He was born in
Minneapolis, Minnesota. He was on the faculty of
Columbia University from 1946 until moving to
Stanford University in 1967, becoming emeritus professor in 1988. He served as editor of
Annals of Mathematical Statistics from 1950 to 1952. He was elected president of the
Institute of Mathematical Statistics in 1962. Anderson's 1958 textbook,
An Introduction to Multivariate Analysis, educated a generation of theorists and applied statisticians; Anderson's book emphasizes
hypothesis testing via
likelihood ratio tests and the properties of
power functions:
Admissibility,
unbiasedness and
monotonicity. Anderson is also known for
Anderson–Darling test of whether there is evidence that a given sample of data did not arise from a given probability distribution. He also framed the
Anderson–Bahadur algorithm along with
Raghu Raj Bahadur, which is used in statistics and engineering for solving binary classification problems when the underlying data have
multivariate normal distributions with different
covariance matrices. ==Awards and honors==