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Applied Epidem

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    APPLIED EPIDEMIOLOGY

    Prepared by

    Antonio E. Chan, M.D.

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    1. Define epidemiology and outline its scope

    2. Differentiate epidemiology from clinicalepidemiology

    3. Describe approaches to establishingnormality

    4. Describe criteria and measures of disease

    occurrence commonly used inepidemiology

    5. Enumerate some routinely available datause in epidemiology

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    Learningobjectives

    6. Understanddiagnostictestinrelationtodisease

    7. Describethemaintypesofepidemiologicalstudies

    8. Enumeratetheadvantagesanddisadvantagesofobservationalstudiescomparedwithexperimentalstudies

    9. Explaincauseofdisease

    10. Outlinethestepsnecessarytoestablishthecauseofdisease

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    Learningobjectives

    11. Appreciate the differing approaches usedin epidemiology to compare theoccurrence of disease

    12. Outlinetheroleofepidemiologyindescribingthenaturalhistoryofadiseaseandprognosis

    13. Understandtheroleofepidemiologyinthe

    preventionandcontrolofdiseasethroughidentificationofthecausesofdisease

    14. Relatethedifferentstagesofthedevelopmentofadiseasetothephasesofprevention

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    WhatisEpidemiology?

    The study of the distribution and

    determinants of health-related states

    or events in specified populations, and

    the application of this study to controlof health problems

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    Tounderstandthecourseofthe

    disease(naturalhistoryofthedisease) Toidentifythecausesorriskfactors

    Toprovideeffectivemeasuresof

    treatmentandprevention

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    Uses of epidemiologyGenetic factors

    1. Causation

    Environmental factors(including lifestyle)

    2. Natural history

    3. Description of health statusof population

    Proportion with ill health,change over time,

    change with age, etc

    Good health Ill health

    Good health Subclinicalchanges

    Clinicaldisease

    Death

    Recovery

    Good health

    ILLhealth

    Time

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    Uses of epidemiology

    4. Evaluation ofintervention Good health Ill health

    TreatmentMedical care

    Health promotionPreventive measuresPublic health services

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    APPLIEDEPIDEMIOLOGY

    Clinicalepidemiology

    Communicablediseaseepidemiology

    Environmentalandoccupationalepidemiology

    Molecularepidemiology

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    CLINICALEPIDEMIOLOGY

    Definition

    istheapplicationofepidemiologicalprinciplesand

    methodstothepracticeofclinicalmedicine

    isthescienceofmakingpredictionsaboutindividual

    patientsbycountingclinicaleventsinsimilar

    patients,usingscientificmethodsforstudiesofgroupsofpatientstoensurethatthepredictionsare

    accurate

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    CLINICAL EPIDEMIOLOGY

    Purpose:

    todevelopandapplymethodsofclinicalobservationsthatwillleadtovalid

    conclusionsbyavoidingbeingmisledby

    systematicerrorandchance

    tomakegooddecisionsinthecareofpatients

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    TheRelationshipBetween

    EPIDEMIOLOGY+ CLINICALMEDICINE

    Populations Individuals

    Studies/Assessments

    Prevention

    EvaluationPlanning

    Diagnosis

    Treatment

    Curing

    Caring

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    ClinicalQuestion

    IssueQuestion

    Abnormality Isthepatientsickorwell?

    Diagnosis Howaccuratearetestsusedtodiagnosedisease?

    Frequency Howoftendoesadiseaseoccur?

    Risk Whatfactorsareassociatedwithanincreasedriskofdisease?Prognosis Whataretheconsequencesofhavingadisease?

    Treatment Howdoestreatmentchangethecourseofdisease?

    Prevention Doesaninterventiononwellpeoplekeepdiseasefromarising?

    Doesearlydetectionandtreatmentimprovethecourseof

    disease?

    Cause Whatconditionsleadtodisease?Whatarethepathogenetic

    mechanismsofdisease

    Cost Howmuchwillcareforanillnesscost?

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    Sourcesofdatausefulfor

    epidemiologystudies

    Data on vital events birth and death

    Morbidity or disease statistics

    Data on physiologic and or pathologiccondition

    Statistics on health resources and services

    Statistics pertaining to the environment Demographic data

    Socio-cultural data

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    MeasuringHealthandDiseaseClinicalquestion:Isthepatientsickorwell?

    Healthisdefinedasastateofcomplete

    physical,mental,andsocialwell-being

    andnotmerelytheabsenceofdiseaseorinfirmity.

    Epidemiologistsdefinitionofhealthstates diseasepresentordiseaseabsent

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    MeasuringHealthandDiseaseClinicalquestion:Isthepatientsickorwell?

    Diagnostictests

    qualitativediagnostictest

    quantitativediagnostictestNormal(Gaussian)distributionmethod

    Percentilemethod

    TherapeuticmethodPredictivevaluemethod

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    MeasuringHealthandDisease

    Diagnostic criteria are usually based on

    symptoms, signs and test results

    1. Hepatitis presence of antibodies in the blood

    2. Asbestosis - symptoms and signs of specific changes

    in lung function,

    - radiographic demonstration of fibrosis of

    the lung tissue or pleural thickening and

    - history of exposure to asbestos fibers.

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    Major Manifestations Minor ManifestationsCarditisClinical:

    PolyarthritisfeverChoreaathralgia(jointpains)

    Erythemamarginatumpreviousrheumaticfeveror

    Subcutaneousnodulesrheumaticheartdisease

    Laboratory:

    Acutephasereactants:

    AbnormalESR,CRP,

    leukocytosis

    ProlongedP-Rinterval

    TheJonesCriteria(revised)forGuidanceinthe

    DiagnosisofAcuteRheumaticFever

    Ahighprobabilityofrheumaticfeverisindicatedbythepresenceoftwomajor

    oronemajorandtwominor,manifestations,ifsupportedbyevidenceofa

    precedingGroupAstreptococcalinfection

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    MAJORSIGNS MINORSIGNS

    Weightloss>10%Persistentcough>1month

    Fever>1month GeneralpruriticdermatitisChronicdiarrhea>1monthRecurrentherpeszoster

    Generallymphadenopathy

    Chronicherpessimplex

    Oralcandidiasis

    WHOCASE-DEFINITIONFORAIDS

    ThepresenceofdisseminatedKaposissarcomaor

    cryptococcalmeningitis

    or

    Twomajorsignsinassociationwithatleastoneminorsign

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    MeasuringHealthandDisease

    Diagnosticcriteriamustbeclearlystated,easytouseandeasytomeasureinastandardmannerunderawidevarietyofcircumstancesbydifferentpeople

    Diagnosticcriteriamaychangequiterapidlyasknowledgeortechniquesimprove.

