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Statistical issues in patient reported
         outcome measures
                   Jonas Ranstam PhD



        RC Syd and Lund University, Lund, Sweden,
             Email: jonas.ranstam@med.lu.se
Science and uncertainty
“If you thought that science was certain - well, that is just an
                      error on your part.”




                    Richard P. Feynman
Uncertainty in clinical research
  Generalization from sample to population
Inference (naive)

Real outcome              Concluded
                           outcome
               Observed
               outcome
Inference (scientific)

   Real outcome                          Uncertainty
                                                                Concluded
                                        acknowledged
                                                                 outcome
                             Observed
                             outcome
 Biological
 variation                                                      Co-
                                                              morbidity

Measurement
   errors                                                   Effect
                                                          modification


   Selection                                      Case-
                                                   mix
                      Mis-
                  classification    Interaction
The statistician's task
To eliminate as much uncertainty as possible (by design) and
to quantify (in the analysis) what is left.
Statistical characteristics of PROs
1. Measured on an ordinal scale

2. Discrete distribution

3. Truncated distribution

4. Skewed distribution

5. Floor and/or ceiling effects


Are standard analysis methods appropriate?
Lillgraven S, Kristiansen IS, Kvien TK. Comparison of utility measures and their relationship
with other health status measures in 1041 patients with rheumatoid arthritis. Ann Rheum Dis
2010;69:1762-1767.
The EQ-5D index
Simulation studies at RC Syd show that

Type-1 error rate (risk of false positive findings)

EQ-5D is best analyzed using methods that assume a
Gaussian distribution, at least if n is large, between 20-50.
Non-parametric alternatives perform poorly with any n value.

Type-2 error rate (risk of false negative findings)

No single method can be recommended. All investigated
methods perform poorly for any distributional shape.
Complications
Longitudinal analyses
(of change, gain, delta-value, etc.)
Baseline versus change

                    Simulated data (n = 1000)

                    pre - post

                    correlation (pre, post) = 0




                    delta = post - pre

                    correlation (pre, post - pre) = -0.7
Baseline versus change
50% of the “change” can be explained by baseline.

When comparing “change” in different groups, always adjust
for imbalance at baseline (e.g. using ANCOVA).
RTM - Regression to the mean
If the first measurement of a variable is extreme, the second
measurement will tend to be closer to the average.

Note, this is a purely statistical phenomenon.




Galton F. Regression towards mediocrity in hereditary stature. J Anth Inst Gr
Br Ire.1886;15:246–263.
Hypothetical example: SF-36 PF

Baseline: mean = 80, SD = 17
Follow up: mean = 80, SD = 17
p ≈ 1.0
Hypothetical example: SF-36 PF

Baseline: mean = 48.7, SD = 8.6
Follow up: mean = 59.2, SD = 16.7
p < 0.001
RTM - Regression to the mean
The phenomenon explains the placebo effect in clinical trials
and apparent treatment effects found in some studies on
homeopathic drugs, bible reading, etc.
RTM - Easy to quantify
                                    (for Normally distributed endpoints)




Barnett AG, van der Pols JC, Dobson AJ. Regression to the mean: what it is and how to deal with it. Int J Epidemiol 2005;34:215–220
Hypothetical example of RTM in SF-36 PF

          Mean = 80, SD = 17, cut off = 60

           r    RTM
          0.0   28.4
          0.1   25.5
          0.2   22.7
          0.3   19.9
          0.4   17.0
          0.5   14.2
          0.6   11.3
          0.7    8.5
          0.8    5.7
          0.9    2.8
          1.0    0
Regression-to-the-mean
Evaluation of a single group’s development over time
should be avoided, or at least include a comparison with
the expected RTM effect.
Practical consequences
When evaluating change, use a control group.

Adjust for baseline imbalance.

The validity of this procedure with multi-modal data
(e.g. the EQ-5D index) is unknown.
Thank you for your attention!
Can a multi-scale PRO be used as a
primary endpoint in a randomized trial?
Can a multi-scale PRO be used as a
primary endpoint in a randomized trial?
Can a PRO be used as a primary
endpoint in a randomized trial?
PRO as primary endpoint

“A PRO measurement can be the clinical trial’s primary
endpoint measure, a co-primary endpoint measure ... or a
secondary endpoint measure whose analysis is considered
according to a hierarchical sequence.“




FDA. Patient-Reported Outcome Measures: Use in Medical Product Development
to Support Labeling Claims. Guidance for Industry.
Can a multi-scale PRO be used as a
primary endpoint in a randomized trial?
PRO and HRQL

“The term PRO is proposed as an umbrella term to cover both
single dimension and multi-dimension measures of
symptoms, health-related quality of life (HRQL), health status,
adherence to treatment, satisfaction with treatment, etc.”

“In the context of drug approval, HRQL is considered to
represent a specific type/subset of PROs, distinguished by its
multi-dimensionality.”


EMEA. Reflection paper on the regulatory guidance for the use of health-related
quality of life (HRQL) measures in the evaluation of medicinal products.
Can a multi-scale PRO be used as a
primary endpoint in a randomized trial?
HRQL as primary endpoint

“In general, the methodology for assessing the effect on
HRQL is similar to the methodology used in any efficacy trial,
except for issues related to the nature of the instruments,
which are generally composed of multi-items, and multi-
domains.

Briefly, it is recommended that HRQL instrument be
previously validated for the condition studied...”



EMEA. Reflection paper on the regulatory guidance for the use of health-related
quality of life (HRQL) measures in the evaluation of medicinal products.
FDA. Patient-Reported Outcome Measures: Use in Medical Product Development to
Support Labeling Claims. Guidance for Industry.

