Two fold tests for palaeomagnetism have recently been proposed that re
ly on the assumption that the total population of magnetic vectors is
most highly concentrated with the rocks in the orientation they had at
the time of acquisition of the magnetization. This leads to appealing
, simple tests based on parameter estimation. However, it is shown tha
t the underlying assumption is flawed and can lead to incorrect conclu
sions. McFadden & Jones (1981) previously developed an inference test
based on the concept that the between-group dispersion of magnetizatio
n should be consistent with the within-group dispersion when the rocks
are in the orientation they had at the time of magnetic acquisition.
That test made unrealistic demands upon the sampling scheme for typica
l, realistic folding geometries and so it has been under-utilized. The
McFadden & Jones test is extended by recognizing that it is sufficien
t to use groups with similar bedding corrections and that it is not ne
cessary to insist on groups with common bedding corrections. These gro
ups may easily be determined with a clustering algorithm. The point is
that with the rocks in the orientation at which the magnetization was
acquired, it should be immaterial how the groups are chosen.