    Definitionsusedinclinicalpracticearelessrigidlyspecifiedandclinicaljudgmentismoreimportantindiagnosis

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    MeasuringHealthandDisease

    The development of criteria to establishthe presence of disease requires

    definition of normality and abnormality

    Difficult to define what is normal

    No clear distinction between normal andabnormal

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    ApproachesinestablishingnormalityClinicalquestion:Isthepatientsickorwell?

    Problem(misclassification)

    Clinicalmeasurements

    nominalasymptomatic

    ordinalcut-offpointintervalorratio

    Clinicalmeasurementshaveskeweddistributions

    Percentilemethod(sameprevalencerates)

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    Levelatwhichtreatmentdoesmoregoodthanharm-Cost

    Inspecificagegroupsformenandwomenatwhichtreatmentmakes

    economicaswellasmedicalsense

    Criteriachangefromtimetotime

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    ApproachesinestablishingnormalityClinicalquestion:Isthepatientsickorwell?

    Normal Abnormal

    commonorusualbeingunusual

    well beingsick

    notbeingtreatablebeingtreatable

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    MeasuresofdiseasefrequencyClinicalquestion:Howoftendoesadiseaseoccur?

    Prevalenceofadiseaseisthenumberofcasesinadefinedpopulationataspecifiedpointintime

    Pointprevalence

    Periodprevalence

    Incidenceisthenumberofnewcasesarisingina

    givenperiodinaspecifiedpopulation

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    MeasuringdiseasefrequencyClinicalquestion:Howoftendoesadiseaseoccur?

    Theprevalencerate(P)foradiseaseiscalculatedas

    follows:

    Numberofpeoplewiththediseaseorcondition

    P=-----------------------------------------------------------------(xfactor)

    Numberofpeopleinthepopulationatriskatthe

    specifiedtime

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    MeasuringdiseasefrequencyClinicalquestion:Howoftendoesadiseaseoccur?

    Incidencerate(I)

    Numberofpeoplewhogeta

    diseaseinaspecifiedperiodI=----------------------------------------------------X(factor)

    Sumofthelengthoftimeduringwhich

    eachpersoninthepopulationisatrisk

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    MeasuringdiseasefrequencyClinicalquestion:Howoftendoesadiseaseoccur?

    Incidencerate

    Thenumeratoristhenumberofnewevents

    thatoccurinadefinedtimeperiod Thedenominatoristhepopulationatriskof

    experiencingtheeventduringthisperiod

    Themostaccuratewayofcalculating

    incidencerateistocalculatetheperson-

    timeincidencerate(Incidencedensity)

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    MeasuringdiseasefrequencyClinicalquestion:Howoftendoesadiseaseoccur?

    Cumulativeincidencerateorrisk(CI)

    Numberofpeoplewhogetadiseaseduringaspecifiedperiod

    CI=----------------------------------------------------X(factor)

    Numberofpeoplefreeofthediseasein

    thepopulationatriskatthebeginningoftheperiod

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    Factorsinfluencingobservedprevalencerate

    Increasedby:Decreasedby:

    LongerdurationofthediseaseShorterdurationofdisease

    ProlongationoflifeofpatientHighcase-fatalityratefromdisease

    withoutcure

    IncreaseinnewcaseDecreaseinnewcases

    (increaseinincidence)(decreaseinincidence)

    In-migrationofcasesIn-migrationofhealthypeople

    Out-migrationofhealthypeopleOut-migrationofcases

    In-migrationofsusceptiblepeopleImprovedcurerateofcases

    Improveddiagnosticfacilities

    (betterreporting)

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    MeasuringdiseasefrequencyClinicalquestion:Howoftendoesadiseaseoccur?

    Prevalencestudiesdonotusuallyprovidestrongevidenceofcausality

    Itishelpfulinassessingtheneedforhealthcareandtheplanningofhealthservices

    Prevalenceratesareoftenusedtomeasuretheoccurrenceofconditionsforwhichtheonsetofdiseasemaybegradual

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    MeasuringdiseasefrequencyClinicalquestion:Howoftendoesadiseaseoccur?

    Cumulativeincidencerate

    Unlikeincidencerate,itmeasuresthedenominatoronlyatthe

    beginningofastudy

    Thisratehasasimplicitythatmakesitsuitableforthe

    communicationofhealthinformationtodecisionmakers

    Easytointerpretandprovideausefulsummarymeasure

    Itisusefulapproximationofincidenceratewhentherateis

    loworwhenthestudyperiodisshort

    E l

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    274

    CI=------------x1000=2.3per1000

    118,539

    Example

    Relationshipbetweencigarettesmokingandincidencerate

    Strokeinacohortof118,539women

    Neversmoked 70395,59417.7

    Ex-smoker65232,71227.9

    Smoker139280,14149.6

    Total274908,44730.2

    Person-yearsStrokeincidencerate

    SmokingNo.ofcasesofobservation(per100,000

    Categoryofstroke(over8years)person-years)

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    Measuringdiseasefrequency

    Clinicalquestion:Howoftendoesadiseaseoccur?

    Case-fatalityrate

    ameasureoftheseverityofadisease

    No.ofdeathsfromadiseaseinaspecifiedperiod

    Casefatalityrate=------------------------------------------X100

    (CFR)No.ofdiagnosedcasesofthe

    diseaseinthesameperiod

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    USEOFAVAILABLEINFORMATION

    (Mortality)

    Numberofdeathsinaspecifiedperiod

    Crudemortalityrate=---------------------------------------------------------XF

    (CMR)Averagetotalpopulationduringthatperiod

    Thismortalitycanbemadespecificastoage,sexorcause

    Notappropriatetouseforcomparisonbecausedeathvaries

    accordingage,sex,race,socio-economicclassandotherfactors

    Comparisonofmortalityratesbetweengroupsofdiverseage

    structureareusuallybasedonage-standardizedrates

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    Standardizationofrates

    (Adjustmentofrates)

    1.Directadjustmentofrates

    Thisrequirestheselectionofsomepopulation,calledastandardpopulation,towhichtheage-specificratesforeachpopulation

    canbeapplied.

