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Averaging was performed using the circular statistics of Mardia (1972).
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To get both of these curves we use the circular statistics framework on spike timings, described by Ilin in 2013.
In [17], the calibration results for large-scale parameter statistics are based on the angular parameters, which are generated in Step 4. In this contribution, we provide the calibration results for large scale parameter statistics, using the circular angle spread method, as recommended in [25].
This is routinely recommended when using the circular staplers.
Slice off sidewalls from the plank using the circular saw.
The mean phase angle and vector length were obtained using the Matlab Circular Statistics Toolbox (Berens 2009).
2 To test for intra-individual stability of phase timing from year to year, the Rayleigh test was used (implemented in R in the Circular Statistics package by Ulric Lund and Claudio Agostinelli, 2007; circular: R package version 0.3-8).
The circular statistics toolbox was used to test for significant differences in the phase locking data.
Differences in copulation initiation time between the two possible mating combinations OX3097D-Bol/wild OX3097D-Bol/wild male/wild female) were andlysed using a circular statistics F-test wild the statistical software Oriana for Windows (Kovach Comale/wildervices, Anglesey, UK).
The k value was calculated using Matlab circular statistics tool box (http://philippberens.wordpress.com/code/circstats/).wordpress.com/code/circstats/
Some considerations for future research include examining the strength of the temporal patterns using circular statistics, which takes into consideration the 'circular nature' of the 24-h time periods that are utilized in micro-level place-based research (Brunsdon and Corcoran 2006; Wuschke et al. 2013).
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