View source: R/point_3d_variance.R

point_3d_variance | R Documentation |

Calculates sample variance of points' distances in 3D space from their centroid. This function is normally only used indirectly through 'validate_get_twcv'.

```
point_3d_variance(point_matrix)
```

`point_matrix` |
An n-by-3 numerical matrix where each row corresponds to a single point in 3D space. |

A one-element numeric vector holding calculated variance

The variance here is taken to mean the sum of variances for each dimension/axis:

```
\frac{\sum_{i=1}^n (x_i-x_m)^2 + (y_i-y_m)^2 + (z-z_m)^2}{n-1}
```

Where `X/Y/Z`

represent one axis each, `a_m`

represents the mean
of all points' coordinates on an axis, and `n`

represents the total
number of points.

`centroid_3d_sq_dist`

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