In the first letter dated 25 Jun 1938, Thomson thanks Ledermann for his corrections. He discusses unimodality and bimodality, vectors, and the distributions of loadings, referring to the work of Thurstone and Woodrow, as well as Ledermann's own method for finding the distribution of loadings. He also asks Ledermann if he has heard anything about his Home Office application.

In the second later, dated 1 Jul 1938, Thomson asks Ledermann which part of the summer he is to have off, and discusses his analytical expression of the difference between profile correlations and partial correlations for mean score, referring to the work of Kelley and Thurstone. He also refers to profile correlations, stating that he doesn't quite understand them yet, but doesn't think Burt does either.