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Analysing medical
  performance evaluation
    data for relicensure
         purposes
           Ajit Narayanan
School of Computing and Mathematical
                Sciences
  Auckland University of Technology

                                       1
Background
• In 1998 the General Medical Council (GMC),
  which registers and regulates doctors practising
  in the United Kingdom, determined that “all
  doctors should be prepared to demonstrate at
  regular intervals that they remain up to date and
  fit to practise”
• Shortly afterwards, GMC proposed that
  participation in such a process should become a
  condition of continued registration
  (“relicensure”/revalidation) of 200,000 doctors in
  the UK
• GMC attracted by the use of questionnaires 2
  completed by patients and colleagues as a
Overview of project
• Limited published evidence available regarding the
  reliability, validity and effectiveness of relicensure
  processes in the medical domain
• The overall aim was to conduct a large scale survey
  of doctors undertaking multi-source feedback (MSF)
  using the GMC patient and colleague questionnaires
• Between 1999 and 2003, GMC investigated various
  questionnaires („tools‟) for use in MSF
• Preliminary work undertaken by Leeds University
  Medical Education Unit (Sue Kilminster, Godfrey Pell,
  Trudie Roberts: „Patient and Colleague
  Questionnaires: Validation Report to the GMC,‟ May
  2005)
                                                       3
Objectives of feasibility
    project (2005-2011)
• In 2005, GMC commissioned the
  Peninsula Medical School and an
  independent survey company, CFEP, to
  trial the tools with doctors in general
  practice and then more widely across
  different specialties.
• Are the MSF tools (patient
  questionnaire, colleague questionnaire)
  fit for purpose?
• Do the tools provide a first level      4
Specific objectives

• What are statistical properties of questionnaires in
  terms of reliability and validity?
•   What are operational issues involved in collecting
    patient and colleague data?
•    Once we have the data, how can we use it to help
    identify doctors for further scrutiny?
•   Overall, GMC/PMS/CFEP project deals with:
    • how to collect the data
    • how to analyse the data
• My role was one of the statistical consultants to the   5
  GMC/PMS/CFEP project
Less than                                          Don‟t
                                               Poor
                                                          satisfactory
                                                                          Satisfactory     Good   Very good
                                                                                                              know
                                                                                                                             5 point Lickert
1    Clinical knowledge                                                                                  
2    Diagnosis                                                                                           
                                                                                                                             scale
                                                                                                                             Colleague
3    Clinical decision making                                                                                          questionnaire
4
     Treatment
                                                                                                         
5
     (including practical procedures)

     Prescribing                                                                                         
                                                                                                                             questions
6    Medical record keeping                                                                              
7
     Recognising and working within
     limitations                                                                                                       14 core questions
8
     Keeping knowledge and skills up to
     date                                                                                                
9
     Reviewing and reflecting on own
     performance                                                                                                       on specific
10   Teaching (students, trainees, others)                                                                             aspects of
11   Supervising colleagues                                                                              
12
     Commitment to care and wellbeing of
     patients                                                                                            
                                                                                                                             professionalism
13
     Communication with patients and
     relatives                                                                                           
14   Working effectively with colleagues                                                                               4 global
15   Effective time management                                                                           
                                             Strongly
                                                         Disagree        Neutral         Agree
                                                                                                  Strongly    Don‟t
                                                                                                                             assessments
                                             disagree                                              agree      know

16
     I am confident that this doctor
     respects patient confidentiality                                                                    
17
     I am confident that this doctor is
     honest and trustworthy                                                                                            1 summative
     I am confident that this doctor‟s
18   performance is not impaired by ill
     health
                                                                                                                       question (binary)
19    I am confident that this doctor is fit to practise medicine
                                                                                  Yes
                                                                                                       No
                                                                                                                     Don‟t know


                                                                                                                                               6
4
                        How good was your doctor today at each of the following? (Please tick one box in each line)