    2.Indirectadjustmentofrates

    Standardizationisbasedonage-specificratesratherthanagecomposition

    Thepopulationwhoseratesformthebasisforcomparisonis

    referredtoasthestandardpopulation

    Thelargerofthetwopopulationsisusuallychosenasstandard

    becauseitsratestendtobemorestable

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    Standardizationofrates

    (Adjustmentofrates)

    Ifdevelopedandanundevelopedcountryarecompared,the

    developedcountrywouldprobablybetakenasthestandard

    Acommonwayofcarryingoutindirectage-adjustmentistorelatethetotalexpecteddeathsthusobtainedtoobserved

    deathsthroughaformulaknownastheStandardizedMortality

    Ratio(SMR)

    Totalobserveddeathsinapopulation SMR=-------------------------------------------------------

    Totalexpecteddeathsinthatpopulation

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    Standardizationofrates

    (Adjustmentofrates)

    Interpretation:

    Ifthismortalityratioisgreaterthan1,itmeansthatmoredeaths

    areobservedinthesmallerorcomparisonpopulationthanwouldbeexpectedonthebasisofratesinthelarger

    (standard)population

    Iftheratioislessthan1,fewerdeathsareobservedthan

    expected

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    Example:Directmethod

    Comparisonofdeathratesintwopopulationsbyage

    AnnualAnnualAge-specificNumberCrude

    AgePopulationDeathrateofDeathrate

    (years)NumberProportion(per1000)Deaths(per1000)

    (1)(2) (3) (4)(5)(6)PopulationA

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    ComputationofExpectedNumberofDeathsbyDirectMethod

    Example1:IdenticalAge-specificRates

    PopulationAPopulationBAge-specificAge-specific

    AgeStandardPopulationDeathRateExpectedDeathRateExpected

    (years)(AandBCombined)per1000Deathsper1000Deaths

    (1)(2)(3)=(2)x(1)(4)(5)=(4)x(1)

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    ComputationofExpectedNumberofDeathsbyDirectMethodExample2:DifferentAge-specificRates

    PopulationAPopulationBAge-specificAge-specific

    AgeStandardPopulationDeathRateExpectedDeathRateExpected

    (years)(AandBCombined)per1000Deathsper1000Deaths

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    p

    DeathsbyAgeandPhotofluorogramReading(Whites)for

    Three-and-a-HalfYearObservationPeriod,

    MuscogeeCounty,Georgia,1946

    NegativeforCardiovascularDiseaseSuspectforCardiovascularAge-specificDiseaseAgein1946NumberofdeathratesNumberof

    (years)Population Deathsper100 PopulationDeaths

    153413,681350.25231

    35548,8381021.15245

    55andover2,2531496.616514

    -----------------------------

    Allages24,77228611220

    Crudedeathrateper1001.1517.9

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    PercentageDistributionbyAgeofNegativesandSuspects,

    MuscogeeCounty,Georgia

    1534 13,681 55.2 23 20.5

    35548,838 35.7 24 21.4

    55andover2,253 9.1 65 58.0

    Allages24,772100.0112 99.9

    NegativeforSuspectfor

    CardiovascularDiseaseCardiovascularDisease

    AgePercentagePercentage

    (years)NumberofPopulationNumberofPopulation

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    CalculationofStandardizedMortalityRatiofor

    SuspectsComparedwithNegatives,

    MuscogeeCounty,Georgia

    (1) (2)(3)=(1)x(2) (4)

    153423 0.25 .1 1

    3554 24 1.15 .3 5

    55andover 65 6.61 4.3 14

    Allages4.720

    DeathRatesper100ExpectedDeathsObserved

    forPersonsNegativeamongSuspectsDeaths

    AgeNumberofforCardiovascularAccordingtoRatesamong

    (years)SuspectsDiseaseforNegativesSuspects

    Observeddeaths20

    SMR=--------------------------=---------=4.25

    Expecteddeaths4.7

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    No.ofdeathsinayearofchildrenlessthan1yearofage

    Infantmortalityrate=------------------------------------------------------XF

    No.oflivebirthsinthesameyear

    Ameasureofoverallhealthstatusforagivenpopulation

    Itisbasedontheassumptionthatitisparticularlysensitiveto

    socio-economicchangesandtohealthcareintervention

    Othermeasuresofmortalityinearlychildhoodare:

    1.Fetaldeathrate 2.Stillbirthorlatefetaldeathrate

    3.Perinatalmortalityrate

    4.Neonatalmortalityrate

    5.Postneonatalmortalityrate

    Mortality

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    Child mortality rate

    is based on deaths of children aged 1 4 years and is importantbecause accidental injuries, malnutrition and infectious diseases

    are common in this age group

    Maternal pregnancy-relateddeaths in a year

    Maternal mortality rate = -------------------------------------

    Total births in the same year

    Life expectancyis the average number of years an individual of agiven age is expected to live if current mortality rates continue

    Mortality

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    LifeExpectancy(years)atselectedages

    forfourcountries

    Age Mauritius Bulgaria USA Japan

    Birth65.068.371.675.8

    45years25.327.330.432.9

    65years11.712.615.016.2

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    DIAGNOSISClinicalquestion:Howaccuratearetestsusedtodiagnosedisease?

    Diagnostictesttheobjectiveistodiagnoseanytreatable

    diseasepresent

    Characteristicsofadiagnostictest

    Reliablegivesthesamemeasurementwhenrepeatedmorethanonce

    Valid-measureswhatitintendstomeasure

    AccuratecorrectlydeterminesthosewithdiseaseandthosewithoutEasytousecanbeperformedbyotherpeoplewithoutdifficulty

    Notexpensiveaffordable

    Safeandacceptable

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    Goldstandard

    asounderindicationoftruthorastandardof

    accuracy

    -anewdiagnostictestiscompared

    -elusive(notavailable)

    -expensiveandriskybiopsy,surgicalexploration,

    autopsy-sometimessimplethroatswabculture

    DIAGNOSISClinicalquestion:Howaccuratearetestsusedtodiagnosedisease?

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    80 90 100 110 120 130 140 150 160 170

    Normal Group Abnormal Group

    B l o o d L e v e l ( mg / 100 ml )

    Cut-offpoints

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    DIAGNOSISClinicalquestion:Howaccuratearetestsusedtodiagnosedisease?

    V lidit f di ti t t

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    Validityofadiagnostictest

    a=no.oftruepositives,b=no.offalsepositives

    c=no.offalsenegatives,d=no.oftruenegativesSensitivity=probabilityofapositivetestin

    peoplewiththedisease

    =a/(a+c)

    Specificity=probabilityofanegativetestinpeoplewithoutthedisease

    Positivepredictivevalue=probabilityofthepersonhaving

    thediseasewhenthetest

    ispositive

    =a/(a+b)Negativepredictivevalue=probabilityofthepersonnot

    havingthediseasewhenthe

    testisnegative

    =d/(c+d)

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    DISEASEClinicalquestion:Howaccurateareteststodiagnosedisease?

