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METHODS OF RANDOMISATION IN CLINICAL TRIALS
Randomization is the process by which allocation of subjects to treatment groups is
done by chance, without the ability to predict who is in what group. A randomized
clinical trial is a clinical trial in which participants are randomly assigned to
separate groups that compare different treatments.
Randomized trials are gold standard of study designs because the potential for bias
(selection into treatment groups) is avoided.
Purpose of Randomization-
 Primary purpose- Prevent bias in allocating subjects to treatment groups
(avoid predictability)
 Secondary purpose- Achieve comparability between the groups (there is no
guarantee)
Two Independent Groups
Research is often conducted using experimentation involving the manipulation of a
least one factor. Commonly used experimental designs include the experimental
designs for the two group problem for superiority (i.e. is one treatment superior to
another on a primary outcome?), for non‐inferiority (is a new treatment no worse
than an existing treatment on a particular outcome?), or for equivalence (are two
interventions essentially identical to one another on a primary outcome?). Strong
conclusions may be drawn from such endeavours providing the design is
sufficiently powered and providing there are no threats to the validity of
conclusions. The use of randomization in experimental work contributes to
establishing the validity of inferences.
The following notes relate to the experimental comparison of two treatments with
participants randomized to one of two treatments; such designs can viewed as
being RCT designs [RCT === Randomized Control Trial if one treatment is a
“control” or more generally RCT === Randomized Clinical Trial].
The following methods are used for randomization-
1 Simple Random Samples and Random Allocation-
Simple random selection and random allocation are not the same. Random
selection is the process of drawing a sample from a population whereby the sample
participants are not known in advanced. A Simple Random Sample of size k is a
sample determined by chance whereby each individual in the population has the
same equal probability of being selected and each possible subset of size k in the
population has the same chance of being selected. It is hoped that a simple random
sample will give a sample that is arguably representative of the population, and in
doing so help with the external validity or generalizability of the results.
a) Random Allocation
Random allocation is a procedure in which identified sample participants are
randomly assigned to a treatment and each participant has the same probability of
being assigned to any particular treatment. If the design is based on N participants
and n1 are to be assigned to Treatment 1 then all possible samples of size n1 have
the same probability of being assigned to Treatment 1.
b) Simple Randomization
The most commonly encountered situation in practice is a two treatment
comparison with a predetermined overall sample size N with a predetermined
sample size of n1 for Treatment 1 and size n2 for Treatment 2 (n1 +n2 = N). A
total of N opaque envelopes, containing an identifier for Treatment 1 and
containing an identifier for Treatment 2, may be shuffled. The order of the shuffled
envelopes determines the allocation of participants to treatments. This process is
relatively simple to organise, preserves the predetermined design parameters, and
can be readily extended to situations where multiple treatments are to be compared.
Simple Sequential Randomization
A commonly encountered situation is a two group comparison where sample sizes
n1 and n2 are required to be equal or approximately equal. In a two group trial, the
process is analogous to the toss of a coin such that each participant has an equal
probability to be allocated to either of the treatments. When the sample size is
relatively large, simple randomization is expected to produce approximately
equally sized treatment groups however this is not guaranteed and the general
recommendation is to only consider this approach where overall sample size is
200 or above.
Possible Problems with Simple Randomization
Simple randomization reduces bias by equalising some factors that have not been
accounted for in the experimental design e.g. a group of people with a health
condition, different from the disease under study, which is suspected to affect
treatment efficacy. Another example is that a factor such as biological sex could
be an important prognostic factor. Chance imbalances or accidental bias, with
respect to this factor may occur if biological sex is not taken into account during
the treatment allocation process.
It may be argued thatrandomization is too important to be left to chance! In these
cases some practitioners may argue for a blocked randomization scheme, or a
stratified randomization scheme, or one which deliberately minimises differences
between groups on key pre‐determined prognostic factors.
2) Block Randomization
Block randomization is commonly used in the two treatment situation where
sample sizes for the two treatments are to be equal or approximately equal. The
process involves recruiting participants in short blocks and ensuring that half of the
participants within each block are allocated to treatment “A” and the other half to
“B”. Within each block, however the order of patients is random.
