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introduction to applied epidemiology
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04/19/2023 2
Objectives
By the end of the lesson, the learner should be able to:Define epidemiologyTerminologiesSummarize the historical evolution of epidemiology (Hand out)Describe the elements of a case definition and state the effect of changing the value of any of the elementsUses of Epidemiology
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The word epidemiology comes from the Greek words epi, meaning “on or upon,” demos, meaning “people,” and logos, meaning “the study of.” Many definitions have been proposed, but the following definition captures the underlying principles and the public health spirit of epidemiology:
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“Epidemiology is the study of the
distribution and determinants of
health-related states or events in
specified populations, and the
application of this study to the
control of health problems.”
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Terminologies
Study. Epidemiology is a scientific discipline, sometimes
called “the basic science of public health.” It has, at its
foundation, sound methods of scientific inquiry.
Distribution. Epidemiology is concerned with the
frequency and pattern
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Distribution. Epidemiology is concerned with the
frequency and pattern of health events in a population.
Frequency includes not only the number of such events in a
population, but also the rate or risk of disease in the
population. The rate (number of events divided by size of
the population) is critical to epidemiologists because it
allows valid comparisons across different populations.
Pattern refers to the occurrence of health-related events by
time, place, and personal characteristics.
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Time characteristics include annual occurrence, seasonal
occurrence, and daily or even hourly occurrence during
an epidemic.
Place characteristics include geographic variation,
urban-rural differences, and location of worksites or
schools.
Personal characteristics include demographic factors
such as age, race, sex, marital status, and socioeconomic
status, as well as behaviors and environmental exposures
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This characterization of the distribution of health-
related states or events is one broad aspect of
epidemiology called descriptive epidemiology.
Descriptive epidemiology provides the What, Who,
When, and Where of health-related events.
Determinants. Epidemiology is also used to search
for causes and other factors that influence the
occurrence of health-related events. Analytic
epidemiology attempts to provide the
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Why and How of such events by
comparing groups with different rates of
disease occurrence and with differences
in demographic characteristics, genetic or
immunologic make-up, behaviors,
environmental exposures, and other so-
called potential risk factors.
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Under ideal circumstances, epidemiologic
findings provide sufficient evidence to direct
swift and effective public health control and
prevention measures
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Health-related states or events.
Originally, epidemiology was concerned
with epidemics of communicable diseases.
Then epidemiology was extended to
endemic communicable diseases and non-
communicable infectious diseases.
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More recently, epidemiologic methods
have been applied to chronic diseases,
injuries, birth defects, maternal-child
health, occupational health, and
environmental health
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Now, even behaviours related to health
and well-being (amount of exercise, seat-
belt use, etc.) are recognized as valid
subjects for applying epidemiologic
methods.
“disease”. Refer to the range of health-
related states or events.
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Specified populations. Although epidemiologists
and physicians in clinical practice are both
concerned with disease and the control of disease,
they differ greatly in how they view “the patient.”
Clinicians are concerned with the health of an
individual; epidemiologists are concerned with
the collective health of the people in a
community or other area.
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When faced with a patient with diarrheal
disease, for example, the clinician and the
epidemiologist have different responsibilities.
Although both are interested in establishing
the correct diagnosis, the clinician usually
focuses on treating and caring for the
individual.
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The epidemiologist focuses on the exposure
(action or source that caused the illness), the
number of other persons who may have been
similarly exposed, the potential for further
spread in the community, and interventions to
prevent additional cases or recurrences.
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Application. Epidemiology is more than “the study
of.” As a discipline within public health,
epidemiology provides data for directing public
health action. However, using epidemiologic data is
an art as well as a science. Consider again the
medical model used above: To treat a patient, a
clinician must call upon experience and creativity
as well as scientific knowledge.
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Similarly, an epidemiologist uses the
scientific methods of descriptive and
analytic epidemiology in “diagnosing”
the health of a community, but also must
call upon experience and creativity
when planning how to control and
prevent disease in the community.
