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Cochrane Comparing Multiple Interventions Methods Group Oxford Training event, March 2013 1 Statistical considerations in indirect comparisons and network meta-analysis Said Business School, Oxford, UK March 18-19, 2013

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Page 1: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Cochrane Comparing Multiple Interventions Methods Group Oxford Training event, March 2013 1

Statistical considerations in indirect comparisons and network meta-analysis

Said Business School, Oxford, UK

March 18-19, 2013

Page 2: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Cochrane Comparing Multiple Interventions Methods Group Oxford Training event, March 2013

Handout S1-L

Introduction

Julian Higgins

2

Page 3: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

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Page 4: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

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Page 5: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

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Page 6: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Two interventions

Network meta-analysis Many different

intervention

Randomized Controlled trials (RCTs)

Meta-analysis of RCTs

Cohort studies, Case-control studies

A new methodological framework

Other names: Multiple-treatments meta-analysis, Mixed-treatment comparison

6

Page 7: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Placebo

Toothpaste

Varnish

Rinse

Gel

4 1

3 6

1 69

31 13

3

No treatment

9 4

4

A network of trials: topical fluoride therapy

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Page 8: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

1 2

1 1

6

9

14

22

28

22

0

10

2

0

30

Nu

mb

er o

f P

ub

licat

ion

s

wit

h in

dir

ect

com

par

iso

ns

2002 2003 2004 2005 2006 2007 2008 2009 2010 2011

Year of Publication

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Page 9: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Yes Yes

Conditions for valid inference about ‘best’ treatment

• High internal validity / low risk of bias

• Low risk of reporting bias

• Clinical diversity not relevant or low (high ‘combinability’)

• Good fit of statistical model

Net

wo

rk

Co

nve

nti

on

al

Yes

Yes Yes

Yes

Yes Yes

9

Page 10: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Yes Yes

Conditions for valid inference about ‘best’ treatment

• High internal validity / low risk of bias

• Low risk of reporting bias

• Clinical diversity not relevant or low (high ‘combinability’)

• Good fit of statistical model

Net

wo

rk

Co

nve

nti

on

al

Yes

Yes Yes

Yes

Yes Yes

10

Considerations extend across studies making different comparisons

Considerations include possibility of inconsistency (conflict) between different types of evidence

Page 11: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Course objectives

• by the end of the course, participants should be able...

– to understand the principles, steps and statistical methods involved in indirect comparisons and network meta-analyses;

– to understand the biases that can distort indirect comparisons and network meta-analysis, including conflict among different sources of evidence, and ways to address these issues;

– to be aware of current thinking in presenting findings from indirect comparisons and network meta-analyses, including issues related to risk of bias and quality (within Summary of Findings tables); and

– to support Cochrane editorial bases in their support of review authors undertaking indirect comparisons and network meta-analysis.

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Page 12: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

Outline of the course: Monday

• Pair-wise meta-analysis

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Page 13: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Outline of the course: Monday

• Pair-wise meta-analysis

• Indirect comparisons

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment ?

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Page 14: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Outline of the course: Monday

• Pair-wise meta-analysis

• Indirect comparisons

– and mixed comparisons

– ‘loops’ of evidence

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

14

Page 15: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Outline of the course: Monday

• Pair-wise meta-analysis

• Indirect comparisons

– and mixed comparisons

– ‘loops’ of evidence

• Meta-regression

– for indirect comparisons

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

15

Page 16: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

Outline of the course: Monday

• Pair-wise meta-analysis

• Indirect comparisons

– and mixed comparisons

– ‘loops’ of evidence

• Meta-regression

– for indirect comparisons

– for network meta-analysis

16

Page 17: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

Outline of the course: Monday

• Pair-wise meta-analysis

• Indirect comparisons

– and mixed comparisons

– ‘loops’ of evidence

• Meta-regression

– for indirect comparisons

– for network meta-analysis

• Small group discussion

• Computer practicals

17

Page 18: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Outline of the course: Tuesday

• Problem of multi-arm studies

– Full network meta-analysis

– Multivariate meta-analysis

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

18

Page 19: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

Outline of the course: Tuesday

• Problem of multi-arm studies

– Full network meta-analysis

– Multivariate meta-analysis

• Inconsistency (conflicting evidence)

19

Page 20: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Outline of the course: Tuesday

• Problem of multi-arm studies

– Full network meta-analysis

– Multivariate meta-analysis

• Inconsistency (conflicting evidence)

• Presentation of results

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

20

Page 21: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Outline of the course: Tuesday

• Problem of multi-arm studies

– Full network meta-analysis

– Multivariate meta-analysis

• Inconsistency (conflicting evidence)

• Presentation of results

• Presentations from small-group discussions

• Group discussion of implications for Cochrane Reviews

Placebo

Toothpaste

Varnish

Rinse

Gel

No treatment

21

Page 22: Statistical considerations in indirect comparisons and ... · Toothpaste Varnish Rinse Gel No treatment Outline of the course: Monday •Pair-wise meta-analysis •Indirect comparisons

Cochrane Comparing Multiple Interventions Methods Group Oxford Training event, March 2013 22

Statistical considerations in indirect comparisons and network meta-analysis

Said Business School, Oxford, UK

March 18-19, 2013