Randomization Does Not Help Much, Comparability Does.

According to R.A. Fisher, randomization "relieves the experimenter from the anxiety of considering innumerable causes by which the data may be disturbed." Since, in particular, it is said to control for known and unknown nuisance factors that may considerably challenge the validity of a re...

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Main Author: Uwe Saint-Mont
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4507867?pdf=render
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author Uwe Saint-Mont
author_facet Uwe Saint-Mont
author_sort Uwe Saint-Mont
collection DOAJ
description According to R.A. Fisher, randomization "relieves the experimenter from the anxiety of considering innumerable causes by which the data may be disturbed." Since, in particular, it is said to control for known and unknown nuisance factors that may considerably challenge the validity of a result, it has become very popular. This contribution challenges the received view. First, looking for quantitative support, we study a number of straightforward, mathematically simple models. They all demonstrate that the optimism surrounding randomization is questionable: In small to medium-sized samples, random allocation of units to treatments typically yields a considerable imbalance between the groups, i.e., confounding due to randomization is the rule rather than the exception. In the second part of this contribution, the reasoning is extended to a number of traditional arguments in favour of randomization. This discussion is rather non-technical, and sometimes touches on the rather fundamental Frequentist/Bayesian debate. However, the result of this analysis turns out to be quite similar: While the contribution of randomization remains doubtful, comparability contributes much to a compelling conclusion. Summing up, classical experimentation based on sound background theory and the systematic construction of exchangeable groups seems to be advisable.
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spelling doaj.art-7cb9f7e5bf474c94bd46e89388386d082022-12-22T02:05:15ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01107e013210210.1371/journal.pone.0132102Randomization Does Not Help Much, Comparability Does.Uwe Saint-MontAccording to R.A. Fisher, randomization "relieves the experimenter from the anxiety of considering innumerable causes by which the data may be disturbed." Since, in particular, it is said to control for known and unknown nuisance factors that may considerably challenge the validity of a result, it has become very popular. This contribution challenges the received view. First, looking for quantitative support, we study a number of straightforward, mathematically simple models. They all demonstrate that the optimism surrounding randomization is questionable: In small to medium-sized samples, random allocation of units to treatments typically yields a considerable imbalance between the groups, i.e., confounding due to randomization is the rule rather than the exception. In the second part of this contribution, the reasoning is extended to a number of traditional arguments in favour of randomization. This discussion is rather non-technical, and sometimes touches on the rather fundamental Frequentist/Bayesian debate. However, the result of this analysis turns out to be quite similar: While the contribution of randomization remains doubtful, comparability contributes much to a compelling conclusion. Summing up, classical experimentation based on sound background theory and the systematic construction of exchangeable groups seems to be advisable.http://europepmc.org/articles/PMC4507867?pdf=render
spellingShingle Uwe Saint-Mont
Randomization Does Not Help Much, Comparability Does.
PLoS ONE
title Randomization Does Not Help Much, Comparability Does.
title_full Randomization Does Not Help Much, Comparability Does.
title_fullStr Randomization Does Not Help Much, Comparability Does.
title_full_unstemmed Randomization Does Not Help Much, Comparability Does.
title_short Randomization Does Not Help Much, Comparability Does.
title_sort randomization does not help much comparability does
url http://europepmc.org/articles/PMC4507867?pdf=render
work_keys_str_mv AT uwesaintmont randomizationdoesnothelpmuchcomparabilitydoes