Jack was an international leader in mathematical statistics and undoubtedly the foremost worker in optimal experimental design. Of the more than 100 items in his bibliography, more than 45 were on optimal design. He was also a recognized authority on mycology, having written several papers on classification.

Kiefer received many honors. He was a Fellow of the American Statistical Association and the American Association for the Advancement of Science and a former president (1969– 1970) and Fellow of the Institute of Mathematical Statistics, as well as a Wald lecturer. He was a Fellow of the American Academy of Arts and Sciences (1972) and elected to the National Academy of Sciences (USA) in 1975. He held a Guggenheim fellowship at Stanford from 1962–1963 and was visiting professor at Oxford University (1958–1959) and at Berkeley (1975). In 1980, Jack was one of two professors to initiate the Berkeley-Beijing exchange program. In addition to statistical societies and the American Mathematical Society, he was a member of the Mycological Society of America, the North American Mycological Association, and the American Civil Liberties Union.

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