A, probability distributions of angle, θ, were modeled to simulate filament sliding data (similar to the data shown in Fig. 2D, shown here as gray circles) and compared with a model in which each angle is equally likely (i.e. the filament movement is completely random, shown as red squares). B, cumulative distributions derived by summation of the probability distributions shown in A. The Kuiper statistic (KS) = d1 + d2 provides a measure of the deviation of a measured distribution (black line) from the idealized, random distribution (red line). C, a representation of the KS values evaluated from modeled distributions with increasing variance (s2) ranging from a δ function (s = 0, KS = 1), and progressively oriented Gaussian distributions (s = 30°, KS = 0.34; s = 80°, KS = 0.08).