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CROSS OVER TRAILS
Dr. P. Parameshwari, M.D
HOD & Professor
Department of Community medicine
Government Villupuram Medical College
Ambriose Pare (1510-1590)
In 1537, castle of Villaine
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TYPES OF RCT
Based
on
the
study
design
• Parallel design
• Crossover trials design
• Cluster design
• Factorial design
• Randomized withdrawal
design
• Early escape design
Based
on
the
hypothesis
and
outcome
of
interest
• Superiority trials
• Non inferiority trial
• Equivalence trials
• Efficacy Vs
Effectiveness
Based
on
the
number
of
participants
• N of 1 trial
• Fixed trial
• Sequential trial
• Adaptive design
• Risk based allocation
design
• Clinical trial
• Prevention trial
• Cessation experiment
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PARALLEL DESIGN
║ In Parallel design, the subjects are randomized to one or more
study arms and each study arm will be allocated a different
intervention.
║ After randomization each participant will stay in their assigned
treatment arm for the duration of the study
║ Parallel design can be applied for acute and progressive
diseases
║ The randomized patients should not inadvertently contaminate
the other group by unplanned co‑interventions or cross‑overs.
║ Random assignment minimizes bias
Wagh M, Mukhi J, Sontakke S, Dhok A, Turankar A, Kalikar M. Comparative evaluation of efficacy and
tolerability of apremilast and methotrexate in patients of moderate-to-severe palmoplantar
psoriasis: A randomized, parallel, open-label clinical trial. Indian J Pharmacol. 2023 Nov-Dec;55(6):356-362.
doi: 10.4103/ijp.ijp_190_23. PMID: 38174531; PMCID: PMC10821693.
The study was a randomized, prospective, parallel-group, open-label study conducted in patients with
moderate-to-severe palmoplantar psoriasis.
They were randomized into two groups, methotrexate (n = 19) or apremilast (22) for 16 weeks.
Primary efficacy parameter was reduction in modified palmoplantar psoriasis area and severity index
(mPPPASI) score from week 0 to week 16.
CROSS OVER TRIAL
Subjects are initially randomly allocated into therapy ‘A’ or therapy ‘B’
In a crossover trial, patients start off on one arm (i.e., receive one intervention) during one period and
then switch to another arm (i.e., receive another intervention) for the next period.
Every time a patient switches arms, the patient “crosses over” to another arm
After being observed for a certain period of time the subjects are given a period of “wash - out” to
remove the existing effects of therapy.
The groups change their respective arms at a specific point during the investigation.
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PRE REQUISITES OF CROSS OVER DESIGN
Disease – chronic (asthma, osteoarthritis) stable
Drugs with relatively short half-life & short treatment periods are considered
Effects of drug should develop fully within treatment period
 Washout periods -sufficiently long for complete reversibility of drug effect
Wash out period- five half lives of drug
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• Treatment sequencing and patient assignment: The sequence in which
treatments are administered should ideally be assigned randomly. This protects
against conscious and unconscious bias by ensuring that there are no
systematic differences between patients receiving A/B versus B/A.
• Crossover rules and timing of measurements:
Time-dependent -the treatment switch takes place after a specified length of
time),
Disease-state dependent -the treatment switch is determined by the clinical
characteristics of the patient
Crossover designs may be used in clinical trials
in the following situations where
1. Objective measures and interpretable data
for both efficacy and safety are obtained.
2. Chronic (relatively stable) disease are
under study.
3. Prophylactic drugs with relatively short
half-life are being investigated.
4. Relatively short treatment periods are
considered.
5. Baseline and washout periods are feasible.
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CROSS OVER TRIAL-STRENGTHS
 Each patient serves as his own control reduces the confounding covariates
 Each patient gets both drugs but the order in which the patient gets each drug is
randomized
 Removes “patient effect ”thereby reducing variability and increasing precision of
estimation
 Requires a small sample size
 Under assumption of no carryover effect, design provides more information than
simple parallel design
CROSS OVER TRIAL -LIMITATIONS
Crossover trials can only be conducted on chronic diseases persists for a longer
period
There might be a carry-over effect of the previous intervention on to the effect
of the next intervention ,interactions between treatment and
study-period/sequence.
 Statistical tests have been suggested in order to test the carry-over risk, but a
great chance of a type-II error persists.
It is difficult to estimate the time required in order for the intervention to be
fully washed-out.
CARRY OVER EFFECTS & WASH OUT PERIOD
• A carryover effect is defined as the effect of the treatment from the previous time
period on the response at the current time period and may yiels statistical bias
• The incorporation of lengthy washout periods in the experimental design can
diminish the impact of carryover effects.
• A washout period is defined as the time between treatment periods. Instead of
immediately stopping and then starting the new treatment, there will be a period
of time where the treatment from the first period where the drug is washed out of
the patient's system.
