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Screening for Diseases

     Dr San San Oo
Learning outcomes
 1. To describe the concept of screening
 2. To differentiate between screening test and
    diagnostic test
 3. To explain the concept of “lead time”
 4. To understand aims and objectives of
    screening
 5. To list the uses of screening


8/12/2012           Dr.san san oo_commed          2
6. To enumerate the types of screening
 7. To describe the basic requirements of a
    screening test
 8. To calculate the validity (sensitivity and
    specificity) of a screening test and interpret
    them
 9. To calculate the predicative accuracy of a
    screening test and interpret them
 10.To set the cutoff levels of a screening test for
    different diseases

8/12/2012             Dr.san san oo_commed             3
Introduction
• Necessary to distinguish
      – Who have the disease
      – Who do not
• Important challenge
      – Clinical arena (for patient care)
      – Public health arena (for early disease detection
        and intervention)
• Quality of screening and diagnostic tests
      – a critical issue

8/12/2012                  Dr.san san oo_commed            4
Concept of Screening
• The search for unrecognized disease or defect
  by means of rapidly applied tests,
  examinations or other procedures in
  apparently healthy individuals
• A fundamental aspect of prevention
• ACTIVE SEARCH FOR DISEASE



8/12/2012          Dr.san san oo_commed           5
Screening test and diagnostic test
Screening test                             Diagnostic test
• Apparently healthy                       • With indications or sick
• Groups                                   • Single patients
• Test results are arbitrary and           • Diagnosis not final, the sum of
  final                                      all evidence
• One criterion or cut-off                 • Numbers of symptoms, signs
                                             and lab investigations
•   Less accurate                          • More accurate
•   Less expensive                         • More expensive
•   Not a basis for treatment              • Basis for treatment
•   Initiatives from investigators or      • Initiatives from a patient with
    agency                                   a complaint

8/12/2012                      Dr.san san oo_commed                            6
Concept of “lead time”




8/12/2012           Dr.san san oo_commed   7
• “Lead time” – the advantage gained by
  screening i.e. the period between diagnosis by
  early detection and diagnosis by other means
• A = usual outcome of the disease
• B= outcome to be expected when disease is
  detected at the earliest possible moment
• B-A = benefits of the programmes


8/12/2012          Dr.san san oo_commed        8
Aims and objectives

                                Apparently healthy
                                 (Screening tests)


        Apparently normal
                                                    Apparently abnormal
      (Periodic re screening)


                                    Normal
                                                          Intermediate      Abnormal
                                  (Periodic re-
                                                          (Surveillance)   (Treatment)
                                   screening)




8/12/2012                          Dr.san san oo_commed                                  9
Uses of screening
1. Case detection
     – Prescriptive screening
     – Presumptive identification of unrecognized disease
     – E.g. Breast cancer, cervical cancer, diabetes
2. Control of disease
     – Prospective screening
     – For benefits of others
     – E.g. screening of immigrants from infectious diseases


8/12/2012                Dr.san san oo_commed               10
3. Research purposes
     – More basic knowledge about natural history of
       diseases
     – E.g. chronic diseases (cancer, hypertension)
4. Educational opportunities
     – Creating public awareness and educating heath
       professionals
     – E.g. screening for diabetes

8/12/2012              Dr.san san oo_commed            11
Types of screening
1. Mass screening
     – Whole population
     – Sub groups
2. High risk or selective screening
     – High risk groups
     – Screening of diabetes, hypertension, breast
       cancer in other members of family
3. Multiphasic screening
     – Two or more screening tests at one time

8/12/2012               Dr.san san oo_commed         12
Criteria for screening
• Two considerations
1. The disease
2. The test




8/12/2012          Dr.san san oo_commed   13
IATROGENIC
1. Condition should be important (I)
2. An acceptable treatment should be available
   for disease (A)
3. Diagnostic and treatment facilities should be
   available (T)
4. A recognizable early symptomatic stage is
   required (R)
5. Opinions on who treat must be agreed (O)

8/12/2012          Dr.san san oo_commed        14
6. The safety of the test is guaranteed (G)
7. The test examination must be acceptable to
  the patient (E)
8. The untreated natural history of the disease
  must be known (N)
9. The test should be inexpensive (I)
10. Screening must be continuous (C)


8/12/2012           Dr.san san oo_commed          15
Some screening tests
Pregnancy                             Infancy
• Anaemia                             • Hearing defects
• Hypertension toxaemia               • Visual defects
• Rh status                           • Haemoglobinopathies
• Syphilis (VDRL)                     • Spina bifida
• Diabetes
• HIV
• Neural tube defects
• Down’s syndrome