    Paralleltests(allatonce)-usedwhenrapidassessmentisnecessaryasinhospitalizedoremergencypatients,orforambulatorypatientswhocannotreturneasilyforevaluationbecausetheyhavecomefroma

    longdistance

    - Paralleltestsgenerallyincreasethesensitivityand,therefore,thenegativepredictivevalueforagivendiseaseprevalenceabovethoseofeachindividualtest.Ontheotherhand,

    specificityandpositivepredictivevaluearelowered

    - Paralleltestingisusefulwhentheclinicianisfacedwiththeneedforaverysensitivetestbuthasavailableonlytwoormorerelativelyinsensitiveones.

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    DISEASEClinicalquestion:Howaccurateareteststodiagnosedisease?

    Serialtesting(consecutively,basedonprevioustest

    result)

    -usedwhenrapidassessmentisnotrequired

    -usedwhensomeofthetestsareexpensiveorrisky

    -maximizesspecificityandpositivepredictivevalue

    butlowerssensitivityandthenegativepredictive

    value.

    -theprocessismoreefficientifthetestwiththe

    highestspecificityisusedfirst.

    EffectofSequenceisSerialTesting:AThenBversusBThenA

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    q g

    Prevalence of DiseaseNumber of patients tested 1000Number of patients with disease 200 (20% prevalence)

    Sensitivity and Specificity of the Tests

    Test Sensitivity SpecificityA 80 90B 90 80

    Sequence of Testing

    Begin with Test A Begin with Test BDisease Disease+ - + -

    A + 160 80 240 B + 180 160 340- 40 720 760 - 20 640 660

    200 800 1000 200 800 1000

    240 Patients Retested with B 340 Patients Retested with ADisease Disease+ - + -

    B + 144 16 160 A + 144 16 160- 16 64 80 - 46 144 180

    160 80 240 180 160 340

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    DISEASEClinicalquestion:Howaccuratearetestsusedtodiagnosedisease?

    Statementsaboutvaliditytest

    Sensitivityandspecificityareinverselyrelated.

    Asensitivetestcanpickupmostcasesofthediseasebutit

    willerroneouslylabelaspositivemanypersonswhodonot

    havethedisease.

    Ahighlyspecifictestwillcorrectlylabelasnegativethose

    whodonothavethediseasebutitwillmissmanycases.

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    Trade-OffbetweenSensitivityandSpecificitywhenDiagnosingDiabetes

    BloodSugarLevel

    2hrafterEating Sensitivity Specificity

    (mg/100mL) (%) (%)

    7098.6 8.8

    80 97.1 25.5

    90 94.3 47.6

    100 88.6 69.8

    110 85.7 84.1120 71.4 92.5

    130 64.3 96.9

    140 57.1 99.4

    15050.0 99.6

    16047.1 99.817042.9 100.0

    180 38.6 100.0

    19034.3 100.0

    20027.1 100.0

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    DISEASEClinicalquestion:Howaccurateareteststodiagnosedisease?

    Averysensitivetestgivesalowpositivepredictivevaluesince

    itproducesmanyfalsepositive.Conversely,averyspecific

    testgivesahighpositivepredictivevalue.

    Sensitivityandspecificityareunaffectedbytheprevalenceof

    thediseaseorcondition.Sincesensitivitydependsonlyon

    thosewiththediseaseorconditionandspecificityonlyon

    thosewithoutthediseaseorcondition.

    Thepositivepredictivevalueofatestincreaseswiththe

    prevalenceofthedisease.

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    DISEASEClinicalquestion:Howaccurateareteststodiagnosedisease?

    Usesofsensitivetests

    Asensitivetestshouldbechosenwhenthereisanimportantpenaltyformissingadisease(dangerousbuttreatable

    condition)

    Asensitivetestismosthelpfultotheclinicianwhenthetest

    resultisnegative(toruleoutdisease)

    Usesofspecifictests

    Highlyspecifictestsareneededwhenfalse-positiveresultscanharmthepatientphysically,emotionally,orfinancially.

    Aspecifictestismosthelpfulwhenthetestresultispositive

    (toconfirmorruleinthedisease

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    DISEASEClinicalquestion:Howaccurateareteststodiagnosedisease?

    Problems:

    Lackofinformationonnegativetests

    Lackofinformationontestresultsinthe

    nondiseased

    Lackofobjectivestandardsfordisease

    Consequencesofimperfectstandards

    Ifanewtestiscomparedwithanold(butinaccurate)standardtest,thenewtestmayseemworseevenwhenitisactuallybetter

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    DISEASEClinicalquestion:Howaccurateareteststodiagnosedisease?

    Reliabilityandvalidity

    Measurementerror

    InstrumentThemeansofmakingthemeasurement

    ObserverThepersonmakingthemeasurement

    Biologicvariation

    WithinindividualsChangesinpeoplewithtimeandsituation

    AmongindividualsBiologicdifferencesfrompersontoperson

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    DISEASEClinicalquestion:Howaccurateareteststodiagnosedisease?

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    Typesofepidemiologicalstudy

    Type of study Alternative name Unit of study

    Observational studies

    Descriptive studies

    Analytical studies

    Ecological Correlational PopulationCross-sectional Prevalence Individuals

    Case-control Case-reference Individuals

    Cohort Follow-up Individuals

    Experimental studies Interventional studiesRandomized controlled trials Clinical trials Patients

    Field trials Healthy people

    Community trials Community intervention Communities

    studies

    Types of epidemiological study

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    Typesofepidemiologicalstudy(Descriptivestudies)

    Casereports

    -detailedpresentationsofasinglecaseorahandfulofcases

    -meansofdescribingrareclinicalevents

    -describeunusualmanifestationsofdisease

    -elucidatethemechanismsofdiseaseandtreatment

    -placeissuesbeforemedicalcommunityandoftentrigger

    moredecisivestudies

    -susceptibletobias

    Types of epidemiological study

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    Typesofepidemiologicalstudy(Descriptivestudies)

    Case-series

    -asimpledescriptiveaccountofinterestingcharacteristics

    observedinagroupofpatients

    -studylargergroupofpatients(e.g.10ormore)withparticular

    disease

    -describetheclinicalmanifestationsofdiseaseandtreatments

    inagroupofpatientsassembledatonepointintime

    -absenceofacomparisongroup,notconclusive

    -hypothesis-generating

    -selectionbias

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    Typesofepidemiologicalstudy(Observationalstudies)

    Ecologicalstudies

    -aggregateriskstudies

    -unitsofanalysisarepopulationsorgroupsofpeoplerather

    thanindividuals

    -relyondatacollectedforotherpurposes;dataondifferent

    exposuresandonsocioeconomicfactorsmaynotbeavailable

    -ecologicalfallacy(bias)

    -usefulinraisinghypothesis

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    Typesofepidemiologicalstudy(Observationalstudies)

    Cross-sectionalStudy(PrevalenceStudy)