                                                                                 Less than                                                   Does not
                                                                   Poor                        Satisfactory      Good      Very good
                                                                                satisfactory                                                  apply



       a                Being polite
                                                                                                                                            
                                                                                                                                                        Patient
       b                Making you feel at ease
                                                                                                                                            
                                                                                                                                                        questionnair
       c                Listening to you
                                                                                                                                            
                                                                                                                                                        e questions
       d                Assessing your medical condition
                                                                                                                                            
       e                Explaining your condition and treatment
                                                                                                                                            
       f
                        Involving you in decisions about your
                        treatment                                                                                                           
                                                                                                                                                        7 core
       g                Providing or arranging treatment for you
                                                                                                                                            
                                                                                                                                                        questions on
           5                Please decide how strongly you agree or disagree with the following statements by ticking one box
                            in each line.
                                                                                                                                                        professionalis
                                                                        Strongl
                                                                           y         Disagr
                                                                                                 Neutral      Agree
                                                                                                                        Strongl
                                                                                                                           y
                                                                                                                                        Does not        m
                                                                        disagre        ee                                                apply
                                                                                                                        agree
                                                                           e
                            I am confident that this doctor
           a                will keep information about me
                            confidential
                                                                                                                                                  2 global
           b
                            I am confident that this doctor is
                            honest and trustworthy                                                                                                assessments

                                                                                                                                                        2 summative
6   I am confident about this doctor’s ability to provide care
                                                                                                                                 Yes
                                                                                                                                           No

                                                                                                                                                        assessments
                                                                                                                                                        (binary) 7
7   I would be completely happy to see this doctor again
                                                                                                                                 Yes
                                                                                                                                           No
Survey methods 1 (3rd cycle)
• Doctors from eleven sites in England and
  Wales took part in the survey between Spring
  2008 and September 2010.
• These included four acute hospital trusts, one
  mental health trust, four primary care
  organisations and one independent sector
  (non-NHS) organisation
• Also, an anaesthetics department at a
  university hospital NHS Trust contributed to
  the main survey work.
                                               8
Survey methods 2
• For most doctors, clinic receptionists or supporting
  administrative staff were asked to distribute a PQ
  pack to 45 consecutive patients (or carers) who are
  consulting with the doctor.
• Doctors were requested to complete and return the
  contact details (whenever possible including emails)
  for 20 colleagues who were able to comment on their
  practice.
• Normally, approximately half of those nominated
  should be medical colleagues and the remainder
  non-medical colleagues (e.g. nurses, allied health
  professionals, administrative or managerial staff).  9
Third cycle (2010)

• 1065 doctors participated in both PQ
  and CQ
• 908 doctors returned 22 or more PQ
  responses (29284 PQs, mean 32.3 PQs
  per doctor, median 36)
• 1050 doctors returned 8 or more CQ
  responses (17012 CQs, mean 16.2 CQ
  per doctor, median 17).
• 751 doctors provided sufficient returns
                                          10
  on both CQ and PQ
Reliability
• Cronbach α = 0.94 for CQ
• Cronbach α = 0.896 for PQ
• Other measures indicate that
  questionnaires are highly reliable in that
  respondents agreed on how to interpret
  the items and how to use the scales to
  assign ratings to subjects

                                           11
Results for PQ




Left table: Unaggregated (raw patient scores)
Right table: Aggregated (patient scores when aggregated 12
                                                        by
doctor they are responding to)
Results for CQ




                 13
Problem
•The mean scores for doctors (aggregated level) are
very high

•How does one identify potential under-performers
given the high ratings provided by raters?

•Since there are so few doctors who receive an adverse
rating on the summative items of CQ and PQ, the task
is to find patterns in the aggregated patient and
colleague scores that identify doctors for possible
further scrutiny and separate such doctors from those
who do not require further scrutiny.