8/12/2012                 Dr.san san oo_commed                16
Middle aged men and women        Elderly
• Hypertension                   • Cancer
• Cancer                         • Glaucoma
• Diabetes mellitus              • Cataract
• Serum cholesterol              • Chronic bronchitis
• obesity                        • Nutritional disorders




8/12/2012            Dr.san san oo_commed                  17
Validity
• The extent the test accurately measures what
  it purports to measure
• The ability of a test to separate or distinguish
  those who have the disease from those who
  do not
• Two components (expressed as %)
     1. Sensitivity
     2. Specificity

8/12/2012             Dr.san san oo_commed           18
Test with dichotomous results
                 (positive or negative)




8/12/2012              Dr.san san oo_commed   19
Two by two table
Screening test         Diagnosis (Gold standard test)                 Total


                 Diseased                 Not diseased


Positive         a (True positives)       b (False negatives)   a+b


Negative         c (False negatives)      d (True negatives)    c+d


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




8/12/2012                      Dr.san san oo_commed                           20
Evaluation of a screening test
1.     Sensitivity
2.     Specificity
3.     Predictive value of a positive test
4.     Predictive value of a negative test
5.     Percentage of false negatives
6.     Percentage of false positives



8/12/2012               Dr.san san oo_commed   21
Sensitivity
• The ability of a test to         Screening         Diagnosis             Total
                                      test
  identify correctly those
  who have the disease                         Diseased        Not
                                                            diseased
• Proportion of
  individuals with the              Positive       a            b          a+b
                                                 (True       (False
  disease who are                              positives)   positives)
  correctly identified by
  the test                         Negative        c            d          c+d
                                                 (False       (True
• True positives                               negatives)   negatives)

• a/a+c
                                      Total      a+c          b+d        a+ b+c +d


8/12/2012              Dr.san san oo_commed                                  22
• A measure of the probability of correctly diagnosing
  a case
• The probability that any given case will be identified
  by the test
• A 80% sensitivity means
     • 80% of the diseased people screened by the test will give a
       “true positive” result
     • The proportion of diseased people who are correctly
       identified as “positive” by the test is 80%


8/12/2012                   Dr.san san oo_commed                 23
Specificity
• The ability of a test to       Screening             Diagnosis           Total
                                    test
  identify correctly those
  who do not have the                           Diseased         Not
                                                              diseased
  disease
                                  Positive          a            b         a+b
• Proportion of individuals                       (True       (False
  without the disease who                       positives)   positives)

  are correctly identified by     Negative          c            d         c+d
  the test                                        (False       (True
                                                negatives)   negatives)
• True negatives
• d/b+d                             Total         a+c          b+d        a+b+c+d



8/12/2012                Dr.san san oo_commed                                  24
• A measure of the probability of correctly identifying
  a non-diseased person with a screening test
• A 90% specificity means
     • 90% of the non-diseased people screened by the test will
       give “ true negative” result
     • The proportion of non-diseased people who are correctly
       identified as negative by the test is 90%




8/12/2012                  Dr.san san oo_commed                   25
Example (1)
Screening test                Diagnosis (cervical biopsy)                 Total
Pap smear                   Diseased               Not diseased
Positive                      160                          240            400
Negative                       40                          560            600
Total                         200                          800           1,000

Sensitivity = 160/200 * 100 = 80%
•80% of women having Ca cervix screened by Pap smear will give “ true positive” result.
•The proportion of women having Ca cervix who are correctly identified as positive by
Pap smear is 80%.

Specificity = 560/800 * 100 = 70%
•70% of women not having Ca cervix screened by Pap smear will give “true negative”
result.
•The proportion of women not having Ca cervix who are correctly identified as negative
by Pap smear is 70%.

8/12/2012                           Dr.san san oo_commed                            26
False negatives
• Patients who actually                    Screening             Diagnosis           Total
  have the disease are told                   test
  that they do not have the
  disease                                                 Diseased         Not
                                                                        diseased
• c/a + c
• False reassurance                         Positive          a            b         a+b
                                                            (True       (False
• Ignore the development                                  positives)   positives)
  of symptoms and signs
• Critical                                  Negative          c            d         c+d
                                                            (False       (True
      – if effective intervention is                      negatives)   negatives)
        available (e.g. cancer)
• Very sensitive test has                     Total         a+c          b+d        a+b+c+d
  fewer FN

8/12/2012                          Dr.san san oo_commed                                  27
False positives
• Patients who do not          Screening             Diagnosis           Total
  have the disease are            test
  told that they have                         Diseased         Not
• b/b+d                                                     diseased
• Further tests                 Positive          a            b         a+b
• Expenses                                      (True       (False
                                              positives)   positives)
• Anxiety and worry
• Limitation in                 Negative          c            d         c+d
  employment                                    (False
                                              negatives)
                                                             (True
                                                           negatives)
• A high specificity
  screening test has fewer        Total         a+c          b+d        a+b+c+d
  FP

