Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and...

94
Adaptive designs - an overview and some examples Thomas Jaki Philip Pallmann Lancaster University

Transcript of Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and...

Page 1: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

Adaptive designs - an overview and someexamples

Thomas Jaki Philip PallmannLancaster University

Page 2: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Attrition rates for new developments (Arrowsmith 2011a, 2011b)

phase II: >80%

phase III & submission: ∼50%

Reasons for failure (Arrowsmith & Miller 2013)

Phase II (2011–2012)

Efficacy Safety Other

Phase III & submission (2011–2012)

Efficacy Safety Other

c© MPS Research Unit Adaptive trials 2

Page 3: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Attrition rates for new developments (Arrowsmith 2011a, 2011b)

phase II: >80%

phase III & submission: ∼50%

Reasons for failure (Arrowsmith & Miller 2013)

Phase II (2011–2012)

Efficacy Safety Other

Phase III & submission (2011–2012)

Efficacy Safety Other

c© MPS Research Unit Adaptive trials 3

Page 4: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Attrition rates for new developments (Arrowsmith 2011a, 2011b)

phase II: >80%

phase III & submission: ∼50%

Reasons for failure (Arrowsmith & Miller 2013)

Phase II (2011–2012)

Efficacy Safety Other

Phase III & submission (2011–2012)

Efficacy Safety Other

c© MPS Research Unit Adaptive trials 4

Page 5: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Attrition rates for new developments (Arrowsmith 2011a, 2011b)

phase II: >80%

phase III & submission: ∼50%

Reasons for failure (Arrowsmith & Miller 2013)

Phase II (2011–2012)

Efficacy Safety Other

Phase III & submission (2011–2012)

Efficacy Safety Other

c© MPS Research Unit Adaptive trials 5

Page 6: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Attrition rates for new developments (Arrowsmith 2011a, 2011b)

phase II: >80%

phase III & submission: ∼50%

Reasons for failure (Arrowsmith & Miller 2013)

Phase II (2011–2012)

Efficacy Safety Other

Phase III & submission (2011–2012)

Efficacy Safety Other

c© MPS Research Unit Adaptive trials 6

Page 7: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Likely causes for failure:

taking forward futile treatments

studying the wrong patient population

poor precision (optimal dose, maximum tolerated dose, safety)

c© MPS Research Unit Adaptive trials 7

Page 8: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Likely causes for failure:

taking forward futile treatments

studying the wrong patient population

poor precision (optimal dose, maximum tolerated dose, safety)

c© MPS Research Unit Adaptive trials 8

Page 9: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Likely causes for failure:

taking forward futile treatments

studying the wrong patient population

poor precision (optimal dose, maximum tolerated dose, safety)

c© MPS Research Unit Adaptive trials 9

Page 10: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Likely causes for failure:

taking forward futile treatments

studying the wrong patient population

poor precision (optimal dose, maximum tolerated dose, safety)

c© MPS Research Unit Adaptive trials 10

Page 11: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Can we do better?

avoid going straight into large and expensive phase III

take more care during phases I and II

consider adaptive and Bayesian designs

c© MPS Research Unit Adaptive trials 11

Page 12: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Can we do better?

avoid going straight into large and expensive phase III

take more care during phases I and II

consider adaptive and Bayesian designs

c© MPS Research Unit Adaptive trials 12

Page 13: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Can we do better?

avoid going straight into large and expensive phase III

take more care during phases I and II

consider adaptive and Bayesian designs

c© MPS Research Unit Adaptive trials 13

Page 14: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Can we do better?

avoid going straight into large and expensive phase III

take more care during phases I and II

consider adaptive and Bayesian designs

c© MPS Research Unit Adaptive trials 14

Page 15: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

2. Adaptive Designs

c© MPS Research Unit Adaptive trials 15

Page 16: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Idea

Modify an ongoing trial

by design or ad hoc

based on reviewing accrued data at interim

to enhance flexibility

without undermining the study’s integrity and validity.(Chow et al. 2005)

c© MPS Research Unit Adaptive trials 16

Page 17: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Idea

Modify an ongoing trial

by design or ad hoc

based on reviewing accrued data at interim

to enhance flexibility

without undermining the study’s integrity and validity.(Chow et al. 2005)

c© MPS Research Unit Adaptive trials 17

Page 18: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Idea

Modify an ongoing trial

by design or ad hoc

based on reviewing accrued data at interim

to enhance flexibility

without undermining the study’s integrity and validity.(Chow et al. 2005)