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Other definitions of terms Data-Raw facts and figures Information-analyzed and interpreted
data Health information systems- organized
set of activities and programs whose purpose is to gather, maintain, and provide health related information to improve individual or population health
Vital statistics- combination of vital and health statistical data-mortality, morbidity, life expectancy, births, marriages, divorces, census
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Rates- amount or number of one thing measured in units of another
- Measure of an event/condition with a unit of population and within a time period
- No of cases/population of area in time x 1,000 Crude rates- Number of events that happen in
population in certain period of time Define the following terms: Infant mortality rates Neonatal mortality rates Postneonatal mortality rates Maternal mortality rates Perinatal mortality rates
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Data sourcesRegistration systems
Vital-event registrationDisease notificationsSentinel notifications
StudiesSurveysRegistriesEpidemic investigationsPopulation & house censusresearch
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OtherAdministrativeProgram evaluationPublic health surveillanceExit interviews & FGDOther data banks
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Uses of Epidemiology Monitoring the health of a community,
region, or nation Surveillance, accident reports Identifying risks in terms of probability
statements Studying trends over time to make
predictions for the future Smoking and lung cancer Estimating health services needs
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The Epidemiologic Triad:Agent, Host, and EnvironmentThe epidemiologic triangle or triad is the traditional model of infectious disease causation. It has three components: an external agent, a susceptible host, and an environment that brings the host and agent together. In this model, the environment influences the agent, the host, and the route of transmission of the agent from a source to the host.
04/19/2023 27
Agent factors Agent originally referred to an infectious micro-organism
—virus, bacterium, parasite, or other microbe. Agents must be present for a disease to occur i.e they
are necessary but not always sufficient to cause disease.
As epidemiology has been applied to non-infectious conditions, the concept of agent in this model has been broadened to include chemical and physical causes of disease. These include chemical contaminants, such as the l-tryptophan contaminant responsible for eosinophilia myalgia syndrome, and physical forces, such as repetitive mechanical forces associated with carpal tunnel syndrome. NB: it is not always clear whether a particular factor should be classified as an agent or as an environmental factor.
04/19/2023 28
Host factors
Host factors are intrinsic factors that influence an individual’s
exposure, susceptibility, or response to a causative agent.
Age, race, sex, socioeconomic status, and behaviours
(smoking, drug abuse, lifestyle, sexual practices and
contraception, eating habits) are just some of the many host
factors which affect a person’s likelihood of exposure.
Age, genetic composition, nutritional and immunologic
status, anatomic structure, presence of disease or medications,
and psychological makeup are some of the host factors which
affect a person’s susceptibility and response to an agent.
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Environmental factorsEnvironmental factors are extrinsic factors which affect the agent and the opportunity for exposure.
Generally, environmental factors include physical factors such as geology, climate, and physical surroundings (e.g., a nursing home, hospital); biologic factors such as insects that transmit the agent; and socioeconomic factors such as crowding, sanitation, and the availability of health services.
Agent, host, and environmental factors interrelate in a variety of complex ways to produce disease in humans. Their balance and interactions are different for different diseases.
MEASURING EPIDEMIOLOGICAL OUTCOMES
04/19/2023By Nesidai 32
A proportion with the specification of time(e.g. deaths in 2000 / population in 2000)
Rate
A ratio where the numerator is included in the denominator (e.g. males / total births)
Proportion
Relationship between any two numbers(e.g. males / females or x/y) The numerator is not included in the denominator
Ratio
OUTCOME MEASURES Compare the incidence of disease among people
who have some characteristic with those who do
not
The ratio of the incidence rate in one group to that
in another is called a rate ratio or relative risk (RR)
The difference in incidence rates between the
groups is called a risk difference or attributable
risk (AR)
04/19/2023By Nesidai 33
CALCULATING OUTCOME MEASURES
04/19/2023 By Nesidai 34
Outcome
D
B
No Disease(controls)
IN = C / (C+D)CNot Exposed
IE = A / (A+B)AExposed
Incidence
Disease(cases)
Exposure
Relative Risk = IE / IN
Attributable Risk = IE - IN
04/19/2023 By Nesidai 35
1,1001,000100
730
370
Total
Lung Cancer
700
300
No
30/730 = 41 per 100030Non-smoker
70/370 = 189 per 100070Smoker
IncidenceYesExposure
Relative Risk = IE / IN = 189 / 41 = 4.61
Attributable Risk = IE - IN = 189 - 41 = 148 per 1000
Smokers are 4.61 times more likely than nonsmokers to develop lung cancer
148 per 1000 smokers developed lung cancer because they smoked
04/19/2023By Nesidai 36
Relative Risk = IE / IN = 189 / 41 = 4.61
Attributable Risk = IE - IN = 189 - 41 = 148 per 1000
RR < 1 RR = 1 RR > 1
Risk comparison between exposed and unexposed
Risk for disease is lower in the
exposed than in the unexposed
Risk of disease are equal for exposed and unexposed
Risk for disease is higher in the exposed than in the unexposed
Exposure as a risk factor for the disease?
