Corrigendum: Perceived Impact as the Underpinning Mechanism of the End-Spurt and U-Shape Pacing Patterns

In the original article, there was an error. In equations (1) and (2), the nominator should have been “1.” In addition, the text should have clearly indicated this fact.

A correction has been made to the Formulation of the Perceived Impact Mechanism section, paragraph one:

“To illustrate, perceived impact of a step in goal-pursuit can be stated formally by a simple function. For example, let a step in goal-progress be equal to one, s be a series of numbers in an increasing order, representing the index of each step (e.g., s = 1, 2, 3, 4, 5, 6, 7), and PI_si a number between 0 to 100, representing the percent of perceived impact of the current step s_i (e.g., PI_si = 50%; representing the impact of the current step out of the maximum possible impact a step can have on goal-progress). Accordingly, min(s) and max(s) are the smallest and highest values in s, which represent the starting- and ending-points, respectively. According to the small area principle, people use the nearest reference point, and tend to switch between the beginning and ending points in the middle of the task. Therefore, if $s_i<\frac{max(s)}{2}$, then:

$$\begin{array}{r}P{I}_{s_i}=\frac{1}{min(s)+s_i}\end{array}$$ (1)

Else:

$$\begin{array}{r}P{I}_{s_i}=\frac{1}{\text{max }(s)-s_i}\end{array}$$ (2)

The author apologizes for this error and state that this does not change the scientific conclusions of the article in any way. The original article has been updated.