8/12/2012              Dr.san san oo_commed                                  28
Sensitivity or Specificity ?
• 100% as much as possible (Ideal)
• Gain sensitivity at the expense of specificity and
  vice versa (Practice)
• High sensitivity with fewer false negatives
      – Effective intervention especially at the early stage of
        the natural history of disease
• High specificity with fewer false positives
      – Serious and untreatable
• No screening test is perfect i.e. 100% sensitivity
  and 100% specificity

8/12/2012                   Dr.san san oo_commed                  29
Tests of continuous variables
• Blood pressure            No “positive” or
• Blood glucose level       “negative” result
• The use of cut-off values




8/12/2012              Dr.san san oo_commed     30
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                                                                                                     31
                                                                                   © 2005 Elsevier
Trade-off between
            sensitivity and specificity
• Cut off level at 80 mg/dl
      – All diabetes are identified (100% sensitivity)
      – Many FP
      – Very low specificity
• Cut off level at 200 mg/dl
      – All non diabetes are correctly identified (100%
        specificity)
      – Many FN
      – Very low sensitivity

8/12/2012                 Dr.san san oo_commed            32
Dilemma
• High cutoff or low cutoff ?
• Only have 2 groups
      – Test positives
      – Test negatives
• Depend on the relative importance of
      – False positives
      – False negatives


8/12/2012                 Dr.san san oo_commed   33
Decision
• When the disease is
      – Lethal                         High sensitivity
      – Early detection                low cutoff values
        improves the prognosis
      (E.g. cervical cancer, breast cancer)
      – Tolerable FP
• When the disease
      – Tx not change much                   High specificity
      – Need to limit FP                     high cutoff values
      (E.g. diabetes)
8/12/2012                   Dr.san san oo_commed                  34
How to choose the best cutoff points
• The Receiver operator curve (ROC)




8/12/2012          Dr.san san oo_commed   35
Receiver Operator Characteristic (ROC) Curve
                            ROC curve to determine best cutoff point for scc by means of meanrlu

• Plot true positive rate         100
  (sensitivity) against            90
                                                             50                            10


  false positive rate
                                                 100

                                   80
  (1-specificity) for several s    70
                                              1000     (mean rlu)


  choice of positively
                              e
                              n    60
  criterion
                                              10000
                              s
                              i    50

• choose closest to top left ti    40
                                              25000
                                            50000


  corner to maximized the vi       30

  discriminative ability of y t    20

  the test                         10

                                    0
                                        0               20          40         60    80     100
 8/12/2012                    Dr.san san oo_commed                  1- specificity         36
Receiver Operator Characteristic (ROC) Curve

                                ROC curve to determine best cutoff point for Wilsom Risk sum
• The area under the curve         scoring to detect difficulty of endotracheal intubation

  represent overall
                               100
                                                                                0
                                           1
                                90
  accuracy of the test          80
• useful to compare two 70        2

  test
                   sensitivity
                                60
                                 3
                                50

                                40

                                30

                                20
                                 5

                                10

                                 0
  8/12/2012                     Dr.san san oo_commed                                 37
                                      0        20           40        60   80       100
                                                       1- specificity
If the test results are positive, what is the probability that this
                      patient has the disease?




8/12/2012                  Dr.san san oo_commed   Downloaded from: StudentConsult (on 26 November 2010 11:10 AM)
                                                                                                                    38
                                                                                                  © 2005 Elsevier
Predictive accuracy
• Diagnostic power of the test
• Depend upon
     1. Sensitivity
     2. Specificity
     3. Prevalence of disease
• Two measures
     1. Predictive value of a positive test
     2. Predictive value of a negative test

8/12/2012                Dr.san san oo_commed   39
Predictive value of a positive test
• The probability that an                Screening             Diagnosis           Total
                                            test
  individual with a
                                                        Diseased         Not
  positive test result has                                            diseased
  the disease
                                          Positive          a            b         a+b
• a/a+b                                                   (True
                                                        positives)
                                                                      (False
                                                                     positives)
• A 44% PPV means
                                          Negative          c            d         c+d
     • 44% of the people with                             (False       (True
       positive test result have the                    negatives)   negative)
       disease in question
                                            Total         a+c          b+d        a+b+c+d



8/12/2012                        Dr.san san oo_commed                                  40
Predictive value of a negative test
• The probability that an              Screening             Diagnosis           Total
                                          test
  individual with a
                                                      Diseased         Not
  negative test result                                              diseased
  does not have the                     Positive          a            b         a+b
  disease                                               (True       (False
                                                      positives)   positives)
• d/c+d
                                        Negative          c            d         c+d
• A 98% NPV means                                       (False       (True
                                                      negatives)   negatives)
     • 98% of the people with
       negative test result do not        Total         a+c          b+d        a+b+c+d
       have the disease in question


8/12/2012                      Dr.san san oo_commed                                  41
Example (2)
Screening test               Diagnosis (cervical biopsy)                Total
Pap smear                  Diseased                Not diseased
Positive                      160                          240           400
Negative                       40                          560           600
Total                         200                          800          1,000




PPV = 160/400 * 100 = 40%
•40% of women with positive Pap smear result suffered from Ca cervix.