Exposure reduces disease
risk(Protective
factor)
Particular exposure is not a
risk factor
Exposure increases
disease risk(Risk factor)
04/19/2023 By Nesidai 37
ANNUAL DEATH RATES FOR LUNG CANCER AND CORONARY HEART DISEASE (CHD) BY SMOKING STATUS, MALES
04/19/2023By Nesidai 38
1000 – 500 = 500 per 100,000
127.2 – 12.8 = 114.4 per 100,000
AR
1000 / 500 = 2127.2 / 12.8 = 9.9RR
50012.8Non-smoker
1,000127.2Smoker
Coronary Heart DiseaseLung CancerExposure
Annual Death Rate / 100,000
SUMMARY
The risk associated with smoking is lower for CHD (RR=2) than for lung cancer (RR=9.9)
Attributable risk for CHD (AR=500) is much higher than for lung cancer (AR=114.4)
In conclusion: CHD is much more common (higher incidence) in the population, thus the actual number of lives saved (or death averted) would be greater for CHD than for lung cancer
04/19/2023By Nesidai 39
ODDS RATIO
a b a+b
c d c+d
a+c b+d a+b+c+d
Exposure
Odds of exposure having disease
Disease Odds of disease having exposure
ODDS RATIO
-The ODDS of getting disease in exposed = a
b- The ODDS of getting disease in unexposed = c
dODDS RATIO = (a/b)/(c/d) = axd cxb
(Cross-products Ratio)
Microbial adaption; e.g. Natural
genetic variations, recombinations
and adaptations e.g Influenza A
Changing human susceptibility;
e.g. mass immunocompromisation
with HIV/AIDS
Climate and weather; e.g.
diseases with Zoonotic vectors
such as West line Disease
(transmitted by mosquitoes) are
moving further from the tropics as
the climate warms
Economic development; e.g. use of
antibiotics to increase meat yield of
farmed cows leads to antibiotic
resistance
Breakdown of public health
Poverty and social inequality; e.g. TB
is primarily a problem in low-income
areas
Change in human demographics and
trade; e.g. rapid travel enabled SARS to
rapidly propagate around the globe
War and farmine
Bioterorism; e.g. 2001 Anthrax attacks
Dam and irrigation system
construction; e.g. malaria and other
mosquito borne diseases
Increasing trade in exotic animals for pets
and as food sources. eg, recent U.S.
outbreak of monkeypox, and use of exotic
civet cats for meat in China was found to
be the route by which the SARS
coronavirus made the transition from
animal to human hosts.
Increased and imprudent use of drugs
and pesticides has led to the devpt of
resistant pathogens, allowing many
diseases that were formerly treatable
to make a comeback (e.g. TB, malaria,
nosocomial, and food-borne infections)
Decreased compliance with
vaccination policy has also led
to re-emergence of diseases e.g.
measles and pertussis
Moreover, many important infectious
diseases have never been adequately
controlled on either the national or
international level. Infectious diseases
that have posed ongoing health
problems in developing countries are re-
emerging in the United States (e.g.,
food- and waterborne infections, dengue,
West Nile virus).
These mainly refer to morbidity and mortality measures.
MORBIDITY:
- Describes frequency of illness within populations.
- Commonly used measures:
Incidence and Prevalence rates.
Note the most important tool for measures of disease is
the RATE. The RATIO and PROPORTION are also often
used.
