATE
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33. Proportion of individuals in a specified
population at risk who have the
disease of interest over a specified
period of time.
For example:
annual prevalence rate
lifetime prevalence rate.
(When the type of prevalence rate is not specified
it is usually point prevalence, or its closest
practical approximation)
PERIOD PREVALENCE RATE
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34. Prevalence increased by-
Longer duration of the disease.
Prolongation of life, with treatment.
If incidence increases.
Immigration of new cases.
Better reporting of cases.
Emigration of healthy people.
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36. Prevalence decreased by-
Shorter duration of diseases.
Improved cure rate.
Incidence decreases.
Emigration of new cases.
Under reporting of cases.
Immigration of healthy people.
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37. Prevalence decreased by-
Improved cure rate.
Short duration of
disease.
Incidence decreases
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38. USES OF INCIDENCE AND PREVALENCE
1. Incidence is generally used for acutely
acquired diseases, prevalence is used for
more permanent states, conditions or
attributes of ill-health.
2. Incidence is more important when thinking
of etiology of the disorder, prevalence when
thinking of societal burden of the disorder
including the costs and resources
consumed as a result of the disorder.
3. Incidence always requires a duration,
prevalence may or may not.
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39. 4. In incidence, the unit of analysis is the
event, in prevalence, it is the person.
Thus incidence may exceed 100% (e.g.
annual incidence of colds) unless a
convention is adopted to count only first
episodes of an illness that can occur
more than once.
5. Prevalence can never exceed 100%.
6. Incidence generally requires an initial
disease-free interval before counting
starts, because incidence is measured
only in those at-risk of disease.
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40. USES OF INCIDENCE DENSITY AND
CUMULATIVE INCIDENCE
Incidence density gives the best
estimate of the true risk of acquiring
disease at any moment in time.
Cumulative incidence gives the
best estimate of how many people
will eventually get the disease in an
enumerated population.
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41. RELATIONSHIP BETWEEN INCIDENCE
AND PREVALENCE
In a STEADY STATE (i.e. if
incidence is not changing, and the
population is stable)
Prevalence rate = incidence rate
times the duration of disease
(P = I x D)
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43. Mortality indicators
Crude Death Rate.
Specific death rate.
Case fatality rate.
Proportional mortality rate.
Survival rate.
Standardized death rate.
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44. Crude Death Rate-
Number of deaths from all causes, per 1000
estimated mid year population in one year in a
given place.
No deaths during one year
CDR = _________________________ X 1000
Mid year population
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45. Specific death rate-
Cause Specific death rate like
disease death rate, Road accident…
Age specific-IMR, Child Mortality rate
Sex specific death rate – MMR/female
Period specific death rate–Death in May
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46. Case fatality rate-
Percentage of particular cases dying during
particular disease epidemic.
Killing power of disease particularly acute diseases
No of deaths due to cholera
CFR= ----------------------- X 100
Total No of cholera cases
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47. Proportional mortality rate-
Proportion or % of deaths due to
particular cause out of total deaths.
It measures the disease burden.
Under 5, No of deaths below 5
years
proportional = -------------------- X 100
mortality rate Total No all of deaths
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48. Survival Rate-
Percentage of the treated patients remaining
alive at the end of 5 years treatment.
Yard stick for assessing the standard of therapy
in cancer.
Survival pts alive at the end of 5 yrs
Rate = ---------------------- X 100
Total No of pts treated
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49. Standardized Death Rate.
(Adjusted Death Rate)
CDR can not be useful for comparison.
Death rate need to be standardized for
comparisons.
Standardization can be done by-
:adjusting death rate age wise,
:also can be done sex/race wise
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50. Important Rates
Incidence Rates
Prevalence Rates
Important Ratios
Odds Ratio
Relative Risk
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51. Incidence Rates
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Number new cases of disease during a
specified period of time
Total population at risk at the beginning of
that specified period
Incidence = x 10n
Assumptions
1. The observation on study population started at the same time
2. Single common end point (time) of observations
3. The population at risk will remain unchanged during the study period
52. What do you understand by
population at risk?
What is population at risk for cervical
carcinoma?
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53. Population at risk in study of
carcinoma of cervix
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All men
All
Women
0-25
25-60
70 +
25-60 years
Total
Population
All Women age groups Population
at Risk
54. Concept of Numerator and
Denominator
Numerator
“Number of events or disease cases are the
numerators
Denominator
“The population under study or population at risk is
the denominator
Include all persons affected and unaffected
Person-time observation
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55. Brain Storming
How will you estimate the incidence if?
It is not possible to start of observation
on large population at the same time
It may not be possible to end the
observation at the same time
The population at risk may not remain the
uniform over period of observation
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56. Concept of Person Time
Person years
Person days
Person time = People at risk x duration of observation
Examples
12 patient observed for 1 year = How many person Years?
6 patient observed for 2 years = How many person years?
3 patient observed for 4 years = How many person Years?