    Typesofepidemiologicalstudy

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    Observationalstudies

    Cross-sectional(Prevalencestudy)

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    Typesofepidemiologicalstudy(ObservationalStudies)

    -measuretheprevalenceofdisease

    -measurementsofexposureandeffectaremadeatthesametime

    -usefulforinvestigatingexposuresthatarefixed

    characteristicsofindividuals,suchasethnicity,socio-economicstatusandbloodgroup,orchronic

    diseasesorstableconditions

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    Typesofepidemiologicalstudy(Observationalstudies)

    Cross-sectionalstudies(Prevalencestudies)

    -Insuddenoutbreaksofdiseaseitisthemost

    convenientfirststepinaninvestigationintothecause

    -Raredisease,conditionsofshortdurationor

    diseaseswithhighcasefatalityareoftennotdetected

    T f id i l i l d

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    Typesofepidemiologicalstudy(Observationalstudies)

    Cross-sectionalstudies(Prevalencestudies)

    -short-termandthereforelesscostly

    -providenodirectestimateofrisk

    -pronetobiasfromselectivesurvival

    -estimatesofprevalencemaybebiasedbytheexclusionofcasesinwhichdeathorrecoveryarerapid

    T f id i l i l d

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    Typesofepidemiologicalstudy(Observationalstudies)

    T f id i l i l d

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    Typesofepidemiologicalstudy(Observationalstudies)

    Case-controlstudies

    -longitudinalstudies(lookingbackwardfromthe

    diseasetoapossiblecause)

    -usenew(incident)cases

    -usedtoinvestigatecause(etiology)ofdisease,esp.

    rarediseases

    -usedoddsratio

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    TablearrangementandformulaforOddsratio(OR)

    DiseaseNodiseaseTotal

    RiskfactorpresentABA+B

    RiskfactorabsentCDC+D

    TotalA+CB+D

    [A/(A+C)]/[C/(A+C)]A/CADOR=-------------------------------=-------=-------

    [B/(B+D)]/[D/(B+D)]B/DBC

    T f id i l i l t d

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    Typesofepidemiologicalstudy(Observational studies)

    Oddsratiomeasureofthestrengthassociation

    InterpretationofOddsratio

    TheoddsofhavingthediseaseinquestionareOR

    timesgreateramongthoseexposedthanthosewithno

    exposure

    ThelargerthevalueofOR,thestrongertheassociation

    betweenthediseaseinquestionandexposuretothe

    riskfactor

    WhenthevalueofORiscloseto1,thediseaseandthe

    exposuretotheriskfactorareunrelated

    T f id i l i l t d

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    Typesofepidemiologicalstudy(Observationalstudy)

    InterpretationofOddsratio

    ValueofORlessthan1indicatesanegative

    association(i.e.,protectiveeffect)betweentherisk

    factorandthedisease

    Forraredisease(e.g.,mostchronicdiseaseswith

    diseaseprevalenceoflessthan10%),ORapproximatesRR

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    Exampleofcase-controlstudy

    Associationbetweenrecentmeatconsumptionand

    enteritisnecroticansinPapuaNewGuinea

    Exposure(recentmeatingestion)

    YesNoTotal

    DiseaseYes501161

    (enteritisnecroticans)No164157

    Total6652118

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    Exampleofcase-controlstudy

    [A/(A+C)]/[C/(A+C)]A/CAD

    OR=--------------------------------=--------=-----

    [B/(B+D)]/[D/(B+D)]B/DBD

    50X41

    OR=-------------=11.6

    11X16

    Thecaseswere11.6timesmorelikelythanthecontrolstohaverecentlyingestedmeat

    T pes of epidemiological st d

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    Typesofepidemiologicalstudy(Observationalstudies)

    Cohort studies

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    PastPresentFuture

    CohortFollow-up

    assembled

    Historical

    cohort

    CohortFollow-upassembled

    Concurrent

    cohort

    Types of epidemiological study

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    Typesofepidemiologicalstudy(Observationalstudies)

    Cohortstudies

    -longitudinalstudies(forward)

    -providethebestinformationaboutthecausationofdisease

    -mostdirectmeasurementoftheriskofdevelopingdisease

    -providethepossibilityofestimatingtheattributablerisks

    -userelativerisk

    Types of epidemiological study

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    Typesofepidemiologicalstudy(Observationalstudies)

    Cohortstudies

    -mostcloselyresembleexperimentalstudies

    -Long-term,notalwaysfeasible-Samplesizerequiredforthestudyextremely

    large

    -Attritionismostseriousproblem

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    Tablearrangementandformulaforrelativerisk(RR)

    Disease No Disease Total

    Risk factor present A B A + B

    Risk factor absent C D C + D

    Total A + C B + D

    A/(A+B)RR=-----------------

    C/(C+D)

    Types of epidemiological study

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    Typesofepidemiologicalstudy(Observationalstudies)

    Interpretationofrelativerisk(RR)

    Thedisease(orotherhealthrelatedoutcome)isRR

    timesmorelikelytooccuramongthoseexposedthanamongthosewithnoexposure

    ThelargerthevalueofRR,thestrongertheassociation

    betweenthediseaseinquestionandexposuretothe

    riskfactor

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    Exampleofcohortstudy

    Problem:

    Acountyschoolsystemprovideslunchto10,000

    schoolchildren.Duringthefirstweekofschool,2,500ofthesechildrenatechickensaladlatershowntobe

    contaminatedwithsalmonella.Theentirepopulation

    of10,000studentswassubsequentlyfollowedforone

    monthtodeterminewhetherexposuretosalmonella

    increasedtheriskofdiarrhea.

    Example of cohort study

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    Exampleofcohortstudy

    DiarrheaNoDiarrhea

    Exposure(D+)(D-)Totals

    E+302,4702,500

    E-607,4407,500

    Totals909,91010,000

    A/(A+B)30/2,500RR=---------------=-----------------=1.5

    C/(C+D)60/7,500

    1.5timesgreaterthaninchildrenwithnosuchexposure

    Advantagesanddisadvantagesofdifferentobservational

    study designs

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    studydesigns

    Probabilityof:

    selectionbiasNAmediumhighlow

    recallbiasNAhighhighlow

    losstofollow-upNANAlowhigh

    confoundinghighmediummediumlow

    Timerequiredlowmediummediumhigh

    Costlowmediummediumhigh

    EcologicalCross-Case-Cohort

    sectionalcontrol

    Applicationsofdifferentobservationalstudydesigns

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    Investigationofraredisease++++-+++++-