RATIO:
Is the Relationship between any two numbers
(e.g. males / females) It’s the Simplest of the expressions.
Expresses a relationship in form of X : Y or X/Y
e.g. M:F. Males and Females are exclusive. What is in M is not included in F. (M/F)
PROPORTION:
Its a ratio where the numerator is included in the denominator (e.g. males / total births)
Usually expressed as % e.g. Proportion of all births that are male= Male births
Male + Female births
RATE:A proportion with the specification of time(e.g. deaths in 2000 / population in 2000)Rate important for disease measurement
because it gives probability or risk of disease in a defined population in a specified period of time.
Rate:= No of events in given time in a given
population X k Pop. at risk of event in same time in same pop.
INCIDENCE: Incidence is the rate of new cases of a disease or
condition in a population at risk during a time period
Deals with new cases of disease or event during specified period of time.
It measures probability that healthy people will develop disease in specified time period.
Population is disease free at the beginning of observation period.
Incidence is a rate Calculated for a given time period (time interval) Reflects risk of disease or condition
INCIDENCE DEFINITION: Incidence (per 1000)
= No. of new cases in given time period X kPop. at risk of disease in same time
Choice of 1,000 (k) in the rate is arbitraryIncidence is a rateCalculated for a given time period (time interval)Reflects risk of disease or condition
Numerator = only events or disease cases developed within specified time period.
Denominator = All at risk in specified time.
Those included must have potential of developing disease e.g. Cancer Cervix
INCIDENCE DEFINITION CONT…: However, most diseases have low
frequency and in most cases we deal with large pop. Difference in excluding/including the immunized is of little statistical significance.
If precision is required or condition is common, then denominator includes only those at risk e.g. measles vaccine trials. At risk, those who have not had measles.
TYPES OF INCIDENCE. Attack Rate is another type of incidence (So
is 20 attack rate.) Attack Rate is incidence of disease when pop.
at risk is exposed for short time e.g. Epidemics (Food poisoning).
20 Attack Rate - Measures No. of cases of disease developing during stated time among those in a closed group who are susceptible.
It measures infectivity of disease.= No of new cases in grp minus No of
initial casesNo of susceptible in grp minus initial cases
CUMULATIVE INCIDENCE AND INCIDENCE DENSITY Sometimes period time over which persons
are observed may vary due to deaths, varying joining time in study.
Person - time denominators are then used. Here each case contributes unequal time to
study. All must be included. The person time unit is thus created.
There are 2 types of incidence measures:- Cumulative Incidence (CI)- Incidence Density (ID).
CUMULATIVE INCIDENCE AND INCIDENCE DENSITY
Cumulative Incidence: = No of new cases of disease in given period of
time X 1,000 Total pop. At risk during same time
It estimates probability or risk that one will be sick in given period of time.
Incidence Density:= No of new cases in given period of time
Total person - time of observation
INCIDENCE DENSITY
Person-time is valid when:- Risk of death or disease is constant through out study.- Disease or death rates are the same all
through i.e. for those still in study and those lost to follow up.
SUMMARY INCIDENCE : It measures rapidity with which disease develops in pop.
It is a more useful measure of risk cause it has measure of time. It is thus a true rate.
It is direct indicator of risk of disease. It indicates pop. free of disease at stat. of
observation time developing disease during observation.
INCIDENCE CONT…: Incidence is used in aetiologic studies of both chronic and
acute forms (e.g. Snow & cholera)
Increasing incidence rates provide clues on disease aetiology especially if one can determine the exposures that occured before onset of disease.
Decreasing incidence rates may be due to results of disease control or prevention programme, or may be due to changes in host or agent characteristics (resistance / immunity).
Increasing incidence rates might suggest:- Need for new control or prevention programme.- That reporting practices improved.- That diagnostic procedure are more sensitive- Or ALL.
INCIDENCE CONT…:
To determine incidence, must be able to classify subjects into diseased or not diseased.
