MULTIPLE PROBLEMS Keith J Barrington CHU Sainte Justine, Montréal TWINS AND TRIPLETS IN NEONATAL RESEARCH    Neonatal research is unique in often enrolling large numbers of.

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Transcript MULTIPLE PROBLEMS Keith J Barrington CHU Sainte Justine, Montréal TWINS AND TRIPLETS IN NEONATAL RESEARCH    Neonatal research is unique in often enrolling large numbers of.

MULTIPLE PROBLEMS
Keith J Barrington
CHU Sainte Justine, Montréal
TWINS AND TRIPLETS IN NEONATAL
RESEARCH



Neonatal research is unique in often enrolling
large numbers of genetically identical or closely
related subjects.
Particularly true when entry criteria are not very
restrictive, such as by gestational age or birth
weight
For some outcomes there is now evidence of a
genetic influence, for other outcomes there may
well be genetic effects
THERE ARE SITUATIONS IN OTHER FIELDS
THAT ARE ANALOGOUS

Enrolment in maternal treatment trials of
mothers carrying twins
But they are always in the same group
 Could analyze all data independently, just select the
1st twins outcomes, randomly select 1, analyze ‘by
pregnancy’


Enrolment of individuals with bilateral eye
disease

Such as retinopathy, very highly correlated, but for
local treatments, can be randomized separately, as a
block or into different groups
THE 2 EYE PROBLEM
Statistical techniques for addressing the
correlation within blocks of 2 have been
developed for the eyes in ophthalmologic research
 All eye pairs are ‘monozygotic’
 All eye pairs experience near identical
environmental conditions.

ETROP STUDY
Infants with bilateral eye disease (80%)
 One eye randomized to early treatment
 Other eye treated conventionally

Equivalent to randomizing twins to opposite
groups
 No correction for block


2 consents, one for enhanced screening and
another for randomization to treatment

40 refusals and 401 randomized
WHAT OUTCOMES MAY BE GENETICALLY
INFLUENCED?

Lung disease

Hyaline Membrane Disease


Bronchopulmonary Dysplasia


IVH, less evidence

Bhutani et al
not significant.
Retinopathy


Bhutani et al. Lavoie et al.
Brain Injury


Nagourney et al 1996
Bizzarro et al
Patent Ductus Arteriosus

Lavoie et al
WHAT OUTCOMES MAY BE CORRELATED?

Other outcomes may be correlated in twins
because of shared intra-uterine environment
Chorioamnionitis
 Pre-Eclampsia
 Diabetes


Could all affect both twins (or all 3 triplets)
HOW DOES THIS AFFECT RESEARCH?

If there is a correlation in an outcome between
twins, and the twins are in the same group, how
does this affect trial design and analysis?
GATES AND BROCKLEHURST BJOG
2004
‘Inclusion of non-independent data means that
the ‘‘effective sample size’’ of the trial is reduced:
there are fewer independent outcomes in the trial
than the number of babies that took part in it.
 Analysing all babies as if they are independent
will therefore overestimate the sample size and
give confidence intervals that are too narrow’

FOR EXAMPLE:
If you had a trial with 100 twins, who had
perfectly concordant results:
 You have in reality only 50 ‘subjects’ in the trial



Therefore much less power than you thought
But you have an ‘n’ of 100 for the analyses

Therefore artificially narrowing the confidence
intervals
HOW IMPORTANT IS THIS IN REALITY?
In reality:
 The magnitude of this effect will depend on:
 The proportion of twins, the degree of
concordance, the method of analysis, and the
impact of the intervention being studied



Even if the intervention has no overall impact, if it
changes the concordance between twins, may have a
major effect on results
And depends on how many twins are in the same
group, or opposite groups
DOES INDEPENDENT RANDOMIZATION
REALLY DECREASE ENROLMENT?
I have heard individual parents tell me that they
only want their babies in the trial if they can get
the same treatment.
 I have also heard parents say they want their
babies in opposite arms, to be sure that at least
one gets the better treatment

CONSORT DIAGRAMS IN NEONATAL
RESEARCH
Individually randomized versus block
randomized multiples
 Is there a difference in consent rate?

CONSENT RATE BY METHOD OF MULTIPLE
RANDOMIZATION



Problem : often not clear from the publication
how twins were enrolled.
Limitation: many other reasons for differential
consent rates
Methods: calculated number of refusals of
consent as a proportion of those approached for
consent
LARGE RCTS

EUNO: individual randomization.


NOCLD: block randomization


748 refusals of 2064 approached
CAP: individual randomization


587 enrolled of 1555 eligible (?number of refusals)
SUPPORT: block randomization


610 refusals of 2227 approached
1628 refusals of 3634 approached
COIN: individual randomization

233 refusals of 906 approached
RANDOMIZATION MODELS
If infants are randomized to the same group, i.e.
as a cluster, then the analysis should take
account of that
 If there is little correlation between twins (eg
severe IVH) then a strict cluster approach, such
as the multiple outputation technique will reduce
power, and risk type 2 error
 If there is strong correlation between twins (eg
BPD) then not correcting for clusters will, in
general, make confidence intervals more narrow,
and risk type 1 error

ACTUAL EXAMPLE
NOCLD trial
 Supported by NIH, plan to use a multiple
outputation technique to analyze because :

Block randomization (first of multiples to be enrolled
was randomized, other(s) entered in the same arm)
 Strong evidence of coherence in the primary outcome,
BPD.

