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 MRCPsych 2010




 A. Critical Appraisal of Diagnostic Tests
                 Studies of Accuracy, Validity, Screening & Case finding




  Alex J Mitchell
  Consultant in Liaison Psychiatry
  University of Leicester
1. Importance of understanding diagnostic tests


1.   Importance of diagnostic tests
2.   Concept of diagnostic tests: traits to diseases
3.   Statistics of diagnostic tests
4.   Clinical Value of diagnostic tests
5.   Worked examples
6.   Advances techniques
What Is a Diagnostic Test in Psychiatry?
MRCPsych 2010



•   CT/MRI
•   CSF
•   Blood tests eg TFTs
•   SCAN/SCID/PSE/MINI
•   Neuropsychological Testing
•   MMSE
•   HADS/BDI/CESD?
•   Clinical Judgement
•   Self-report
Why Is a HADS score not a diagnosis?
MRCPsych 2010




      1. No core features
      2. No symptom ranking
      3. No functional assessment
      4. Duration unclear
      5. What if Missing items?
      6. Imprecise
Defining Diagnostic Testing
MRCPsych 2010



INTENTION
• Screening
     – The systematic application of a test or inquiry, to identify
       individuals at sufficient risk of a specific disorder to warrant
       further actions among those who have not sought medical help
       for that disorder
• Case-Finding
     – The selected application of a test or inquiry, to identify
       individuals with a suspected disorder and exclude those without
       a disorder, usually in those who have sought medical help for
       that disorder

Adapted from Department of Health. Annual report of the national screening committee.
   London: DoH, 1997.
Defining Diagnostic Testing
MRCPsych 2010




PRACTICAL
• Screening
     – Rule out those without the disorder with high accuracy
       (high NPV)
• Case-Finding
     – Rule in those with the disorder with high accuracy
       (high PPV)
Defining Diagnostic Testing
MRCPsych 2010



APPLICATION
• Routine Screening
     – The systematic application of a test or inquiry, to all individuals
       who may have (or who have not sought medical help for that
       disorder)

• Targeted (High Risk)
     – The highly selected application of a test or inquiry, to identify
       individuals at high risk of a specific disorder by virtue of known
       risk factors



Adapted from Department of Health. Annual report of the national screening committee.
   London: DoH, 1997.
Defining Diagnostic Testing
MRCPsych 2010



COMPARATOR

• Accuracy (aka convergent validity)
     – The degree of approximation (veracity) to a robust comparator

• Validity (aka criterion validity)
     – The degree of approximation (veracity) to a criterion reference

• Precision
     – The degree of predictability (low SD) in the measure
Aims of Detection
MRCPsych 2010




 • Screening:
      – Short; Easy; some false +ve (low SpS PPV), few false
        –ve (High Sens, NPV)


 • Diagnosis (case-finding)
      – Accurate, Few false +ve or –ve


 • Rating
      – Simple, patient rated, correl. With QoL and other
        outcomes
UK National Screening Committee Guidelines
MRCPsych 2010


•   The condition should:                                 •   The screening program should:
•   • Be an important health issue                        •   • Show evidence that benefits of screening
•   • Have a well-understood history, with a detectable       outweighing risks
    risk factor or disease marker                         •   • Be acceptable to public and professionals
•   • Have cost-effective primary preventions             •   • Be cost effective (and have ongoing evaluation)
    implemented.                                          •   • Have quality-assurance strategies in place.
                                                          •   Adapted from: UK National Screening Committee
•   The screening tool should:                                Criteria for appraising the viability, effectiveness and
•   • Be a valid tool with known cut-off                      appropriateness of a screening programme
•   • Be acceptable to the public
•   • Have agreed diagnostic procedures.                  •   http://www.nsc.nhs.uk/pdfs/criteria.pdf

•   The treatment should:
•   • Be effective, with evidence of benefits of early
    intervention
•   • Have adequate resources
•   • Have appropriate policies as to who should be
    treated.
Development of Diagnostic Tests
   MRCPsych 2010




Stage          Type                  Purpose                                   Description
Pre-clinical   Development           Development of the proposed tool or       Here the aim is to develop a screening method that is likely to help in the detection of the
                                     test                                      underlying disorder, either in a specific setting or in all setting. Issues of acceptability of the
                                                                               tool to both patients and staff must be considered in order for implementation to be
                                                                               successful.
Phase          Diagnostic validity   Early diagnostic validity testing in a    The aim is to evaluate the early design of the screening method against a known (ideally
I_screen                             selected sample and refinement of tool    accurate) standard known as the criterion reference. In early testing the tool may be
                                                                               refined, selecting most useful aspects and deleting redundant aspects in order to make the
                                                                               tool as efficient (brief) as possible whilst retaining its value.
Phase          Diagnostic validity   Diagnostic validity in a representative   The aim is to assess the refined tool against a criterion (gold standard) in a real world
II_screen                            sample                                    sample where the comparator subjects may comprise several competing condition which
                                                                               may otherwise cause difficulty regarding differential diagnosis.
Phase          Implementation        Screening RCT; clinicians using vs not    This is an important step in which the tool is evaluated clinically in one group with access
III_screen                           using a screening tool                    to the new method compared to a second group (ideally selected in a randomized fashion)
                                                                               who make assessments without the tool.
Phase          Implementation        Screening implementation studies using    In this last step the screening tool /method is introduced clinically but monitored to discover
IV_screen                            real-world outcomes                       the effect on important patient outcomes such as new identifications, new cases treated
                                                                               and new cases entering remission.


                                                         Citation: Mitchell AJ. Screening for depression in clinical practice: evidence based approach
2. Concepts of Diagnostic Tests:
     Trait / Syndrome / Disease
Graphical – Screening principles
MRCPsych 2010

 #
 of
 Individuals




                Non-Depressed
                                      Severity of Depression


                                Depressed


 #
 of
 Individuals
Graphical – Screening principles
MRCPsych 2010

 #
 of                              Cut-Off
 Individuals
                                Low     High




                Non-Depressed
                                <<<< high Specificity
                                                     Severity of Depression


                High Sensitivity >>>>          Depressed


 #
 of
 Individuals
Graphical – Screening principles
MRCPsych 2010

 #
 of                             Cut-Off
 Individuals
                                Low     High




                Non-Depressed
                                               <<<< low Specificity
                                                      Severity of Depression


                High Sensitivity >>>>           Depressed


 #
 of
 Individuals
Graphical – Definition of NPV
MRCPsych 2010



                                  Cut-Off
                                 Low   High




                                                  True +ve / ALL +ve = PPV




                Non-Depressed
                            True -ve

                                       True +ve
                                                  Depressed


                False alarms
Graphical – Definition of PPV
MRCPsych 2010
     True –VE / ALL -ve = NPV


                                             Cut-Off
                                            Low   High




                           Non-Depressed
                                       True -ve

                                                  True +ve
                                                             Depressed


                            Missed cases
Theory of Diagnostic Tests
MRCPsych 2010



                                      Cut-off value

                Non-Depressed



                                                      Depressed
 #
 of
 Individuals              True -ve



                                               True +ve



                          False -ve             False +ve




                                                                  Test
                                                                  Result
Low Prevalence (Se Sp = same)
MRCPsych 2010