•Also, it may be important to identify doctors whose     14
performance does not warrant placing them in the
Standards-based approach
• Even one standard deviation from the mean can result in a
  score above the maximum possible (e.g. mean of 4.85 with
  standard deviation of ±0.2 on a scale 1-5), so what is the
  meaning of standard deviation in this context?
•    Also, falling three standard deviations below the mean
    may result in a doctor still obtaining a score that means
    ‘good’ (e.g. average 4.85 – 3*0.2=4.25).
•    Data normalisation may lead to the accusation that, if the
    questionnaires are highly reliable statistically, data is being
    massaged for the political purpose of identifying doctors
    for further scrutiny when, in fact, the original scores
    indicate no cause for concern.
• Z-scores are representations of raw scores in terms of
  standard deviations from the mean                               15
Z-scores
ID   item1   Item2   Item3   Item4   Item5   zitem1   zitem2   zitem3   zitem4   zitem5   below-1.96stds below -1std
 1    3.78    3.50    3.67    3.78    3.60    -2.16    -2.26    -1.65    -1.27    -0.83       2              4
 2    4.38    4.25    3.88    3.57    4.43    -0.31    -0.34    -1.12    -1.72    0.40        0              2
 3    4.40    4.40    4.50    5.00    4.40    -0.23    0.04     0.46     1.36     0.35        0              0
 4    4.58    4.56    4.53    4.50    4.44     0.32    0.46     0.54     0.28     0.41        0              0
 5    4.79    4.63    4.59    4.33    4.71     0.97    0.61     0.69     -0.08    0.81        0              0
 6    4.39    4.56    4.33    4.43    4.53    -0.27    0.46     0.04     0.13     0.55        0              0
 7    4.75    4.75    4.75    4.60    4.64     0.85    0.93     1.10     0.50     0.70        0              0
 8    4.42    4.08    3.93    4.00    3.92    -0.18    -0.79    -0.99    -0.79    -0.36       0              0
 9    4.33    4.27    4.17    4.54    4.46    -0.44    -0.29    -0.38    0.37     0.44        0              0
10    4.94    4.85    4.83    4.93    2.50     1.45    1.18     1.31     1.22     -2.47       1              1



Synthetic database of 10 doctors with aggregated means
across 5 items (item1-item5), together with standardised z
scores for these items (zitem1-zitem5, where z represents
the standard deviation from the mean for that item). The
final two columns indicate the number of items below −1.96
standard deviations and below minus one standard
deviation from the mean, respectively. The original raw
scores of raters (Likert scale range 1-5) are not shown 16
Cluster analysis
• Cluster analysis explores and mines
  data with the purpose of categorising
  different samples into groups (clusters)
  such that the degree of association
  between two samples is maximal if they
  belong to the same cluster and minimal
  otherwise.

                                         17
Meaning of clusters
• Ideally, all cases within a cluster have
  maximum similarity while cases across
  different clusters have a high degree of
  dissimilarity
• Cases within a cluster have more in
  common with each other than they do
  with cases in other clusters.

                                             18
Simple clustering example


          Gene 1   Gene 2   Gene 3   Gene 4   Gene 5



            0        1        0        0        0      Imagine that we have
Patient
1
                                                       4 patients and their
                                                       measurement on five
            0        0        1        1        1      genes. Are there any
Patient
2                                                      natural groupings
            1        1        0        0        1
                                                       among these patients
Patient                                                depending on their
3
                                                       gene profiles?
            0        0        1        1        0
Patient
4




                                                                      19
Step 1: calculate pairwise coefficients –
         Workings                                          P1/P2: 1+0+0+0+0=1/5=0.2
                                                           P1/P3: 0+1+1+1+0=3/5=0.6
          Gene         Gene      Gene     Gene      Gene
          1            2         3        4         5      P1/P4: 1+0+0+0+1=2/5=0.4
                                                           P2/P3: 0+0+0+0+1=1/5=0.2
              0          1          0       0         0
Patien
                                                           P2/P4: 1+1+1+1+0=4/5=0.8 (ranked first in this step)
t1
                                                           P3/P4: 0+0+0+0+0=0.0
              0          0          1       1         1
Patien                                                     Step 2: calculate pairwise coefficients, using P2+P4 as a
t2                                                         „superpatient‟ –
              1          1          0       0         1    P1/P2+P4: 1+0+0+0+0.5=1.5/5=0.3
Patien
t3                                                         P3/P2+P4: 0+0+0+0+0.5=0.5/5=0.1
              0          0          1       1         0    P1/P3 = 0.6 (as before) (ranked first in this step)
Patien
t4                                                         Step 3: calculate pairwise coefficients, using P2+P4 as one
                                                           superpatient and P1+P3 as the second superpatient –
                                                           P1+P3/P2+P4: 0.5+0+0+0+0.5= 1/5=0.2 (final step)
0.0                          Cluster dendogram