PUBLISHED DATA
Survival without BPD
 129/294 with iNO
 105/288 infants with placebo



Attempted Cochrane meta-analysis


p = 0.03 RR= 1.26; 95% CI, 1.02 to 1.55
If all the data are analyzed as if they were
independent
p=0.08 RR = 1.12
RANDOMIZATION MODELS
If twins are randomized independently, then
those who are in different groups do not require
correction
 Adaptive models which control for the degree of
correlation among twins in the same group
should be used


Such as GEE
ANOTHER EXAMPLE

If twins are individually randomized, then using
stringent cluster techniques for all the pairs will
decrease power
Schreiber et al
 iNO 51/105 infants death or BPD
 Placebo 65/102


(relative risk, 0.76; 95 percent confidence interval,
0.60 to 0.97; P=0.03)
THE INO TRIALS (MAPPINO)
Distribution of multiples
by treatment group
Trial
n
% multiples
iNO
Placebo
Van Meurs 2005
22
4.9
10 (45.5%)
12 (54.5%)
Srisuparp 2002
2
5.9
0 (0.0%)
2 ( 100%)
Kinsella 2006
130
16.4
61 (46.9%)
69 (53.1%)
Hascoet 2005
14
9.7
10 (71.4%)
4 (28.6%)
Schreiber 2003
26
12.6
11 (42.3%)
15 (57.7%)
Kinsella 1999
2
2.4
1 (50.0%)
1 (50.0%)
Dani 2006
2
5.0
2 ( 100%)
0 (0.0%)
EUNO 2008
152
19.0
71 (46.7%)
81 (53.3%)
Ballard 2006
84
14.4
47 (56.0%)
37 (44.0%)
OVERALL
434
13.1
213 (49%)
221 (51%)
PRIMARY ENDPOINT 1
Death or CLD (Best available definition)
Trial
RR (95% CI)
iNO
Placebo
Kinsella 1999
40 / 48 (83%)
27 / 32 (84%)
0.99 (0.81, 1.21)
Srisuparp 2002
6 / 16 (38%)
4 / 18 (22%)
1.59 (0.55, 4.62)
Schreiber 2003
43 / 105 (41%)
56 / 102 (55%)
0.77 (0.57, 1.04)
Hascoet 2005
42 / 61 (69%)
51 / 84 (61%)
1.11 (0.85, 1.43)
INNOVO 2005
54 / 64 (84%)
56 / 62 (90%)
0.93 (0.82, 1.07)
Van Meurs 2005
170 / 224 (76%)
174 / 225 (77%)
0.98 (0.88, 1.09)
Kinsella 2006
292 / 398 (73%)
294 / 395 (74%)
0.99 (0.91, 1.08)
4 / 20 (20%)
8 / 20 (40%)
0.53 (0.19, 1.46)
Ballard 2006
165 / 294 (56%)
184 / 288 (64%)
0.85 (0.74, 0.98)
EUNO 2008
134 / 399 (34%)
137 / 401 (34%)
1.01 (0.83, 1.23)
OVERALL*
954 / 1629 (59%)
992 / 1627 (61%)
0.96 (0.91, 1.01) p=0.095
Dani 2006
0.2
Favours iNO
0.5
1
2
5
Favours placebo
† Subhedar removed from the analysis as zero cell counts caused model instability.
* χ2 test for heterogeneity p > 0.05
Estimates derived from N=1000 iterations of log-binomial model using multiple outputation method.
IMPLICATIONS?
Do not use multiple outputation for
independently enrolled infants
 The impact of analyzing multiples in the same
group as if they were independent are dependent
on how highly correlated the outcomes are, and
what proportion of twins.

GATES AND BROCKLEHURST
Re-analysis of the antenatal TRH trial (20%
multiples)
 Monte Carlo simulation of trials with 33%
multiples