Conceptually there are an infinite number of possible block sizes. Suppose we
consider blocks of size four. There are six different ways that four patients can be
split evenly between two treatments:
1. AABB, 2. ABAB 3. ABBA, 4. BAAB, 5. BABA, 6. BBAA
The next step is to select randomly amongst these six different blocks for each
group of four participants that are recruited. The random selection can be done
using a list of random numbers generated using statistical software e.g. SPSS,
Excel, Minitab, Stata, SAS. An example of such a random number sequence is as
shown;
9795270571964604603256331708242973...
Since there are only six different blocks, all numbers outside the range of 1 to 6
can be dropped to have;
52516464632563312423...
Blocks are selected according to the above sequence. For example the first
eighteen subjects would be allocated to treatments as follows
5 2 5 1 6
BABA ABAB BABA AABB BBAA
In the example, one group has two more participants than the other; but this small
difference may not necessarily be of great consequence. In block randomization
there is almost perfect matching of the size of groups without departing too far
from the principle of purely random selection. Note however this procedure is not
the same as simple randomization e.g. the first four participants cannot be all
allocated to Treatment A and hence all possible combinations of assignment are
not possible. Note that simple sequential randomization is the same as block
randomization with blocks of size 1.
3) Stratification
A stratification factor is a categorical (or discretized continuous) covariate which
divides the patient population according to its levels e.g.
‐sex, 2 levels: Male, Female
‐age, 3 levels: <40, 40‐59, ≥ 60 years
‐recruitment centres
‐Menopausal status
‐any other known prognostic factor
Using this approach, the treatments are allocated within each stratum using any of
the previously discussed methods. The advantages of using this approach are that it
gives allowance for prognostic factors and it is very easy to implement.
4) Minimization
Using this method, the first patient is truly randomly allocated; for each
subsequent patient, the treatment allocation is identified, which minimizes the
imbalance between groups at that time.
Problems and Additional Benefits of Randomization
With some methods of allocation an imbalance due to the foreknowledge of the
next treatment allocation between the treatment groups with respect to an
important prognostic factor may also occur i.e. when an investigator is able to
predict the next subject’s group assignment by examining which group has been
assigned the fewest patients up to that point. This is known as selection bias and
occurs very often when randomization is poorly implemented e.g. Pre‐printed list
of random numbers can be consulted by an experimenter before next patient comes
in, or envelopes can be opened before next patient comes in, or an experimenter
can predict the next allocation with “static methods” e.g. the last treatment in each
block in block randomisation.
A practical issue in experimentation is allocation concealment, which refers to the
precautions taken to ensure that the group assignment of patients is not revealed
prior to definitively allocating them to their respective groups. In other words,
allocation concealment shields those who admit participants to a trial from
knowing the upcoming assignments and can be achieved by coding the treatments
and not using their real names. This is called masking and is different from
blinding:
‐Masking or allocation concealment seeks to prevent selection bias, protects
assignment sequence before and until allocation, and can always be successfully
implemented.
‐In contrast, blinding seeks to prevent sampling bias, protects sequence after
allocation, and cannot always be successfully implemented. For example, it is
impossible to implement blinding in a situation where the treatment is a surgical
procedure.
In general simple random allocation, as well as having very desirable theoretical
properties from a statistical perspective, often permits the implementation of very
desirable methodology including masking and can greatly help with preserving the
overall conclusions from experimental research.
Sample size
The number of subjects in a clinical trial should always be large enough to provide
a reliable answer to the questions addressed. This number is usually determined by
the primary objective of the trial. If the sample size is determined on some other
basis, then this should be made clear and justified. For example, a trial sized on the
basis of safety questions or requirements or important secondaryobjectives may
need larger numbers of subjects than a trial sized on the basis of the primary
efficacy question.
Using the usual method for determining the appropriate sample size, the following
items should be specified:
A primary variable; the test statistic; the null hypothesis; the alternative (working)
hypothesis at the chosen dose(s)(embodying consideration of the treatment
difference to be detected or rejected at the doseand in the subject population
selected); the probability of erroneously rejecting the null hypothesis (the Type I
error) and the probability of erroneously failing to reject the null hypothesis (the
Type II error); as well as the approachto dealing with treatment withdrawals and
protocolviolations. In some instances, the event rate is of primary interest for
evaluating power, and assumptions should be made to extrapolate from the
required number of events to the eventual sample size for the trial.