• The length of the washout period usually is determined as some multiple of the
half-life of the pharmaceutical product within the population of interest equivalent
to 5 (or more) times the length of the half-life of the drug concentration in the
blood
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PLANNED CROSS OVER
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UNPLANNED CROSS OVER
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UNPLANNED CROSS OVER
CROSS OVER DESIGN
Sequence
The order of treatment administration
Period
The time of treatment
administration
Period 1 Period 2
Sequence AB A B
Sequence BA B A
2 period 2 treatment cross over design Period 1 Period 2 Period 3
Sequence
ABB
A B B
Sequence
BAA
B A A
Sequence
AAB
A A B
Sequence A B A
3 Period,3 Treatment Cross Over design
Period 1 Period 2 Period 3
Sequence ABC A B C
Sequence BCA B C A
Sequence CAB C A B
Sequence ACB A C B
Sequence BAC B A C
Sequence CBA C B A
CROSS OVER DESIGN BASED ON UNIFORMITY
• Uniform within sequence
Each treatment appears the same number of times within each sequence
• Uniform within period
Each treatment appears the same number of times within each period
Based on uniformity
Latin square design
Latin square
• Each patient receives each intervention once
• More than two treatments to compare
• Advantage over cross over: Carry over is controlled
LATIN SQUARE DESIGN
• The Latin-square design plans the clinical trial so that each subject receives each drug
product only once, with adequate time between medications for the elimination of the drug
from the body.
• In this design, each subject is his own control, and subject-to-subject variation is reduced.
• Moreover, variation due to sequence, period, and treatment (formulation) are reduced, so
that all patients do not receive the same drug product on the same day and in the same
order.
• Possible carryover effects from any particular drug product are minimized by changing the
sequence or order in which the drug products are given to the subject.
• Thus, drug product B may be followed by drug product A, D, or C .
Latin square
CIRCULAR PERMUTATION
NON- CIRCULAR PERMUTATION
LATIN SQUARE DESIGN
Incomplete block design (BIBD)
• More than 3 formulations, Latin square design will not be ethically advisable.
Because each volunteer may require drawing of too many blood samples. If each
volunteer expected to receive at least two formulation, then such a study can be
carried out using BIBD.
• It eliminates many of the difficulties encountered with the Latin square design.
• In this, each subject receives not more than two formulations, each formulation is
administered the same number of times and each pair of formulations occurs
together in the same number of subjects.
• In this design, as discussed above, each subject receives two formulations, each
formulation is administered six times and each pair of formulations occurs together
in two subjects (the pairs are AB, AC, AD, BC, BD, and CD).
Balanced incomplete block design (BIBD)
for four formulations
Replicate Crossover-study design
• For highly variable drugs.
• It allows comparisons of within-subject variances.
• It reduces the number of subjects needed.
• Four-period, two-sequence, two-formulation design (recommended) or Three-
sequence, three-period, single-dose, partially replicated.
• Replicated crossover designs are used for the determination of individual
bioequivalence, to estimate within-subject variance for both the Test and
Reference drug products, and to provide an estimate of the subject-by-
formulation interaction variance.
• Generally, a four-period, two-sequence, two-formulation design is recommended
by the FDA.
PERIOD 1 2 3 4
GROUP 1 T R T R
GROUP 2 R T R T
Where,
R = reference
T = treatment
The same reference and the same test are each given twice to the same
subject. Other sequences are possible. In this design, Reference-to-
Reference and Test-to-Test comparisons may also be made.
Stepped wedge
Impact of Replacing Smear Microscopy with Xpert MTB/RIF for Diagnosing
Tuberculosis in Brazil: A Stepped-Wedge Cluster-Randomized Trial . PLoS Med.
2014 Dec; 11(12): e1001766.
Stepped-wedge design with 14 clusters (study laboratories with serviced clinics)
and eight monthly measurement periods.
Replacing smear microscopy with Xpert MTB/RIF in Brazil increased confirmation
of pulmonary TB
Stepped wedge
Strengths:
• Efficiency: Units act as their own control, so fewer units needed
(same as cross-over design)
• Power is relatively insensitive to Coefficient of variation
• Power can be maximize the number of steps
• Logistical or financial - cannot introduce the intervention in all
units at once
• Evaluate the community effectiveness of an intervention
previously shown to be efficacious in an individually randomized
trial or in a different setting
• Systematically evaluate new program
• To study the effect of time on intervention effectiveness (i.e.
seasonality, time since introduction)
Limitations
• Intervals should be long
enough to capture the full
treatment effect
• Multiple data collection
points required
• Effect of variation with
time
• Complex data analysis
Examples of higher order cross over studies
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WILLIAMS DESIGN
When there are more than two treatments to be compared, a
complete crossover design is called William’s design.
I. William’s design with three treatments
ACB BAC CBA
BCA CAB ABC
II. William’s design with four treatments
ADBC BACD CBDA DCAB
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N of 1 trial
 Multiple crossover trials, usually randomized and blinded, conducted in a single
patient.