0.2                                              That is, two natural groupings
0.6
                                                 occur in the data, with P2 and
                                                 P4 forming one tight group
0.8                                              and P1 and P3 forming
1.0
                                                 another (looser) group.                                         20
         P2       P4    P1         P3
Hierarchical cluster analysis
• HCA (agglomerative) clustering first assigns each
  case to its own cluster, followed by an iterative
  process whereby the two most similar clusters form a
  new cluster until one overall cluster results.
• Clusters that are added to each other can consist of
  single cases or multiple cases.
• The output is in the form of a taxonomy or
  hierarchical tree („dendogram‟).
• Cases of increasing dissimilarity are aggregated at
  various levels of the tree using a rescaled metric
  (typically ranging from 1-25).
                                                     21
Cluster dendogram for
             synthetic data
Tree indicates that cases
5-7 and 4-6-9 have more
in common with each
other than with any other.

Case 1 is a clear „outlier‟
in that it is clustered last.

Case 10 is also an outlier,
but not so much as Case
1

3 natural groupings plus         22
ID   item1   Item2   Item3   Item4   Item5   zitem1   zitem2   zitem3   zitem4   zitem5   below-1.96stds below -1std
 1    3.78    3.50    3.67    3.78    3.60    -2.16    -2.26    -1.65    -1.27    -0.83       2              4
 2    4.38    4.25    3.88    3.57    4.43    -0.31    -0.34    -1.12    -1.72    0.40        0              2
 3    4.40    4.40    4.50    5.00    4.40    -0.23    0.04     0.46     1.36     0.35        0              0
 4    4.58    4.56    4.53    4.50    4.44     0.32    0.46     0.54     0.28     0.41        0              0
 5    4.79    4.63    4.59    4.33    4.71     0.97    0.61     0.69     -0.08    0.81        0              0
 6    4.39    4.56    4.33    4.43    4.53    -0.27    0.46     0.04     0.13     0.55        0              0
 7    4.75    4.75    4.75    4.60    4.64     0.85    0.93     1.10     0.50     0.70        0              0
 8    4.42    4.08    3.93    4.00    3.92    -0.18    -0.79    -0.99    -0.79    -0.36       0              0
 9    4.33    4.27    4.17    4.54    4.46    -0.44    -0.29    -0.38    0.37     0.44        0              0
10    4.94    4.85    4.83    4.93    2.50     1.45    1.18     1.31     1.22     -2.47       1              1




                                                                                                                  23
Application to CQ and PQ
• The aim here is to cluster satisfactory
  doctors in a group, or in groups, that are
  separate from the group, or groups, of
  underperforming doctors based on
  similarity and dissimilarity measures
  calculated from their scores on
  performative questionnaire items (18 for
  CQ, 9 for PQ, 27 when combined).
                                           24
9 performance items from PQ




Left: full cluster dendogram for 908 doctors
using PQ data.

Right: expansion of bottom part of tree
identifying potentially under-performing doctors,
                                             25
according to patients
18
                                  performance
                                  items from
                                  CQ




Left: full cluster dendogram for 1050 doctors using
CQ data.
Right: expansion of bottom part of tree identifying
potentially under-performing doctors, according to
                                             26
colleagues
27
                                         performanc
                                         e items from
                                         both PQ and
                                         CQ




Left: Full cluster diagram for 751 doctors using
both CQ and PQ data.
Right: expansion of bottom part of tree
identifying potential under-performing doctors,    27
according to both patients and colleagues
Conclusions
• Both the GMC patient and colleague
  questionnaires represent instruments which
  would provide a reasonable basis for the
  collation of evidence regarding a doctor‟s
  professional performance, according to our
  reliability analysis so far.
• Raters currently are very reluctant to give
  adverse ratings using the summative items.
• Other methods must be found that can tease
  out of the data any concerns that raters have.

