Mantel: Transformations

For a contagious disease we expect the small space and time distances to be correlated, but not the large distances. Once you have performed a Mantel analysis, you can look at the correlation in the distances using the Plot.

To correct for pattern expected in contagious disease, Mantel recommended transforming the space-time distances to reduce the effect of large ones.

You can transform the space-time distances by adding a constant (the shift) to all of the distances, and or raising the distance to a power. You can also take the log of the distance.

mantel_transform.gif

Here shift is the constant and d is the distance to be transformed. Mantel specifically recommended the reciprocal transformation 1/(d + constant) for transforming contagious diseases (power = -1). If you specify a transformation, ClusterSeer will report the transformation you specified in the Session log using D to represent spatial distance and T to represent temporal distance.

The selection of a transformation and constant can be subjective, and the default settings in ClusterSeer are not to use them (shift = 0 and power = 1). The time distances and the temporal distances can each be transformed separately.

See Also