The sample size of an equivalence trial or a noninferiority trial should normally be
based on the objective of obtaining a confidence interval for the treatment
difference that shows that the treatments differ at most by a clinically acceptable
difference.
The choice of a clinically acceptable difference needs justification with respect to
its meaning for future patients, and may be smaller than the "clinically relevant"
difference referred to above in the context of superiority trials designed to establish
that a difference exists.
The exact sample size in a group sequential trial cannot be fixed in advance
because it depends upon the play of chance in combination with the chosen
stopping guideline and the true treatment difference. The design of the stopping
guideline should take into account the consequent distribution of the sample size,
usually embodied in the expected and maximum sample sizes.
When event rates are lower than anticipated or variability is larger than expected,
methods for sample size reestimation are available without unblinding data or
making treatment comparisons.
Documentation
The collection of data and transfer of data from the investigator to the sponsorcan
take place through a variety of media, including paper caserecord forms, remote
site monitoring systems, medical computer systems, and electronic transfer.
Whatever data capture instrument is used, the form and content of the information
collected should be in full accordancewith the protocoland should be established
in advance of the conductof the clinical trial. It should focus on the data necessary
to implement the planned analysis, including the context information (such as
timing assessments relative to dosing) necessary to confirm protocolcompliance or
identify important protocoldeviations. Missing values should be distinguishable
from the value zero or characteristic absent.
The process ofdata capture, through to database finalization, should be carried out
in accordancewith good clinical practice (GCP). Specifically, timely and reliable
processes forrecording data and rectifying errors and omissions are necessary to
ensure delivery of a quality database and the achievement of the trial objectives
through the implementation of the planned analysis. Documentation for all subjects
for whom trial procedures (e.g., run-in period) were initiated may be useful. The
content of this subject documentation depends on detailed features of the particular
trial, but at least demographic and baseline data on disease status should be
collected whenever possible. The computer software used for data management
and statistical analysis should be reliable, and documentation of appropriate
software testing procedures should be available.
Monitoring management
Careful conductof a clinical trial according to the protocolhas a major impact on
the credibility of the results. Careful monitoring can ensure that difficulties are
noticed early and their occurrence or recurrence minimized.
There are two distinct types of monitoring that generally characterize confirmatory
clinical trials sponsoredbythe pharmaceutical industry. One type of monitoring
concerns the oversight of the quality of the trial, while the other type involves
breaking the blind to make treatment comparisons (i.e., interim analysis). Both
types of trial monitoring, in addition to entailing different staff responsibilities,
involve access to different types of trial data and information, and thus different
principles apply for the control of potential statistical and operational bias.
For the purposeof overseeing the quality of the trial, the checks involved in trial
monitoring may include whether the protocolis being followed, the acceptability
of data being accrued, the success ofplanned accrual targets, the appropriateness
of the design assumptions, success in keeping patients in the trials, and so on. This
type of monitoring does not require access to information on comparative
treatment effects nor unblinding of data and, therefore, has no impact on Type I
error. The monitoring of a trial for this purposeis the responsibility of the sponsor
and can be carried out by the sponsororan independent group selected by the
sponsor. Theperiod for this type of monitoring usually starts with the selection of
the trial sites and ends with the collection and cleaning of the last subject's data.
The other type of trial monitoring (interim analysis) involves the accruing of
comparative treatment results. Interim analysis requires unblinded (i.e., key
breaking) access to treatment group assignment (actual treatment assignment or
identification of group assignment) and comparative treatment group summary
information. Therefore, the protocolshould contain statistical plans for the interim
analysis to prevent certain types of bias.
REFERENCES-
1. International conference on harmonization of technical requirements for
registration of pharmaceuticals for human use, General considerations for
clinical trials, E8-E9.
2. Randomised clinical trials, Sukon Kanchanaraksa, PhD, Johns Hopkins
University.
