Statistical Analysis of Circular Data

By Nicholas I. Fisher. 1993

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Citations in the corpus

FastMMD: Ensemble of Circular Discrepancy for Efficient Two-Sample Test (2014, background): “Such distributions are called circular distributions or polar distributions (Fisher, 1993).”
Partial migration in roe deer: migratory and resident tactics are end points of a behavioural gradient determined by ecological factors (2011, methodology): “Diff erences in timing of migrations were compared across study areas and sexes using the Watson-William test (Batschelet 1981), using 5000 bootstrap simulations (Fisher 1993).”
It's all in the timing: Interpersonal synchrony increases affiliation (2009, result): “On average, participants’ consistency between taps and targets (i.e., circular variance [CV] = .49; Fisher, 1993) was above the previously used threshold for visuomotor synchronization success (CV ≈ 0.42; Repp, 2003).”
An improved index of phase-synchronization for electrophysiological data in the presence of volume-conduction, noise and sample-size bias (2011, unknown): “, Fisher (1993)), defined as”
Flexible Cognitive Strategies during Motor Learning (2011, methodology): “To minimize these problems, we used a boostrapping [42] method to estimate peak drift.”
A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation (2010, methodology): “This model has played a central role in directional statistics, as can be seen in such books as those by Fisher (1993), Mardia and Jupp (1999), and Jammalamadaka and SenGupta (2001).”
Powering Up With Space-Time Wind Forecasting (2010, background): “( Fisher 1993, p. 31 ) on a pair of harmonics are plotted against the hour of the day for each”
The continuous ranked probability score for circular variables and its application to mesoscale forecast ensemble verification (2006, methodology): “The von Mises distribution is the most common parametric model for unimodal samples of circular data (Fisher 1993).”
CircStat: AMATLABToolbox for Circular Statistics (2009, methodology): “Despite the fact that circular statistics is still in very active development, several monographs and textbook lay out a standard repertoire of circular statistics methods (e.g., Batschelet 1981; Fisher 1995; Zar 1999; Jammalamadaka and Sengupta 2001).”
New Families of Wrapped Distributions for Modeling Skew Circular Data (2004, background): “…wrapped r.v. Xw ¼ Xðmod 2pÞ ð1:1Þ has the density fwðyÞ ¼ X1 k¼ 1 fðyþ 2kpÞ; y 2 ½0; 2pÞ; ð1:2Þ and the characteristic function (the discrete Fourier transform) fp ¼ EeipXw ¼ fðpÞ; p ¼ 0; 1; 2; . . . ; ð1:3Þ see, e.g., Fisher (1993), Jammalamadaka and SenGupta (2001) and Mardia and Jupp (2000).”
Time Partitioning Favors the Coexistence of Sympatric Crab-Eating Foxes (Cerdocyon thous) and Pampas Foxes (Lycalopex gymnocercus) (2009, methodology): “Because the daily activity patterns of the foxes were not unimodal and did not follow a von Mises distribution (Fisher 1993), we used the Mardia–Watson–Wheeler statistical test (Batschelet 1981) to test the null hypothesis that the distributions compared were identical, that is, that there were no…”
Rotating waves during human sleep spindles organize global patterns of activity that repeat precisely through the night (2016, methodology): “For two phase maps ax;y and bx;y, the circular correlation is defined as above (Fisher, 1993; Berens, 2009)”
Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems (2001, methodology): “4 To analyze the simulation data in terms of the dihedral angles we have to apply statistical methods for circular data [17,18]; see [22] for resulting definition of the covariance matrix.”
Prestimulus oscillations predict visual perception performance between and within subjects (2007, methodology): “Deviation from mean Δ phase was calculated using the circular variance procedure (see Fisher, 1993).”
Habitat use and movements of plains zebra (Equus burchelli) in response to predation danger from lions (2007, methodology): “We used absolute turning angle values, having first determined that turning angles were symmetric around zero using a modified Wilcoxon signed rank test ( Fisher 1993 ).”
Patch density determines movement patterns and foraging efficiency of large herbivores (2007, methodology): “0, Kovach Computing Services, Anglesey, Wales, United Kingdom), based on the methods described by Fisher (1993).”
Effect of landscape structure on the movement behaviour of a specialized goldenrod beetle, Trirhabda borealis (2002, methodology): “A von Mises distribution is unimodal (Batschelet 1981; Fisher 1993), so this indicates that the turning angles in the cut patches were concentrated in the forward direction, which would produce more directed, less tortuous movement than a uniform distribution.”
Independent control of gamma and theta activity by distinct interneuron networks in the olfactory bulb (2014, unknown): “Phaseshifts and baseline phase fluctuations were circularly ranked together 53 and the resulting rank vectors compared against test statistics from randomly generated ranks (1000 sets) to obtain the p values.”