The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
An Improved Rank Correlation Effect Size Statistic for Single-Case Designs: Baseline Corrected Tau
Abstract
Measuring treatment effects when an individual’s pretreatment performance is improving poses a challenge for single-case experimental designs. It may be difficult to determine whether improvement is due to the treatment or due to the preexisting baseline trend. Tau- U is a popular single-case effect size statistic that purports to control for baseline trend. However, despite its strengths, Tau- U has substantial limitations: Its values are inflated and not bound between −1 and +1, it cannot be visually graphed, and its relatively weak method of trend control leads to unacceptable levels of Type I error wherein ineffective treatments appear effective. An improved effect size statistic based on rank correlation and robust regression, Baseline Corrected Tau, is proposed and field-tested with both published and simulated single-case time series. A web-based calculator for Baseline Corrected Tau is also introduced for use by single-case investigators.
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R: A Language and Environment for Statistical Computing
R Core Team (2025) · doi:10.32614/r.manuals · Cited by 352,181
Statistical power analysis for the behavioral sciences
(1990) · Computers, Environment and Urban Systems · doi:10.1016/0198-9715(90)90050-4 · Cited by 65,269
The Hospital Anxiety and Depression Scale
Zigmond, A. S., & Snaith, R. P. (1983) · Acta Psychiatrica Scandinavica · doi:10.1111/j.1600-0447.1983.tb09716.x · Cited by 47,139
An inventory for measuring depression
BECK, A. T. (1961) · Archives of General Psychiatry · doi:10.1001/archpsyc.1961.01710120031004 · Cited by 38,032
Development and validation of brief measures of positive and negative affect: The PANAS scales.
Watson, D., Clark, L. A., & Tellegen, A. (1988) · Journal of Personality and Social Psychology · doi:10.1037/0022-3514.54.6.1063 · Cited by 32,433
Time Series Analysis: Forecasting and Control
Geurts, M., Box, G. E. P., & Jenkins, G. M. (1977) · Journal of Marketing Research · doi:10.2307/3150485 · Cited by 19,186
Individual Comparisons by Ranking Methods
Wilcoxon, F. (1945) · Biometrics Bulletin · doi:10.2307/3001968 · Cited by 15,354
(1963) · Medical Entomology and Zoology · Cited by 15,085
Estimates of the Regression Coefficient Based on Kendall's Tau
Sen, P. K. (1968) · Journal of the American Statistical Association · doi:10.1080/01621459.1968.10480934 · Cited by 14,517
On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
Mann, H. B., & Whitney, D. R. (1947) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730491 · Cited by 14,320
Cited by
Krasny-Pacini, A., & Evans, J. (2018) · Annals of Physical and Rehabilitation Medicine · doi:10.1016/j.rehab.2017.12.002 · Cited by 373
Interpreting Kendall’s Tau and Tau- U for single-case experimental designs
Brossart, D. F., Laird, V. C., & Armstrong, T. W. (2018) · Cogent Psychology · doi:10.1080/23311908.2018.1518687 · Cited by 210
A Priori Justification for Effect Measures in Single-Case Experimental Designs
Manolov, R., Moeyaert, M., & Fingerhut, J. E. (2022) · Perspectives on Behavior Science · doi:10.1007/s40614-021-00282-2 · Cited by 53
“BCT represents an improvement over Tau-U (Parker et al., 2011b), because it provides stronger control for baseline trend and it does not produce out-of-range values.”
BackgroundMethodInfluentialResults reporting in single case experiments and single case meta-analysis
Vannest, K. J., Peltier, C., & Haas, A. (2018) · Research in Developmental Disabilities · doi:10.1016/j.ridd.2018.04.029 · Cited by 51
Fingerhut, J., Xu, X., & Moeyaert, M. (2021) · Evidence-Based Communication Assessment and Intervention · doi:10.1080/17489539.2021.1937851 · Cited by 43
Metadata
- Authors
- Tarlow, K. R.
- Venue
- Behavior Modification
- Publisher
- SAGE Publications
- Published
- 2016-11-09
- Volume
- 41
- Issue
- 4
- Pages
- 427-467
- ISSN
- 0145-4455 (ISSN-L)
- 1552-4167
- OpenAlex
- W2557094516
- Cited by
- 283
- References
- 51
- FWCI
- 31.91
- Type
- journal article
- Language
- en
- Open access
- closed
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