3. Rndomisation of clinical trials, University of the West of England.
4. Journal for clinical studies.
5. www.wikipedia.com
SUBMITTED BY-
AMEENA MEHABOOB

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Methods of randomisation in clinical trials

  • 1. METHODS OF RANDOMISATION IN CLINICAL TRIALS Randomization is the process by which allocation of subjects to treatment groups is done by chance, without the ability to predict who is in what group. A randomized clinical trial is a clinical trial in which participants are randomly assigned to separate groups that compare different treatments. Randomized trials are gold standard of study designs because the potential for bias (selection into treatment groups) is avoided. Purpose of Randomization-  Primary purpose- Prevent bias in allocating subjects to treatment groups (avoid predictability)  Secondary purpose- Achieve comparability between the groups (there is no guarantee) Two Independent Groups Research is often conducted using experimentation involving the manipulation of a least one factor. Commonly used experimental designs include the experimental designs for the two group problem for superiority (i.e. is one treatment superior to another on a primary outcome?), for non‐inferiority (is a new treatment no worse than an existing treatment on a particular outcome?), or for equivalence (are two interventions essentially identical to one another on a primary outcome?). Strong conclusions may be drawn from such endeavours providing the design is sufficiently powered and providing there are no threats to the validity of conclusions. The use of randomization in experimental work contributes to establishing the validity of inferences. The following notes relate to the experimental comparison of two treatments with participants randomized to one of two treatments; such designs can viewed as being RCT designs [RCT === Randomized Control Trial if one treatment is a “control” or more generally RCT === Randomized Clinical Trial]. The following methods are used for randomization-
  • 2. 1 Simple Random Samples and Random Allocation- Simple random selection and random allocation are not the same. Random selection is the process of drawing a sample from a population whereby the sample participants are not known in advanced. A Simple Random Sample of size k is a sample determined by chance whereby each individual in the population has the same equal probability of being selected and each possible subset of size k in the population has the same chance of being selected. It is hoped that a simple random sample will give a sample that is arguably representative of the population, and in doing so help with the external validity or generalizability of the results. a) Random Allocation Random allocation is a procedure in which identified sample participants are randomly assigned to a treatment and each participant has the same probability of being assigned to any particular treatment. If the design is based on N participants and n1 are to be assigned to Treatment 1 then all possible samples of size n1 have the same probability of being assigned to Treatment 1. b) Simple Randomization The most commonly encountered situation in practice is a two treatment comparison with a predetermined overall sample size N with a predetermined sample size of n1 for Treatment 1 and size n2 for Treatment 2 (n1 +n2 = N). A total of N opaque envelopes, containing an identifier for Treatment 1 and containing an identifier for Treatment 2, may be shuffled. The order of the shuffled envelopes determines the allocation of participants to treatments. This process is relatively simple to organise, preserves the predetermined design parameters, and can be readily extended to situations where multiple treatments are to be compared. Simple Sequential Randomization A commonly encountered situation is a two group comparison where sample sizes n1 and n2 are required to be equal or approximately equal. In a two group trial, the process is analogous to the toss of a coin such that each participant has an equal probability to be allocated to either of the treatments. When the sample size is relatively large, simple randomization is expected to produce approximately equally sized treatment groups however this is not guaranteed and the general
  • 3. recommendation is to only consider this approach where overall sample size is 200 or above. Possible Problems with Simple Randomization Simple randomization reduces bias by equalising some factors that have not been accounted for in the experimental design e.g. a group of people with a health condition, different from the disease under study, which is suspected to affect treatment efficacy. Another example is that a factor such as biological sex could be an important prognostic factor. Chance imbalances or accidental bias, with respect to this factor may occur if biological sex is not taken into account during the treatment allocation process. It may be argued thatrandomization is too important to be left to chance! In these cases some practitioners may argue for a blocked randomization scheme, or a stratified randomization scheme, or one which deliberately minimises differences between groups on key pre‐determined prognostic factors. 