    Investigationofrarecause++--+++++

    Testingmultipleeffectof+++-+++++

    cause

    Studyofmultipleexposure+++++++++++

    anddeterminants

    Measurementsoftime++-++++++

    relationship

    Directmeasurementof--++++++

    incidence

    Investigationoflong--+++-

    latentperiods

    EcologicalCross-Case-Cohort

    sectionalcontrol

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    Types of epidemiological study

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    Typesofepidemiologicalstudy(Experimentalstudies)

    Randomizedcontrolledtrials(RCTs)

    - Goldstandardorreferenceinmedicine

    - Providethegreatestjustificationfor

    concludingcausality

    - Subjecttotheleastnumberofproblemsor

    biases

    - Beststudydesigntoestablishtheefficacyofatreatmentoraprocedure

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    BiasinClinicalObservation

    Selectionbiasoccurswhencomparisonsare

    madebetweengroupsofpatientsthatdifferin

    determinantsofoutcomeotherthantheoneunder

    study

    Measurementbiasoccurswhenthemethodsof

    measurementaredissimilaramonggroupsof

    patients

    Confoundingbiasoccurswhentwofactorsare

    associated(traveltogether)andtheeffectofone

    isconfusedwithordistortedbytheeffectofthe

    other

    MethodsofControllingSelectionBias

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    PhaseofStudy

    MethodDescriptionDesignAnalysis

    Randomization Assignpatientstogroupsinawaythat+

    giveseachpatientequalchanceof

    fallingintooneortheothergroup

    Restriction Limittherangeofcharacteristicsof+ofpatientsinthestudy

    Matching Foreachpatientinonegroupselectone+

    ormorepatientswiththesame

    characteristics(exceptfortheone

    understudy)foracomparisongroup

    StratificationComparerateswithinsubgroups(strata)+

    withotherwisesimilarprobabilityofthe

    outcome

    MethodsforControllingSelectionBias

    Ph f St d

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    PhaseofStudy

    MethodDescriptionDesignAnalysis

    Adjustment

    SimpleMathematicallyadjustcruderatesforone+

    orfewcharacteristicssothatequalweight

    isgiventostrataofsimilarrisk

    MultipleAdjustfordifferenceinlargenumberoffactors+

    relatedtooutcome,usingmathematical

    modellingtechniques

    Bestcase/Describehowdifferenttheresultscouldbe+

    Worsecaseunderthemostextremeorsimplyveryunlikely)

    conditionsofselectionbias

    Cause

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    Clinicalquestion:Whatconditionsleadtodisease?

    Whatarethepathogeneticmechanismsofdisease?

    Webstersdefinition

    somethingthatbringsaboutaneffectora

    result

    Medicine:etiologypathogenesis

    mechanismsorriskfactors

    Importance:prevention,diagnosisand

    treatmentofdisease

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    Cause

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    Clinicalquestion:Whatconditionsleadtodisease?

    Whatarethepathogeneticmechanismsofdisease?

    Multiplecausation(Webofcausation)

    Effectsneverdependonsingleisolatedcauses,but

    ratherdevelopastheresultofchainsofcausation

    inwhicheachlinkitselfistheresultofacomplex

    genealogyofantecedents.

    Manyfactorsacttogethertocausedisease

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    Causesoftuberculosis

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    SUSCEPTIBLEHOSTINFECTIONTUBERCULOSIS

    Exposureto

    Mycobacterium

    TissueInvasionandReaction

    Crowding

    Malnutrition

    Vaccination

    Genetic

    RiskFactorsforMechanismsof

    TuberculosisPathogenesisTuberculosis

    DistantfromOutcomeProximaltoOutcome

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    Relationshipbetweencigarettesmokingandincidencerateof

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    p g g

    strokeinacohortof118,539women

    Neversmoked70395,59417.7

    Ex-smoker65232,71227.9

    Smoker139280,14149.6

    Total274908,44730.2

    Smoking Person-y ears Stroke incidence ratecategory No. of cases of observation (per 100,000

    of stroke (over 8 years) person-years)

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    Comparingdiseaseoccurrenceamong

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    exposedandunexposed

    Attributablefraction(exposed)

    istheproportionofthediseaseinthespecificpopulationthatwouldbeeliminatedintheabsenceofexposure

    determinedbydividingtheriskdifferencebytherateofoccurrenceamongtheexposedpopulation

    Example:

    [(49.617.7)/49.6]x100=64%

    Interpretation:Onewouldexpecttoachievea64%reductionintheriskofstrokeamongthewomensmokersifsmokingwerestopped,ontheassumptionthatsmokingisbothcausalandpreventable

    Comparingdiseaseoccurrenceamong

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    exposedandunexposed

    Populationattributablerisk[attributablefraction(population)]

    isameasureoftheexcessrateofdiseaseinatotalstudypopulationwhich

    isattributabletoanexposure

    usefulfordeterminingtherelativeimportanceofexposuresfortheentire

    populationandistheproportionbywhichtheincidencerateofthe

    outcomeintheentirepopulationwouldbereducedifexposurewere

    eliminated.

    p

    up

    pI

    IIAF

    30.2 17.7= ------------------ = 0.414 o r 41.4%

    30.2

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    CauseasariskfactorClinical question: What conditions lead to disease ?

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    Clinical question: What conditions lead to disease ?What are the pathogenetic mechanisms of disease ?

    Usesofriskfactor

    1. predicttheoccurrenceofdisease

    2. markerofdiseaseoutcome

    3. improvethepositivepredictivevalueofa

    diagnostictest

    4. preventdisease

    CauseClinical question: What conditions lead to disease ?

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    Clinicalquestion:Whatconditionsleadtodisease?

    Whatarethepathogeneticmechanismsofdisease?

    Establishingcause

    Inclinicalmedicine,itisnotpossibleto

    provecausalrelationshipbeyondanydoubt.Itisonlypossibletoincreaseones

    convictionofacauseandeffectrelationship,

    bymeansofempiricevidence,causeisestablished.

    CauseClinical question: What conditions lead to disease ?

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    Clinicalquestion:Whatconditionsleadtodisease?

    Whatarethepathogeneticmechanismsofdisease?

    Establishingcause

    Factorsthatareconsideredcausesatonetimearesometimesfoundtobeindirectly

    relatedtodiseaselater,whenmore

    evidencesareavailable

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    Temporal Doesthecauseprecedetheeffect?(essential)

    Plausibility Istheassociationconsistentwithotherknowledge?

    (mechanismofaction;evidencefromexperimentalanimals)

    Consistency Havesimilarresultsbeenshowninotherstudies?

    Strength Whatisthestrengthoftheassociationbetweenthecauseand

    theeffect?(relativerisk)Dose-response Isincreasedexposuretothepossiblecauseassociated

    relationship withincreasedeffect?

