1987
DOI: 10.1037/0096-3445.116.3.315
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Hick's Law versus a power law: Reply to Welford.

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Cited by 6 publications
(6 citation statements)
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“…They submitted a power curve as a replacement for fitting the data: In response to Longstreth et al's model, Welford (1987) pointed out that when the model is applied to certain data sets, negative intercepts are derived, which is illogical for the dependent measure of time, and that the equation predicts a decreasing RT variability as a function of the number of alternatives, when empirically, the opposite has been observed. Longstreth and Alcorn (1987) offered their rebuttal but Longstreth (1988) may have relented when he conceded that the linearity as predicted by the law is true but is bounded by an upper limit of 3 bits.…”
Section: Theoretical Developmentsmentioning
confidence: 95%
“…They submitted a power curve as a replacement for fitting the data: In response to Longstreth et al's model, Welford (1987) pointed out that when the model is applied to certain data sets, negative intercepts are derived, which is illogical for the dependent measure of time, and that the equation predicts a decreasing RT variability as a function of the number of alternatives, when empirically, the opposite has been observed. Longstreth and Alcorn (1987) offered their rebuttal but Longstreth (1988) may have relented when he conceded that the linearity as predicted by the law is true but is bounded by an upper limit of 3 bits.…”
Section: Theoretical Developmentsmentioning
confidence: 95%
“…This is now referred to as Hick's Law (Hellyer, 1963;Hick, 1952;Hyman, 1953). Some exceptions to this law have been noted in specific experimental situations (e.g., Kveraga, Boucher, & Hughes, 2002;Alcorn, 1987 andLongstreth, El-Zahhar, &Alcorn, 1985; but see also Welford, 1987 for a view that disputes the conclusions of Longstreth et al), that have been referred to as ''boundary conditions'' (Wagenmakers & Brown, 2007). Beyond these, the main empirical claim of this law is still widely accepted, and it is of great importance for models of cognitive processing (e.g., McMillen & Holmes, 2006;McClelland, 2001 andUsher, Olami, &McClelland, 2002), research on cognitive ageing (e.g., Allen et al, 2004), or Human-Computer Interaction (see Seow, 2005 for a review).…”
Section: Introductionmentioning
confidence: 93%
“…Welford reported that a linear fit was much closer than a power fit, with amount of variance accounted for equaling 0 .976 and 0 .533 , respectively . Longstreth and Alcorn (1987) discounted this study because of the unique definition of response latency: the time between release of a home button and its subsequent depression, with the choice response sandwiched between these two events . We are aware of two other studies (Siebel, 1962(Siebel, , 1963.…”
Section: Discussionmentioning
confidence: 99%