2) Block Randomization Block randomization is commonly used in the two treatment situation where sample sizes for the two treatments are to be equal or approximately equal. The process involves recruiting participants in short blocks and ensuring that half of the participants within each block are allocated to treatment “A” and the other half to “B”. Within each block, however the order of patients is random. Conceptually there are an infinite number of possible block sizes. Suppose we consider blocks of size four. There are six different ways that four patients can be split evenly between two treatments: 1. AABB, 2. ABAB 3. ABBA, 4. BAAB, 5. BABA, 6. BBAA The next step is to select randomly amongst these six different blocks for each group of four participants that are recruited. The random selection can be done using a list of random numbers generated using statistical software e.g. SPSS, Excel, Minitab, Stata, SAS. An example of such a random number sequence is as shown; 9795270571964604603256331708242973... Since there are only six different blocks, all numbers outside the range of 1 to 6 can be dropped to have;
  • 4. 52516464632563312423... Blocks are selected according to the above sequence. For example the first eighteen subjects would be allocated to treatments as follows 5 2 5 1 6 BABA ABAB BABA AABB BBAA In the example, one group has two more participants than the other; but this small difference may not necessarily be of great consequence. In block randomization there is almost perfect matching of the size of groups without departing too far from the principle of purely random selection. Note however this procedure is not the same as simple randomization e.g. the first four participants cannot be all allocated to Treatment A and hence all possible combinations of assignment are not possible. Note that simple sequential randomization is the same as block randomization with blocks of size 1. 3) Stratification A stratification factor is a categorical (or discretized continuous) covariate which divides the patient population according to its levels e.g. ‐sex, 2 levels: Male, Female ‐age, 3 levels: <40, 40‐59, ≥ 60 years ‐recruitment centres ‐Menopausal status ‐any other known prognostic factor Using this approach, the treatments are allocated within each stratum using any of the previously discussed methods. The advantages of using this approach are that it gives allowance for prognostic factors and it is very easy to implement. 4) Minimization Using this method, the first patient is truly randomly allocated; for each subsequent patient, the treatment allocation is identified, which minimizes the imbalance between groups at that time.
  • 5. Problems and Additional Benefits of Randomization With some methods of allocation an imbalance due to the foreknowledge of the next treatment allocation between the treatment groups with respect to an important prognostic factor may also occur i.e. when an investigator is able to predict the next subject’s group assignment by examining which group has been assigned the fewest patients up to that point. This is known as selection bias and occurs very often when randomization is poorly implemented e.g. Pre‐printed list of random numbers can be consulted by an experimenter before next patient comes in, or envelopes can be opened before next patient comes in, or an experimenter can predict the next allocation with “static methods” e.g. the last treatment in each block in block randomisation. A practical issue in experimentation is allocation concealment, which refers to the precautions taken to ensure that the group assignment of patients is not revealed prior to definitively allocating them to their respective groups. In other words, allocation concealment shields those who admit participants to a trial from knowing the upcoming assignments and can be achieved by coding the treatments and not using their real names. This is called masking and is different from blinding: ‐Masking or allocation concealment seeks to prevent selection bias, protects assignment sequence before and until allocation, and can always be successfully implemented. ‐In contrast, blinding seeks to prevent sampling bias, protects sequence after allocation, and cannot always be successfully implemented. For example, it is impossible to implement blinding in a situation where the treatment is a surgical procedure. In general simple random allocation, as well as having very desirable theoretical properties from a statistical perspective, often permits the implementation of very desirable methodology including masking and can greatly help with preserving the overall conclusions from experimental research. Sample size The number of subjects in a clinical trial should always be large enough to provide a reliable answer to the questions addressed. This number is usually determined by the primary objective of the trial. If the sample size is determined on some other basis, then this should be made clear and justified. For example, a trial sized on the