c© MPS Research Unit Adaptive trials 18

Page 19: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Idea

Modify an ongoing trial

by design or ad hoc

based on reviewing accrued data at interim

to enhance flexibility

without undermining the study’s integrity and validity.(Chow et al. 2005)

c© MPS Research Unit Adaptive trials 19

Page 20: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Idea

Modify an ongoing trial

by design or ad hoc

based on reviewing accrued data at interim

to enhance flexibility

without undermining the study’s integrity and validity.(Chow et al. 2005)

c© MPS Research Unit Adaptive trials 20

Page 21: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Pros and cons

+ highly flexible

+ very efficient

+ reflects medical practice

+ shorter trial and/or moreaccurate estimates

+ ethical

– highly flexible

– inefficient

– time-consuming to design

– simple estimates may be biased

– interim analyses may requireunblinding

c© MPS Research Unit Adaptive trials 21

Page 22: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Fixed sample design

Plan studyFix n

Start Final analysis

total sample size known in advance

no adjustment possible

c© MPS Research Unit Adaptive trials 22

Page 23: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Fixed sample design

Plan studyFix n

Start Final analysis

total sample size known in advance

no adjustment possible

c© MPS Research Unit Adaptive trials 23

Page 24: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Fixed sample design

Plan studyFix n

Start Final analysis

total sample size known in advance

no adjustment possible

c© MPS Research Unit Adaptive trials 24

Page 25: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

(Group-)sequential design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

larger maximum sample size

lower expected sample size

c© MPS Research Unit Adaptive trials 25

Page 26: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

(Group-)sequential design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

larger maximum sample size

lower expected sample size

c© MPS Research Unit Adaptive trials 26

Page 27: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

(Group-)sequential design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

larger maximum sample size

lower expected sample size

c© MPS Research Unit Adaptive trials 27

Page 28: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

(Group-)sequential design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

larger maximum sample size

lower expected sample size

c© MPS Research Unit Adaptive trials 28

Page 29: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

(Group-)sequential design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

larger maximum sample size

lower expected sample size

c© MPS Research Unit Adaptive trials 29

Page 30: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

(Group-)sequential design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

larger maximum sample size

lower expected sample size

c© MPS Research Unit Adaptive trials 30

Page 31: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 31

Page 32: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 32

Page 33: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 33

Page 34: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 34

Page 35: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 35

Page 36: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 36

Page 37: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 37

Page 38: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Adaptive design

Plan studyFix design

Start Interim analyses Final analysis

At each interim:

decide whether or not to stop

and many other options . . .

larger maximum sample size

lower expected sample size

possibly more relevant answer

c© MPS Research Unit Adaptive trials 38

Page 39: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 39

Page 40: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 40

Page 41: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 41

Page 42: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 42

Page 43: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 43

Page 44: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 44

Page 45: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 45

Page 46: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 46

Page 47: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 47

Page 48: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 48

Page 49: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 49

Page 50: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

How and what can we adapt?

Prospectively (“by design")

adaptive randomization

early stopping (safety, futility, efficacy)

drop-the-loser(s), pick-the-winner

sample size re-estimation (to achieve desired power)

Concurrently (“ad hoc")

modify inclusion/exclusion criteria

change primary endpoint

modify doses

extend treatment duration

change trial objective (e.g., non-inferiority→ superiority)

c© MPS Research Unit Adaptive trials 50

Page 51: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

A single-stage design

ABANDON

PROCEED

n

Z

c© MPS Research Unit Adaptive trials 51

Page 52: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Simon’s two-stage design

ABANDON

PROCEED

CONTINUE

n1 n

Z

(Simon 1989)

c© MPS Research Unit Adaptive trials 52

Page 53: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

A multi-stage design

ABANDON

PROCEED

CONTINUE

n1 n2 n3 n

Z

(Whitehead 1997)

c© MPS Research Unit Adaptive trials 53

Page 54: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

A multi-stage design

n1

Z

CONTINUEx

(Whitehead 1997)

c© MPS Research Unit Adaptive trials 54

Page 55: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

A multi-stage design

n1 n2

Z

CONTINUEx x

(Whitehead 1997)

c© MPS Research Unit Adaptive trials 55

Page 56: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

A multi-stage design

n1 n2 n3

Z

PROCEEDx x

x

(Whitehead 1997)

c© MPS Research Unit Adaptive trials 56

Page 57: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 1: Sample size re-estimation

Problem:

sample size formulae depend on nuisance parameters e.g., σ2

Idea:

estimate the nuisance parameter(s) at interim and recalculate sample size

Methods:

for binary, Gaussian or survival outcomes

exact (with unblinding) or approximate (without unblinding) (Gould 1995)

negligible effect on type I error

c© MPS Research Unit Adaptive trials 57

Page 58: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 1: Sample size re-estimation