Screening method is therefore necessary
PREVALENCE:Prevalence is the proportion of the population
affectedAbout existing disease cases in pop. at point in
time or specified period of time.Prevalence is a proportion Point Prevalence: at a particular instant in timePeriod Prevalence: during a particular interval of
time (existing cases + new cases)Measures those already with disease i.e. gives the
probability that person has disease at a given time.Cases included are both old and new.Prevalence depends on:
- Rate of Cure- Recovery- Death
Prevalence is a proportion
Point Prevalence: at a particular instant in time
Period Prevalence: during a particular interval of time (existing cases + new cases)
Prevalence= Number of existing cases
Total number in the population at risk
PREVALENCE CONT…:
Prevalence thus reflects the incidence and duration of disease.
In a stable pop. : - Prevalence = Incidence X Average duration of disease
Prevalence describes amount of disease in pop. at point in time or period interval in time.
It does not measure rate of development of disease.
It is more correctly a ratio or proportion.
INCIDENCE AND PREVALENCE :
Incidence adds cases to prevalence: When incidence increrases, shows Risk. When prev. decreases, it shows cure or death. Prevalence may increases when cases not
dying but disease controlled e.g. insulin and diabetes.
When prevalence is increasing, difficult to convince that programme is working.
Disease may be controlled, but cure not achieved.
Health resource requirements & planning is determined by this.
PREVALENCE CONT… If type of prevalence is not mentioned, then regard it as
point prevalence.
In prevalence, onset of disease does not need to be known while in incidence it is necessary.Period prevalence is preferred than point prevalence or incidence because of establishing date on which disease started e.g. mental illnesses.
Prevalence is useful in:- Chronic diseases- Expressing burden of disease in pop.- Monitoring Control Programmes cause it reflects on duration and Incidence.- High prevalence does not necessary signify raised risk. It may mean longer survival of cases.
INCIDENCE AND PREVALENCE ILLUSTRATION:
1995 - Incidence= b + d
Point prevalence = (depends on which month count is made.- January = a + c + e- May = A + b + c + e- July - B + c + d + e- September = b + d + e- December = d + e
Period prevalence (1995) = a + b + c + d + e
PROBLEMS WITH INCIDENCE AND PREVALENCE MEASURES:
Defining who has disease (Numerator) Prevalence can be affected by diagnostic criteria used. Finding cases for inclusion:
- By interview- By data collected regularly (E.g. Hospital - Problems)
Hospital admissions selective on:- Personal characteristics- Severity of disease- Admission policies.
Comparability of cases (e.g. primigravidae in KNH, others).
Hospital rates have no denominator, i.e no catchment pop.
Denominator must be described well. In ca. Cervix denominator must exclude
RATES: CRUDE SPECIFIC ADJUSTED
CRUDE RATES:These don’t take into consideration certain crucial factors that impact on the rate. E.g. Age, sex, place.
Specific Rates:These take into consideration these factors.
ADJUSTED RATES:
Undergo statistical transformation to permit fair comparison between grps which differ in some characteristic that may affect risk of disease.
Transformation is carried out on crude rates to remove the effect of differences in composition of the various pops.
ADJUSTED RATES:
Adjustment is done cause pop. compositions in two different periods may differ.
One may have older people which affects mortality.
Adjustment removes the influence of age on rates being compared.
Exercises Handout
TABLE 1:COMPARABILITY OF 2 POPULATIONS WITH SAME AGE STRATA
Population as of July, Population as of July,1st, 1940 1st, 1980
Age grp(Yrs). (1) (2) _______________________________________________________________________
< 5 10,541 16, 348,0005-9 10,685 16, 700,00010 – 14 11,746 18, 242,00015 – 19 12,334 21, 168,00020 – 24 11,588 21, 319,00025 – 29 11,097 19, 521,00030 – 34 10,242 17, 561,00035 – 39 9,545 13, 965,00040 – 44 8,788 11, 669,00045 – 49 8,255 11, 090,00050 – 54 7,257 11, 710,00055 – 59 5,844 11, 615,00060 – 64 4,728 10, 088,00065 – 74 6,377 15, 581,00075+ 2,643 9, 969,000
Total 131,670 226,546,000
TABLE 2:COMPARISON OF 2 POPULATIONS FOR SPECIFIC AND CRUDE CANCER MORTALITY RATES:
Cancer Mortality Rates per 100,000_________________________________________
(Yrs). (1940) (1980) _______________________________________________________________________
< 5 4.7 4.25-9 3.0 4.710 – 14 2.9 3.915 – 19 4.0 5.420 – 24 6.8 7.225 – 29 11.6 10.530 – 34 23.5 17.335 – 39 43.4 33.540 – 44 80.3 66.945 – 49 133.4 128.350 – 54 209.0 228.955 – 59 309.9 358.260 – 64 443.3 25.865 – 74 695.1 817.975+ 1183.5 1313.7
Total 120.2 183.8
ADJUSTED RATES E.g. Crude mortality rate from cancer in USA in 1940 was 120.2
per 100,000 and in 1980, rate was 183.8 per 100,000.