  • 6. basis of safety questions or requirements or important secondaryobjectives may need larger numbers of subjects than a trial sized on the basis of the primary efficacy question. Using the usual method for determining the appropriate sample size, the following items should be specified: A primary variable; the test statistic; the null hypothesis; the alternative (working) hypothesis at the chosen dose(s)(embodying consideration of the treatment difference to be detected or rejected at the doseand in the subject population selected); the probability of erroneously rejecting the null hypothesis (the Type I error) and the probability of erroneously failing to reject the null hypothesis (the Type II error); as well as the approachto dealing with treatment withdrawals and protocolviolations. In some instances, the event rate is of primary interest for evaluating power, and assumptions should be made to extrapolate from the required number of events to the eventual sample size for the trial. The sample size of an equivalence trial or a noninferiority trial should normally be based on the objective of obtaining a confidence interval for the treatment difference that shows that the treatments differ at most by a clinically acceptable difference. The choice of a clinically acceptable difference needs justification with respect to its meaning for future patients, and may be smaller than the "clinically relevant" difference referred to above in the context of superiority trials designed to establish that a difference exists. The exact sample size in a group sequential trial cannot be fixed in advance because it depends upon the play of chance in combination with the chosen stopping guideline and the true treatment difference. The design of the stopping guideline should take into account the consequent distribution of the sample size, usually embodied in the expected and maximum sample sizes. When event rates are lower than anticipated or variability is larger than expected, methods for sample size reestimation are available without unblinding data or making treatment comparisons. Documentation The collection of data and transfer of data from the investigator to the sponsorcan take place through a variety of media, including paper caserecord forms, remote
  • 7. site monitoring systems, medical computer systems, and electronic transfer. Whatever data capture instrument is used, the form and content of the information collected should be in full accordancewith the protocoland should be established in advance of the conductof the clinical trial. It should focus on the data necessary to implement the planned analysis, including the context information (such as timing assessments relative to dosing) necessary to confirm protocolcompliance or identify important protocoldeviations. Missing values should be distinguishable from the value zero or characteristic absent. The process ofdata capture, through to database finalization, should be carried out in accordancewith good clinical practice (GCP). Specifically, timely and reliable processes forrecording data and rectifying errors and omissions are necessary to ensure delivery of a quality database and the achievement of the trial objectives through the implementation of the planned analysis. Documentation for all subjects for whom trial procedures (e.g., run-in period) were initiated may be useful. The content of this subject documentation depends on detailed features of the particular trial, but at least demographic and baseline data on disease status should be collected whenever possible. The computer software used for data management and statistical analysis should be reliable, and documentation of appropriate software testing procedures should be available. Monitoring management Careful conductof a clinical trial according to the protocolhas a major impact on the credibility of the results. Careful monitoring can ensure that difficulties are noticed early and their occurrence or recurrence minimized. There are two distinct types of monitoring that generally characterize confirmatory clinical trials sponsoredbythe pharmaceutical industry. One type of monitoring concerns the oversight of the quality of the trial, while the other type involves breaking the blind to make treatment comparisons (i.e., interim analysis). Both types of trial monitoring, in addition to entailing different staff responsibilities, involve access to different types of trial data and information, and thus different principles apply for the control of potential statistical and operational bias. For the purposeof overseeing the quality of the trial, the checks involved in trial monitoring may include whether the protocolis being followed, the acceptability of data being accrued, the success ofplanned accrual targets, the appropriateness
  • 8. of the design assumptions, success in keeping patients in the trials, and so on. This type of monitoring does not require access to information on comparative treatment effects nor unblinding of data and, therefore, has no impact on Type I error. The monitoring of a trial for this purposeis the responsibility of the sponsor and can be carried out by the sponsororan independent group selected by the sponsor. Theperiod for this type of monitoring usually starts with the selection of the trial sites and ends with the collection and cleaning of the last subject's data. The other type of trial monitoring (interim analysis) involves the accruing of comparative treatment results. Interim analysis requires unblinded (i.e., key breaking) access to treatment group assignment (actual treatment assignment or identification of group assignment) and comparative treatment group summary information. Therefore, the protocolshould contain statistical plans for the interim analysis to prevent certain types of bias. REFERENCES- 1. International conference on harmonization of technical requirements for registration of pharmaceuticals for human use, General considerations for clinical trials, E8-E9. 2. Randomised clinical trials, Sukon Kanchanaraksa, PhD, Johns Hopkins University. 3. Rndomisation of clinical trials, University of the West of England. 4. Journal for clinical studies. 5. www.wikipedia.com SUBMITTED BY- AMEENA MEHABOOB