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# Questions tagged [circular-statistics]

Directional statistics is the discipline of statistics that deals with directions (unit vectors in $\mathbb{R}^n$), axes (lines through the origin in $\mathbb{R}^n$) or rotations in $\mathbb{R}^n$.

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### interpretation of Rayleigh test results

I have a group of bearings that appear to be clustered toward the SW. I wanted to compare this to a uniform distribution, so I selected a Rayleigh test. Here is my code in R: ...
16 views

### non-parametric circular statistics

I am working on a research question of color preference (which can be represented in a circular space). I have divided the circular space into 16 equally spaced bins and done a pairwise comparison ...
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### Harmonic vs circular regression

Is there a difference between harmonic and circular regression? I've been working with more longitudinal data recently and trying to model circadian patterns that involve transforming the time ...
153 views

### Loss function (and encoding?) for angles

I'm training a network to predict the angle of arrival of a signal. Labels are single values in the [-180, 180) interval. I'm seeing a discontinuity in predictions around ±180 degrees, which makes ...
16 views

### How can I determine differences between two circular distributions?

I have circular datasets. I am using this MATLAB package to perform tests on my data. https://au.mathworks.com/matlabcentral/fileexchange/10676-circular-statistics-toolbox-directional-statistics . I ...
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### The Sine and Cosine transformations for circular predictor variables [duplicate]

I have read the answer to how one can deal with circular predictor variables suggested by NicK Cox. It suggests using the sine and cosine as a solution. I am I supposed to either use one of them or ...
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### Variables measured on two different scales

I am dealing with three continuous predictor variables (corolla tube width, corolla tubedepth, corolla inclination) and a discontinuous response variable (counts of bee visits). I am confused on how ...
30 views

### Is there two-sample test for wrapped normal circular data?

I have two sets of randomly generated data with the wrapped normal circular distribution. I would like to test for homogeneity of means between these two samples. I was considering using Watson-...
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### In circular statistics, is the difference between the means of two samples equivalent to the mean of their differences?

I'm comparing wind direction distributions using Python's scipy.stats.circmean and scipy.stats.circstd, and I encountered some ...
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### How to generate a data sample along a annulus (between fixed radii)? [duplicate]

I would like to create a random data sample to test a clustering algorithm using python. One specific data sample I would like to generate consists of two non-overlapping annuluses (annuli?); however, ...
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### Phase marginal for a multivariate complex Gaussian density

Suppose $z$ is a random variable taking values in $\mathbb{C}^n$ and admitting the complex Gaussian density $p(z;W) \propto \exp{(-\frac{1}{2}z^*Wz)}$, where $W$ is Hermitian. Let $r$ be the vector of ...
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### Extracting the linear equation for a circular-circular regression

I am trying to create a predictive model using a relationship found by the lm.circular function from the circular package. The ...
13 views

### Error in lm.circlular.cl

I have a dataframe where I have information on the departure bearing when individuals are leaving a certain site, the departure date, and the distance they travelled. I'm interested in modelling the ...
107 views

### Help with circular-circular regression

I am looking for assistance in using the lm.circular function of the circular package. I am unsure of A) why the package authors ...
59 views

### Limitations to using the principle of least squares to fit an ellipse to experimental data?

I have used the method described below many times without issue to determine the major and minor axes of the "data ellipse". However, for this set of data (Fig. A) the method described below is ...
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### Is there a MANOVA test on circular variables?

I have a population 4 individuals moving in different directions in 9 different compartments. The movement is not coherent between the different compartments, but I suspect that it is coherent between ...