Dose–response framework with dosage defined as cumulative intensity

Research Method · All research methods
Evidence · 2 claims (2 for) · 1 study (1 quant-synthesis), q3 · 0 of 1 report an effect size · 2 claims rest on one study

Description

The article applies the dose–response framework, borrowed from medicine and pharmacology, to academic intervention: the dose–response curve represents the relation between an intervention's intensity and its effects. Dosage is operationalized following Warren et al. (2007) as "the product of an intervention's session duration (e.g., 30 min), frequency (e.g., three times per week), and length of treatment (e.g., 15 weeks)", quantified as total instructional hours per student. The framework distinguishes a linear dose–response relation, where "the effect of the treatment increases in direct proportion to the amount of treatment delivered", from a nonlinear one that peaks and then plateaus or diminishes. The authors use it to test whether K-3 mathematics interventions show diminishing returns as reading interventions do.

Accounts

• Dose–response framework with dosage defined as cumulative intensity (session duration × frequency × treatment length): The article applies the dose–response framework, borrowed from medicine and pharmacology, to academic intervention: the dose–response curve represents the relation between an intervention's intensity and its effects. Dosage is operationalized following Warren et al. (2007) as "the product of an intervention's session duration (e.g., 30 min), frequency (e.g., three times per week), and length of treatment (e.g., 15 weeks)", quantified as total instructional hours per student. The framework distinguishes a linear dose–response relation, where "the effect of the treatment increases in direct proportion to the amount of treatment delivered", from a nonlinear one that peaks and then plateaus or diminishes. The authors use it to test whether K-3 mathematics interventions show diminishing returns as reading interventions do. (Anna H. Miller et al. (2025))

Claims

• The dose–response relation for K-3 intensive mathematics interventions is linear, with no support for a nonlinear (quadratic) curve [+M]
• Dosage significantly predicts intervention effects in a linear model (β = 0.03 per hour), but the dosage main effect is no longer significant after controlling for moderators [+M]

Related Research Methods

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Key Sources

• Anna H. Miller, Daniel R. Espinas, Daniel McNeish, & Marcia A. Barnes. (2025). Dosage Response in Intensive Mathematics Interventions for Early Elementary Students With or At-Risk for Mathematics Learning Disability. Educational Psychology Review, 37, 91. https://doi.org/10.1007/s10648-025-10070-y

Page metadata

Field	Value
type	research-method
id	doseresponse-framework-with-dosage-defined-as-cumulative-intensity
title	Dose–response framework with dosage defined as cumulative intensity
description	The article applies the dose–response framework, borrowed from medicine and pharmacology, to academic intervention: the dose–response curve represents the relation between an intervention's intensity and its effects.
status	review
generated	by process:settle-candidates on 2026-10-22
trust	unverified — no one has confirmed this page's content

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