NPV = 560/600 * 100 = 93%
•93% of women with negative Pap smear result do not suffer from Ca cervix.




8/12/2012                           Dr.san san oo_commed                        42
Relationship between Predictive
         value and Disease Prevalence
• There are two community with different
  breast cancer prevalence;
      – 50/1,000pop and 30/1,000pop.
• Both community has total population of 1,600
• If we are going to apply a screening test with
  95% sensitivity and 85% specificity
• what will be the predictive value of positive
  and negative in that communities?

8/12/2012              Dr.san san oo_commed    43
Calculation for community with
50/1,000 pop
                       Breast              No breast         Totals
                     cancer D+           cancer    D-

        Test T+       76(step 4)          228(step 7)      304(step8)
                     sensitivity

        Test T -       4(step 6)         1292(step 5)     1296(step 5)
                                         specificity

            Totals    80(step 2)         1520(step 3)     1,600(step 1)
                     prevalence


                             PVP=76/304=   0.25
                             PVN=1292/1296=.0.997


8/12/2012                          Dr.san san oo_commed                   44
Calculation for community with
30/1,000 pop
                       Breast               No breast         Totals
                     cancer D+            cancer    D-

        Test T+      45.6(step 4)         232.8(step 7)     278.4(step8)
                     sensitivity

        Test T -      2.4(step 6)        1319.2(step 5)    1321.6(step 5)
                                          specificity

            Totals    48(step 2)          1552(step 3)     1,600(step 1)
                     prevalence


                             PVP=45.6/278.4=   0.16
                             PVN=1319.2/1321.6=.0.998


8/12/2012                           Dr.san san oo_commed                    45
The higher the prevalence
            the greater the predictive value of positive




8/12/2012                   Dr.san san oo_commed   Downloaded from: StudentConsult (on 26 November 2010 11:38 AM)
                                                                                                                     46
                                                                                                   © 2005 Elsevier
Why should we be concerned ?
• Directed to
      – High risk target population
• Most productive and efficient
• More motivated to participate
• More likely to take recommended action




8/12/2012                 Dr.san san oo_commed   47
Efficiency of a test
      – The percentage of all true positive and true
        negative results
      – a+d / a+b+c+d
      – The higher the value, the more efficient the
        measure




8/12/2012                Dr.san san oo_commed          48
Is test useful?
• Likelihood ratio (LR)
      – The likelihood that the test result would be
        expected in a patient with the condition
        compared to the likelihood that the same result
        would be expected in a patient without the
        condition
      – Unlike predictive values, likelihood ratios are not
        influenced by prevalence of the disease



8/12/2012                 Dr.san san oo_commed                49
• Likelihood ratio (Positive)
      – Divide the sensitivity by 1- specificity
• Likelihood ratio (Negative)
      – Divide the 1- sensitivity by specificity




8/12/2012                  Dr.san san oo_commed    50
Likelihood Ratios Positive
  Likelihood ratio positive
                                                      D+    D-
(LR+) is the ratio of the
sensitivity of a test to the false
                                                 T+   a     b     a+b
positive error rate of the test
(1- specificity)                                 T-   c     d     c+d
  The higher the ratio is the
better the test.                                      a+c   b+d   a+b+c+

LR+ = [a/(a+c)] / [b/(b+d)]
 8/12/2012                Dr.san san oo_commed                     51
Likelihood Ratios Negative
  Likelihood ratio negative
(LR-) is the ratio of the
false negative error rate of                    D+    D-
a test (1- sensitivity )to the
specificity of the test               T+        a     b     a+b
 The closer the ratio is to 0 the
better the test.                  T-            c     d     c+d

                                                a+c   b+d   a+b+c+d
   LR- = [c/(a+c)] / [d/(b+d)]
8/12/2012                Dr.san san oo_commed                     52
Summary
•   Concept of a screening test
•   How good is a screening test? (Validity)
•   Question for physician (Predictive accuracy)
•   Cutoff values
•   Is test useful? (LR)




8/12/2012             Dr.san san oo_commed         53
References
1. Park. K., 2009. Park’s Textbook of Preventive
   and Social Medicine. pp 123-130. 20th
   Edition.
2. Gordis. L., 2009. Epidemiology. pp 85-108. 4th
   Edition
3. Petrie. A., and Sabin. C.,2000. Medical
   Statistics at a Glance. pp 90-92


