# Questions tagged [circular-statistics]

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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### Radial axis transformation in polar kernel density estimate

Consider a kernel density estimate of a continuous, non-negative random variable defined over the unit circle with no discontinuity between 360 and 0 degrees. Unlike in the most common KDE ...
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### Measuring dispersion in circular data

stats noob here. I have a (circular) dataset with values in [0, 2pi]. I need some kind of a measure of how disperse or diverse the dataset is. I have looked a bit into non circular (regular) data, and ...
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### Calculate uncertainty of surface normal based on points uncertainty

How to calculate angular variation of fitted plane from points that has positional uncertainty with normal probability distribution? For example, I have 4 points P1 = 102.0000 84.0000 139.5443 P2 = ...
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### Normality test for circular data

I have some angles and I am wondering how can I test whether the distribution of my data is normal or not. In fact, I want something similar to KS test. Howver, I want to use it for circular data to ...
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### What would be a good objective function for a computer vision model that predicts rotation?

Let's say I have to correct images of scenes which can be rotated in the range $[0, 2\pi)$. For my particular application I already know a CNN makes sense. I'd use this to detect the orientation, then ...
428 views

### Coefficient of variation of circular data

The definition of coefficient of variation is as follows: coefficient of variation= standard deviation/mean. I am using circular (directional) statistics to find the mean and standard deviation. My ...
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1 vote
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### Interpreting multiple circular-circular regression output

I'm new to circular stats and have been playing with circglmbayes and bpnreg. I'm not sure how to interpret the output. I have consulted the CrossValidated database, and the papers/tutorials ...
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1 vote
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### Is the difference between directional means from two populations significant? (circular data)

I am comparing the orientation of two data sets with geographical lines and have used the processing tool "Linear Directional Mean" (ArcGIS Pro, Spatial Analyst) to calculate the mean of ...
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1 vote
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### Circular statistics polar coordinates data in R

I am very much new to dealing with this type of data (polar coordinates!) and it would be great if someone could help me out. My data come from an experiment in which I had 66 different pairs of ...
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