Back to Explorer

Statistical Approaches to Establishing Bioequivalence

FinalCenter for Drug Evaluation and Research02/01/2001
BioequivalenceIndividual BEPopulation BEIndividual BE criterionPopulation BioequivalenceIndividual BioequivalenceAverage BioequivalenceBioavailabilityAverage BE approachPopulation BE approachIndividual BE approach

Description

The Food and Drug Administration (FDA) is announcing the availability of a guidance for industry entitled “Statistical Approaches to Establishing Bioequivalence.” This guidance provides recommendations to sponsors and/or applicants who intend to use equivalence criteria in analyzing in vivo or in vitro bioequivalence (BE) studies for investigational new drug applications (IND’s), new drug applications (NDA’s), abbreviated new drug applications (ANDA’s) and supplements to these applications. The guidance discusses the use of average, population, and individual BE approaches to compare in vivo and in vitro bioavailability (BA) measures. (This guidance replaces the draft guidance that was issued in 1999 entitled “Average, Population, and Individual Approaches to Establishing Bioequivalence.”)

Key Topics

Terms and concepts identified from this document

Scope & Applicability

Product Classes

2
Sustained-release dosage form

Product failure could occur with a sustained-release dosage form exhibiting dose dumping.

Delayed-release dosage form

Product failure could occur with a delayed-release dosage form.

Stakeholders

6
Sponsor

Entity responsible for submitting applications under section 524B

Subjects

The number of subjects provided in the table (N)

Applicants

Entities submitting supplements to BLAs

Sponsors

Assist sponsors in the nonclinical evaluation

Applicant

Entity submitting development data and knowledge; Entity performing the work process for change

Evaluable subjects

A minimum number of 12 evaluable subjects should be included in any BE study

Regulatory Context

Regulatory Activities

4
IND

Investigational New Drug submissions

NDA

New Drug Application

ANDA

Abbreviated New Drug Application

BE study

Conducted with the 10 mg strength comparing it to the accepted comparator product

Document Types

5
Replicated crossover designs

Critical for individual BE approach to allow estimation of variances.

Appendix G

describes method for statistical test of individual bioequivalence

Study protocol

Should include biological rationale for subgroups

Nonreplicated designs

Standard two-formulation, two-period, two-sequence crossover design.

Protocol

Defines the standard of veterinary practice and limits for anesthetic regimens

Attributes

10
AUC

AUC or Cmin may correlate with efficacy

σWT²

Within-subject variance of the test product.

σWR²

Within-subject variance of the reference product.

σD²

Variance component representing subject-by-formulation interaction.

Within-subject standard deviation

Parameter used to select between reference-scaled or constant-scaled criteria.

Standard deviation

present the mean value with variance components (standard deviation and percent CV); Establishing standard deviation (SD) for the Allowable Total Difference (ATD) zone

95% Upper Confidence Bound

To test for population bioequivalence, compute the 95% upper confidence bound of the linearized criterion.

Sample size

Determined during the planning of a research study

Carryover effects

statistical effects that can confound BE analysis; assumption of no (or equal) carryover effects

Within-subject variability

variance term difference added to the average BE criterion

Technical Details

Testing Methods

10
PROC MIXED

used for fully replicate (4-way) BE studies; Statistical procedure used for intermediate analysis and unscaled BE calculation

95% Upper Confidence Bounds

Statistical threshold used to conclude bioequivalence.

Satterthwaite approximation

DDFM=SATTERTH in PROC MIXED

Simulated data

Sample sizes for population and individual BE should be based on simulated data.

Fixed effects model

statistical model often assuming a common effect across trials

Repeated Crossover Designs

Clinical trial designs used for assessing bioequivalence.

Log Transformation

A data treatment method for bioequivalence data.

Validated assay methodology

Criteria for discounting unequal carryover effects.

ANOVA

Analysis of variance for % TBWL

MM

Sponsors considering alternative methods to Method of Moments (MM).

Processes

10
Logarithmic Transformation

Transformation of pharmacokinetic data

Two-sequence, four-period design

Study design used for construction of confidence bounds.

Mixed-scaling approach

A combination of reference and constant scaling for testing individual BE.

Four-period crossover designs

Method for Statistical Test of Population Bioequivalence Criterion Four-Period Crossover Designs

Three-period design

Simulation studies for 3-period and 4-period designs.

Four-period design

Results for four-period designs use relative efficiency data of Liu.; statistical model assuming a four-period design with equal replication

Two-period design

Results for two-period designs use method of Diletti et al.

Balaam design

Uses sequences TR, RT, TT, and RR

Replicated crossover studies

Design allowing for a within-subject test for unequal carryover effects.

Crossover study

A study carried out in two or more groups of subjects.; Replicated crossover designs used for sample size determination.; model definition can be extended to other crossover designs

Identified Hazards

Hazards

2
Carryover effects

Residual effects where the response to a formulation is affected by previous formulations.

Dose dumping

potential cause of product failure in sustained-release dosage forms

Standards & References

External Standards

1
SAS version 6.12

statistical software used for BE analysis

Specifications

10
80-125%

Standard bioequivalence acceptance intervals for confidence intervals.

swo

Regulatory constant for within-subject standard deviation used as a switching point.

sT0

regulatory constant for switching between constant and reference scaling

Minimum of 12 subjects

suggests a minimum of 12 subjects in all BE studies.

90% power

Tables 1-4 below give sample sizes for 80% and 90% power.

80% power

Tables 1-4 below give sample sizes for 80% and 90% power.

0.8-1.25

range for average T to R ratios

1.25

maximum allowable IDR and upper BE limit for average BE criterion

Individual Difference Ratio

The square root of the ratio of the expected squared difference between T and R administered to the same individual.

Population Difference Ratio

The square root of the ratio of the expected squared T-R difference compared to the expected squared R-R' difference.

Related MFDS Guidelines

Korean regulatory guidelines covering similar topics

See Also (8)