Exact limiting Bahadur efficiencies of linear rank tests for scale are derived using a minor extension of the results of Hoadley. Efficiency curves are derived for the linear rank statistics of Mood, Freund and Ansari, and Capon and Klotz relative to the F test for normal scale alternatives when the null hypothesis is that of common normality.
"Bahadur Efficiency of Linear Rank Statistics for Scale Alternatives." Ann. Statist. 3 (4) 947 - 954, July, 1975. https://doi.org/10.1214/aos/1176343195