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Sof stat issues_pro

  • 1.
  • 2. Statistical issues in patient reported outcome measures Jonas Ranstam PhD RC Syd and Lund University, Lund, Sweden, Email: jonas.ranstam@med.lu.se
  • 3. Science and uncertainty “If you thought that science was certain - well, that is just an error on your part.” Richard P. Feynman
  • 4. Uncertainty in clinical research Generalization from sample to population
  • 5. Inference (naive) Real outcome Concluded outcome Observed outcome
  • 6. Inference (scientific) Real outcome Uncertainty Concluded acknowledged outcome Observed outcome Biological variation Co- morbidity Measurement errors Effect modification Selection Case- mix Mis- classification Interaction
  • 7. The statistician's task To eliminate as much uncertainty as possible (by design) and to quantify (in the analysis) what is left.
  • 8. Statistical characteristics of PROs 1. Measured on an ordinal scale 2. Discrete distribution 3. Truncated distribution 4. Skewed distribution 5. Floor and/or ceiling effects Are standard analysis methods appropriate?
  • 9.
  • 10. Lillgraven S, Kristiansen IS, Kvien TK. Comparison of utility measures and their relationship with other health status measures in 1041 patients with rheumatoid arthritis. Ann Rheum Dis 2010;69:1762-1767.
  • 11.
  • 12. The EQ-5D index Simulation studies at RC Syd show that Type-1 error rate (risk of false positive findings) EQ-5D is best analyzed using methods that assume a Gaussian distribution, at least if n is large, between 20-50. Non-parametric alternatives perform poorly with any n value. Type-2 error rate (risk of false negative findings) No single method can be recommended. All investigated methods perform poorly for any distributional shape.
  • 14. Baseline versus change Simulated data (n = 1000) pre - post correlation (pre, post) = 0 delta = post - pre correlation (pre, post - pre) = -0.7
  • 15. Baseline versus change 50% of the “change” can be explained by baseline. When comparing “change” in different groups, always adjust for imbalance at baseline (e.g. using ANCOVA).
  • 16. RTM - Regression to the mean If the first measurement of a variable is extreme, the second measurement will tend to be closer to the average. Note, this is a purely statistical phenomenon. Galton F. Regression towards mediocrity in hereditary stature. J Anth Inst Gr Br Ire.1886;15:246–263.
  • 17. Hypothetical example: SF-36 PF Baseline: mean = 80, SD = 17 Follow up: mean = 80, SD = 17 p ≈ 1.0
  • 18. Hypothetical example: SF-36 PF Baseline: mean = 48.7, SD = 8.6 Follow up: mean = 59.2, SD = 16.7 p < 0.001
  • 19. RTM - Regression to the mean The phenomenon explains the placebo effect in clinical trials and apparent treatment effects found in some studies on homeopathic drugs, bible reading, etc.
  • 20. RTM - Easy to quantify (for Normally distributed endpoints) Barnett AG, van der Pols JC, Dobson AJ. Regression to the mean: what it is and how to deal with it. Int J Epidemiol 2005;34:215–220
  • 21. Hypothetical example of RTM in SF-36 PF Mean = 80, SD = 17, cut off = 60 r RTM 0.0 28.4 0.1 25.5 0.2 22.7 0.3 19.9 0.4 17.0 0.5 14.2 0.6 11.3 0.7 8.5 0.8 5.7 0.9 2.8 1.0 0
  • 22. Regression-to-the-mean Evaluation of a single group’s development over time should be avoided, or at least include a comparison with the expected RTM effect.
  • 23. Practical consequences When evaluating change, use a control group. Adjust for baseline imbalance. The validity of this procedure with multi-modal data (e.g. the EQ-5D index) is unknown.
  • 24. Thank you for your attention!
  • 25. Can a multi-scale PRO be used as a primary endpoint in a randomized trial?
  • 26. Can a multi-scale PRO be used as a primary endpoint in a randomized trial?
  • 27. Can a PRO be used as a primary endpoint in a randomized trial? PRO as primary endpoint “A PRO measurement can be the clinical trial’s primary endpoint measure, a co-primary endpoint measure ... or a secondary endpoint measure whose analysis is considered according to a hierarchical sequence.“ FDA. Patient-Reported Outcome Measures: Use in Medical Product Development to Support Labeling Claims. Guidance for Industry.
  • 28. Can a multi-scale PRO be used as a primary endpoint in a randomized trial? PRO and HRQL “The term PRO is proposed as an umbrella term to cover both single dimension and multi-dimension measures of symptoms, health-related quality of life (HRQL), health status, adherence to treatment, satisfaction with treatment, etc.” “In the context of drug approval, HRQL is considered to represent a specific type/subset of PROs, distinguished by its multi-dimensionality.” EMEA. Reflection paper on the regulatory guidance for the use of health-related quality of life (HRQL) measures in the evaluation of medicinal products.
  • 29. Can a multi-scale PRO be used as a primary endpoint in a randomized trial? HRQL as primary endpoint “In general, the methodology for assessing the effect on HRQL is similar to the methodology used in any efficacy trial, except for issues related to the nature of the instruments, which are generally composed of multi-items, and multi- domains. Briefly, it is recommended that HRQL instrument be previously validated for the condition studied...” EMEA. Reflection paper on the regulatory guidance for the use of health-related quality of life (HRQL) measures in the evaluation of medicinal products.
  • 30. FDA. Patient-Reported Outcome Measures: Use in Medical Product Development to Support Labeling Claims. Guidance for Industry.