He was elected a Fellow of the Royal Society of Edinburgh on 15 March 1858, and a Foreign Member of the Royal Society on 24 May 1860.
He was elected a Fellow of the Royal Society of Edinburgh and in 1900 a Fellow of the Royal Society.
He was elected a Fellow of the Royal Society of Edinburgh in 1985 and in November 2002 he was appointed a Knight of the Order of the Thistle.
He was elected a Fellow of the Royal Society of Edinburgh in 1931, and edited Biometrika from 1937.
He was elected a Fellow of the Royal Society of Edinburgh in March 2008.
He was elected a fellow of the Royal Society of Edinburgh in 1984.
He was elected a fellow of the Royal Society of Edinburgh in 2000 and holds honorary degrees from the University of Glasgow, University of Edinburgh and the University of Strathclyde.
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