Significance testing of a decrease in the R factor. The jacknife and Hamilton's R-factor ratio test applied to a case of a false minimum in crystallography

The jackknife statistic and Hamilton's R-factor ratio test can both be applied to test the significance of a decrease in the R factor, and give similar results. In Hamilton's test, the form in which the hypothesis is cast may obscure the correct dimension of the hypothesis. This problem does not arise for the jackknife test.