Back to results

University of Cambridge

Rational Effect Size Measurement

Abstract

dc:description.abstract

We often want to achieve our goals as effectively as possible. But what are the most effective interventions to achieve our goals? Here, we often turn to science for advice. And, scientists across various fields – from social science to medicine – measure how effective tested interventions are, using so-called effect size measures. Such effect sizes are widely used to inform evidence-based decision-making. But do the effect sizes of tested interventions convey the information relevant for rationally choosing the best intervention? The arguments I present in this thesis suggest otherwise: Effect sizes do not always convey the information that matters to rationally choose between interventions, and effect size measures differ in when they provide the information relevant for rational decision-making. Based on my results, I advance debates on which, if any, effect sizes scientists ought to use to inform decision-making. In Chapters 2 and 3 I focus on effect size measures for binary outcome variables. In Chapter 2, I argue that so-called absolute effect sizes are at least as good as, if not better than, so-called relative effect sizes for informing rational decisions across choice scenarios, at least for some rational agents. But, as I show in Chapter 3, both absolute and relative effect sizes may still omit information that risk-sensitive rational agents care about in deciding between interventions. These findings advance recent debates on whether medical researchers should seize to report only relative effect sizes. In Chapters 4 and 5 I focus on effect size measures for continuous outcome variables. In Chapter 4, I show that even perfectly accurate so-called mean differences omit information which can be vital for people to rationally choose the best intervention. However, the good news is: I provide sufficient conditions for when mean differences do not omit information that matters to rational decision-makers. In Chapter 5, I focus on the widespread practice of using so-called standardised mean differences to measure an intervention’s effect size when researchers face measurement uncertainty. I argue that reporting standardised mean differences risks omitting information that matters for rational decision-makers, information they could learn from the mean differences and standard deviations researchers could instead report. These findings advance longstanding debates on how researchers in the human sciences should use mean differences and standardised mean differences to inform evidence-based decision-making.

Degree

thesis:*
Name dc:type.qualificationname
Doctor of Philosophy (PhD)
Level dc:type.qualificationlevel
Doctoral
Grantor dc:publisher.institution
University of Cambridge
Year dc:date.issued
2024

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Jäntgen, Ina
Advisors dc:contributor.advisor
  • Bird, Alexander
  • Stegenga, Jacob

Subjects

dc:subject × 4

Rights

dc:rights
Language dc:language
eng

Identifiers

dc:identifier.*
DOI dc:identifier.doi
https://doi.org/10.17863/CAM.115922
OAI identifier oai:identifier
oai:www.repository.cam.ac.uk:1810/379952

Chain of custody

source
Harvested from
Cambridge University
Base URL
api.repository.cam.ac.uk/server/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Jäntgen, Ina. Rational Effect Size Measurement. Doctoral thesis, University of Cambridge, 2024. https://doi.org/10.17863/CAM.115922