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    How to Appraise a Diagnostic Test?

    Dr. Cita Rosita Sigit Prakoeswa, dr, SpKK(K)Department of Dermato Venereology Dr Soetomo Hospital

    Faculty of Medicine, Airlangga University, SurabayaTropical Disease Center, Airlangga University, Surabaya

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    What is diagnosis ?

    Increase certainty aboutpresence/absence ofdisease

    Disease severity Monitor clinical course

    Assess prognosisrisk/stage within diagnosis

    Plan treatment Screening

    Epidemiology

    Knottnerus, BMJ 2002

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    By the end of this session,

    you should be able to.

    describe and illustrate key measures of

    diagnostic test performance

    represent diagnostic test performance in 2

    different ways

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    EBM Process

    Patient

    Encounter

    Formulating the

    Clinical Question

    Searching the

    Evidence

    Appraising the

    Evidence

    Diagnosis

    Therapy

    Prognosis

    Etiology

    Patient

    Intervention

    Comparison

    Outcome

    Hierarchy of evidence

    Pre appraised resources

    Drawing conclusion

    That impact on practice

    DOES

    POEM

    (Lang, 2000) 4

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    What should I do

    about this condition

    or problem?

    What causethe problem?

    Does this person

    have the condition

    or problem?

    Who will get

    the condition

    or problem?

    How common

    is the problem?

    What are the

    type of problem?

    INTERVENTION

    PROGNOSIS/RISK FACTORS

    DIAGNOSIS

    PROGNOSIS FACTORS

    FREQUENCY & RATE

    PHENOMENA / THOUGHTS

    CLINICALQUESTION

    5

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    ACQ Diagnosis (PICO)

    Patient /

    Problem /

    Population

    Intervention

    (Index)Comparison Outcome

    In an otherwise

    healthy 7-year-

    old boy with

    sore throat

    how does the

    clinical exam

    compare to

    throat culture

    in diagnosing

    GAS infection?

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    ResearcherInvolvement

    Longitudinal

    Cross-sectional

    ResearchGoal

    ResearchApproach

    Controlled?Randomized?

    ResearchFocus Clinical Manifestation / Diagnosis / Prognosis / Therapy / Review

    13 2 4

    7

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    Hierarchy of study designs

    8

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    Basic Principles (1)

    Ideal diagnostic testsright answers:

    (+) results in everyone with the disease and

    ( - ) results in everyone else

    Usual clinical practice:

    The test be studied in the same way it would

    be used in the clinical setting

    Observational study, and consists of: Predictor variable (test result)

    Outcome variable (presence / absence of the

    disease)

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    Basic Principles (2)

    Sensitivity, specificity

    Prevalence, prior probability, predictive values

    Likelihood ratios Dichotomous scale, cutoff points (continuous

    scale)

    Positive (true and false), negative (true & false) ROC (receiver operator characteristic) curve

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    What is the reason that there aremany parameters in diagnostic test?

    PrevalenceSensitivity (%)Specificity (%)LR+

    LR-PPV (%)NPV (%)Pre-test OddsPost-test OddsPre-test Probability (%)Post-test Probability (%)

    Disease

    (+)

    Disease

    (-)Total

    Test

    (+)

    True pos

    a

    False

    pos

    b

    a+b

    Test

    (-)

    False

    neg

    c

    True neg

    dc+d

    Total a+c b+d

    a+b+

    c+d

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    METHOD 1:

    NATURAL FREQUENCIES TREE

    Population

    1.000

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    IN EVERY 1.000 PEOPLE, 200 WILL HAVE THE DISEASE

    Disease +

    200

    Disease -

    800

    Population

    1.000

    If these 1000 people are representative of the population atrisk, the assessed rate of those with the disease (20%)

    represents the PREVALENCEof the diseaseit can also beconsidered the PRE-TEST PROBABILITY of having the disease

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    Sensitivity

    The proportion of people who truly

    have a designated disorder who are

    so identified by the test. Sensitive tests have few false

    negatives.

    When a test with a high Sensitivity isNegative, it effectively rules out the

    diagnosis of disease. SnNout

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    Disease +200

    Disease -800

    Test +190

    Test -10

    Population

    1.000

    In other words, thesensitivity is

    190/200=95%

    Test Alergi dengan Uji KulitSensitivitas 95 %, artinya:

    SnNout: bila hasil uji kulitnya (-): 95% out (dia bukan penderita alergi )

    Sensitivity

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    The proportion of people who are

    truly free of a designated disorder

    who are so identified by the test.