                                                28
Conclusions
• Even if a doctor is ranked bottom (irrespective
  of ranking method used), we must be careful
  to interpret MSF results in the context of the
  doctor‟s setting and specialty.
• There is no absolute threshold of
  performance. Instead, the identification of
  doctors for potential further scrutiny should be
  supported by other evidence of performance,
  given the financial, personal and professional
  implications.
• Several medical councils have been following 29
Acknowledgements
Professor John Campbell (PMS*, Academic Lead)
Dr Suzanne Richards (Academic Project Manager, PMS)
Mr Andy Dickens (Research Fellow, PMS)
Associate Professor Michael Greco (Service Development Lead,
   CFEP**)
Ms Jacqueline Hill (Research Fellow, PMS)
Dr Jeremy Hobart (Reader, PMS)
Professor Geoff Norman (Consultant)
Mr Martin Roberts (Statistician, Research Fellow, PMS)
Dr Christine Wright (Research Fellow, PMS)

*PMS: Peninsula Medical School at the Universities of Exeter and
   Plymouth., UK. Now called Peninsula College of Medicine and
   Dentistry.
**CFEP: Based at the Innovation Centre, University of Exeter, and in
   Brisbane, Australia.                                                30

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Analysing medical performance evaluation data for relicensure purposes

  • 1. Analysing medical performance evaluation data for relicensure purposes Ajit Narayanan School of Computing and Mathematical Sciences Auckland University of Technology 1
  • 2. Background • In 1998 the General Medical Council (GMC), which registers and regulates doctors practising in the United Kingdom, determined that “all doctors should be prepared to demonstrate at regular intervals that they remain up to date and fit to practise” • Shortly afterwards, GMC proposed that participation in such a process should become a condition of continued registration (“relicensure”/revalidation) of 200,000 doctors in the UK • GMC attracted by the use of questionnaires 2 completed by patients and colleagues as a
  • 3. Overview of project • Limited published evidence available regarding the reliability, validity and effectiveness of relicensure processes in the medical domain • The overall aim was to conduct a large scale survey of doctors undertaking multi-source feedback (MSF) using the GMC patient and colleague questionnaires • Between 1999 and 2003, GMC investigated various questionnaires („tools‟) for use in MSF • Preliminary work undertaken by Leeds University Medical Education Unit (Sue Kilminster, Godfrey Pell, Trudie Roberts: „Patient and Colleague Questionnaires: Validation Report to the GMC,‟ May 2005) 3
  • 4. Objectives of feasibility project (2005-2011) • In 2005, GMC commissioned the Peninsula Medical School and an independent survey company, CFEP, to trial the tools with doctors in general practice and then more widely across different specialties. • Are the MSF tools (patient questionnaire, colleague questionnaire) fit for purpose? • Do the tools provide a first level 4
  • 5. Specific objectives • What are statistical properties of questionnaires in terms of reliability and validity? • What are operational issues involved in collecting patient and colleague data? • Once we have the data, how can we use it to help identify doctors for further scrutiny? • Overall, GMC/PMS/CFEP project deals with: • how to collect the data • how to analyse the data • My role was one of the statistical consultants to the 5 GMC/PMS/CFEP project