8/12/2012           Dr.san san oo_commed        54
Assignment
   Pelvic scan                 Ovarian cancer                          Total (n)
                           Present        Absent
    abnormal                 15             20                              35
     normal                   5             60                              65
      Total                  20             80                             100
 A hundred women at high risk of ovarian carcinoma have a pelvic ultrasound scan.
 The findings after scan and surgery are shown in the table. Calculate the following
 measures and interpret them.
 1. Sensitivity
 2. Specificity
 3. False negatives
 4. False positives
 5. Positive Predictive value
 6. Negative Predictive value

8/12/2012                           Dr.san san oo_commed                               55
• A new screening test with sensitivity of 80% and
  specificity of 90% was performed on 1,000 persons
  for detection of avian influenza H5N1 infection. The
  prevalence of disease was 20% in the general
  population. Compute the following and interpret
  them.
      – Construct 2x2 table.
      – Calculate positive predictive value of the test.
      – Calculate false positive of positive test.


8/12/2012                     Dr.san san oo_commed         56

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Screening for diseases by Dr. San

  • 1. Screening for Diseases Dr San San Oo
  • 2. Learning outcomes 1. To describe the concept of screening 2. To differentiate between screening test and diagnostic test 3. To explain the concept of “lead time” 4. To understand aims and objectives of screening 5. To list the uses of screening 8/12/2012 Dr.san san oo_commed 2
  • 3. 6. To enumerate the types of screening 7. To describe the basic requirements of a screening test 8. To calculate the validity (sensitivity and specificity) of a screening test and interpret them 9. To calculate the predicative accuracy of a screening test and interpret them 10.To set the cutoff levels of a screening test for different diseases 8/12/2012 Dr.san san oo_commed 3
  • 4. Introduction • Necessary to distinguish – Who have the disease – Who do not • Important challenge – Clinical arena (for patient care) – Public health arena (for early disease detection and intervention) • Quality of screening and diagnostic tests – a critical issue 8/12/2012 Dr.san san oo_commed 4
  • 5. Concept of Screening • The search for unrecognized disease or defect by means of rapidly applied tests, examinations or other procedures in apparently healthy individuals • A fundamental aspect of prevention • ACTIVE SEARCH FOR DISEASE 8/12/2012 Dr.san san oo_commed 5
  • 6. Screening test and diagnostic test Screening test Diagnostic test • Apparently healthy • With indications or sick • Groups • Single patients • Test results are arbitrary and • Diagnosis not final, the sum of final all evidence • One criterion or cut-off • Numbers of symptoms, signs and lab investigations • Less accurate • More accurate • Less expensive • More expensive • Not a basis for treatment • Basis for treatment • Initiatives from investigators or • Initiatives from a patient with agency a complaint 8/12/2012 Dr.san san oo_commed 6
  • 7. Concept of “lead time” 8/12/2012 Dr.san san oo_commed 7
  • 8. • “Lead time” – the advantage gained by screening i.e. the period between diagnosis by early detection and diagnosis by other means • A = usual outcome of the disease • B= outcome to be expected when disease is detected at the earliest possible moment • B-A = benefits of the programmes 8/12/2012 Dr.san san oo_commed 8
  • 9. Aims and objectives Apparently healthy (Screening tests) Apparently normal Apparently abnormal (Periodic re screening) Normal Intermediate Abnormal (Periodic re- (Surveillance) (Treatment) screening) 8/12/2012 Dr.san san oo_commed 9
  • 10. Uses of screening 1. Case detection – Prescriptive screening – Presumptive identification of unrecognized disease – E.g. Breast cancer, cervical cancer, diabetes 2. Control of disease – Prospective screening – For benefits of others – E.g. screening of immigrants from infectious diseases 8/12/2012 Dr.san san oo_commed 10
  • 11. 3. Research purposes – More basic knowledge about natural history of diseases – E.g. chronic diseases (cancer, hypertension) 4. Educational opportunities – Creating public awareness and educating heath professionals – E.g. screening for diabetes 8/12/2012 Dr.san san oo_commed 11
  • 12. Types of screening 1. Mass screening – Whole population – Sub groups 2. High risk or selective screening – High risk groups – Screening of diabetes, hypertension, breast cancer in other members of family 3. Multiphasic screening – Two or more screening tests at one time 8/12/2012 Dr.san san oo_commed 12