    Specific tests have few false positives

    When a test is highly specific, a

    positive result can rule inthe

    diagnosis. SpPin

    Specificity

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    Disease +

    200

    Disease -

    800

    Test +

    190

    Test -

    10

    Population1000

    Test Alergi dengan Uji KulitSpesifitas 96 % artinya:

    SpPin: bila hasil uji kulitnya (+): 96% in (dia penderita alergi)

    Test +

    32

    Test -

    768

    In other words, thespecificity is 768/800

    = 96%

    Specificity

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    CASESNON-CASES

    Sensitivity & Specificity

    Negative Positive

    Degree of positivity on test

    %o

    fGroup

    DISEASED

    NON-DISEASED

    Test cut-offFALSE

    NEGATIVES

    FALSEPOSITIVES

    Numeric? (complex)

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    Sensitivity & Specificity

    Sensitivity and Specificity are usuallyconsidered properties of the test ratherthan the setting, and are thereforeusually considered to remain constant.

    However, sensitivity and specificity are

    likely to be influenced by complexity ofdifferential diagnosesand a multitude ofother factors(cf spectrum bias).

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    Sensitivity & Specificity

    Positive & Negative Predictive Value

    For sensitivity and specificity, thereference variable (denominator) is theDISEASE

    For predictive value, the reference

    variable (denominator)is the TEST

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    POSITIVEPREDICTIVE

    VALUE = 190/222=86 %

    Disease +

    200

    Disease -

    800

    Test +

    32

    Test -

    768

    Test +

    190

    Test -

    10

    Population

    1000

    This is also the POST-

    TEST PROBABILITY ofhaving the disease

    Positive Predictive Value

    Test Alergi dengan Uji KulitPPV 86 % artinya bila hasil uji kulitnya (+): kemungkinan dia

    menderita alergi adalah 86%

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    Disease +

    200

    Disease -

    800

    Test +

    32

    Test -

    768

    Test +

    190

    Test -

    10

    Population

    1000

    Negative Predictive Value

    NEGATIVEPREDICTIVEVALUE = 768/778=99%

    Test Alergi dengan Uji KulitNPV 99 % artinya bila hasil uji kulitnya (-): kemungkinan dia

    tidak menderita alergi adalah 99 %

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    Positive & Negative

    Predictive Value

    The Positive Predictive Value of a testwill vary (according to the prevalenceof the condition in the chosen setting)

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    Predictive value & changing prevalence

    Disease +

    200

    Disease -

    9.800

    Population

    10.000

    Prevalence reduced by an orderof magnitude from 20% to 2%

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    Disease +

    200

    Disease -

    9.800

    Test +

    392

    Test -

    9.408

    Test +

    190

    Test -

    10

    Population

    10.000Sensitivity and

    Specificityunchanged

    Predictive value & changing prevalence

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    POSITIVE

    PREDICTIVEVALUE = 33%

    Positive predictive value

    at low prevalence

    Disease +

    200

    Disease -

    9.800

    Test +392

    Test -

    9.408

    Test +190

    Test -

    10

    Population

    10.000Previously, PPV

    was 86%

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    NEGATIVEPREDICTIVE

    VALUE >99%

    Disease +

    200

    Disease -

    9.800

    Test +

    392

    Test -

    9.408

    Test +

    190

    Test -

    10

    Population

    10.000Previously, NPV

    was 99%

    Negative predictive value

    at low prevalence

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    Prediction of low prevalence events

    Even highly specific tests, when applied

    to low prevalence events, yield a high

    number of false positive results

    Because of this, under such

    circumstances, the Positive Predictive

    Value of a test is low

    However, this has much less influence

    on the Negative Predictive Value

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    Likelihood Ratio

    Relative likelihood that a given test would be

    expected in a patient with (as opposed to one

    without) a disorder of interest.

    probability (%) of the test resu ltin patients without disease

    LR=probability (%) of a test resu ltin patients with disease

    http://eta.cche.net/usersguides/hg/calculators/c1C-2.asp?A=50&B=50&C=50&D=50&H=ONhttp://eta.cche.net/usersguides/hg/calculators/c1C-2.asp?A=50&B=50&C=50&D=50&H=ON
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    Likelihood

