Referee's report by Edmund Taylor Whittaker, on a paper 'On the relation between direct and inverse methods in statistics' by Harold Jeffreys Sectional Committee: Mathematics Recommended for publication in the 'Proceedings of the Royal Society of London'. Comes to his opinion with hesitation, as he does not fully understand the paper and doubts the validity of some parts of the author's assumptions. Acceptance of the paper lies with the author being a Fellow of distinction who has devoted much effort to the subject, upon which there is no general agreement. [Published in the 'Proceedings of the Royal Society of London'] Endorsed on verso as received 23 March 1937. [March 1937]