When compare the 2 rates it suggests that, the rate is increased alarmingly by 53% (This is an epidemic).
(183.8 – 120.2 = 63.2 X 100 ) 120.2
Problem of comparing the 2 directly is that;In 1980, 11% of the population was 65 years or older while in 1940, this proportion was 6.9%. (i.e. the population in 1980 is older
Mortality rates from most cancers increase dramatically with age.
The higher crude cancer mortality rates are attributed in part, at least, to ageing of the population.
ADJUSTED RATES CONT….:
Thus any crude rate is a- Weighted average of individual age category
specific rates- Weight here is the proportion in the pop. that each
age category contributes to total rate.- Thus if < 5 yrs are 1,000,000 then more deaths will
be recorded than if the total pop. is 100,000.- Thus if 2 pops have the same stratum specific rates,
the 2 will differ in crude rates if proportion (number) of pops within each of the various categories are different.
ADJUSTED RATES CONT…:
2 ways of accounting for different distributions of a characteristic between populations being compared is
- Either present and compare only the category specific ratese.g. 1940 – 1980, though crude rates increased by 53% most age specific rates increased only slightly,
- In fact for < 5 years and those between 25 and 49 years, mortality rates actually decreased
Comparing specific rates is thus more accurate than the crude rates.
ADJUSTED RATES CONT…:
However one requires large numbers, each age group has to be scrutinized and compared with another.
It becomes easier to have a summary rate to compare with another.
Summary takes into account any differences in the structure of a population.
The procedure used to do this is called Adjustment or Standardization.
ADJUSTED RATES CONT..:
Adjusted rates are also standardized rates. Age is variable for which most adjustment or
standardization is required.2 ways of removing effect of differences in pop is (Standardization):- Direct method - Indirect method
DIRECT METHOD CONT..: Select standard Pop. The standard pop. is arbitrarily selected. Identify two grps being compared. Then apply age specific mortality rates of each
grp to the pop. in same age grp of the standard pop.
This gives number of deaths that can be expected if these age specific rates prevailed on the standard pop.
TABLE 3
CALCULATION OF CRUDE AND AGE SPECIFIC MORTALITY RATES FROM CANCER (1980)
Age Number of Population as Mortality rate perGroup (Years) Cancer Deaths of July 1, 1980 100,000 (1) (2) (3)____________________________________________________________________< 5 686 16,348,000 5 - 9 777 16,700,000 10 - 14 720 18,242,000 15 - 19 1145 21,168,000 20 - 24 1538 21,319,000 25 - 29 2041 19,521,000 30 - 34 3040 17,561,000 35 - 39 4684 13,965,000 40 - 44 7786 11,669,00045 - 49 14,230 11,090,00050 - 54 26,800 11,710,000 55 - 59 41,600 11,615,000 60 - 64 53,045 10,088,00065 - 74 127,430 15,581,00075 + 130,959 9,969,000Total 416,481 226,546,000
