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Figure 8 | EPJ Data Science

Figure 8

From: Lognormal distributions of user post lengths in Internet discussions - a consequence of the Weber-Fechner law?

Figure 8

Linearity of JND and stimulus text lengths L T . Comparisons of the standard deviations σ for L R L T for the represented lengths for each tester, serving as measure of JND, as function of the test text lengths L T . Lines show best-fit values using linear functions corresponding to Weber law. In all individual cases the linear regression provides a good fit, σ=β L T , but the accuracy of the detection, measured by β, varied strongly between the testers. For each tester we present the value of the linear regression coefficient β and the coefficient of determination R 2 . The linear relationship between the standard deviation σ( L R ) and L T (Weber law) is well preserved with the coefficients of determination R 2 higher than 0.9 for eight of the nine subjects and above 0.8 for the remaining one.

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