                                      Cut-off value

                Non-Depressed



                                                      Mj Depression
 #
 of
 Individuals




                          False –ve             False +ve
                           SMALL                 LARGE


                                                                      Test
                                                                      Result
High Prevalence (Se Sp = same)
MRCPsych 2010



                                      Cut-off value

                Non-Depressed                    Mj+Mn Depression



 #
 of
 Individuals




                          False –ve             False +ve
                           LARGE                 SMALL


                                                                    Test
                                                                    Result
Can This Help establish a syndrome?
Example: A Clear Disease                                                        [#1]
                                                Point of Partial Rarity

        Number
        of
        Individuals




                                                                          No Disorder




                                 True ‐ve
                                 True ‐ve

                                                       True +ve
                                                       True +ve
                      Disorder




                                    False +ve
                                    False +ve            False ‐ve
                                                         False ‐ve


    Test Result
Example: A Probable Syndrome
   [#2]
        Number
        of
        Individuals




                                                                            No Disorder




                                      True ‐ve
                                      True ‐ve

                                                                 True +ve
                                                                 True +ve
                           Disorder




                                         False +ve
                                         False +ve   False ‐ve
                                                     False ‐ve


    MMSE Cognitive Score
Example: A Normally Distributed Trait
[#3]
         Number
         of
         Individuals




                                                                         No Disorder




                                       True ‐ve
                                       True ‐ve

                                                                  True +ve
                                                                  True +ve
                            Disorder




                                          False +ve
                                          False +ve   False ‐ve
                                                      False ‐ve


     MMSE Cognitive Score
MRCPsych 2010




Example: Dementia

                Disease?
                Syndrome?
                Trait?
Hubbert et al (2005) BMC Geriatrics
MRCPsych 2010



                MMSE scores for dementia (n=72)
                and non-dementia (n=2735)

                Huppert et al BMC Geriatrc 2005
MRCPsych 2010




Example: Depression

                Disease
                Syndrome
                Trait
0
                    500
                          1000
                                 1500
                                        2000
                                               2500
                                                      3000
      Ze
        ro

       O
        ne                                              MRCPsych 2010

       Tw
         o
     Th
       re
         e

       Fo
         ur

       Fi
         ve

         Si
           x
     Se
       ve
         n

      ei
        gh
          t
       N
        in
          e

        Te
          n
    El
       ev
           en
   Tw
        el
           ve
  Th
     irt
         ee
            n
 Fo
    ur
        te
           en
    Fi
       fte
           en
                                                                        Thompson et al (2001) n=18,414




   Si
     xt
         ee
Se          n
  ve
     nt
         ee
            n
 Ei
   gh
        te
           en
Mitchell, Coyne et al (2008)
      MRCPsych 2010
110


100                                                                   Scores on the CES-D during Pregnancy, 3 and 12 months Post-partum in 947 Women


 90


 80



 70


 60

                                                                                                                         Early Pregnancy
 50                                                                                                                      3months Post-Partum
                                                                                                                         12months Post-Partum
 40



 30


 20


 10


  0



       Healthy        Depressive Symptoms   Mild Depression   Moderate to Severe Depression
PHQ9 Linear distribution

35 MRCPsych 2010



30

                                                                                          PHQ9 (Major Depression)
25                                                                                        PHQ9 (Minor Depression)
                                                                                          PHQ9 (Non-Depressed)


20



15



10



5



0


                                                                                    ve




                                                                                                                               n
                                                                           en
                                                  n
   ro




                                                              e
                        e
                o




                                   ve




                                                                                              n

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                                                                     n
                              ur




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         ne




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                                                        t




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                                                      gh




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              Tw


                      re




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                                                               n




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                                        Si




                                                                                                                   ee
 Ze




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                                                                                     Th




                                                                                                                Si
                                                                                              Fo




                                                                                                                      Ei
                                                                                                                     Se
                                                                         Baker-Glen, Mitchell et al (2008)
3. Statistics of Diagnostic Tests: 2x2s
Accuracy 2x2 Table                                   Reference Standard
                                                      Disorder Present
                                                                          Reference Standard
                                                                             No Disorder


MRCPsych 2010
                                             Test                                              A/A + B
                                             +ve             A                    B            PPV


                Depression    Depression     Test
                                             -ve             C                    D
                                                                                               D/C + D
                                                                                               NPV


                PRESENT       ABSENT         Total       A/ A + C             D/ B + D
                                                            Sn                   Sp




     Test +ve   True +ve      False +ve     PPV



     Test -ve   False -Ve     True -Ve      NPV



                Sensitivity   Specificity   Prevalence
Accuracy 2x2 Table
MRCPsych 2010



                Depression    Depression
                PRESENT       ABSENT

     Test +ve   TP            FP            PPV



     Test -ve   FN            TN            NPV



                Sensitivity   Specificity   Prevalence
Basic Measures of Accuracy
MRCPsych 2010



•   Sensitivity (Se)                a/(a + c)          TP / (TP + FN)

•   A measure of accuracy defined the proportion of patients with disease in whom
    the test result is positive: a/(a + c)

•   Specificity (Sp)                 d/(b + d)        TN / (TN + FP)
•   A measure of accuracy defined as the proportion of patients without disease in
    whom the test result is negative

•   Positive Predictive Value         a/(a+b)            TP / (TP + FP)
•   A measure of rule-in accuracy defined as the proportion of true positives in
    those that screen positive screening result, as follows

•   Negative Predictive Value        c/(c+d)             TN / (TN + FN)
•   A measure of rule-out accuracy defined as the proportion of true negatives in
    those that screen negative screening result, as follows
Accuracy in words
MRCPsych 2010

•   Sensitivity
     – The chance of testing positive among those with the condition
     – The chance of rejecting the null hypothesis among those that do not satisfy the null hypothesis
•   Specificity
     – The chance of testing negative among those without the condition
     – The chance of accepting the null hypothesis among those that satisfy the null hypothesis
•   Positive Predictive Value
     – The chance of having the condition among those that test positive
     – The chance of not satisfying the null hypothesis among those that reject the null hypothesis
•   Negative Predictive Value
     – The chance of not having the condition among those that test negative
     – The chance of satisfying the null hypothesis among those that accept the null hypothesis
•   Type I Error or α (alpha) or p-Value or false positive rate
     – The chance of testing positive among those without the condition
     – The chance of rejecting the null hypothesis among those that satisfy the null hypothesis
•   Type II Error or β (beta) or false negative rate
     – The chance of testing negative among those with the condition
     – The chance of accepting the null hypothesis among those that do not satisfy the null hypothesis
•   False Discovery Rate or q-Value
     – The chance of not having the condition among those that test positive
     – The chance of satisfying the null hypothesis among those that reject the null hypothesis
•   False Omission Rate
     – The chance of having the condition among those that test negative
     – The chance of not satisfying the null hypothesis among those that accept the null hypothesis
Rule-in Accuracy
MRCPsych 2010



                Depression        Depression
                PRESENT           ABSENT


     Test +ve   True +ve          False +ve        PPV
                                  (type I error)   (discrimination)



     Test -ve   False –Ve         True -Ve         NPV

                (type II error)