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57. Incidence rate (“incidence density”)
Number of new cases
–––––––––––––––––––––––––––––––
Avg population at risk × Time interval
Number of new cases
= ––––––––––––––––––––
Population-time
58. Incidence Density (I.D)
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Number new cases of a disease during a
specified period of time
Total person time of the observation
Incidence
Density =
X 10n
59. Subj Jan
2001
July
2001
Jan
2002
July
2002
Jan
2003
July
2003
Jan
2004
July
2004
Time
at risk
Per-
time
A 2/20 1.5 30
B 0/10 2.0 20
C 5/40 3.0 120
D 3/10 4.0 40
E 3/10 2.0 20
F 2/35 2.0 70
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Estimation of Incidence density
(Chronic hypertensive pt followed for nephropathy)
Number of events = 15
Person time = 300
Incidence density = X 1000 = 50 Person-years
Period of observation from Jan 2001 to 2004
60. Prevalence
(Point prevalence)
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Number of people with disease or having
vital event at a given point in time
Total number of persons at risk in that
point in time
Point Prevalence
=
x 10n
61. Prevalence Rate
(Period Prevalence)
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Number of people with disease or having
vital event at a specified time period
Total population at risk in the middle
of the time internal
Prevalence Rate
= x 10n
62. Concept of Incidence, point prevalence
and period prevalence
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62
Jan
2009
31 Dec
2009
Case 1
Case 2
Case 3
Case 4
Case 5
Case 6
Case 7
Case 8
The cases for incidence rate during year 2009?
The case for point prevalence on 1st Jan?
The cases for point prevalence at 31st Dec?
The cases for period prevalence?
63. Incidence and Prevalence
P varies as Product of I & D
(I = incidence and D = duration of illness)
Severity of the illness
The duration of the illness
The number of new cases
Availability / non-availability of treatment
Effectiveness of Treatment
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64. Objectives of Analysis
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• Distribution by place person
and time
• Observing the differences and
developing hypothesis
Descriptive
Analysis
• Comparison of exposures/risk
factors in groups
• Comparison of
outcome/disease in groups
Analytical
analysis
65. Analysis
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• Comparison of exposure rates
• Odds Ratio (OR) for
association
Case control
study
• Comparison of Incidence rates
• Relative Risk (RR) for
association
Cohort
study
66. 2 x 2 Table for Analytic studies
Disease Status
Exposure
Status
Cases Control Total
Exp. Yes a b a + b
Total Exp
Exp. No c d c + d
Total non-Esp
Total a + c
Total Dis.
b + d
Total non-Dis.
a + b+ c+ d
Grand total
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67. Case Control Study estimates
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• Exposure rate
among the cases
How much
exposure among
diseased?
• Exposure rate
among the controls
How much
exposure among
control?
• Odds Ratio
What is the Risk
Ratio?
68. Case Control Study design
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Non-diseased
Exposure Present
Exposure absent
Diseased
Exposure Present
Exposure absent
Compare
Case control study proceed from effect to the cause
Select
Trace back
69. 2 x 2 Table
Case Control Analysis
Disease Status
Exposure
Status
Cases Control Total
Exp. Yes a b a + b
Total Exp
Exp. No c d c + d
Total non-Esp
Total a + c
Total Dis.
b + d
Total non-Dis.
a + b+ c+ d
Grand total
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70. Relative Risk in
Case-Control Studies
Can’t derive incidence from case-control
studies
Begin with diseased people (cases) and
non-diseased people (controls)
Therefore, can’t calculate relative risk
directly
But, we can use another method called
an odds ratio
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Derivation of Odds
Cases Controls
Exposed a b
Not exposed c d
Total a + c b + d
Odds of exposure among cases =
Probability to be exposed among cases
Probability to be unexposed among cases
a / (a+c)
Odds E cases = ------------ = a / c
c / (a+c)
Odds of exposure among controls =
Probability to be exposed among controls
Probability to be unexposed among controls
b/ (b+d)
Odds E controls = ------------ = b / d
d/ (b+d)
a/c
OR = ---- = ad / bc
b/d
75. When is the Odds Ratio a Good
Estimate of Relative Risk?
When cases are representative of
diseased population
When controls are representative of
population without disease
When the disease being studied occurs
at low frequency
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76. REMEMBER !!!
An odds ratio is a useful measure of
association
In a cohort study, the relative risk can
be calculated directly
In a case-control study the relative risk
cannot be calculated directly, so an
odds ratio is used instead
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77. Cohort Study estimates
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• Incidence among the
exposed
How much disease
in exposed?
• Incidence among the
controls
How much disease
in non exposed?
• Relative Risk or Risk Ratio
What is the Risk
Ratio?
• Attributable Risk (Extra risk
due to exposure)
What is the risk
difference
78. 2 x 2 Table
Cohort Study Analysis
Disease Status
Exposure
Status
Cases
(Diseased)
Control
(Non disease)
Total
Exp. Yes a b a + b
Total Exp
Exp. No c d c + d
Total non-Esp
Total a + c
Total Dis.
b + d
Total non-Dis.
a + b+ c+ d
Grand total
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79. RR from 2x2 Table
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a
a + b
Incidence among exposed =
c
c + d
Incidence among non-exposed =
a /a + b
c /c + d
Relative Risk (RR) =
83. Relative Risk in
Case-Control Studies
Can’t derive incidence from case-control
studies
Begin with diseased people (cases) and
non-diseased people (controls)
Therefore, can’t calculate relative risk
directly
But, we can use another method called
an odds ratio
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87. OR, expressed as a proportion:
Attributable Risk for an
Exposed Group (cont.)
From previous relative risk example:
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88. Calculation for Proportional
Incidence in Total Population
First calculate A-R for
group from
Formulas 11.1 & 11.2
(previous slide),
then use Formula 11.3
For proportion of the
incidence in the
total population, use
Formula 11.4
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90. Summary
Relative risk and odds ratio are important as
measures of the strength of association
Important for deriving causal inference
Attributable risk is a measure of how much disease
risk is attributed to a certain exposure
Useful in determining how much disease can be
prevented
Therefore:
Relative risk is valuable in etiologic studies of
disease
Attributable risk is useful for Public Health
guidelines and planning
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