Confidence Intervals from Normalized Data: A correction to Cousineau (2005)
Tutorials in Quantitative Methods for PsychologyPublished 1 September 2008Open access
Richard D. Morey
Citations2,083
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TL;DR
It is shown why this is the case and offered a simple correction that makes the expected size of Cousineau confidence intervals the same as that of Loftus and Masson confidence intervals.
Abstract
Presenting confidence intervals around means is a common method of expressing uncertainty in data. These confidence intervals are based on the ANOVA mean squared error. I show why this is the case and offer a simple correction that makes the expected size of Cousineau confidence intervals the same as that of Loftus and Masson confidence intervals.
Keywords
Computer ScienceMathematicsDecision Sciences
Psychonomic Bulletin & ReviewUsing confidence intervals in within-subject designs
2,484 Citations1994Geoffrey R. Loftus, Michael E. J. Masson
It is argued that to best comprehend many data sets, plotting judiciously selected sample statistics with associated confidence intervals can usefully supplement, or even replace, standard hypothesis-testing procedures.
Tutorials in Quantitative Methods for PsychologyConfidence intervals in within-subject designs: A simpler solution to Loftus and Masson's method
1,926 Citations2005Denis Cousineau
A simple alternative method is proposed that provides a single error bar for all the conditions, masking information such as the heterogeneity of variances across conditions and how it can be implemented in SPSS.
Canadian Journal of Experimental Psychology/Revue canadienne de psychologie expérimentaleUsing confidence intervals for graphically based data interpretation.
730 Citations2003Michael E. J. Masson, Geoffrey R. Loftus
As a potential alternative to standard null hypothesis significance testing, methods for graphical presentation of data--particularly condition means and their corresponding confidence intervals--for a wide range of factorial designs used in experimental psychology are described.