                Sensitivity       Specificity      Prevalence
                (occurrence)
Rule-Out Accuracy
MRCPsych 2010



                Depression        Depression
                PRESENT           ABSENT

     Test +ve   True +ve          False +ve      PPV



     Test -ve   False –Ve         True -Ve       NPV
                (type II error)                  (discrimination)


                Sensitivity       Specificity    Prevalence
                                  (occurrence)
Likelihood Ratios
MRCPsych 2010

Likelihood Ratio for Positive Tests
The chance of testing positive among those with
    the condition; divided by the chance of testing
    positive among those without the condition
Sensitivity / (1 - Specificity)
[ TP / (TP + FN) ] / [ FP / (FP + TN) ]

= PPV / Prevalence

Likelihood Ratio for Negative Tests
The chance of testing negative among those with
    the condition; divided by the chance of testing
    negative among those without the condition
Specificity / (1 – Sensitivity)
[ FN / (FN + TP) ] / [ TN / (TN + FP) ]

= NPV / Prevalence
Summary Measures
MRCPsych 2010



• Youden's J
   – Sensitivity + Specificity – 1

• Predictive Summary Index
   – PPV + NPV – 1

• Overall accuracy (fraction correct)
  – TP+TN / TP+FP+TN+FN
Reciprocal Measures
MRCPsych 2010



• Number Needed to Diagnose (NND)
   – 1 / (Youden's J)

• Number Needed to Predict (NNP)
   – 1 / (PSI)

• Number Needed to Screen (NNS)
   – 1/(FC-FiC)
Receiver Operating Characteristic




Murphy JM, Berwick DM, Weinstein MC, Borus JF, Budman SH, Klerman GL 1987 : Performance of screening and diagnostic tests:
Application of Receiver Operating Characteristic ROC analysis. Arch Gen Psychiatry 44:550-555
Accuracy 2x2 Table
MRCPsych 2010



                Depression   Depression
                PRESENT      ABSENT


     Test +ve   True +ve     False +ve    PPV



     Test -ve   False -Ve    True -Ve     NPV



                Sensitivity Specificity Prevalence
Test vs Major Depression
 MRCPsych 2010



                 Depression    Depression
                 PRESENT       ABSENT
Test +ve         500           1500           2000
                                                                PPV 25%


Test -ve         500           4500           5000
                                                                NPV 90%


                 1000          6000           7000


                 Sensitivity    Specificity
                                               Prevalence 14%
                 50%            75%
Test vs Major + Min Depression
 MRCPsych 2010



                 Depression    Depression
                 PRESENT       ABSENT
Test +ve         500           1500           2000
                                                                PPV 25%


Test -ve         500           500            1000
                                                                NPV 50%


                 1000          2000           3000


                 Sensitivity    Specificity
                                               Prevalence 33%
                 50%            33%
4. Clinical Value of Diagnostic Tests
Added Value
MRCPsych 2010



• Definition 1:
     – The additional ability of a test to rule-in or rule-out
       compared with the baseline rate
     – PPV minus Prevalence
     – NPV minus prevalence


• Definition 2:
     – The additional of a test to rule-in or rule-out compared
       with the unassisted rate
     – PPV test minus PPV no test (assuming equal prevalence)
     – LR+ test minus LR+ no test
     – AUC test minus AUC no test
0.00
                                                                                                             0.10
                                                                                                                    0.20
                                                                                                                           0.30
                                                                                                                                  0.40
                                                                                                                                         0.50
                                                                                                                                                0.60
                                                                                                                                                       0.70
                                                                                                                                                                                         0.80
                                                                                                                                                                                                                                      0.90
                                                                                                                                                                                                                                             1.00
                                                                                     Loss of energy


                                                                                  Diminished drive


                                                                                  Sleep disturbance
                                                                                                                                                                                                                                                    MRCPsych 2010

                                                                          Concentration/indecision


                                                                                   Depressed mood


                                                                                            Anxiety


                                                                          Diminished concentration


                                                                                          Insomnia


                                                                       Diminished interest/pleasure


                                                                                    Psychic anxiety


                                                                                       Helplessness


                                                                                     Worthlessness


                                                                                      Hopelessness


                                                                                   Somatic anxiety


                                                                                 Thoughts of death


                                                                                             Anger


                                                                                    Excessive guilt


                                                                               Psychomotor change


                                                                                     Indecisiveness


                                                                                Decreased appetite


                                                                             Psychomotor agitation


                                                                           Psychomotor retardation


                                                                                  Decreased weight


                                                                             Lack of reactive mood


                                                                                 Increased appetite
                                                                                                                                                                                                                All Case Proportion




                                                                                      Hypersomnia
                                                                                                                                                                                         Depressed Proportion
                                                                                                                                                              Non-Depressed Proportion




                                                                                  Increased weight
Mitchell, Zimmerman et al MIDAS Database. Psychol Med 2007 Submitted
-0.10
                                                   0.00
                                                          0.10
                                                                 0.20
                                                                        0.30
                                                                               0.40
                                                                                                                                                                  0.50
                                      A nge
                                           r

                                  A nxie
                                        ty
             Decr
                 ea s e
                       d app
                            eti te
                                                                                      MRCPsych 2010
                  Decr
                      eas e
                           d      weig
                                       ht

                    Depr
                        es sed
                                      m ood
   Dimin
             is hed
                       c onc
                               entr a
                                     t io   n

                    Dimin
                         is hed
                                       dr ive
Dimin
        is hed
                  int er
                        est /p
                               leasu
                                    re

                      Exc e
                           ss ive
                                       guilt


                            Help
                                 less n
                                       ess

                            Hope
                                 le   s snes
                                               s

                            Hy pe
                                 rsom
                                     ni     a
                 Inc re
                        a   sed a
                                  ppet
                                       ite

                   Inc re
                         a   sed w
                                      eight

                      Indec
                            isiv      enes
                                          s

                                Ins om
                                       nia
         L ac k
                   of re
                        act iv
                              e mo
                                   od

                      L os s
                               of en
                                       erg y

                     Ps ych
                           i   c a nx
                                        iety
        Ps ych
              o     mot o
                          r    agi ta
                                        tion
           Ps ych
                  o    mot o
                             r    c han
                                       ge
   Ps ych
         o       mot o
                       r    ret ar
                                  da   tion

                  Sl eep
                             dis tu
                                   rban
                                       ce

                     Soma
                          ti c a
                                 nx iet
                                       y
                                                                                                                                 Rule-In Added Value (PPV-Prev)




                  Thou
                       g hts
                                                                                               Rule-Out Added Value (NPV-Prev)




                             of de
                                  ath

                       Wor t
                            hles s
                                  ness
Accuracy of Tests: Visual Post-test Probabilities
  MRCPsych 2010


                Very unlikely           unlikely       likely    Very likely
                                                                                             Overall
                                       10% - (22) -50% = 54%
CIDI (computer) Any Depression
                                                                                            PHQ-2
                                       3% - (16) - 32% = 29%          Henckel et al (2004) Eur Arch Psychiatry Clin Neurosci


CIDI (computer) Any Depression

                                                                                            WHO5 (1+3)
                                       3% - (16) - 32% = 29%          Henckel et al (2004) Eur Arch Psychiatry Clin Neurosci
CIDI (computer) Mj Depression

