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Questions tagged [circular-statistics]

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Directional statistics (also called circular or spherical 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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I'm trying to calculate the mean and the standard deviation of orientation data in R. I have the following two scenarios: orientation label data from 0° to 180°, evenly spaced orientations: ...
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I want to predict an angular parameter ($\phi$) from some signal using a CNN. Due to the architecture of my code, the regression is done on the two targets ($\cos\phi$, $\sin\phi$). I created a model ...
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I want to use a normal distribution to model the density of something around a circle. I want this distribution to be shaped like a bell curve but also to be continuous (and infinitely differentiable) ...
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According to this article by Lee 2010 (paywalled) : https://wires.onlinelibrary.wiley.com/doi/abs/10.1002/wics.98 the standard error on the circular mean is given by : Std Error on circ mean = $\delta/...
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I have 3 uneven groups. Each subject has 5 to 15 observations. My data is circular (0 = 1), and ranges from 0 to 1. I want to compare both the group means, and the dispersion. In a linear model, my ...
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We have a data set for hue, which is a circular variable. However, the data range only over 10 degrees of the possible 360. Can we use a linear mixed model to analyze the data, or do we have to use ...
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I am working on some models in neuroscience that can be conceived as having data distributed on ellipsoids. In these models (e.g. 1, 2) there is some random variable $y \in \mathbb{R}^n$ and a ...
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I want to fit a mixed model to determine a treatment's effect on a circular response variable (the variable is an angle measured in radians). I want to know how treatment changes both the mu (mean) ...
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I completed my Master's degree looking at shorebird migration ecology, specifically looking at their behaviour during southbound migration. One component was looking at the conditions upon departure ...
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I routinely scale non-circular variables using methods you can see here. If I use the same methods with circular data, the cutoff creates issues, such as huge "jumps" in the data depending ...
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I am trying to extract points on a sphere in python. I have to localise event in the sky and produce a map using healpy. During the test session I used the von Mises-Fisher since I assumed that ...
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I am developing a mixed-effects binomial logistic regression (using glmmTMB, family = binomial) where the response is presence-absence. One of my potential predictors is hour of day, which takes ...
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I've got a project I'm working on where I've got the orientation (normal) vectors of planes. These vectors are all within a unit hemisphere where the $z$-coordinate is strictly positive. The ...
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Suppose I have data about patient sneezes, e.g.,: Name Time Loudness Alex 07:59 10 Bob 08:03 12 Charlie 17:06 9 Alex 08:09 13 ... You can see ...
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I'm trying to understant how to interpretresults from the bpnreg package to do glm on a circular response variable (flight directions). I understood from the paper that the interpretation can be done ...
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