Problem:

sample size formulae depend on nuisance parameters e.g., σ2

Idea:

estimate the nuisance parameter(s) at interim and recalculate sample size

Methods:

for binary, Gaussian or survival outcomes

exact (with unblinding) or approximate (without unblinding) (Gould 1995)

negligible effect on type I error

c© MPS Research Unit Adaptive trials 58

Page 59: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 1: Sample size re-estimation

Problem:

sample size formulae depend on nuisance parameters e.g., σ2

Idea:

estimate the nuisance parameter(s) at interim and recalculate sample size

Methods:

for binary, Gaussian or survival outcomes

exact (with unblinding) or approximate (without unblinding) (Gould 1995)

negligible effect on type I error

c© MPS Research Unit Adaptive trials 59

Page 60: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 1: Sample size re-estimation

Problem:

sample size formulae depend on nuisance parameters e.g., σ2

Idea:

estimate the nuisance parameter(s) at interim and recalculate sample size

Methods:

for binary, Gaussian or survival outcomes

exact (with unblinding) or approximate (without unblinding) (Gould 1995)

negligible effect on type I error

c© MPS Research Unit Adaptive trials 60

Page 61: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 1: Sample size re-estimation

Problem:

sample size formulae depend on nuisance parameters e.g., σ2

Idea:

estimate the nuisance parameter(s) at interim and recalculate sample size

Methods:

for binary, Gaussian or survival outcomes

exact (with unblinding) or approximate (without unblinding) (Gould 1995)

negligible effect on type I error

c© MPS Research Unit Adaptive trials 61

Page 62: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 1: Sample size re-estimation

Problem:

sample size formulae depend on nuisance parameters e.g., σ2

Idea:

estimate the nuisance parameter(s) at interim and recalculate sample size

Methods:

for binary, Gaussian or survival outcomes

exact (with unblinding) or approximate (without unblinding) (Gould 1995)

negligible effect on type I error

c© MPS Research Unit Adaptive trials 62

Page 63: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Sample size re-estimationExample: DEVELOP-UK trial

transplantation of reconditioned vs. standard donor lungs

ex vivo lung perfusion (EVLP)

phase III, multi-centre, unblinded, non-randomised,non-inferiority observational study

primary endpoint: 12 months survival

uncertainty in design parameters (only 50 transplantsworldwide)

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MotivationAdaptive Designs

Examples

Example 1: Sample size re-estimationDEVELOP-UK trial

408 patients randomised to EVLP and standard

3:1 in favour of standard to ensure all available lungs areused

interim analyses after 1/3 and 2/3 of total sample sizefirst: early stoppingsecond: early stopping, sample size re-assessment

significance levels: 0.005 (first), 0.014 (second), 0.045 (final)

c© MPS Research Unit Adaptive trials 64

Page 65: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Dilemma:

low doses inefficient←→ high doses toxic

Goal:

find a maximum tolerated dose (MTD)where a prespecified proportion p0 of patients

experience dose-limiting toxicities (DLTs)

c© MPS Research Unit Adaptive trials 65

Page 66: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Dilemma:

low doses inefficient←→ high doses toxic

Goal:

find a maximum tolerated dose (MTD)where a prespecified proportion p0 of patients

experience dose-limiting toxicities (DLTs)

c© MPS Research Unit Adaptive trials 66

Page 67: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Designs:

3 + 3 design (Carter 1973)

. . . and variations (A + B, rolling 6, . . . )

other 1- or 2-stage up-and-down designs

accelerated titration design (Simon et al. 1999)

continual reassessment method (O’Quigley et al. 1990)

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Page 68: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Designs:

3 + 3 design (Carter 1973)

. . . and variations (A + B, rolling 6, . . . )

other 1- or 2-stage up-and-down designs

accelerated titration design (Simon et al. 1999)

continual reassessment method (O’Quigley et al. 1990)

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Page 69: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Designs:

3 + 3 design (Carter 1973)

. . . and variations (A + B, rolling 6, . . . )

accelerated titration design (Simon et al. 1999)

rule-based

continual reassessment method (O’Quigley et al. 1990) model-based

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Page 70: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Dose-finding / Phase I

Do NOT use rule based designs

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Page 71: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Continual reassessment method (CRM):

Bayesian adaptive design

model-based

synthesizes prior belief about MTD and accumulating data

uses information from all previous patients (“memory")

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Page 72: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Continual reassessment method (CRM):

