Standard deviation and standard error of the mean

Dong Kyu Lee, Junyong In, Sangseok Lee

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

In most clinical and experimental studies, the standard deviation (SD) and the estimated standard error of the mean (SEM) are used to present the characteristics of sample data and to explain statistical analysis results. However, some authors occasionally muddle the distinctive usage between the SD and SEM in medical literature. Because the process of calculating the SD and SEM includes different statistical inferences, each of them has its own meaning. SD is the dispersion of data in a normal distribution. In other words, SD indicates how accurately the mean represents sample data. However the meaning of SEM includes statistical inference based on the sampling distribution. SEM is the SD of the theoretical distribution of the sample means (the sampling distribution). While either SD or SEM can be applied to describe data and statistical results, one should be aware of reasonable methods with which to use SD and SEM. We aim to elucidate the distinctions between SD and SEM and to provide proper usage guidelines for both, which summarize data and describe statistical results

Original languageEnglish
Pages (from-to)220-223
Number of pages4
JournalKorean Journal of Anesthesiology
Volume68
Issue number3
DOIs
Publication statusPublished - 2015 Jan 1

    Fingerprint

Keywords

  • Standard deviation
  • Standard error of the mean

ASJC Scopus subject areas

  • Anesthesiology and Pain Medicine

Cite this