  • 6. Less than Don‟t Poor satisfactory Satisfactory Good Very good know 5 point Lickert 1 Clinical knowledge       2 Diagnosis       scale Colleague 3 Clinical decision making       questionnaire 4 Treatment       5 (including practical procedures) Prescribing       questions 6 Medical record keeping       7 Recognising and working within limitations       14 core questions 8 Keeping knowledge and skills up to date       9 Reviewing and reflecting on own performance       on specific 10 Teaching (students, trainees, others)       aspects of 11 Supervising colleagues       12 Commitment to care and wellbeing of patients       professionalism 13 Communication with patients and relatives       14 Working effectively with colleagues       4 global 15 Effective time management       Strongly Disagree Neutral Agree Strongly Don‟t assessments disagree agree know 16 I am confident that this doctor respects patient confidentiality       17 I am confident that this doctor is honest and trustworthy       1 summative I am confident that this doctor‟s 18 performance is not impaired by ill health       question (binary) 19 I am confident that this doctor is fit to practise medicine  Yes  No  Don‟t know 6
  • 7. 4 How good was your doctor today at each of the following? (Please tick one box in each line) Less than Does not Poor Satisfactory Good Very good satisfactory apply a Being polite       Patient b Making you feel at ease       questionnair c Listening to you       e questions d Assessing your medical condition       e Explaining your condition and treatment       f Involving you in decisions about your treatment       7 core g Providing or arranging treatment for you       questions on 5 Please decide how strongly you agree or disagree with the following statements by ticking one box in each line. professionalis Strongl y Disagr Neutral Agree Strongl y Does not m disagre ee apply agree e I am confident that this doctor a will keep information about me confidential       2 global b I am confident that this doctor is honest and trustworthy       assessments 2 summative 6 I am confident about this doctor’s ability to provide care  Yes  No assessments (binary) 7 7 I would be completely happy to see this doctor again  Yes  No
  • 8. Survey methods 1 (3rd cycle) • Doctors from eleven sites in England and Wales took part in the survey between Spring 2008 and September 2010. • These included four acute hospital trusts, one mental health trust, four primary care organisations and one independent sector (non-NHS) organisation • Also, an anaesthetics department at a university hospital NHS Trust contributed to the main survey work. 8
  • 9. Survey methods 2 • For most doctors, clinic receptionists or supporting administrative staff were asked to distribute a PQ pack to 45 consecutive patients (or carers) who are consulting with the doctor. • Doctors were requested to complete and return the contact details (whenever possible including emails) for 20 colleagues who were able to comment on their practice. • Normally, approximately half of those nominated should be medical colleagues and the remainder non-medical colleagues (e.g. nurses, allied health professionals, administrative or managerial staff). 9
  • 10. Third cycle (2010) • 1065 doctors participated in both PQ and CQ • 908 doctors returned 22 or more PQ responses (29284 PQs, mean 32.3 PQs per doctor, median 36) • 1050 doctors returned 8 or more CQ responses (17012 CQs, mean 16.2 CQ per doctor, median 17). • 751 doctors provided sufficient returns 10 on both CQ and PQ
  • 11. Reliability • Cronbach α = 0.94 for CQ • Cronbach α = 0.896 for PQ • Other measures indicate that questionnaires are highly reliable in that respondents agreed on how to interpret the items and how to use the scales to assign ratings to subjects 11
  • 12. Results for PQ Left table: Unaggregated (raw patient scores) Right table: Aggregated (patient scores when aggregated 12 by doctor they are responding to)
  • 14. Problem •The mean scores for doctors (aggregated level) are very high •How does one identify potential under-performers given the high ratings provided by raters? •Since there are so few doctors who receive an adverse rating on the summative items of CQ and PQ, the task is to find patterns in the aggregated patient and colleague scores that identify doctors for possible further scrutiny and separate such doctors from those who do not require further scrutiny. •Also, it may be important to identify doctors whose 14 performance does not warrant placing them in the