(3) = (1) / (2)
TABLE 4CALCULATION OF THE CRUDE CANCER MORTALITY RATE AS A WEIGHTED AVERAGE OF AGE SPECIFIC RATES (1980)
Age Mortality rate per Population as Number ofGroup 100,000 of July 1, 1980 Cancer Deaths(Years) (1) (2) _____________________________________________________________________________< 5 4.2 (a) 16,348,000 (i) 5 - 9 4.7 (b) 16,700,000 (ii) 10 - 14 3.9 (c) 18,242,000 (iii) 15 - 19 5.4 (d) 21,168,000 (iv) 20 - 24 7.2 (e) 21,319,000 (v) 25 - 29 10.5 (f) 19,521,000 (vi) 30 - 34 17.3 (g) 17,561,000 (vii) 35 - 39 33.5 (h) 13,965,000 (viii) 40 - 44 66.7 (i) 11,669,000 (ix)45 - 49 128.3 (j) 11,090,000 (x)50 - 54 228.9 (k) 11,710,000 (xi) 55 - 59 358.2 (l) 11,615,000 (xii) 60 - 64 525.8 (m) 10,088,000 (xiii)65 - 74 817.9 (n) 15,581,000 (xiv)75 + 1313.7 (p) 9,969,000 (xv)Total 226,546,000 (Z)
Crude 1980 cancer death rate = (1a) X (2i) + (1b) X (2ii) + (1c) X (2iii) .......... per 105
Z
= 183.8/105
TABLE 5CALCULATION OF THE CRUDE CANCER MORTALITY RATE AS A WEIGHTED AVERAGE OF AGE SPECIFIC RATES, WITH A DIFFERENT AGE DISTRIBUTION OF THE POPULATION. (1980)
Age Mortality rate per Population as Number ofGroup 100,000 of July 1, 1980 Cancer Deaths(Years) (1) (2) _____________________________________________________________________________< 5 4.2 (a) 16,348,000 (i) 5 - 9 4.7 (b) 16,700,000 (ii) 10 - 14 3.9 (c) 18,242,000 (iii) 15 - 19 5.4 (d) 21,168,000 (iv) 20 - 24 7.2 (e) 9,969,000 (v) 25 - 29 10.5 (f) 19,521,000 (vi) 30 - 34 17.3 (g) 17,561,000 (vii) 35 - 39 33.5 (h) 13,965,000 (viii) 40 - 44 66.7 (i) 11,669,000 (ix)45 - 49 128.3 (j) 11,090,000 (x)50 - 54 228.9 (k) 11,710,000 (xi) 55 - 59 358.2 (l) 11,615,000 (xii) 60 - 64 525.8 (m) 10,088,000 (xiii)65 - 74 817.9 (n) 15,581,000 (xiv)75 + 1313.7 (p) 21,319,000 (xv)Total 226,546,000(Z)
Crude 1980 cancer death rate = (1a) X (2i) + (1b) X (2ii) + (1c) X (2iii) .......... per 105
Z
= 249.2/105
TABLE 6.CALCULATION OF THE CRUDE CANCER MORTALITY RATE AS A WEIGHTED AVERAGE OF AGE SPECIFIC RATES (1980)
Age Mortality rate per Population Group 100,000 (1940) 1940 (in thousands)(Years) (1) (2) _____________________________________________________________________________< 5 4.7 (a) 10,541 (i) 5 - 9 3.0 (b) 10,685 (ii)10 - 14 2.9 (c) 11,746 (iii) 15 - 19 4.0 (d) 12,334 (iv) 20 - 24 6.8 (e) 11,588 (v)25 - 29 11.6 (f) 11,097(vi) 30 - 34 23.5 (g) 10,242 (vii) 35 - 39 43.4 (h) 9,545 (viii)40 - 44 80.3 (i) 8,788 (ix)45 - 49 133.4 (j) 8,255 (x)50 - 54 209.0 (k) 7,257 (xi)55 - 59 309.9 (l) 5,844 (xii)60 - 64 443.3 (m) 4,728 (xiii)65 - 74 695.1 (n) 6,377(xiv)75 + 1183.5 (p) 2,643(xv)Total 120.2 131,670
Crude 1940 cancer death rate = (1a) X (2i) + (1b) X (2ii) + (1c) X (2iii) .......... per 105
Z
= 120.2/105
TABLE 7CALCULATION OF THE AGE -ADJUSTED MORTALITY RATES FROM ALL CAUSES BY THE DIRECT METHOD.