  • 13. Criteria for screening • Two considerations 1. The disease 2. The test 8/12/2012 Dr.san san oo_commed 13
  • 14. IATROGENIC 1. Condition should be important (I) 2. An acceptable treatment should be available for disease (A) 3. Diagnostic and treatment facilities should be available (T) 4. A recognizable early symptomatic stage is required (R) 5. Opinions on who treat must be agreed (O) 8/12/2012 Dr.san san oo_commed 14
  • 15. 6. The safety of the test is guaranteed (G) 7. The test examination must be acceptable to the patient (E) 8. The untreated natural history of the disease must be known (N) 9. The test should be inexpensive (I) 10. Screening must be continuous (C) 8/12/2012 Dr.san san oo_commed 15
  • 16. Some screening tests Pregnancy Infancy • Anaemia • Hearing defects • Hypertension toxaemia • Visual defects • Rh status • Haemoglobinopathies • Syphilis (VDRL) • Spina bifida • Diabetes • HIV • Neural tube defects • Down’s syndrome 8/12/2012 Dr.san san oo_commed 16
  • 17. Middle aged men and women Elderly • Hypertension • Cancer • Cancer • Glaucoma • Diabetes mellitus • Cataract • Serum cholesterol • Chronic bronchitis • obesity • Nutritional disorders 8/12/2012 Dr.san san oo_commed 17
  • 18. Validity • The extent the test accurately measures what it purports to measure • The ability of a test to separate or distinguish those who have the disease from those who do not • Two components (expressed as %) 1. Sensitivity 2. Specificity 8/12/2012 Dr.san san oo_commed 18
  • 19. Test with dichotomous results (positive or negative) 8/12/2012 Dr.san san oo_commed 19
  • 20. Two by two table Screening test Diagnosis (Gold standard test) Total Diseased Not diseased Positive a (True positives) b (False negatives) a+b Negative c (False negatives) d (True negatives) c+d Total a+c b+d a+b+c+d 8/12/2012 Dr.san san oo_commed 20
  • 21. Evaluation of a screening test 1. Sensitivity 2. Specificity 3. Predictive value of a positive test 4. Predictive value of a negative test 5. Percentage of false negatives 6. Percentage of false positives 8/12/2012 Dr.san san oo_commed 21
  • 22. Sensitivity • The ability of a test to Screening Diagnosis Total test identify correctly those who have the disease Diseased Not diseased • Proportion of individuals with the Positive a b a+b (True (False disease who are positives) positives) correctly identified by the test Negative c d c+d (False (True • True positives negatives) negatives) • a/a+c Total a+c b+d a+ b+c +d 8/12/2012 Dr.san san oo_commed 22
  • 23. • A measure of the probability of correctly diagnosing a case • The probability that any given case will be identified by the test • A 80% sensitivity means • 80% of the diseased people screened by the test will give a “true positive” result • The proportion of diseased people who are correctly identified as “positive” by the test is 80% 8/12/2012 Dr.san san oo_commed 23
  • 24. Specificity • The ability of a test to Screening Diagnosis Total test identify correctly those who do not have the Diseased Not diseased disease Positive a b a+b • Proportion of individuals (True (False without the disease who positives) positives) are correctly identified by Negative c d c+d the test (False (True negatives) negatives) • True negatives • d/b+d Total a+c b+d a+b+c+d 8/12/2012 Dr.san san oo_commed 24
  • 25. • A measure of the probability of correctly identifying a non-diseased person with a screening test • A 90% specificity means • 90% of the non-diseased people screened by the test will give “ true negative” result • The proportion of non-diseased people who are correctly identified as negative by the test is 90% 8/12/2012 Dr.san san oo_commed 25
  • 26. Example (1) Screening test Diagnosis (cervical biopsy) Total Pap smear Diseased Not diseased Positive 160 240 400 Negative 40 560 600 Total 200 800 1,000 Sensitivity = 160/200 * 100 = 80% •80% of women having Ca cervix screened by Pap smear will give “ true positive” result. •The proportion of women having Ca cervix who are correctly identified as positive by Pap smear is 80%. Specificity = 560/800 * 100 = 70% •70% of women not having Ca cervix screened by Pap smear will give “true negative” result. •The proportion of women not having Ca cervix who are correctly identified as negative by Pap smear is 70%. 8/12/2012 Dr.san san oo_commed 26
