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Related Concept Videos

Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
Calibration Curves: Correlation Coefficient01:10

Calibration Curves: Correlation Coefficient

In a linear calibration curve, there is a value called the calibration coefficient, denoted by 'r,' which measures the strength and the direction of association between two variables. The correlation coefficient value ranges from −1 to +1. A value of +1 indicates a perfect positive linear correlation, −1 denotes a perfect negative correlation, and 0 implies no correlation between the two variables. A positive correlation value establishes that as one variable increases, the other increases, and...
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
Variation01:19

Variation

An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...
Instrument Calibration01:12

Instrument Calibration

Instrument calibration is essential for ensuring that instruments produce accurate and consistent results. It is vital in manufacturing, healthcare, testing laboratories, and scientific research. Calibration processes are specific to each instrument and help enhance data accuracy. Each instrument has a unique calibration process tailored to its design and function to improve data accuracy.
Analytical Balance Calibration
An analytical balance measures mass and requires regular calibration to...
The Anchoring-and-Adjustment Heuristic01:25

The Anchoring-and-Adjustment Heuristic

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Related Experiment Video

Updated: May 18, 2026

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

Adaptive prior variance calibration in the Bayesian continual reassessment method.

Jin Zhang1, Thomas M Braun, Jeremy M G Taylor

  • 1Department of Biostatistics, University of Michigan, Ann Arbor, Michigan 48109, USA. zhjin@umich.edu

Statistics in Medicine
|September 19, 2012
PubMed
Summary

This study introduces three new methods to adaptively calibrate prior variance in continual reassessment method (CRM) trials. These approaches aim to improve maximum tolerated dose identification in early-phase clinical trials.

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An R-Based Landscape Validation of a Competing Risk Model
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Last Updated: May 18, 2026

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Area of Science:

  • Clinical Trials Methodology
  • Biostatistics
  • Pharmacometrics

Background:

  • Model-based designs, like the continual reassessment method (CRM), are increasingly used for Phase I clinical trials to better identify the maximum tolerated dose (MTD) compared to traditional methods.
  • A key challenge with CRM is its sensitivity to the prior distribution's variance, particularly with small sample sizes.
  • Existing methods for variance calibration are often limited to the trial's initiation, lacking real-time adaptation.

Purpose of the Study:

  • To propose and evaluate novel methods for adaptively calibrating the prior variance throughout Phase I clinical trials using the CRM.
  • To compare the performance of these new adaptive methods against existing methods that calibrate variance only at the trial's start.

Main Methods:

  • Development of three distinct systematic approaches for adaptive prior variance calibration within the CRM framework.
  • Simulation studies to assess the performance of the proposed adaptive methods.
  • Comparison of adaptive calibration methods with conventional, non-adaptive variance calibration techniques.

Main Results:

  • The proposed adaptive methods demonstrate a potential for improved performance in identifying the MTD.
  • Simulation results indicate that adaptive calibration can mitigate the sensitivity of CRM to initial variance choices, especially in early-phase trials.
  • Comparative analysis highlights the advantages of dynamic variance adjustment over static, pre-trial calibration.

Conclusions:

  • Adaptive calibration of prior variance offers a promising advancement for CRM-based Phase I clinical trial design.
  • The developed methods provide a more robust approach to MTD identification, enhancing trial efficiency and patient safety.
  • Further research and validation are warranted to implement these adaptive strategies in clinical practice.