Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/152821
Title: A simulation study on two analytical techniques for alternating treatments designs
Author: Manolov, Rumen
Keywords: Disseny d'experiments
Correlació (Estadística)
Investigació de cas únic
Estadística
Experimental design
Correlation (Statistics)
Single subject research
Statistics
Issue Date: 1-Jul-2019
Publisher: SAGE Publications
Abstract: Alternating treatments designs (ATDs) are single-case experimental designs entailing the rapid alternation of conditions, and the specific sequence of conditions is usually determined at random. The visual analysis of ATD data entails comparing the data paths formed by connecting the measurements from the same condition. Apart from visual analyses, there are at least two quantitative analytical options also comparing data paths. On option is a visual structured criterion (VSC) regarding the number of comparisons for which one conditions has to be superior to the other to consider that the difference is not only due to random fluctuations. Another option, denoted as ALIV (a comparison involving Actual and Linearly Interpolated Values), computes the mean difference between the data paths and uses a randomization test to obtain a p value. In the current study, these two options are compared, along with a binomial test, in the context of simulated data, representing ATDs with a maximum of two consecutive administrations of the same condition and a randomized block design. Both VSC and ALIV control Type I error rates, although these are closer to the nominal 5% for ALIV. In contrast, the binomial test is excessively liberal. In terms of statistical power, ALIV plus a randomization test is superior to VSC. We recommend that applied researchers complement visual analysis with the quantification of the mean difference, as per ALIV, and with a p value whenever the alternation sequence was determined at random. We have extended an already existing website providing the graphical representation and the numerical results.
Note: Versió postprint del document publicat a: https://doi.org/10.1177/0145445518777875
It is part of: Behavior Modification, 2019, vol. 43, num. 4, p. 544-563
URI: http://hdl.handle.net/2445/152821
Related resource: https://doi.org/10.1177/0145445518777875
ISSN: 0145-4455
Appears in Collections:Articles publicats en revistes (Psicologia Social i Psicologia Quantitativa)

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