  • 27. False negatives • Patients who actually Screening Diagnosis Total have the disease are told test that they do not have the disease Diseased Not diseased • c/a + c • False reassurance Positive a b a+b (True (False • Ignore the development positives) positives) of symptoms and signs • Critical Negative c d c+d (False (True – if effective intervention is negatives) negatives) available (e.g. cancer) • Very sensitive test has Total a+c b+d a+b+c+d fewer FN 8/12/2012 Dr.san san oo_commed 27
  • 28. False positives • Patients who do not Screening Diagnosis Total have the disease are test told that they have Diseased Not • b/b+d diseased • Further tests Positive a b a+b • Expenses (True (False positives) positives) • Anxiety and worry • Limitation in Negative c d c+d employment (False negatives) (True negatives) • A high specificity screening test has fewer Total a+c b+d a+b+c+d FP 8/12/2012 Dr.san san oo_commed 28
  • 29. Sensitivity or Specificity ? • 100% as much as possible (Ideal) • Gain sensitivity at the expense of specificity and vice versa (Practice) • High sensitivity with fewer false negatives – Effective intervention especially at the early stage of the natural history of disease • High specificity with fewer false positives – Serious and untreatable • No screening test is perfect i.e. 100% sensitivity and 100% specificity 8/12/2012 Dr.san san oo_commed 29
  • 30. Tests of continuous variables • Blood pressure No “positive” or • Blood glucose level “negative” result • The use of cut-off values 8/12/2012 Dr.san san oo_commed 30
  • 31. 8/12/2012 Dr.san san oo_commed Downloaded from: StudentConsult (on 27 November 2010 02:13 AM) 31 © 2005 Elsevier
  • 32. Trade-off between sensitivity and specificity • Cut off level at 80 mg/dl – All diabetes are identified (100% sensitivity) – Many FP – Very low specificity • Cut off level at 200 mg/dl – All non diabetes are correctly identified (100% specificity) – Many FN – Very low sensitivity 8/12/2012 Dr.san san oo_commed 32
  • 33. Dilemma • High cutoff or low cutoff ? • Only have 2 groups – Test positives – Test negatives • Depend on the relative importance of – False positives – False negatives 8/12/2012 Dr.san san oo_commed 33
  • 34. Decision • When the disease is – Lethal High sensitivity – Early detection low cutoff values improves the prognosis (E.g. cervical cancer, breast cancer) – Tolerable FP • When the disease – Tx not change much High specificity – Need to limit FP high cutoff values (E.g. diabetes) 8/12/2012 Dr.san san oo_commed 34
  • 35. How to choose the best cutoff points • The Receiver operator curve (ROC) 8/12/2012 Dr.san san oo_commed 35
  • 36. Receiver Operator Characteristic (ROC) Curve ROC curve to determine best cutoff point for scc by means of meanrlu • Plot true positive rate 100 (sensitivity) against 90 50 10 false positive rate 100 80 (1-specificity) for several s 70 1000 (mean rlu) choice of positively e n 60 criterion 10000 s i 50 • choose closest to top left ti 40 25000 50000 corner to maximized the vi 30 discriminative ability of y t 20 the test 10 0 0 20 40 60 80 100 8/12/2012 Dr.san san oo_commed 1- specificity 36
  • 37. Receiver Operator Characteristic (ROC) Curve ROC curve to determine best cutoff point for Wilsom Risk sum • The area under the curve scoring to detect difficulty of endotracheal intubation represent overall 100 0 1 90 accuracy of the test 80 • useful to compare two 70 2 test sensitivity 60 3 50 40 30 20 5 10 0 8/12/2012 Dr.san san oo_commed 37 0 20 40 60 80 100 1- specificity
  • 38. If the test results are positive, what is the probability that this patient has the disease? 8/12/2012 Dr.san san oo_commed Downloaded from: StudentConsult (on 26 November 2010 11:10 AM) 38 © 2005 Elsevier
  • 39. Predictive accuracy • Diagnostic power of the test • Depend upon 1. Sensitivity 2. Specificity 3. Prevalence of disease • Two measures 1. Predictive value of a positive test 2. Predictive value of a negative test 8/12/2012 Dr.san san oo_commed 39
  • 40. Predictive value of a positive test • The probability that an Screening Diagnosis Total test individual with a Diseased Not positive test result has diseased the disease Positive a b a+b • a/a+b (True positives) (False positives) • A 44% PPV means Negative c d c+d • 44% of the people with (False (True positive test result have the negatives) negative) disease in question Total a+c b+d a+b+c+d 8/12/2012 Dr.san san oo_commed 40
  • 41. Predictive value of a negative test • The probability that an Screening Diagnosis Total test individual with a Diseased Not negative test result diseased does not have the Positive a b a+b disease (True (False positives) positives) • d/c+d Negative c d c+d • A 98% NPV means (False (True negatives) negatives) • 98% of the people with negative test result do not Total a+c b+d a+b+c+d have the disease in question 8/12/2012 Dr.san san oo_commed 41