                                                                                            1 Question
                                       3% - (37) - 63% = 60%                               Arroll B et al (2003) BMJ
CIDI (computer) Mj Depression
                                                                                            2 Questions
                                 25%                            75%
                  0%                   32% - (37) - 96% = 64%                           100%
1.00

MRCPsych 2010Post-test Probability

  0.90



  0.80



  0.70



  0.60



  0.50



  0.40


                                                                         Clinician Positive (Fallowfield et al, 2001)
  0.30                                                                   Clinician Negative (Fallowfield et al, 2001)

                                                                         Baseline Probability

  0.20                                                                   HADS-D Positive (Mata-analysis)

                                                                         HADS-D Negative (Meta-analysis)

  0.10


                                                                                                    Pre-test Probability
  0.00
         0                           0.1   0.2   0.3   0.4   0.5   0.6   0.7              0.8              0.9             1
1.00




                Post-test Probability
                                              Depression Present (Routine)

     0.90                                     Depression Absent (Routine)
  MRCPsych 2010
                                              Depression Scales +ve (Median)

     0.80                                     Depression Scales -ve (Median)

                                              Prior Probability
     0.70



     0.60



     0.50


PPV=0.41
    0.40



     0.30



     0.20



     0.10

NPV=0. 97                                                                                                        Pre-test Probability
     0.00
            0                           0.1                0.2               0.3   0.4   0.5   0.6   0.7   0.8        0.9               1




                                         Prevalence of 0.15
5. Worked Examples of diagnostic tests
PostStroke Mj Depression vs NonMj
MRCPsych 2010




• Clinicians diagnosis using DSMIV vs SCAN/PSE


     – 50 people with major depression

     – 150 healthy people

     – 50 with subsyndromal depression
Clinicians using DSMIV
MRCPsych 2010



• IF: Clinicians diagnosed 50 cases with Mj depression
• IF: Their specificity was 95%

•   Q. What was the sensitivity?
•   Q. What was the prevalence?
•   Q. What was the PPV?
•   Q. What was the % correctly identified per every 100
    screened?
Test vs Major Depression
 MRCPsych 2010



                 Depression    Depression
                 On SCAN       ABSENT
Test +ve         ??                           50
(Clinician)                                                     PPV ??%


Test -ve         ??
                                                                NPV ??%


                 50            200


                 Sensitivity    Specificity
                                               Prevalence ??%
                 50%            95%
Test vs Major Depression
 MRCPsych 2010



                 Depression    Depression
                 On SCAN       ABSENT
Test +ve         40            10             50
(Clinician)                                                     PPV 80%


Test -ve         10            190            200
                                                                NPV 95%


                 50            200


                 Sensitivity    Specificity
                                               Prevalence 20%
                 80%            95%
6. Advanced Techniques


       sROC
       Real World Numbers
       NND; NNS
       Bivariate meta-analysis
       Economics
1.00



MRCPsych 2010                                                               ROC Plot
           0.90
                                            Low Mood
        Sensitivity



                      0.80           DSMIV


                      0.70
                                    Low mood &
                                    loss interest
                      0.60




                      0.50




                      0.40




                      0.30




                      0.20




                      0.10




                      0.00
                             0.00    0.10       0.20   0.30   0.40   0.50   0.60       0.70   0.80       0.90   1.00

                                                                                              1 - Specifity
MRCPsych 2010
Bivariate Diagnostic meta-analysis
MRCPsych 2010
Further Reading
MRCPsych 2010


•   David A Grimes, Kenneth F Schulz Uses and abuses of screening tests Lancet
    2002; 359: 881–84

•   Jonathan J Deeks, Douglas G Altman Diagnostic tests 4: likelihood ratios BMJ
    VOLUME 329 17 JULY 2004

•   Patrick M Bossuyt, Les Irwig, Jonathan Craig and Paul Glasziou Comparative
    accuracy: assessing new tests against existing diagnostic pathways. BMJ
•   2006;332;1089-1092

•   Reitsma JB et al Bivariate analysis of sensitivity and specificity produces
    informative summary measures in diagnostic reviews. Journal of Clinical
    Epidemiology 58 (2005) 982–990
MRCPsych Teaching 2010
 MRCPsych 2010




    B. Critical Appraisal of Prognostic Tests
                 Risk, predictors, measuring outcomes




  Alex J Mitchell
  Consultant in Liaison Psychiatry
  University of Leicester
Measuring Risk
MRCPsych 2010




Risk
     – the probability of some untoward event
          •e.g., disease, death


Risk Factor
     – characteristics or behaviours associated with an
       increased risk of becoming diseased
Healthy

                                             Healthy
       Healthy
      With SMC
                    MCI
                 With SMC



                                               FTD


                                  Dementia     VaD


                                             AD
                            LBD
                                   Mixed
Modelling Progression on MCI-Dementia
  MRCPsych 2010
 Disease Severity



                      Healthy




                                                                       MMSE
                                                                  30



                         MCI

                                                                  23v24


                Mild Dementia


                                                                  20v21

Moderate Dementia

                                                                  11v12

    Severe Dementia

                                                                  0

                                   T0           T4   T+8   T+12

                                Time in Years
Modelling Progression on MCI-Dementia
  MRCPsych 2010
 Disease Severity



                      Healthy




                                                                       MMSE
                                                                  30



                         MCI

                                                                  23v24


                Mild Dementia


                                                                  20v21

Moderate Dementia

                                                                  11v12

    Severe Dementia

                                                                  0

                                   T0           T4   T+8   T+12

                                Time in Years
Modelling Progression on MCI-Dementia
  MRCPsych 2010
 Disease Severity



                      Healthy




                                                                                           MMSE
                                                                                      30



                         MCI                           MCI-Progressive
                                                        Moderate Risk
                                                                                      23v24


                Mild Dementia

                                                 MCI-Progressive                      20v21
                                                   High Risk
Moderate Dementia

                                                                                      11v12

    Severe Dementia

                                                                                      0

                                   T0           T4                       T+8   T+12

                                Time in Years
Accuracy 2x2 Table
MRCPsych 2010



                OUTCOME     OUTCOME
                PRESENT/    ABSENT /
                POOR        GOOD

     RISK +ve True +ve      False +ve   PPV of
                                        predictor

     RISK -ve   False -Ve   True -Ve    NPV of
                                        predictor

                Sensitivity Specificity Prevalence
                Of          of
                predictor predictor
Test for AD vs HC…fill in missing cells
MRCPsych 2010



                   AD            MCI

      Test +ve     600           100           700     PPV 85.0%


      Test -ve                                         NPV 81%


                   800           1000          1800
                                               (44%)
 Mitchell (2005)   Sensitivity   Specificity
 Meta-analysis     75%           90%
     N=14x
Test for AD vs HC…..good test?
MRCPsych 2010



                   AD            MCI

      Test +ve     600           100           700     PPV 85.0%


      Test -ve     200           900           1100    NPV 81%


                   800           1000          1800
                                               (44%)
 Mitchell (2005)   Sensitivity   Specificity
 Meta-analysis     75%           90%
     N=14x
1.00