  • 15. Standards-based approach • Even one standard deviation from the mean can result in a score above the maximum possible (e.g. mean of 4.85 with standard deviation of ±0.2 on a scale 1-5), so what is the meaning of standard deviation in this context? • Also, falling three standard deviations below the mean may result in a doctor still obtaining a score that means ‘good’ (e.g. average 4.85 – 3*0.2=4.25). • Data normalisation may lead to the accusation that, if the questionnaires are highly reliable statistically, data is being massaged for the political purpose of identifying doctors for further scrutiny when, in fact, the original scores indicate no cause for concern. • Z-scores are representations of raw scores in terms of standard deviations from the mean 15
  • 16. Z-scores ID item1 Item2 Item3 Item4 Item5 zitem1 zitem2 zitem3 zitem4 zitem5 below-1.96stds below -1std 1 3.78 3.50 3.67 3.78 3.60 -2.16 -2.26 -1.65 -1.27 -0.83 2 4 2 4.38 4.25 3.88 3.57 4.43 -0.31 -0.34 -1.12 -1.72 0.40 0 2 3 4.40 4.40 4.50 5.00 4.40 -0.23 0.04 0.46 1.36 0.35 0 0 4 4.58 4.56 4.53 4.50 4.44 0.32 0.46 0.54 0.28 0.41 0 0 5 4.79 4.63 4.59 4.33 4.71 0.97 0.61 0.69 -0.08 0.81 0 0 6 4.39 4.56 4.33 4.43 4.53 -0.27 0.46 0.04 0.13 0.55 0 0 7 4.75 4.75 4.75 4.60 4.64 0.85 0.93 1.10 0.50 0.70 0 0 8 4.42 4.08 3.93 4.00 3.92 -0.18 -0.79 -0.99 -0.79 -0.36 0 0 9 4.33 4.27 4.17 4.54 4.46 -0.44 -0.29 -0.38 0.37 0.44 0 0 10 4.94 4.85 4.83 4.93 2.50 1.45 1.18 1.31 1.22 -2.47 1 1 Synthetic database of 10 doctors with aggregated means across 5 items (item1-item5), together with standardised z scores for these items (zitem1-zitem5, where z represents the standard deviation from the mean for that item). The final two columns indicate the number of items below −1.96 standard deviations and below minus one standard deviation from the mean, respectively. The original raw scores of raters (Likert scale range 1-5) are not shown 16
  • 17. Cluster analysis • Cluster analysis explores and mines data with the purpose of categorising different samples into groups (clusters) such that the degree of association between two samples is maximal if they belong to the same cluster and minimal otherwise. 17
  • 18. Meaning of clusters • Ideally, all cases within a cluster have maximum similarity while cases across different clusters have a high degree of dissimilarity • Cases within a cluster have more in common with each other than they do with cases in other clusters. 18
  • 19. Simple clustering example Gene 1 Gene 2 Gene 3 Gene 4 Gene 5 0 1 0 0 0 Imagine that we have Patient 1 4 patients and their measurement on five 0 0 1 1 1 genes. Are there any Patient 2 natural groupings 1 1 0 0 1 among these patients Patient depending on their 3 gene profiles? 0 0 1 1 0 Patient 4 19
  • 20. Step 1: calculate pairwise coefficients – Workings P1/P2: 1+0+0+0+0=1/5=0.2 P1/P3: 0+1+1+1+0=3/5=0.6 Gene Gene Gene Gene Gene 1 2 3 4 5 P1/P4: 1+0+0+0+1=2/5=0.4 P2/P3: 0+0+0+0+1=1/5=0.2 0 1 0 0 0 Patien P2/P4: 1+1+1+1+0=4/5=0.8 (ranked first in this step) t1 P3/P4: 0+0+0+0+0=0.0 0 0 1 1 1 Patien Step 2: calculate pairwise coefficients, using P2+P4 as a t2 „superpatient‟ – 1 1 0 0 1 P1/P2+P4: 1+0+0+0+0.5=1.5/5=0.3 Patien t3 P3/P2+P4: 0+0+0+0+0.5=0.5/5=0.1 0 0 1 1 0 P1/P3 = 0.6 (as before) (ranked first in this step) Patien t4 Step 3: calculate pairwise coefficients, using P2+P4 as one superpatient and P1+P3 as the second superpatient – P1+P3/P2+P4: 0.5+0+0+0+0.5= 1/5=0.2 (final step) 0.0 Cluster dendogram 0.2 That is, two natural groupings 0.6 occur in the data, with P2 and P4 forming one tight group 0.8 and P1 and P3 forming 1.0 another (looser) group. 20 P2 P4 P1 P3