Method
Assume
independence
between babies
Analyse by
pregnancy
Random selection
Expected average
result
Mean of 1000
repetitions
Cluster trial
methods
TRH group
Antenatal TRH trial
Placebo group
OR (95% CI)
34/136 (25.0)
43/139 (30.9)
0.74 [0.42, 1.31]
29/112 (25.9)
34/113 (30.1)
0.81 [0.43, 1.51]
27/112 (24.1)
32.33/113 (28.6)
0.80 [0.55, 1.52]
0.83 {0.04}
34/136 (25.0)
43/139 (30.9)
0.74 [0.41, 1.34]
Method
Trial B
Intervention group
Placebo group
OR (95% CI)
Assume
independence
between babies
138/680 (20.3)
136/680 (20.0)
1.02 [0.78, 1.33]
Analyse by
pregnancy
107/500 (21.4)
128/500 (25.6)
0.79 [0.59, 1.06]
83/500 (16.6)
100/500 (20.0)
0.80 [0.58, 1.10]
Random selection
Expected average
result
Mean of 1000
repetitions
Extremes
Cluster trial
methods
0.80 {0.05}
107/500 (21.4)
75/500 (15.0)
1.54 [1.11, 2.14]
59/500 (11.8)
128/500 (25.6)
0.39 [0.28, 0.55]
138/680 (20.3)
136/680 (20.0)
1.02 [0.78, 1.33]
ANALYSIS OF BINARY
OUTCOMES FROM
RANDOMISED TRIALS
INCLUDING MULTIPLE
BIRTHS: WHEN SHOULD
CLUSTERING BE TAKEN
INTO ACCOUNT?
YELLAND ET AL 2011
A= INTRAPAIR CORRELATION OF 0.1
B=INTRAPAIR CORRELATION OF 0.5
C=INTRAPAIR CORRELATION OF 0.9
Paediatric and Perinatal Epidemiology
Volume 25, Issue 3, pages 283-297, 6 APR 2011 DOI: 10.1111/j.1365-3016.2011.01196.x
http://onlinelibrary.wiley.com/doi/10.1111/j.1365-3016.2011.01196.x/full#f1
ANALYSIS OF
BINARY
OUTCOMES FROM
RANDOMISED
TRIALS
INCLUDING
MULTIPLE
BIRTHS: WHEN
SHOULD
CLUSTERING BE
TAKEN INTO
ACCOUNT?
Paediatric and Perinatal Epidemiology
Volume 25, Issue 3, pages 283-297, 6 APR 2011 DOI: 10.1111/j.1365-3016.2011.01196.x
http://onlinelibrary.wiley.com/doi/10.1111/j.1365-3016.2011.01196.x/full#f2
EXAMPLE OF INDEPENDENTLY RANDOMIZED
NEWBORNS SHAFFER ET AL 2009 BMC RESEARCH
METHODOLOGY
Analysis of bronchopulmonary dysplasia for the IVIG trial
Birth weight
stratum
Odds ratio
Standard
error
95%
Confidence
interval
N/A
0.912
0.122
(0.702,1.185)
GLMM
0.438
0.898
0.127
(0.649,1.146)
GEE
0.361
0.901
0.122
(0.691,1.175)
N/A
0.944
0.155
(0.683,1.303)
GLMM
0.537
0.923
0.138
(0.651,1.194)
GEE
0.557
0.882
0.155
(0.626,1.244)
Analysis
501 to 1000 g Logistic
(n = 903
babies)
1001 - 1500 g Logistic
(n = 1509
babies)
Estimated
correlation
Randomization was done independently for twins. The multiple gestation rates were 15%
and 16% for the 501 to 1000 g babies and 1001 to 1500 g babies, respectively.
WHAT SHOULD WE DO?


Because different methods of analysis can give
different results it is important to specify the
analysis before the data are available, to prevent
‘creative accounting’
Subjects randomized as a cluster should be
analyzed as a cluster, some techniques seem
more conservative and may inflate the risk of
type 2 error
WHAT SHOULD WE DO?

When subjects are randomized independently,
subjects that are in the same group should be
analyzed by methods that can adapt to the
degree of correlation

Reasonable to plan from the start that if the
correlation is less than a certain limit, it will not be
adjusted for. EG ≤ 0.2
PUBLICATION OF PROTOCOLS
Protocols as designed at the start of a trial may
have different primary outcomes to those actually
published.
 A major reason seems to be that the primary
outcome was not significant!

Chen
et al
CMAJ
2004
WHAT SHOULD WE DO
Develop empirical data concerning the effects of
different randomization models on consent rates
 Protocols should be published and, in addition to
other details such as the primary outcome,
should detail analysis methods


Including the methods that will be used for twins
During enrolment it should be clearly identified
in the data set if siblings are in the trial
 Original data should be available, to enable SR
and meta-analysis which replicates the original
analysis

WHICH RANDOMIZATION METHOD IS BEST?

In terms of the mathematical consequences
randomizing the first eligible infant, and entering
the second in the alternate group
Genetic and other risk factors balanced
 Maintains or even increases power
 Questionable acceptability



What about triplets? Multiple group trials?
For some families randomizing 1st eligible infant
and entering siblings in the same group may be
only acceptable method


Don’t know how frequent this is, may ensure good
representation of multiples
Effectively discounts the contribution of the multiples
to the analysis
WHICH RANDOMIZATION METHOD IS BEST?
Independent randomization has less effect on
power
 Examples I showed have good twin
representation
 Doesn’t completely eliminate the need to adjust
the analysis for those multiples which are in the
same group
 Preserves the value of the contribution of the
multiples

HOW DOES THIS AFFECT THE FAMILIES?
Are there consequences of the method of
enrollment on the families in the long term?
 If one dies or does poorly?
 If there is an important treatment effect?


Little information of the long term effects of trial
participation, particularly for multiples