MRCPsych 2010
   0.90
              Post-test Probability



   0.80



   0.70



   0.60



   0.50
                                                                                Test+


   0.40

                                                                                Test-

   0.30


                                                                                Baseline Probability
   0.20



   0.10

                                                                                         Pre-test Probability
   0.00
          0                           0.1   0.2   0.3   0.4   0.5   0.6   0.7    0.8           0.9              1
1.00


MRCPsych 2010
   0.90
              Post-test Probability



   0.80



   0.70



   0.60



   0.50                                                                         Test+


                                                                                Test-
   0.40

                                                                                Baseline Probability

   0.30
                                                                                Clinician+


   0.20                                                                         Clinician-



   0.10

                                                                                             Pre-test Probability
   0.00
          0                           0.1   0.2   0.3   0.4   0.5   0.6   0.7    0.8              0.9               1
AD vs HC – P-Tau181
MRCPsych 2010



                   AD            MCI

      Test +ve     595           113           708
                                                      PPV 84.0%
      Test -ve     257           576           833
                                                      NPV 69.1%
                   852           689           1541




 Mitchell (2005)   Sensitivity   Specificity
 Meta-analysis     69.8%         83.6%
     N=14x
Classifying Predictors
MRCPsych 2010



           Demographic                Disease Related

           •    Age                   •   MCI Type
           •    Gender                •   MCI Subtype
           •    Education
                                      •   Structural Imaging
           Service Related            •   Functional Imaging
                                      •   CSF Studies
           •    Recruitment Setting   •   Genetic testing (ApoE4)
           •    Education             •   Cognitive Testing
           •    Length of follow-up   •   Non-memory impairment
           •    Delay in diagnosis    •   Depression/anxiety
           •    Treatment             •   Subjective Performance
           •    Size of study         •   Functional status
                                      •   Vascular status
Mayo Data Survival (Kaplan-Mayer)
MRCPsych 2010

                100                              Normals
                                                 Normals
                                                 All amnestic MCI
                                                 All amnestic MCI
                80                               A-MCI single domain
                                                 A-MCI single domain
                                                 A-MCI multidomain
                                                 A-MCI multidomain
                60
      Alive
       (%)
                40

                20
                        P<0.023
                        P<0.023
                 0
                      0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

                               Years after enrollment
                                                                    CP1183493-11
Measuring Risk
MRCPsych 2010




• Absolute Risk Reduction (ARR)
     – is the absolute difference in event rates between
       the experimental and control patients.

   ARR = CER - EER


• Number Needed to Treat (NNT)
     – is the number of patients a clinician needs to
       treat in order to prevent one additional adverse
       outcome
Measuring Risk - Examples
MRCPsych 2010



       CER         EER          RRR          ARR        NNT

        0 .6        0 .4        33%          20%           5

       0 .0 6      0 .0 4       33%           2%          50

      0 .0 0 6    0 .0 0 4      33%          .2 %        500




   RRR remains the same despite differences in absolute rate of events.
   ARRs reflect underlying susceptibility of patients
   NNTs provide a measure of the clinical effort that must be expended
Checklist criteria
MRCPsych 2010


•   Are the study population similar to our patients?

•   Is the study design appropriate for the research question?

•   Were the study subjects representative of patients with the disease in question?

•   Were the patients at a similar point in the course of their disease?

•   Were the outcomes objectively-defined, and were the people recording the outcomes
    blinded to the prognostic factors?

•   Were patients followed long enough for outcomes to occur?

•   Was the dropout rate excessive?

•   Did the authors adjust for differences between groups?

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MRCPsych Teaching 2010 Critical Appraisal of Diagnostic Tests

