Related Experiment Video
Updated: Mar 16, 2026

Author Spotlight: Evaluating the Adjuvant Efficacy and Safety of Angong Niuhuang Pill in Viral Encephalitis Treatment
Published on: April 19, 2024
Dose-response meta-analysis of differences in means.
Alessio Crippa1, Nicola Orsini2
1Department of Public Health Sciences, Karolinska Institutet, Stockholm, Sweden. alessio.crippa@ki.se.
This study introduces a new meta-analytical method for combining quantitative outcomes, like mean differences, from multiple studies. The approach effectively models dose-response relationships, showing a non-linear association for aripiprazole in treating shizoaffective patients.
Area of Science:
- Biostatistics
- Pharmacometrics
- Clinical Trial Analysis
Background:
- Existing meta-analytical methods are limited for combining quantitative outcomes expressed as mean differences.
- There is a need for robust statistical approaches to synthesize dose-response data from multiple studies when outcomes are continuous.
Purpose of the Study:
- To develop and validate a novel two-stage meta-analytical method for combining dose-response findings presented as mean differences.
- To establish a flexible approach for modeling non-linear dose-response relationships in quantitative outcomes across studies.
Main Methods:
- A two-stage approach was proposed: flexible dose-response modeling within each study, followed by a multivariate random-effects model to combine study-specific parameters.
- The method utilizes spline models, which do not require pre-specification of the dose-response curve shape and can accommodate various data characteristics.
- Covariance of data points (mean differences, standardized mean differences) is accounted for in the modeling process.
Main Results:
- The method was illustrated using clinical trial data for aripiprazole in shizoaffective patients, assessing symptom improvement via the Positive and Negative Syndrome Scale (PANSS).
- A non-linear dose-response association was identified, with a maximum mean PANSS score change of 10.40 (95% CI: 7.48, 13.30) at 19.32 mg/day.
- A dose of 10.43 mg/day was estimated to yield 80% of the maximum predicted response, with no significant improvement beyond this dose.
Conclusions:
- The proposed two-stage approach is suitable for combining correlated mean differences from multiple studies to establish dose-response relationships.
- Sensitivity analyses are recommended to ensure the robustness of the derived dose-response curves.
- A user-friendly R package is available to facilitate the practical application of this methodology by researchers and practitioners.
Related Concept Videos
Dose Response Curve: Conventional Versus Nonmonotonic
Dose-Response Relationship: Overview
Dose-Response Relationship: Potency and Efficacy
Dose-Response Relationship: Selectivity and Specificity
Pharmacodynamic Models: Additive and Proportional Drug Effect Model
Pharmacokinetic–Pharmacodynamic Relationship: Intensity of Dose-Effect Relationship