    Reversibility Doestheremovalofapossiblecauseleadtoreductionof

    diseaserisk?Studydesign Istheevidencebasedonastrongstudydesign?

    JudgingtheevidenceHowmanylinesofevidenceleadtotheconclusion?

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    Naturalhistoryofadiseaseandprognosis

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    Clinicalquestion:Whataretheconsequencesofhavingadisease?

    Prognosis

    isapredictionofthefuturecourseofdiseasefollowingitsonset

    Naturalhistoryofdisease

    referstothestagesofadisease

    a.Natural

    b.Clinicalcourse

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    Natural history of disease and prognosis

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    Clinical question: What are the consequences of having a disease ?

    Prognosticfactors

    areconditionsthatareassociatedwithagivenoutcomeofthedisease

    RiskfactorsPrognosticfactors

    eventsbeingcountedisavarietyofconsequences

    theonsetofdiseaseofdiseasearecounted

    predictlowprobabilitydescriberelativelyfrequent

    eventsevents

    Natural history of disease and prognosis

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    Clinicalquestion:Whataretheconsequenceofhavingadisease?

    Multipleprognosticfactorsandpredictionrules

    Acombinationoffactorsmaygiveamoreprecise

    prognosisthaneachofthesamefactorstakenoneatatime

    Clinicalpredictionrulesestimatetheprobabilityof

    outcomesaccordingtoasetofpatientcharacteristics

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    OutcomesofDisease(theFiveDs)

    Death Abadoutcomeifuntimely

    Disease Asetofsymptoms,physicalsigns,andlaboratory

    abnormalities

    Discomfort Symptomssuchaspain,nausea,dyspnea,itching,

    andtinnitis

    Disability Impairedabilitytogoaboutusualactivitiesathoe,

    work,orrecreation

    Dissatisfaction Emotionalreactiontodiseaseanditscare,suchas

    sadnessoranger

    Natural history of disease and prognosis

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    Clinical question: What are the consequences of having a disease ?

    Descriptionsofprognosisshouldincludethefullrangeofmanifestationsthatwouldbeconsideredimportanttopatients

    Cohortsinprognosticstudiesareobservedstartingfromapointintime,,calledzerotime.

    Thispointshouldbespecifiedclearlyandbethe

    samewell-definedlocationalongthecourseofdisease(e.g.onsetofsymptoms,timeofdiagnosisorbeginningoftreatment)foreachpatient

    NaturalhistoryofdiseaseandprognosisClinicalquestion:Whataretheconsequenceofhavingadisease?

    Rates Commonl Used to Describe Prognosis

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    RatesCommonlyUsedtoDescribePrognosis

    RateDefinition

    5-yearsurvival Percentofpatientssurviving5yearsfrom

    somepointinthecourseoftheirdisease

    Casefatality Percentofpatientswithadiseasewhodie

    ofit

    Disease-specificmortalityNumberofpeopleper10,000population

    dyingofaspecificdisease

    Response Percentofpatientsshowingsome

    evidenceofimprovementfollowingan

    interventionRemission Percentofpatientsenteringaphasein

    whichdiseaseisnolongerdetectable

    Recurrence Percentofpatientswhohavereturnof

    diseaseafteradisease-freeinterval

    NaturalhistoryofdiseaseandprognosisCli i l i Wh h f h i di ?

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    Clinicalquestion:Whataretheconsequencesofhavingadisease?

    Survivalanalysis(Kaplan-Meiranalysis)

    awayofestimatingthesurvivalofacohortovertime

    Lifetableanalysis

    TreatmentClinical question: How does treatment change the

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    Clinicalquestion:Howdoestreatmentchangethe

    courseofdisease?

    Usuallytheeffectsoftreatmentaremuchlessobviousandmostinterventionsrequireresearchtoestablishtheirvalue

    Specificinterventionsmustdomoregoodthanharmamongpatientswhousethem(efficaciousandeffective)

    Themostdesirablemethodformeasuringefficacyandeffectivenessisthatoftherandomizedcontrolledtrial

    TreatmentClinicalquestion:Howdoestreatmentchangethe

    f di ?

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    courseofdisease?

    Interventionstudies

    Clinicaltrials

    Controlledtrials

    Uncontrolledtrials

    Concurrentcontrol

    TreatmentClinicalquestion:Howdoestreatmentchangethe

    f di ?

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    courseofdisease?

    Typesofclinicaltrial(accordingtopurpose)

    Prophylactictrials,e.g.immunization,contraception

    Therapeutictrials(drugtreatment,surgicalprocedures

    Safetytrials(side-effectsofdrug)

    Effectivenesstrials(theoretical,use,andextendeduse

    effectivenessofcontraceptivemethods)

    Riskfactortrials(provingetiologyofdisease)

    Efficiencytrials

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    TreatmentClinicalquestion:Howdoestreatmentchangethe

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    q g

    courseofdisease?

    Phase3ClinicalTrials(Classicalphase)

    performedonpatientswithconsent

    carriedoutmostlyonhospitalin-patients

    assesstheeffectiveness,safetyandcontinueduse

    ofthedrug/device

    Phase4ClinicalTrials

    atrialinnormalfieldorprogramsettingreassesseffectiveness,safety,acceptabilityand

    continueduseofthedrugs

    PreventionClinicalquestion:Doesaninterventiononwellpeoplekeep

    disease from arising? Does early detection and treatment

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    diseasefromarising?Doesearlydetectionandtreatment

    improvethecourseofdisease?

    Prevention(Webstersdefinition)theactof

    keepingfromhappening

    Inclinicalmedicine,thedefinitionisrestricted;

    dependingonwheninthecourseofdisease

    interventionsaremade

    PreventionClinicalquestion:Doesaninterventiononwellpeoplekeep

    disease from arising? Does early detection and treatment

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    diseasefromarising?Doesearlydetectionandtreatment

    improvethecourseofdisease?

    ASYMPTOMATIC

    NODISEASEDISEASECLINICALCOURSE

    Onset

    Clinical

    Diagnosis

    PrimarySecondaryTertiary

    RemoveriskEarlydetectionReducefactorsandtreatmentcomplications

    Levelsofprevention

    PreventionClinicalquestion:Doesaninterventiononwellpeoplekeepthe

    disease from arising? Does early detection and treatment

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    diseasefromarising?Doesearlydetectionandtreatment

    improvethecourseofdisease?

    LevelofpreventionPhaseofdiseaseTarget

    Primary SpecificcausalfactorTotalpopulation,

    selectedgroupsandhealthy

    individuals

    SecondaryEarlystageofdiseasePatients

    TertiaryLatestageofdiseasePatients

    (treatment,rehabilitation)

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    PreventionClinicalquestion:Doesaninterventiononwellpeoplekeep

    disease from arising? Does early detection and treatment

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    diseasefromarising?Doesearlydetectionandtreatment

    improvethecourseofdisease?