  • 1. MRCPsych Teaching 2010 www.slideshare.net/ajmitchell MRCPsych 2010 A. Critical Appraisal of Diagnostic Tests Studies of Accuracy, Validity, Screening & Case finding Alex J Mitchell Consultant in Liaison Psychiatry University of Leicester
  • 2. 1. Importance of understanding diagnostic tests 1. Importance of diagnostic tests 2. Concept of diagnostic tests: traits to diseases 3. Statistics of diagnostic tests 4. Clinical Value of diagnostic tests 5. Worked examples 6. Advances techniques
  • 3. What Is a Diagnostic Test in Psychiatry? MRCPsych 2010 • CT/MRI • CSF • Blood tests eg TFTs • SCAN/SCID/PSE/MINI • Neuropsychological Testing • MMSE • HADS/BDI/CESD? • Clinical Judgement • Self-report
  • 4. Why Is a HADS score not a diagnosis? MRCPsych 2010 1. No core features 2. No symptom ranking 3. No functional assessment 4. Duration unclear 5. What if Missing items? 6. Imprecise
  • 5. Defining Diagnostic Testing MRCPsych 2010 INTENTION • Screening – The systematic application of a test or inquiry, to identify individuals at sufficient risk of a specific disorder to warrant further actions among those who have not sought medical help for that disorder • Case-Finding – The selected application of a test or inquiry, to identify individuals with a suspected disorder and exclude those without a disorder, usually in those who have sought medical help for that disorder Adapted from Department of Health. Annual report of the national screening committee. London: DoH, 1997.
  • 6. Defining Diagnostic Testing MRCPsych 2010 PRACTICAL • Screening – Rule out those without the disorder with high accuracy (high NPV) • Case-Finding – Rule in those with the disorder with high accuracy (high PPV)
  • 7. Defining Diagnostic Testing MRCPsych 2010 APPLICATION • Routine Screening – The systematic application of a test or inquiry, to all individuals who may have (or who have not sought medical help for that disorder) • Targeted (High Risk) – The highly selected application of a test or inquiry, to identify individuals at high risk of a specific disorder by virtue of known risk factors Adapted from Department of Health. Annual report of the national screening committee. London: DoH, 1997.
  • 8. Defining Diagnostic Testing MRCPsych 2010 COMPARATOR • Accuracy (aka convergent validity) – The degree of approximation (veracity) to a robust comparator • Validity (aka criterion validity) – The degree of approximation (veracity) to a criterion reference • Precision – The degree of predictability (low SD) in the measure
  • 9. Aims of Detection MRCPsych 2010 • Screening: – Short; Easy; some false +ve (low SpS PPV), few false –ve (High Sens, NPV) • Diagnosis (case-finding) – Accurate, Few false +ve or –ve • Rating – Simple, patient rated, correl. With QoL and other outcomes
  • 10. UK National Screening Committee Guidelines MRCPsych 2010 • The condition should: • The screening program should: • • Be an important health issue • • Show evidence that benefits of screening • • Have a well-understood history, with a detectable outweighing risks risk factor or disease marker • • Be acceptable to public and professionals • • Have cost-effective primary preventions • • Be cost effective (and have ongoing evaluation) implemented. • • Have quality-assurance strategies in place. • Adapted from: UK National Screening Committee • The screening tool should: Criteria for appraising the viability, effectiveness and • • Be a valid tool with known cut-off appropriateness of a screening programme • • Be acceptable to the public • • Have agreed diagnostic procedures. • http://www.nsc.nhs.uk/pdfs/criteria.pdf • The treatment should: • • Be effective, with evidence of benefits of early intervention • • Have adequate resources • • Have appropriate policies as to who should be treated.
  • 11. Development of Diagnostic Tests MRCPsych 2010 Stage Type Purpose Description Pre-clinical Development Development of the proposed tool or Here the aim is to develop a screening method that is likely to help in the detection of the test underlying disorder, either in a specific setting or in all setting. Issues of acceptability of the tool to both patients and staff must be considered in order for implementation to be successful. Phase Diagnostic validity Early diagnostic validity testing in a The aim is to evaluate the early design of the screening method against a known (ideally I_screen selected sample and refinement of tool accurate) standard known as the criterion reference. In early testing the tool may be refined, selecting most useful aspects and deleting redundant aspects in order to make the tool as efficient (brief) as possible whilst retaining its value. Phase Diagnostic validity Diagnostic validity in a representative The aim is to assess the refined tool against a criterion (gold standard) in a real world II_screen sample sample where the comparator subjects may comprise several competing condition which may otherwise cause difficulty regarding differential diagnosis. Phase Implementation Screening RCT; clinicians using vs not This is an important step in which the tool is evaluated clinically in one group with access III_screen using a screening tool to the new method compared to a second group (ideally selected in a randomized fashion) who make assessments without the tool. Phase Implementation Screening implementation studies using In this last step the screening tool /method is introduced clinically but monitored to discover IV_screen real-world outcomes the effect on important patient outcomes such as new identifications, new cases treated and new cases entering remission. Citation: Mitchell AJ. Screening for depression in clinical practice: evidence based approach
  • 12. 2. Concepts of Diagnostic Tests: Trait / Syndrome / Disease
  • 13. Graphical – Screening principles MRCPsych 2010 # of Individuals Non-Depressed Severity of Depression Depressed # of Individuals
  • 14. Graphical – Screening principles MRCPsych 2010 # of Cut-Off Individuals Low High Non-Depressed <<<< high Specificity Severity of Depression High Sensitivity >>>> Depressed # of Individuals
  • 15. Graphical – Screening principles MRCPsych 2010 # of Cut-Off Individuals Low High Non-Depressed <<<< low Specificity Severity of Depression High Sensitivity >>>> Depressed # of Individuals
  • 16. Graphical – Definition of NPV MRCPsych 2010 Cut-Off Low High True +ve / ALL +ve = PPV Non-Depressed True -ve True +ve Depressed False alarms
  • 17. Graphical – Definition of PPV MRCPsych 2010 True –VE / ALL -ve = NPV Cut-Off Low High Non-Depressed True -ve True +ve Depressed Missed cases
  • 18. Theory of Diagnostic Tests MRCPsych 2010 Cut-off value Non-Depressed Depressed # of Individuals True -ve True +ve False -ve False +ve Test Result
  • 19. Low Prevalence (Se Sp = same) MRCPsych 2010 Cut-off value Non-Depressed Mj Depression # of Individuals False –ve False +ve SMALL LARGE Test Result
  • 20. High Prevalence (Se Sp = same) MRCPsych 2010 Cut-off value Non-Depressed Mj+Mn Depression # of Individuals False –ve False +ve LARGE SMALL Test Result
  • 21. Can This Help establish a syndrome?
  • 22. Example: A Clear Disease [#1] Point of Partial Rarity Number of Individuals No Disorder True ‐ve True ‐ve True +ve True +ve Disorder False +ve False +ve False ‐ve False ‐ve Test Result
  • 23. Example: A Probable Syndrome [#2] Number of Individuals No Disorder True ‐ve True ‐ve True +ve True +ve Disorder False +ve False +ve False ‐ve False ‐ve MMSE Cognitive Score
  • 24. Example: A Normally Distributed Trait [#3] Number of Individuals No Disorder True ‐ve True ‐ve True +ve True +ve Disorder False +ve False +ve False ‐ve False ‐ve MMSE Cognitive Score