    The likelihood thatsomeone with thedisease will have apositive testis

    190/200 or 95%This is the same asthe sensitivity

    Disease +

    200

    Test +

    190

    Test -

    10

    Population

    1000

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    The likelihood thatsomeonewithoutthe disease willhave a positive testis 32/800 or 4%This is the same asthe (1-specificity)

    Disease -

    800

    Test +

    32

    Test -

    768

    Population

    1000

    Likelihood

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    LIKELIHOOD OF POSITIVE TESTIN THE ABSENCE OF THE DISEASE

    SENSITIVITY

    1- SPECIFICITY= = 23.8

    LIKELIHOOD OF POSITIVE TEST

    GIVEN THE DISEASE=LIKELIHOODRATIO (LR)

    A Likelihood Ratio (LR) of 1.0

    indicates an uninformative test (occurs when sensitivity and specificityare both 50%)

    The higher the Likelihood Ratiothe better the test (other factors being equal)

    0.95

    0.04=

    Test Alergi dengan Uji KulitLR+=23,8, artinya bila hasil uji kulitnya (+): hasil (+) ini dapat terjadi 23,8kali lebih besar terjadi pada penderita alergi dibandingkan dengan yang

    bukan penderita alergi

    Likelihood Ratio

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    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 0.2 0.4 0.6 0.8 1

    PRE-TEST PROBABILITY

    POST-TE

    A (90%)

    B (70%)

    C (50%)

    A : Sensitivity =Specificity = 0.9LR+ = 9.0

    B : Sensitivity =Specificity = 0.7LR+ = 3.0

    C : Sensitivity =

    Specificity = 0.5LR+ = 1.0

    P

    OST-TESTPROBA

    BILITY

    Sensitivity & Specificity; PositivePredictive Value; Prevalence & LR

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    DISEASE

    Yes No Total

    3 7Yesa b

    10a+b

    c dNo 1 89 90 c+d

    4 96 100

    TEST

    Total a+c b+d a+b+c+d

    METHOD 2:

    TRADITIONAL 2x2 TABLES

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    DISEASE

    Yes No Total

    3 7Yesa b

    10a+b

    c dNo 1 89 90 c+d

    4 96 100TEST

    Totala+c b+d a+b+c+d

    SENSITIVITY

    SENSITIVITY

    The proportion of people with the diagnosis(N=4) who are correctly identified (N=3)

    Sensitivity = a/(a+c) = 3/4 = 75%

    FALSENEGATIVES

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    DISEASE

    Yes No Total

    3 7Yesa b

    10a+b

    c dNo 1 89 90 c+d

    4 96 100TEST

    Totala+c b+d a+b+c+d

    SPECIFICITY

    SPECIFICITY

    The proportion of people without the diagnosis(N=96) who are correctly identified (N=89)

    Specificity = d/(b+d) = 89/96 = 93%

    FALSEPOSITIVES

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    DISEASE

    Yes No Total

    3 7Yes a b

    10 a

    +b

    c dNo 1 89 90 c+d

    4 96 100TEST

    Totala+c b+d a+b+c+d

    PRE-TEST ODDS

    In the sample as a whole, the odds of having thedisease are 4 to 96 or 4% (the PRE-TEST ODDS)

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    DISEASE

    Yes No Total

    3 7Yesa b

    10a+b

    c dNo 1 89 90 c+d

    4 96 100TEST

    Totala+c b+d a+b+c+d

    POST-TEST ODDS

    In those who score positive on the test, the odds of havingthe disease are 3 to 7 or 43% (the POST-TEST ODDS)

    In the sample as a whole, the odds of having the diseaseare 4 to 96 or 4% (the PRE-TEST ODDS)

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    DISEASEYes No Total

    3 7Yesa b

    10a+b

    c d

    No 1 89 90 c+d

    4 96 100TES

    T

    Totala+c b+d a+b+c+d

    POST-TEST ODDS

    In those who score positive on the test, the odds of havingthe disease are 3 to 7 or 43% (the POST-TEST ODDS)

    In the sample as a whole, the odds of having the disease

    are 4 to 96 or 4% (the PRE-TEST ODDS)