  • 42. Example (2) Screening test Diagnosis (cervical biopsy) Total Pap smear Diseased Not diseased Positive 160 240 400 Negative 40 560 600 Total 200 800 1,000 PPV = 160/400 * 100 = 40% •40% of women with positive Pap smear result suffered from Ca cervix. NPV = 560/600 * 100 = 93% •93% of women with negative Pap smear result do not suffer from Ca cervix. 8/12/2012 Dr.san san oo_commed 42
  • 43. Relationship between Predictive value and Disease Prevalence • There are two community with different breast cancer prevalence; – 50/1,000pop and 30/1,000pop. • Both community has total population of 1,600 • If we are going to apply a screening test with 95% sensitivity and 85% specificity • what will be the predictive value of positive and negative in that communities? 8/12/2012 Dr.san san oo_commed 43
  • 44. Calculation for community with 50/1,000 pop Breast No breast Totals cancer D+ cancer D- Test T+ 76(step 4) 228(step 7) 304(step8) sensitivity Test T - 4(step 6) 1292(step 5) 1296(step 5) specificity Totals 80(step 2) 1520(step 3) 1,600(step 1) prevalence PVP=76/304= 0.25 PVN=1292/1296=.0.997 8/12/2012 Dr.san san oo_commed 44
  • 45. Calculation for community with 30/1,000 pop Breast No breast Totals cancer D+ cancer D- Test T+ 45.6(step 4) 232.8(step 7) 278.4(step8) sensitivity Test T - 2.4(step 6) 1319.2(step 5) 1321.6(step 5) specificity Totals 48(step 2) 1552(step 3) 1,600(step 1) prevalence PVP=45.6/278.4= 0.16 PVN=1319.2/1321.6=.0.998 8/12/2012 Dr.san san oo_commed 45
  • 46. The higher the prevalence the greater the predictive value of positive 8/12/2012 Dr.san san oo_commed Downloaded from: StudentConsult (on 26 November 2010 11:38 AM) 46 © 2005 Elsevier
  • 47. Why should we be concerned ? • Directed to – High risk target population • Most productive and efficient • More motivated to participate • More likely to take recommended action 8/12/2012 Dr.san san oo_commed 47
  • 48. Efficiency of a test – The percentage of all true positive and true negative results – a+d / a+b+c+d – The higher the value, the more efficient the measure 8/12/2012 Dr.san san oo_commed 48
  • 49. Is test useful? • Likelihood ratio (LR) – The likelihood that the test result would be expected in a patient with the condition compared to the likelihood that the same result would be expected in a patient without the condition – Unlike predictive values, likelihood ratios are not influenced by prevalence of the disease 8/12/2012 Dr.san san oo_commed 49
  • 50. • Likelihood ratio (Positive) – Divide the sensitivity by 1- specificity • Likelihood ratio (Negative) – Divide the 1- sensitivity by specificity 8/12/2012 Dr.san san oo_commed 50
  • 51. Likelihood Ratios Positive Likelihood ratio positive D+ D- (LR+) is the ratio of the sensitivity of a test to the false T+ a b a+b positive error rate of the test (1- specificity) T- c d c+d The higher the ratio is the better the test. a+c b+d a+b+c+ LR+ = [a/(a+c)] / [b/(b+d)] 8/12/2012 Dr.san san oo_commed 51
  • 52. Likelihood Ratios Negative Likelihood ratio negative (LR-) is the ratio of the false negative error rate of D+ D- a test (1- sensitivity )to the specificity of the test T+ a b a+b The closer the ratio is to 0 the better the test. T- c d c+d a+c b+d a+b+c+d LR- = [c/(a+c)] / [d/(b+d)] 8/12/2012 Dr.san san oo_commed 52
  • 53. Summary • Concept of a screening test • How good is a screening test? (Validity) • Question for physician (Predictive accuracy) • Cutoff values • Is test useful? (LR) 8/12/2012 Dr.san san oo_commed 53
  • 54. References 1. Park. K., 2009. Park’s Textbook of Preventive and Social Medicine. pp 123-130. 20th Edition. 2. Gordis. L., 2009. Epidemiology. pp 85-108. 4th Edition 3. Petrie. A., and Sabin. C.,2000. Medical Statistics at a Glance. pp 90-92 8/12/2012 Dr.san san oo_commed 54
  • 55. Assignment Pelvic scan Ovarian cancer Total (n) Present Absent abnormal 15 20 35 normal 5 60 65 Total 20 80 100 A hundred women at high risk of ovarian carcinoma have a pelvic ultrasound scan. The findings after scan and surgery are shown in the table. Calculate the following measures and interpret them. 1. Sensitivity 2. Specificity 3. False negatives 4. False positives 5. Positive Predictive value 6. Negative Predictive value 8/12/2012 Dr.san san oo_commed 55
  • 56. • A new screening test with sensitivity of 80% and specificity of 90% was performed on 1,000 persons for detection of avian influenza H5N1 infection. The prevalence of disease was 20% in the general population. Compute the following and interpret them. – Construct 2x2 table. – Calculate positive predictive value of the test. – Calculate false positive of positive test. 8/12/2012 Dr.san san oo_commed 56