Linearized estimates, as functions of the ranks, are proposed for the general linear hypothesis. These estimates can be computed after a single ranking of the "centered" observations. The asymptotic distribution of the estimates is shown to be the same as the maximum likelihood estimates for fairly general sequences of design matrices.
"Linearized Rank Estimates and Signed-Rank Estimates for the General Linear Hypothesis." Ann. Math. Statist. 43 (1) 42 - 57, February, 1972. https://doi.org/10.1214/aoms/1177692699