    In those who score negative on the test, the odds of having

    the disease are 1 to 89 or approximately 1%

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    BAYES THEOREM

    POST-TEST ODDS =

    LIKELIHOOD RATIO x PRE-TEST ODDS

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    LIKELIHOOD RATIO AND PRE-

    AND POST-TEST PROBABILITIES

    For a given test with a givenlikelihood ratio, the post-

    test probability will dependon the pre-test probability(that is, the prevalence ofthe condition in the sample

    being assessed)

    SENSITIVITY ANALYSIS OF

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    SENSITIVITY ANALYSIS OF

    A DIAGNOSTIC TEST

    Value 95% CI

    Pre-testprobability

    35% 26% to 44%

    SENSITIVITY ANALYSIS OF

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    Applying the 95% confidence

    intervals above to the nomogram,the post-test probability is likely to

    lie in the range 55-85%

    Value 95% CI

    Pre-testprobability

    35% 26% to 44%

    Likelihoodratio

    5.0 3.0 to 8.5

    SENSITIVITY ANALYSIS OF

    A DIAGNOSTIC TEST

    The diagonal line (representing Sensitivity=0.5

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    RECEIVER OPERATING CHARACTERISTIC CURVE

    Overall shape ispredicted by thereciprocal relationshipbetween sensitivity andspecificity

    The closer the curve getsto Sensitivity=1 andSpecificity=1, the betterthe overall performanceof the test

    g ( p g yand Specificity=0.5) represents performance nobetter than chance

    Hence the area under thecurve gives a measure ofthe tests performance

    FALSE POSITIVE RATE (1-Specificity)

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    0

    100

    1-Specificity

    Sensitivit

    y

    AREA UNDER ROC CURVES

    0

    100

    1-Specificity

    S

    ensitivity

    Sensitivity and specificity both100% - TEST PERFECT

    Sensitivity and specificity both50% - TEST USELESS

    AREA=1.0

    AREA=0.5The area under a ROCcurve will be between0.5 and 1.0

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    0

    100

    1-Specificity

    Sensitivity

    Area = 0.7 (between0.5 and 1.0)

    Consider (hypothetically) two patients drawn

    randomly from the DISEASE+ and DISEASE- groupsrespectively

    If the test is used to guess which patient is from theDISEASE+ group, it will be right 70% of the time

    AREA UNDER ROC CURVES

    APPLYING A DIAGNOSTIC TEST

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    APPLYING A DIAGNOSTIC TEST

    IN DIFFERENT SETTINGS

    The Positive Predictive Value of a test will vary

    (according to the prevalence of the condition in

    the chosen setting)

    Sensitivity and Specificity are usually consideredproperties of the testrather than the sett ing, and

    are therefore usually considered to remain

    constant

    However, sensitivity and specificity are likely to

    be influenced by complexity of differential

    diagnoses and a multitude of other factors (cf

    spectrum bias)

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    Diagnosis test & clinical setting

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    Diagnosis test & clinical setting

    Diagnosis test & clinical setting

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    Diagnosis test & clinical setting

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    Interpreting Diagnostic Studies

    VIA - RaMMbo

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    Validity

    Selection? VALIDITYQUESTION

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    Participants

    Index group (IG) &Gold standard

    Comparison Group (CG)

    Outcome

    IG

    C

    G

    +- DC

    + -BA

    Representative?

    VALIDITY

    Reproducible

    Maintain?

    Measurementsblind subjective? OR

    objective?

    QUESTION:

    Di ti A St d

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    Diagnostic Accuracy Study:Basic Design

    Series of patients

    Index test

    Reference standard

    Blinded cross-classification

    Recruitment:

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    Recruitment:Was diagnostic test evaluated is representative

    spectrum of patient?

    Series of patients

    Index test

    Reference standard

    Blinded cross-classification

    Maintenance:

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    Maintenance:Was the endpoint of the reference standard

    obtained for all subjects?