    Secondaryprevention

    Papsmear

    Screeningtest

    identificationofanunrecognizeddiseaseor

    riskfactorbyhistorytaking,physical

    examination,laboratorytestorotherprocedurethatcanbeappliedrapidly

    Criteriaforinstitutingascreeningprogram

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    Disease Serious

    Highprevalenceofpreclinicalstage

    Naturalhistoryunderstood

    Longperiodbetweenfirstsignsandovertdisease

    DiagnostictestSensitiveandspecific

    Simpleandcheap

    Safeandacceptable

    Reliable

    Diagnosisand Facilitiesareadequate

    TreatmentEffective,acceptable,andsafetreatmentavailable

    PreventionClinicalquestion:Doesaninterventiononwellpeoplekeep

    disease from arising? Does early detection and treatment

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    diseasefromarising?Doesearlydetectionandtreatment

    improvethecourseofdisease?

    Tertiaryprevention

    Limitationofdisability

    Rehabilitation

    Thegoalhereisnottopreventdeathbutto

    maximizetheamountofhigh-qualitytimea

    patienthasleft.

    PreventionClinicalquestion:Doesaninterventiononwellpeoplekeep

    disease from arising? Does early detection and treatment

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    diseasefromarising?Doesearlydetectionandtreatment

    improvethecourseofdisease?

    HealthmaintenanceorPeriodichealthexamination

    Proceduresareperformedonpatientswithout

    specificcomplaints,toidentifyandmodifyriskfactorstoavoidtheonsetortofinddiseaseearly

    initscoursesothatbyinterveningpatientsremain

    well

    CriteriaforDecidingWhetheraMedicalCondition

    ShouldBeIncludedinPeriodicHealthExamination

    H t i th b d f ff i d b th diti

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    1. Howgreatistheburdenofsufferingcausedbytheconditionintermsof:

    DeathDiscomfortDiseaseDissatisfaction

    DisabilityDestitution

    2. Howgoodisthescreeningtest,ifoneistobeperformed,intermsof:

    SensitivityCostSpecificitySafety

    SimplicityAcceptability

    3.a.Forprimaryprevention,howeffectiveistheintervention?

    or

    b.Forsecondaryprevention,iftheconditionisfound,how

    effectiveistheensuingtreatmentintermsof:Efficacy

    Patientcompliance

    Earlytreatmentbeingmoreeffectivethanlatertreatment

    PreventionClinicalquestion:Doesaninterventiononwellpeoplekeepthe

    disease from arising? Does early detection and treatment

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    diseasefromarising?Doesearlydetectionandtreatment

    improvethecourseofdisease?

    HealthmaintenanceorPeriodichealthexamination

    Howmuchharmforhowmuchgood?

    Beforeundertakingahealthpromotionprocedureonapatient,especiallyiftheprocedureis

    controversialamongexpertgroups,theclinician

    shoulddiscussboththepros(probabilityofand

    hopedforhealthbenefits)andcons(probabilityof

    unintendedeffects)oftheprocedurewiththe

    patient.

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    ThankYou

    Thespectrumofillnessfromcommunicabledisease

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    INAPPARENT MILD SEVERE DEATH

    INFECTION DISEASE DISEASE

    No signs or Clinical illness with signs and symptoms

    symptoms

    Origin

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    Over2,000yearsago,Hippocratesenvironmentalfactorscaninfluencetheoccurrenceofdisease

    Intheearly19thcentury,thedistributionofdiseaseinspecific

    humanpopulationgroupswasmeasured

    JohnSnowsepidemiologicalstudieson

    the risk factor of Cholera in London

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    theriskfactorofCholerainLondon

    Deaths from Cholera in districts of LondonSupplied by two water companies,8 July to 26 August 1854

    WaterSupplyPopulationNo.ofdeathsCholeradeath

    Company 1851 fromcholerarateper1000

    population

    ________________________________________________________

    Southwark 167,654 844 5.0

    Lambeth 19,133 18 0.9

    ACHIEVEMENTSINEPIDEMIOLOGY

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    EradicationofSmallpox

    IdentificationofmethylmercuryMinamata

    Disease

    IdentificationoffactorscausingRheumaticfever

    andRheumaticheartdisease

    Iodinedeficiencydisease

    AIDS,SARS

    PROGNOSIS

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    Survivalcurve

    1. Actuarialorlifetableanalysis

    (Cutler-Ederermethod)

    1. Kaplan-Meiercurve

    PatientDateofTransplantDatelosttoFollow-upDateofKidneyFailureMonthsinStudy

    1111-197948-197822118-197823

    3129197823

    44419784 241978

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    6510197819

    751419788 2819783

    8521197811 219785966197811 15197817

    10 617197818

    11 621197818

    12 722197811 719783

    13 927197815

    14 10519781 2019793

    15 1022197814

    16 111519781317 126197812

    18 1212197812

    19 21197910

    20 216197910

    21 4819798

    22 41119798

    23 41819798

    24 62619798 41979125 7319795

    26 71219795

    27 71819798 119794

    28 82319794

    29 101619792

    30 12121979

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    MonthssinceAliveatbeginningRejectionduringWithdrawnaliveor

    Entryintostudyofintervalintervallosttofollow-up

    nidiWi

    0upto23132

    2upto42632

    4upto621136upto91703

    9upto121402

    12upto151204

    15upto18811

    18upto21604

    21upto24202

    B.ActuarialCalculation

    MonthssinceProbabilityofProbabilityofCumulativeProbability

    entryintostudyrejectionordeathkidneyretentionofkidneyretention

    q d / [n ( /2)] p 1 q s pp p p

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    qi=di/[ni(w/2)]pi=1qisi=pipi-1pi-2.p1

    0upto23/[31(2/2)]=.10.90.90

    2upto43/[26(2/2)]=.12.88.79

    4upto61/[21(3/2)]=.05.95.75

    6upto90/[17(3/2)]=01.00.75

    9upto120/[14(2/2)]=01.00.75

    12upto150/[12(4/2)]=01.00.75

    15upto181/[8(1/2)]=.13.87.65

    18upto210/[6(4/2)]=01.00.65

    21upto240/[2(2/2)]=01.00.65

    Calculationforconfidencebandforactuarialcurve

    iii

    ii

    wdn

    qs

    21

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    Intervalqinidi wisi

    020.1031320.0037

    240.1226320.0055

    460.0521130.0027

    69017030

    912014020

    121501204015180.138110.0200

    182106040

    212402020

    iii 2


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