Standard Population: Expected Number
Mortality from all Total US Enumerated Of Deaths that Would
Causes per 100,000 population Occur in Standar
Population Population Rates in
_________________ ___________________ _________________
Age 1950 1960 1940 1950 1960
Group
(Years) (1) (2) (3) (4) (5)
_____________________________________________________________________________
< 1 3,299.2 2,696.4 15,343 506.2 413.7
1- 4 139.4 109.1 64,718 90.2 70.6
5 - 14 60.1 46.6 170,355 102.4 79.4
15 - 24 128.1 106.3 181,677 232.7 193.1
25 - 34 178.7 146.4 162,066 289.6 237.6
35 - 44 358.7 299.4 139,237 499.4 416.9
45 - 54 853.9 756.0 117,811 1,006.0 890.7
55 - 64 1,901.0 1,735.1 80,294 1,526.4 1,393.2
65 – 74 4,104.3 3,822.1 48,426 1,987.5 1,850.9
75 - 84 9,331.1 8,745.2 17,303 1,614.6 1,513.2
85+ 20,196.9 19,857.5 2,770 559.5 550.4
Total death
rate all ages 963.8 954.7 ___ ___ ___
Total Pop. ___ 1,000,000 ___ ___
Total Expected
Number of Deaths ____ ____ 8,414.5 7,609.7
Age Adjusted Death
Rate per 100,000 ____ ____ 841.45 760.97
_____________________________________________________________________________
(4) = (1) X (3)
(5) = (2) X (3)
INDIRECT METHOD: (STANDARDIZED MORT. RATIO)
Select a standard Pop. whose age specific death rates are known.
Use this to calculate expected death rates in pop. being compared.
Calculate S.M.R.= Observed deaths X 100
Expected deaths
INDIRECT METHOD CONT…:
Here compare 2 pops.- One in which age specific death rates aren’t known or if known are excessively variable because of small numbers involved.- Most stable rates of larger pop. are applied to pop of smaller one.
Then calculate standardized mortality Ratio.
TABLE 6CALCULATION OF THE STANDARDIZED MORTALITY RATIO FOR OCCUPATION OF MALE FARMERS AND FARM MANAGERS FOR ALL CAUSES OF DEATH .
Standard Death Rates Expected Number
Number of Farmers Per 1,000,000 (all Of Deaths for farmers
And Farm Managers causes of Death) and farm managers
(Census 1951) Per 1,000,000
Age
Group
(Years) (1) (2) (3) = (1) X (2)
_____________________________________________________________________________
20 - 24 7,989 1,383 11
25 - 34 37,030 1,594 59
35 - 44 60,838 2,868 174
45 - 54 68,687 8,212 564
55 - 64 55,565 22,953 1,275
_____________________________________________________________________________
Total Expected Deaths per Year: 2,083 (E)
Total Observed Deaths per Year: 1,464 (O)
SMR = 1,464 X 100 = 70.3%
2,083
INDIRECT METHOD CONT…:
S.M.R.Column 1X column 2 = Column 3
= 2,083 ExpectedTotal observed is given 1,464
= Observed - 1,464 X 100 = 70.3%Expected - 2,083
PROPORTION V/S INCIDENCE
Proportion of all those with Cancer incidence in each age group
0
50
100
150
200
250
300
20 25 30 35 40 45 50 55 60 65 70 75 80 85
Age (Yrs)
An
nu
al r
ate
pe
r 1
00
,00
0
0
2
4
6
8
10
12
14
16
18
% N
o o
f c
as
es
PROPORTIONS V/S INCIDENCE RATE CONT…:
Line is incidence. Shows risk of breast cancer throughout life.
It is computation of risk of cancer within age group.- At 45 yrs curve changes.- Shows higher probability of cancer here - This is pre and post menopause in women.- Pattern is the same in women in all countries.- Probably pre and post menopausal breast cancers are different diseases.
PROPORTIONS AND INCIDENCE RATE:
Bar graph is % of total population with breast cancer.
Trend is different in that it shows reduction with age.
REASONS:- Fewer older people exist and contribute a small proportion to total.- Hence only 5% of breast cancer cases occur in oldest age grp.- Gives impression that lesser attention
required at old age than the young