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Cumming, Geoff – Teaching Statistics: An International Journal for Teachers, 2007
A picture of a 95% confidence interval (CI) implicitly contains pictures of CIs of all other levels of confidence, and information about the "p"-value for testing a null hypothesis. This article discusses pictures, taken from interactive software, that suggest several ways to think about the level of confidence of a CI,…
Descriptors: Intervals, Statistics, Computation, Visual Aids
Beyth-Marom, Ruth; Fidler, Fiona; Cumming, Geoff – Statistics Education Research Journal, 2008
Practitioners and teachers should be able to justify their chosen techniques by taking into account research results: This is evidence-based practice (EBP). We argue that, specifically, statistical practice and statistics education should be guided by evidence, and we propose statistical cognition (SC) as an integration of theory, research, and…
Descriptors: Statistics, Instruction, Evidence, Research Reports
Cumming, Geoff; Maillardet, Robert – Psychological Methods, 2006
Confidence intervals (CIs) give information about replication, but many researchers have misconceptions about this information. One problem is that the percentage of future replication means captured by a particular CI varies markedly, depending on where in relation to the population mean that CI falls. The authors investigated the distribution of…
Descriptors: Intervals, Misconceptions, Mathematical Concepts, Researchers
Cumming, Geoff; Finch, Sue – American Psychologist, 2005
Wider use in psychology of confidence intervals (CIs), especially as error bars in figures, is a desirable development. However, psychologists seldom use CIs and may not understand them well. The authors discuss the interpretation of figures with error bars and analyze the relationship between CIs and statistical significance testing. They propose…
Descriptors: Research Design, Psychologists, Psychology, Intervals
Belia, Sarah; Fidler, Fiona; Williams, Jennifer; Cumming, Geoff – Psychological Methods, 2005
Little is known about researchers' understanding of confidence intervals (CIs) and standard error (SE) bars. Authors of journal articles in psychology, behavioral neuroscience, and medicine were invited to visit a Web site where they adjusted a figure until they judged 2 means, with error bars, to be just statistically significantly different (p…
Descriptors: Researchers, Misconceptions, Intervals, Statistical Significance