2018
DOI: 10.3758/s13428-018-1060-5
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Inference statistical analysis of continuous data based on confidence bands—Traditional and new approaches

Abstract: In the analysis of continuous data, researchers are often faced with the problem that statistical methods developed for single-point data (e.g., t test, analysis of variance) are not always appropriate for their purposes. Either methodological adaptations of single-point methods will need to be made, or confidence bands are the method of choice. In this article, we compare three prominent techniques to analyze continuous data (single-point methods, Gaussian confidence bands, and function-based resampling metho… Show more

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Cited by 8 publications
(6 citation statements)
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References 11 publications
(17 reference statements)
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“…
Figure 1 Velocity profiles of the receiver’s reaching velocity. Confidence bands were generated using a point-by-point bootstrap approach by Joch et al 16 . The table includes measured mean and peak velocities for all four velocity variations.
…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…
Figure 1 Velocity profiles of the receiver’s reaching velocity. Confidence bands were generated using a point-by-point bootstrap approach by Joch et al 16 . The table includes measured mean and peak velocities for all four velocity variations.
…”
Section: Resultsmentioning
confidence: 99%
“…In all figures with confidence bands the point-based-resampling-technique (PBRT 16 ) was used, which leads to 95% confidence bands that make it possible to reliably evaluate statistical significance.…”
Section: Methodsmentioning
confidence: 99%
“…This should enable informed decisions regarding which particular measures to compute when planning a conceptually similar experiment, and it allows for gauging how these measures are affected by design choices. Further, we also provide the raw data for more specialized approaches (e.g., Joch et al, 2019 ; Scherbaum et al, 2010 ), as well as the analysis scripts, so every step of the analysis can be easily reproduced.…”
Section: Discussionmentioning
confidence: 99%
“…Therefore, possible modulations of the Simon effect or its sequential adaptation by the setup should be especially meaningful. More advanced statistical methods have been proposed that are explicitly tailored to specific research questions in the context of continuous data (e.g., Joch, Döhring, Maurer, & Müller, 2019 ; Maldonado, Dunbar, & Chemla, 2019 ; Scherbaum, Dshemuchadse, Fischer, & Goschke, 2010 ), and we provide the raw data online to enable the application of these approaches ( www.osf.io/am6yp ).…”
Section: Experiments 1: Manipulation Of Input Devicementioning
confidence: 99%
“…Other kinematic investigations have used single-point data analysis [ 23 , 24 ], for example, by comparing joint angles at the moment of the toe-off [ 23 ] or by using local Gaussian methods on time-normalized data chunks of one-minute duration [ 25 ]. Statistical methods considering whole function-like data curves are, however, crucial because analyzing gait data with single-point approaches may also result in validity and reliability issues [ 26 ]. The influence of altered conditions on continuous data can barely be expressed in a single data point.…”
Section: Introductionmentioning
confidence: 99%