  • 21. Hierarchical cluster analysis • HCA (agglomerative) clustering first assigns each case to its own cluster, followed by an iterative process whereby the two most similar clusters form a new cluster until one overall cluster results. • Clusters that are added to each other can consist of single cases or multiple cases. • The output is in the form of a taxonomy or hierarchical tree („dendogram‟). • Cases of increasing dissimilarity are aggregated at various levels of the tree using a rescaled metric (typically ranging from 1-25). 21
  • 22. Cluster dendogram for synthetic data Tree indicates that cases 5-7 and 4-6-9 have more in common with each other than with any other. Case 1 is a clear „outlier‟ in that it is clustered last. Case 10 is also an outlier, but not so much as Case 1 3 natural groupings plus 22
  • 23. ID item1 Item2 Item3 Item4 Item5 zitem1 zitem2 zitem3 zitem4 zitem5 below-1.96stds below -1std 1 3.78 3.50 3.67 3.78 3.60 -2.16 -2.26 -1.65 -1.27 -0.83 2 4 2 4.38 4.25 3.88 3.57 4.43 -0.31 -0.34 -1.12 -1.72 0.40 0 2 3 4.40 4.40 4.50 5.00 4.40 -0.23 0.04 0.46 1.36 0.35 0 0 4 4.58 4.56 4.53 4.50 4.44 0.32 0.46 0.54 0.28 0.41 0 0 5 4.79 4.63 4.59 4.33 4.71 0.97 0.61 0.69 -0.08 0.81 0 0 6 4.39 4.56 4.33 4.43 4.53 -0.27 0.46 0.04 0.13 0.55 0 0 7 4.75 4.75 4.75 4.60 4.64 0.85 0.93 1.10 0.50 0.70 0 0 8 4.42 4.08 3.93 4.00 3.92 -0.18 -0.79 -0.99 -0.79 -0.36 0 0 9 4.33 4.27 4.17 4.54 4.46 -0.44 -0.29 -0.38 0.37 0.44 0 0 10 4.94 4.85 4.83 4.93 2.50 1.45 1.18 1.31 1.22 -2.47 1 1 23
  • 24. Application to CQ and PQ • The aim here is to cluster satisfactory doctors in a group, or in groups, that are separate from the group, or groups, of underperforming doctors based on similarity and dissimilarity measures calculated from their scores on performative questionnaire items (18 for CQ, 9 for PQ, 27 when combined). 24
  • 25. 9 performance items from PQ Left: full cluster dendogram for 908 doctors using PQ data. Right: expansion of bottom part of tree identifying potentially under-performing doctors, 25 according to patients
  • 26. 18 performance items from CQ Left: full cluster dendogram for 1050 doctors using CQ data. Right: expansion of bottom part of tree identifying potentially under-performing doctors, according to 26 colleagues
  • 27. 27 performanc e items from both PQ and CQ Left: Full cluster diagram for 751 doctors using both CQ and PQ data. Right: expansion of bottom part of tree identifying potential under-performing doctors, 27 according to both patients and colleagues
  • 28. Conclusions • Both the GMC patient and colleague questionnaires represent instruments which would provide a reasonable basis for the collation of evidence regarding a doctor‟s professional performance, according to our reliability analysis so far. • Raters currently are very reluctant to give adverse ratings using the summative items. • Other methods must be found that can tease out of the data any concerns that raters have. 28
  • 29. Conclusions • Even if a doctor is ranked bottom (irrespective of ranking method used), we must be careful to interpret MSF results in the context of the doctor‟s setting and specialty. • There is no absolute threshold of performance. Instead, the identification of doctors for potential further scrutiny should be supported by other evidence of performance, given the financial, personal and professional implications. • Several medical councils have been following 29
  • 30. Acknowledgements Professor John Campbell (PMS*, Academic Lead) Dr Suzanne Richards (Academic Project Manager, PMS) Mr Andy Dickens (Research Fellow, PMS) Associate Professor Michael Greco (Service Development Lead, CFEP**) Ms Jacqueline Hill (Research Fellow, PMS) Dr Jeremy Hobart (Reader, PMS) Professor Geoff Norman (Consultant) Mr Martin Roberts (Statistician, Research Fellow, PMS) Dr Christine Wright (Research Fellow, PMS) *PMS: Peninsula Medical School at the Universities of Exeter and Plymouth., UK. Now called Peninsula College of Medicine and Dentistry. **CFEP: Based at the Innovation Centre, University of Exeter, and in Brisbane, Australia. 30