  • 25. MRCPsych 2010 Example: Dementia Disease? Syndrome? Trait?
  • 26. Hubbert et al (2005) BMC Geriatrics MRCPsych 2010 MMSE scores for dementia (n=72) and non-dementia (n=2735) Huppert et al BMC Geriatrc 2005
  • 27. MRCPsych 2010 Example: Depression Disease Syndrome Trait
  • 28. 0 500 1000 1500 2000 2500 3000 Ze ro O ne MRCPsych 2010 Tw o Th re e Fo ur Fi ve Si x Se ve n ei gh t N in e Te n El ev en Tw el ve Th irt ee n Fo ur te en Fi fte en Thompson et al (2001) n=18,414 Si xt ee Se n ve nt ee n Ei gh te en
  • 29. Mitchell, Coyne et al (2008) MRCPsych 2010 110 100 Scores on the CES-D during Pregnancy, 3 and 12 months Post-partum in 947 Women 90 80 70 60 Early Pregnancy 50 3months Post-Partum 12months Post-Partum 40 30 20 10 0 Healthy Depressive Symptoms Mild Depression Moderate to Severe Depression
  • 30. PHQ9 Linear distribution 35 MRCPsych 2010 30 PHQ9 (Major Depression) 25 PHQ9 (Minor Depression) PHQ9 (Non-Depressed) 20 15 10 5 0 ve n en n ro e e o ve n en n ur en en ne x t n gh ee Tw re Te ve n ee Si ee Ze Fo el Fi ev Ni te te O fte Th Ei nt Se Tw irt xt ur gh El Fi ve Th Si Fo Ei Se Baker-Glen, Mitchell et al (2008)
  • 31. 3. Statistics of Diagnostic Tests: 2x2s
  • 32. Accuracy 2x2 Table Reference Standard Disorder Present Reference Standard No Disorder MRCPsych 2010 Test A/A + B +ve A B PPV Depression Depression Test -ve C D D/C + D NPV PRESENT ABSENT Total A/ A + C D/ B + D Sn Sp Test +ve True +ve False +ve PPV Test -ve False -Ve True -Ve NPV Sensitivity Specificity Prevalence
  • 33. Accuracy 2x2 Table MRCPsych 2010 Depression Depression PRESENT ABSENT Test +ve TP FP PPV Test -ve FN TN NPV Sensitivity Specificity Prevalence
  • 34. Basic Measures of Accuracy MRCPsych 2010 • Sensitivity (Se) a/(a + c) TP / (TP + FN) • A measure of accuracy defined the proportion of patients with disease in whom the test result is positive: a/(a + c) • Specificity (Sp) d/(b + d) TN / (TN + FP) • A measure of accuracy defined as the proportion of patients without disease in whom the test result is negative • Positive Predictive Value a/(a+b) TP / (TP + FP) • A measure of rule-in accuracy defined as the proportion of true positives in those that screen positive screening result, as follows • Negative Predictive Value c/(c+d) TN / (TN + FN) • A measure of rule-out accuracy defined as the proportion of true negatives in those that screen negative screening result, as follows
  • 35. Accuracy in words MRCPsych 2010 • Sensitivity – The chance of testing positive among those with the condition – The chance of rejecting the null hypothesis among those that do not satisfy the null hypothesis • Specificity – The chance of testing negative among those without the condition – The chance of accepting the null hypothesis among those that satisfy the null hypothesis • Positive Predictive Value – The chance of having the condition among those that test positive – The chance of not satisfying the null hypothesis among those that reject the null hypothesis • Negative Predictive Value – The chance of not having the condition among those that test negative – The chance of satisfying the null hypothesis among those that accept the null hypothesis • Type I Error or α (alpha) or p-Value or false positive rate – The chance of testing positive among those without the condition – The chance of rejecting the null hypothesis among those that satisfy the null hypothesis • Type II Error or β (beta) or false negative rate – The chance of testing negative among those with the condition – The chance of accepting the null hypothesis among those that do not satisfy the null hypothesis • False Discovery Rate or q-Value – The chance of not having the condition among those that test positive – The chance of satisfying the null hypothesis among those that reject the null hypothesis • False Omission Rate – The chance of having the condition among those that test negative – The chance of not satisfying the null hypothesis among those that accept the null hypothesis
  • 36. Rule-in Accuracy MRCPsych 2010 Depression Depression PRESENT ABSENT Test +ve True +ve False +ve PPV (type I error) (discrimination) Test -ve False –Ve True -Ve NPV (type II error) Sensitivity Specificity Prevalence (occurrence)
  • 37. Rule-Out Accuracy MRCPsych 2010 Depression Depression PRESENT ABSENT Test +ve True +ve False +ve PPV Test -ve False –Ve True -Ve NPV (type II error) (discrimination) Sensitivity Specificity Prevalence (occurrence)
  • 38. Likelihood Ratios MRCPsych 2010 Likelihood Ratio for Positive Tests The chance of testing positive among those with the condition; divided by the chance of testing positive among those without the condition Sensitivity / (1 - Specificity) [ TP / (TP + FN) ] / [ FP / (FP + TN) ] = PPV / Prevalence Likelihood Ratio for Negative Tests The chance of testing negative among those with the condition; divided by the chance of testing negative among those without the condition Specificity / (1 – Sensitivity) [ FN / (FN + TP) ] / [ TN / (TN + FP) ] = NPV / Prevalence
  • 39. Summary Measures MRCPsych 2010 • Youden's J – Sensitivity + Specificity – 1 • Predictive Summary Index – PPV + NPV – 1 • Overall accuracy (fraction correct) – TP+TN / TP+FP+TN+FN
  • 40. Reciprocal Measures MRCPsych 2010 • Number Needed to Diagnose (NND) – 1 / (Youden's J) • Number Needed to Predict (NNP) – 1 / (PSI) • Number Needed to Screen (NNS) – 1/(FC-FiC)
  • 41. Receiver Operating Characteristic Murphy JM, Berwick DM, Weinstein MC, Borus JF, Budman SH, Klerman GL 1987 : Performance of screening and diagnostic tests: Application of Receiver Operating Characteristic ROC analysis. Arch Gen Psychiatry 44:550-555
  • 42. Accuracy 2x2 Table MRCPsych 2010 Depression Depression PRESENT ABSENT Test +ve True +ve False +ve PPV Test -ve False -Ve True -Ve NPV Sensitivity Specificity Prevalence
  • 43. Test vs Major Depression MRCPsych 2010 Depression Depression PRESENT ABSENT Test +ve 500 1500 2000 PPV 25% Test -ve 500 4500 5000 NPV 90% 1000 6000 7000 Sensitivity Specificity Prevalence 14% 50% 75%
  • 44. Test vs Major + Min Depression MRCPsych 2010 Depression Depression PRESENT ABSENT Test +ve 500 1500 2000 PPV 25% Test -ve 500 500 1000 NPV 50% 1000 2000 3000 Sensitivity Specificity Prevalence 33% 50% 33%
  • 45. 4. Clinical Value of Diagnostic Tests
  • 46. Added Value MRCPsych 2010 • Definition 1: – The additional ability of a test to rule-in or rule-out compared with the baseline rate – PPV minus Prevalence – NPV minus prevalence • Definition 2: – The additional of a test to rule-in or rule-out compared with the unassisted rate – PPV test minus PPV no test (assuming equal prevalence) – LR+ test minus LR+ no test – AUC test minus AUC no test
  • 47. 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 Loss of energy Diminished drive Sleep disturbance MRCPsych 2010 Concentration/indecision Depressed mood Anxiety Diminished concentration Insomnia Diminished interest/pleasure Psychic anxiety Helplessness Worthlessness Hopelessness Somatic anxiety Thoughts of death Anger Excessive guilt Psychomotor change Indecisiveness Decreased appetite Psychomotor agitation Psychomotor retardation Decreased weight Lack of reactive mood Increased appetite All Case Proportion Hypersomnia Depressed Proportion Non-Depressed Proportion Increased weight Mitchell, Zimmerman et al MIDAS Database. Psychol Med 2007 Submitted
  • 48. -0.10 0.00 0.10 0.20 0.30 0.40 0.50 A nge r A nxie ty Decr ea s e d app eti te MRCPsych 2010 Decr eas e d weig ht Depr es sed m ood Dimin is hed c onc entr a t io n Dimin is hed dr ive Dimin is hed int er est /p leasu re Exc e ss ive guilt Help less n ess Hope le s snes s Hy pe rsom ni a Inc re a sed a ppet ite Inc re a sed w eight Indec isiv enes s Ins om nia L ac k of re act iv e mo od L os s of en erg y Ps ych i c a nx iety Ps ych o mot o r agi ta tion Ps ych o mot o r c han ge Ps ych o mot o r ret ar da tion Sl eep dis tu rban ce Soma ti c a nx iet y Rule-In Added Value (PPV-Prev) Thou g hts Rule-Out Added Value (NPV-Prev) of de ath Wor t hles s ness
