Inconsistencies with formulas for the standard error of the standardized mean difference of repeated measures experiments.

Abstract:

:There are inconsistencies between the formulas for the variance of standardized mean difference (SMD) in the Cochrane Handbook for Systematic Reviews and the variance reported in other sources. Instead of the variance appropriate for the SMD of a crossover experiment, the Cochrane Handbook uses the variance appropriate for a pre-test post-test experiment. This means that if there is a non-negligible time period effect, the formula reported by the Handbook will underestimate both the effect size and its variance. In addition, the formula for the standard error of SMD reported in the Cochrane Handbook (in section 23.2.7.2) is inconsistent with the variance derived from the variance of the related t-test. Even if the period effect is negligible, the Cochrane Handbook formula is biased toward underestimates. The difference between the estimates from the two formulas will be small if either the correlation between the repeated measures, or the magnitude of the SMD estimate, is small, or if the sample size is large. However, it can be can be quite substantial in other circumstances.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Kitchenham B,Madeyski L

doi

10.1002/sim.8669

subject

Has Abstract

pub_date

2020-11-30 00:00:00

pages

4101-4104

issue

27

eissn

0277-6715

issn

1097-0258

journal_volume

39

pub_type

信件
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