 N-of-1 trials are a specific form of randomized designs characterized by periodic
switching from active treatment to placebo or between active treatments(("withdrawal-
reversal" designs)
 Done when there is doubt about whether a treatment is really providing benefit to the
patient.
 By prescribing multiple episodes of treatment, n-of-1 trials increase precision of
measurement and control for treatment-by-time interaction
N of 1 design
• Indications :
• Substantial clinical uncertainty
• Chronic or frequently recurring symptomatic condition
• Treatment with rapid onset and minimal carryover
• Contraindications :
• Rapidly progressive condition
• Treatment with slow onset or prolonged carryover
• Patient or clinician insufficiently interested in reducing therapeutic uncertainty to justify
effort
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N OF 1 TRIAL
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SERIAL CONTROLLED N-OF-1 TRIALS OF TOPICAL
VITAMIN E AS PROPHYLAXIS FOR CHEMOTHERAPY-
INDUCED ORAL MUCOSITIS IN PAEDIATRIC PATIENTS.
Sung L1
, Tomlinson GA, Greenberg ML, Koren G, Judd P, Ota S, Feldman BM
24/03/2025 41
SPLIT PERSON DESIGN
• Occasionally, it is possible to administer the two interventions at the
same time.
•Very similar to that of the cross-over trial, except there is no equivalent
to the periods or to the wash-out although a carry-over (now termed
carry-across) effect is likely to be present.
Drug A Drug B
Split Mouth Design
24/03/2025 42
Split person design...
Drug A Drug B
Psoriasis patient
• Occasionally, it is possible to administer the two interventions at the
same time.
•Very similar to that of the cross-over trial, except there is no
equivalent to the periods or to the wash-out although a carry-over
(now termed carry-across) effect is likely to be present.
24/03/2025 43
Split person design...
• Occasionally, it is possible to administer the two interventions at the same
time.
•Very similar to that of the cross-over trial, except there is no equivalent to the
periods or to the wash-out although a carry-over (now termed carry-across)
effect is likely to be present.
Drug A Drug B
Paired Organs
High-dose Valacyclovir Decreases Plasma HIV-1 RNA More Than Standard-dose Acyclovir in
HIV-1, HSV-2 Positive Persons: a Randomized, Crossover Trial.
J Acquir Immune Defic Syndr. 2013 Jun 1; 63(2): 201–208.
Valacyclovir 1000 mg twice daily or Acyclovir 400 mg twice daily for 12 weeks, followed by a two week
washout
HSV DNA was measured from daily self-collected genital swabs for the initial 4 weeks of each arm and
HIV-1 RNA was quantified from weekly plasma samples
High-dose valacyclovir reduces plasma HIV-1 RNA levels more than standard-dose acyclovir in HIV-1/HSV-2
seropositive persons not receiving antiretroviral therapy
Jax, T., Stirban, A., Terjung, A. et al. A randomised, active- and placebo-controlled, three-
period crossover trial to investigate short-term effects of the dipeptidyl peptidase-4
inhibitor linagliptin on macro- and microvascular endothelial function in type 2
diabetes. Cardiovasc Diabetol 16, 13 (2017). https://doi.org/10.1186/s12933-016-0493-3
Crossover study randomised T2D patients (n = 42)
with glycated haemoglobin (HbA1c) ≤7.5
on stable metformin background to linagliptin 5 mg
qd, glimepiride 1–4 mg qd or placebo for 28 days.
Fasting and postprandial macrovascular endothelial
function, measured using brachial flow-mediated
vasodilation, and microvascular functionwere
analysed after 28 days
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A Phase II, Randomized, Double-Blind Crossover Study of Hypertena
and Placebo in Participants with High Blood Pressure
DIFFERENCE BETWEEN PARALLEL AND CROSSOVER STUDY DESIGN
PARALLEL STUDY DESIGN CROSSOVER STUDY DESIGN
Groups assigned different treatments Each patient receives both treatments
Shorter duration Longer duration
Sample size is large Sample size is smaller
No carryover effect Carryover effect
Acute cases Not in acute cases
Doesn’t require stable disease and
similar baseline
Requires stable disease and similar
baseline
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ADVANTAGES OF CROSS OVER TRIALS
• Patient effect – reduces inter patient variability since same patient serves as control and
increases precision of estimation
• Requires less sample size
• Provides unbiased result with proper randomization
• Improves on the ethical considerations since all subjects are exposed to both therapies at
some point
• Applied for phase I and phase II studies
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DISADVANTAGES OF CROSS OVER TRAILS
• Carryover effect-the effect of a treatment in one period may carry over into the next period.
• Period effect- patients vary from one period to another. The disease may naturally
progress, regress, or fluctuate in severity.
• Not useful for acute disease
• Needs to determine appropriate length of washout period
• Blinding – subjects able to compare drugs
• Assessing adverse events
• High dropout rates
• Not suitable for Behavioral/educational interventions
• The order in which the therapies are given may elicit psychological response