Bayesian adaptive design

model-based

synthesizes prior belief about MTD and accumulating data

uses information from all previous patients (“memory")

c© MPS Research Unit Adaptive trials 72

Page 73: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Continual reassessment method (CRM):

Bayesian adaptive design

model-based

synthesizes prior belief about MTD and accumulating data

uses information from all previous patients (“memory")

c© MPS Research Unit Adaptive trials 73

Page 74: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Continual reassessment method (CRM):

Bayesian adaptive design

model-based

synthesizes prior belief about MTD and accumulating data

uses information from all previous patients (“memory")

c© MPS Research Unit Adaptive trials 74

Page 75: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Continual reassessment method (CRM):

Bayesian adaptive design

model-based

synthesizes prior belief about MTD and accumulating data

uses information from all previous patients (“memory")

c© MPS Research Unit Adaptive trials 75

Page 76: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

A CRM design:

Dose

p

p0

D1 D2 D3 D4

based on prior belief

p: proportion of DLTs

c© MPS Research Unit Adaptive trials 76

Page 77: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

A CRM design:

Dose

p

p0

D1 D2 D3 D4

based on prior belief

p: proportion of DLTs

c© MPS Research Unit Adaptive trials 77

Page 78: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

A CRM design:

Dose

p

p0

D1 D2 D3 D4

based on prior belief

p: proportion of DLTs

c© MPS Research Unit Adaptive trials 78

Page 79: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

A CRM design:

Dose

p

p0

D1 D2 D3 D4

based on prior belief

p: proportion of DLTs

c© MPS Research Unit Adaptive trials 79

Page 80: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

A CRM design:

Dose

p

p0

D1 D2 D3 D4

based on prior belief

based on prior belief & data

p: proportion of DLTs

c© MPS Research Unit Adaptive trials 80

Page 81: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

A CRM design:

Dose

p

p0

D1 D2 D3 D4

based on prior belief

based on prior belief & data

p: proportion of DLTs

c© MPS Research Unit Adaptive trials 81

Page 82: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

A CRM design:

Dose

p

p0

D1 D2 D3 D4

based on prior belief

based on prior belief & data

p: proportion of DLTs

c© MPS Research Unit Adaptive trials 82

Page 83: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

CRM vs. 3 + 3:

more likely to identify the correct dose

more patients receive doses near MTD

fewer overdoses

clearly defined MTD

MTD estimated with a measure of precision

efficient use of all data

flexible choice of toxicity levels

easily extendable

c© MPS Research Unit Adaptive trials 83

Page 84: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:

efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 84

Page 85: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:

efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 85

Page 86: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:

efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 86

Page 87: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:

efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 87

Page 88: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:

efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 88

Page 89: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 89

Page 90: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 90

Page 91: Adaptive designs - an overview and some examples · Motivation Adaptive Designs Examples How and what can we adapt? Prospectively (“by design") adaptive randomization early stopping

MotivationAdaptive Designs

Examples

Example 2: Phase I cancer trials

Seamless phase I/II designs:

phase I study “with a phase II flavour" (O’Quigley et al. 2001)

model toxicity and efficacy together

identify the most successful dose (MSD) rather than MTD

efficient (patient population of interest in phase I)

various methods using different models and stopping rules:efficacy-toxicity trade-off (Thall & Russell 1998, Thall & Cook 2004)

CRM-like (O’Quigley et al. 2001, Zohar & O’Quigley 2006)

decision procedure for continuous response (Zhou et al. 2006)

c© MPS Research Unit Adaptive trials 91

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MotivationAdaptive Designs

Examples

Example 3: Multi-arm multi-stage trials (MAMS)TAILoR trial (Pushpakom et al. 2015)

Phase II study to evaluate treatment for side effect of HIVtri-regimen treatment (TAILoR)

Superiority trial

Several possible doses

Normal distributed endpoint

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MotivationAdaptive Designs

Examples

Example 3: Multi-arm multi-stage trials (MAMS)Design (Magirr et al, 2012)

3 active arms compared to control

Equal randomization between actives and control

one interim analysis

Stop for superiortiyStop if no active arm appears promisingDrop any active arms that are not sufficiently promising

In the trial we underestimated drop-out and could adjust atinterim

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MotivationAdaptive Designs

Examples

General considerations

New methods either get results faster or are more accurate

Tend to take more time to develop upfront

How can this cost be covered?

Are the ideas sensible to implement?

Is an interim analysis feasible?Can Bayesian methods be updated online?

c© MPS Research Unit Adaptive trials 94