Calculating and graphing within-subject confidence intervals for ANOVA
- PMID: 21858605
- DOI: 10.3758/s13428-011-0123-7
Calculating and graphing within-subject confidence intervals for ANOVA
Erratum in
- Behav Res Methods. 2013 Sep;46(3):899
Abstract
The psychological and statistical literature contains several proposals for calculating and plotting confidence intervals (CIs) for within-subjects (repeated measures) ANOVA designs. A key distinction is between intervals supporting inference about patterns of means (and differences between pairs of means, in particular) and those supporting inferences about individual means. In this report, it is argued that CIs for the former are best accomplished by adapting intervals proposed by Cousineau (Tutorials in Quantitative Methods for Psychology, 1, 42-45, 2005) and Morey (Tutorials in Quantitative Methods for Psychology, 4, 61-64, 2008) so that nonoverlapping CIs for individual means correspond to a confidence for their difference that does not include zero. CIs for the latter can be accomplished by fitting a multilevel model. In situations in which both types of inference are of interest, the use of a two-tiered CI is recommended. Free, open-source, cross-platform software for such interval estimates and plots (and for some common alternatives) is provided in the form of R functions for one-way within-subjects and two-way mixed ANOVA designs. These functions provide an easy-to-use solution to the difficult problem of calculating and displaying within-subjects CIs.
Comment in
-
Error bars in within-subject designs: a comment on Baguley (2012).Behav Res Methods. 2014 Dec;46(4):1149-51. doi: 10.3758/s13428-013-0441-z. Behav Res Methods. 2014. PMID: 24477859
Similar articles
-
Error bars in within-subject designs: a comment on Baguley (2012).Behav Res Methods. 2014 Dec;46(4):1149-51. doi: 10.3758/s13428-013-0441-z. Behav Res Methods. 2014. PMID: 24477859
-
Calculating the main alternatives to null-hypothesis-significance testing in between-subject experimental designs.Psicothema. 2009 Feb;21(1):141-51. Psicothema. 2009. PMID: 19178869
-
Standard errors and confidence intervals in within-subjects designs: generalizing Loftus and Masson (1994) and avoiding the biases of alternative accounts.Psychon Bull Rev. 2012 Jun;19(3):395-404. doi: 10.3758/s13423-012-0230-1. Psychon Bull Rev. 2012. PMID: 22441956 Free PMC article.
-
[Confidence interval or p-value--similarities and differences between two important methods of statistical inference of quantitative studies].Harefuah. 2014 Jan;153(1):48-51, 63. Harefuah. 2014. PMID: 24605408 Review. Hebrew.
-
Overcoming feelings of powerlessness in "aging" researchers: a primer on statistical power in analysis of variance designs.Psychol Aging. 1997 Mar;12(1):84-106. doi: 10.1037//0882-7974.12.1.84. Psychol Aging. 1997. PMID: 9100270 Review.
Cited by
-
Temporal dynamics of positive emotion regulation: insights from facial electromyography.Front Hum Neurosci. 2024 May 15;18:1387634. doi: 10.3389/fnhum.2024.1387634. eCollection 2024. Front Hum Neurosci. 2024. PMID: 38812471 Free PMC article.
-
Gestalt formation promotes awareness of suppressed visual stimuli during binocular rivalry.Vis cogn. 2023;31(1):18-42. doi: 10.1080/13506285.2023.2192991. Epub 2023 Apr 4. Vis cogn. 2023. PMID: 38108038 Free PMC article.
-
Memory for abstract control states does not decay with increasing retrieval delays.Psychol Res. 2024 Mar;88(2):547-561. doi: 10.1007/s00426-023-01870-4. Epub 2023 Aug 24. Psychol Res. 2024. PMID: 37615755 Free PMC article.
-
Power pose effects on approach and avoidance decisions in response to social threat.PLoS One. 2023 Aug 18;18(8):e0286904. doi: 10.1371/journal.pone.0286904. eCollection 2023. PLoS One. 2023. PMID: 37594940 Free PMC article.
-
Analysis of proportions using arcsine transform with any experimental design.Front Psychol. 2023 Jan 30;13:1045436. doi: 10.3389/fpsyg.2022.1045436. eCollection 2022. Front Psychol. 2023. PMID: 36793367 Free PMC article.
MeSH terms
LinkOut - more resources
Full Text Sources