  • 49. Accuracy of Tests: Visual Post-test Probabilities MRCPsych 2010 Very unlikely unlikely likely Very likely Overall 10% - (22) -50% = 54% CIDI (computer) Any Depression PHQ-2 3% - (16) - 32% = 29% Henckel et al (2004) Eur Arch Psychiatry Clin Neurosci CIDI (computer) Any Depression WHO5 (1+3) 3% - (16) - 32% = 29% Henckel et al (2004) Eur Arch Psychiatry Clin Neurosci CIDI (computer) Mj Depression 1 Question 3% - (37) - 63% = 60% Arroll B et al (2003) BMJ CIDI (computer) Mj Depression 2 Questions 25% 75% 0% 32% - (37) - 96% = 64% 100%
  • 50. 1.00 MRCPsych 2010Post-test Probability 0.90 0.80 0.70 0.60 0.50 0.40 Clinician Positive (Fallowfield et al, 2001) 0.30 Clinician Negative (Fallowfield et al, 2001) Baseline Probability 0.20 HADS-D Positive (Mata-analysis) HADS-D Negative (Meta-analysis) 0.10 Pre-test Probability 0.00 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
  • 51. 1.00 Post-test Probability Depression Present (Routine) 0.90 Depression Absent (Routine) MRCPsych 2010 Depression Scales +ve (Median) 0.80 Depression Scales -ve (Median) Prior Probability 0.70 0.60 0.50 PPV=0.41 0.40 0.30 0.20 0.10 NPV=0. 97 Pre-test Probability 0.00 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Prevalence of 0.15
  • 52. 5. Worked Examples of diagnostic tests
  • 53. PostStroke Mj Depression vs NonMj MRCPsych 2010 • Clinicians diagnosis using DSMIV vs SCAN/PSE – 50 people with major depression – 150 healthy people – 50 with subsyndromal depression
  • 54. Clinicians using DSMIV MRCPsych 2010 • IF: Clinicians diagnosed 50 cases with Mj depression • IF: Their specificity was 95% • Q. What was the sensitivity? • Q. What was the prevalence? • Q. What was the PPV? • Q. What was the % correctly identified per every 100 screened?
  • 55. Test vs Major Depression MRCPsych 2010 Depression Depression On SCAN ABSENT Test +ve ?? 50 (Clinician) PPV ??% Test -ve ?? NPV ??% 50 200 Sensitivity Specificity Prevalence ??% 50% 95%
  • 56. Test vs Major Depression MRCPsych 2010 Depression Depression On SCAN ABSENT Test +ve 40 10 50 (Clinician) PPV 80% Test -ve 10 190 200 NPV 95% 50 200 Sensitivity Specificity Prevalence 20% 80% 95%
  • 57. 6. Advanced Techniques sROC Real World Numbers NND; NNS Bivariate meta-analysis Economics
  • 58. 1.00 MRCPsych 2010 ROC Plot 0.90 Low Mood Sensitivity 0.80 DSMIV 0.70 Low mood & loss interest 0.60 0.50 0.40 0.30 0.20 0.10 0.00 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1 - Specifity
  • 61. Further Reading MRCPsych 2010 • David A Grimes, Kenneth F Schulz Uses and abuses of screening tests Lancet 2002; 359: 881–84 • Jonathan J Deeks, Douglas G Altman Diagnostic tests 4: likelihood ratios BMJ VOLUME 329 17 JULY 2004 • Patrick M Bossuyt, Les Irwig, Jonathan Craig and Paul Glasziou Comparative accuracy: assessing new tests against existing diagnostic pathways. BMJ • 2006;332;1089-1092 • Reitsma JB et al Bivariate analysis of sensitivity and specificity produces informative summary measures in diagnostic reviews. Journal of Clinical Epidemiology 58 (2005) 982–990
  • 62. MRCPsych Teaching 2010 MRCPsych 2010 B. Critical Appraisal of Prognostic Tests Risk, predictors, measuring outcomes Alex J Mitchell Consultant in Liaison Psychiatry University of Leicester
  • 63. Measuring Risk MRCPsych 2010 Risk – the probability of some untoward event •e.g., disease, death Risk Factor – characteristics or behaviours associated with an increased risk of becoming diseased
  • 64. Healthy Healthy Healthy With SMC MCI With SMC FTD Dementia VaD AD LBD Mixed
  • 65. Modelling Progression on MCI-Dementia MRCPsych 2010 Disease Severity Healthy MMSE 30 MCI 23v24 Mild Dementia 20v21 Moderate Dementia 11v12 Severe Dementia 0 T0 T4 T+8 T+12 Time in Years
  • 66. Modelling Progression on MCI-Dementia MRCPsych 2010 Disease Severity Healthy MMSE 30 MCI 23v24 Mild Dementia 20v21 Moderate Dementia 11v12 Severe Dementia 0 T0 T4 T+8 T+12 Time in Years
  • 67. Modelling Progression on MCI-Dementia MRCPsych 2010 Disease Severity Healthy MMSE 30 MCI MCI-Progressive Moderate Risk 23v24 Mild Dementia MCI-Progressive 20v21 High Risk Moderate Dementia 11v12 Severe Dementia 0 T0 T4 T+8 T+12 Time in Years
  • 68. Accuracy 2x2 Table MRCPsych 2010 OUTCOME OUTCOME PRESENT/ ABSENT / POOR GOOD RISK +ve True +ve False +ve PPV of predictor RISK -ve False -Ve True -Ve NPV of predictor Sensitivity Specificity Prevalence Of of predictor predictor
  • 69. Test for AD vs HC…fill in missing cells MRCPsych 2010 AD MCI Test +ve 600 100 700 PPV 85.0% Test -ve NPV 81% 800 1000 1800 (44%) Mitchell (2005) Sensitivity Specificity Meta-analysis 75% 90% N=14x
  • 70. Test for AD vs HC…..good test? MRCPsych 2010 AD MCI Test +ve 600 100 700 PPV 85.0% Test -ve 200 900 1100 NPV 81% 800 1000 1800 (44%) Mitchell (2005) Sensitivity Specificity Meta-analysis 75% 90% N=14x
  • 71. 1.00 MRCPsych 2010 0.90 Post-test Probability 0.80 0.70 0.60 0.50 Test+ 0.40 Test- 0.30 Baseline Probability 0.20 0.10 Pre-test Probability 0.00 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
  • 72. 1.00 MRCPsych 2010 0.90 Post-test Probability 0.80 0.70 0.60 0.50 Test+ Test- 0.40 Baseline Probability 0.30 Clinician+ 0.20 Clinician- 0.10 Pre-test Probability 0.00 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
  • 73. AD vs HC – P-Tau181 MRCPsych 2010 AD MCI Test +ve 595 113 708 PPV 84.0% Test -ve 257 576 833 NPV 69.1% 852 689 1541 Mitchell (2005) Sensitivity Specificity Meta-analysis 69.8% 83.6% N=14x
  • 74. Classifying Predictors MRCPsych 2010 Demographic Disease Related • Age • MCI Type • Gender • MCI Subtype • Education • Structural Imaging Service Related • Functional Imaging • CSF Studies • Recruitment Setting • Genetic testing (ApoE4) • Education • Cognitive Testing • Length of follow-up • Non-memory impairment • Delay in diagnosis • Depression/anxiety • Treatment • Subjective Performance • Size of study • Functional status • Vascular status
  • 75. Mayo Data Survival (Kaplan-Mayer) MRCPsych 2010 100 Normals Normals All amnestic MCI All amnestic MCI 80 A-MCI single domain A-MCI single domain A-MCI multidomain A-MCI multidomain 60 Alive (%) 40 20 P<0.023 P<0.023 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Years after enrollment CP1183493-11
  • 76. Measuring Risk MRCPsych 2010 • Absolute Risk Reduction (ARR) – is the absolute difference in event rates between the experimental and control patients. ARR = CER - EER • Number Needed to Treat (NNT) – is the number of patients a clinician needs to treat in order to prevent one additional adverse outcome
  • 77. Measuring Risk - Examples MRCPsych 2010 CER EER RRR ARR NNT 0 .6 0 .4 33% 20% 5 0 .0 6 0 .0 4 33% 2% 50 0 .0 0 6 0 .0 0 4 33% .2 % 500 RRR remains the same despite differences in absolute rate of events. ARRs reflect underlying susceptibility of patients NNTs provide a measure of the clinical effort that must be expended
  • 78. Checklist criteria MRCPsych 2010 • Are the study population similar to our patients? • Is the study design appropriate for the research question? • Were the study subjects representative of patients with the disease in question? • Were the patients at a similar point in the course of their disease? • Were the outcomes objectively-defined, and were the people recording the outcomes blinded to the prognostic factors? • Were patients followed long enough for outcomes to occur? • Was the dropout rate excessive? • Did the authors adjust for differences between groups?