Sir Francis Galton (1822~1911)

Sir Francis Galton was a British polymath whose pioneering work in statistics, heredity, and human variation fundamentally shaped modern biology and social science. As a cousin of Charles Darwin, Galton applied quantitative rigor to the study of evolution and human traits, leaving behind a legacy that includes the invention of fingerprint identification and the statistical concept of regression.

From Anthropometry to Regression

Galton's pursuit of understanding heredity led him to establish an anthropometric laboratory in London in 1884, where he collected vast amounts of data on physical traits such as height and bone length. Through his analysis of height data, he observed the phenomenon of "regression to the mean": extremely tall parents tend to have children who are shorter than themselves, while extremely short parents tend to have children who are taller.

To quantify this relationship, Galton developed the concept of the coefficient of correlation. This foundational work was later expanded upon by Karl Pearson, evolving into the robust statistical method now universally known as regression analysis.

Pioneering Statistical Theory

Beyond regression, Galton's contributions were profound:

• Branching Processes: His 1874 collaboration with Reverend H.W. Watson on the extinction of family names is recognized as the origin of the statistical theory of branching processes.

• Normal Distributions: He identified that a linear combination of normally distributed random variables remains normally distributed—a discovery cited by historian S.M. Stigler as one of the most significant breakthroughs in late 19th-century statistical development.

A Patron of Science: The Birth of Biometrika

Galton's commitment to the field was not merely intellectual but also institutional. In 1901, he used the Biometrika Trust to fund the creation of the journal Biometrika, edited by Karl Pearson and W.F.R. Weldon. Galton's generous support ensured the journal set the gold standard for scientific publishing, featuring high-quality paper, intricate illustrations, and a commitment to displaying the most complex mathematical formulas of the time.