    Series of patients

    Index test

    Reference standard

    Blinded cross-classification

    Measurement:

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    Measurement:Were the assesors kept blind to the results of eachtest and/or were the reference standard endpoint

    objective

    Series of patients

    Index test

    Reference standard

    Blinded cross-classification

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    Selected Patients

    Index test

    Reference standard

    Blinded cross-classification

    Spectrum Bias

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    Series of patients

    Index test

    Reference standard

    Blinded cross-classification

    Verification Bias

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    Series of patients

    Index test

    Blinded cross-classification

    Ref. Std A Ref. Std. B

    Differential Reference Bias

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    Series of patients

    Index test

    Reference standard

    Unblinded cross-classification

    Observer Bias

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    Importance

    What should I do

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    INTERVENTION

    ETIOLOGY/RISK FACTORS

    DIAGNOSIS

    PROGNOSIS & PREDICTION

    FREQUENCY & RATE

    PHENOMENA / THOUGHTS

    I

    M

    P

    O

    RT

    A

    NC

    E

    about this condition

    or problem?

    What causethe problem?

    Does this person

    have the condition

    or problem?

    Who will get

    the condition

    or problem?

    How commonis the problem?

    What are the

    type of problem?66

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    CLINICAL TRIAL

    PROGNOSIS

    DIAGNOSTIC

    RRR, ARR, NNT

    p & CI

    Survival curve

    RR / ORp & CI

    Sn,Sp,LH,PPV,NPV

    p & CI

    I

    M

    P

    O

    RT

    A

    NC

    E 67

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    Applicability

    PICO & Applicability

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    PICO & Applicability

    Your question

    (PICO)

    Study What do theResult mean?

    How well was

    study done?

    Validity

    Importance

    Applicability

    69

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    Diagnostic tests

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    Diagnostic tests

    Is not about finding absolute truth, butabout limiting uncertainty

    establishes both the necessity and the

    logical base for introducing probabilities,pragmatic test-treatment thresholds ..

    Start thinking about

    what youre going to do with the results of thediagnostic test, and

    whether doing the test will help your patients

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    CRITICALAPPRAISALDIAGNOSTICTEST

    Critical appraisal diagnostic test

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    Critical appraisal diagnostic test

    Use worksheet (VIA; RAMMbo)

    STARD

    Use supporting softwares CAT Maker

    http://localhost/var/www/apps/Local%20Settings/Temp/catmaker/CATMAKER.EXEhttp://localhost/var/www/apps/Local%20Settings/Temp/catmaker/CATMAKER.EXE
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    Validity (1)

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    y ( )Apakah penelitian uji diagnostik dilakukan secara tersamar dengan baku

    emas yang benar ?

    Validity (2)Apakah uji diagnostik dilakukan terhadap pasien dengan spektrum

    penyakit atau kelainan yang memadai sehingga dapat diterapkan dalampraktek sehari-hari?

    Validity (3)Apakah pemeriksaan dengan baku emas dilakukan tanpa memandanghasil pemeriksaan dengan uji diagnostik ?

    Important

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    pBerapa Sn, Sp, LR+, LR-, PPV, NPV, Pre-test probability, Post-test

    probability, Pre-test Odds, Post-test Odds ?

    Applicable (1)

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    Applicable (1)Apakah uji diagnostik tersebut tersedia, terjangkau dan akurat?

    Applicable (2)Apakah kita bisa memperkirakan pre-test probability (prevalens)penyakit pada pasien kita ?

    Applicable (3)Apakah post-test probability yang dihitung akan mengubah tatalaksana

    pasien kita?

    Applicable (4)Apakah secara keseluruhan uji diagnostik tersebut bermanfaat bagi

    pasien ?

    STARD initiative (25 items)

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    Section and and

    topic

    Title, abstract, and

    keywords

    Introduction

    Methods

    Participants

    Test methods

    Statistical methods

    Results Participants

    Test results

    Estimates

    Discussions

    STARD initiative (25 items)Standards for Reporting of Diagnostic Accuracy

    Bossuyt PM, Reitsma JB, Bruns, DE, Gatsonis CA, Glasziou PP et al. BMJ 2003,326:41-6

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    1stcomponent of STARD

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    2nd component of STARD

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    Does early diagnosis really lead to improvedsurvival, or quality of life, or both?

    Are the early diagnosed patients willing partners inthe treatment strategy?

    Is the time and energy it will take us to confirm thediagnosis and provide (lifelong) care well spent?

    Do the frequency and severity of the target disorderwarrant this degree of effort and expenditure?

    Guides for deciding whether a screening or

    early diagnostic maneuver does more goodthan harm: