BIB-VERSION:: CS-TR-v2.0 ID:: STAN//CS-TR-79-773 ENTRY:: June 19, 1995 ORGANIZATION:: Stanford University, Department of Computer Science TITLE:: Updating formulae and a pairwise algorithm for computing sample variances TYPE:: Technical Report AUTHOR:: Chan, Tony F. AUTHOR:: Golub, Gene H. AUTHOR:: LeVeque, Randall J. DATE:: November 1979 PAGES:: 22 ABSTRACT:: A general formula is presented for computing the simple variance for a sample of size m + n given the means and variances for two subsamples of sizes m and n. This formula is used in the construction of a pairwise algorithm for computing the variance. Other applications are discussed as well, including the use of updating formulae in a parallel computing environnment. We present numerical results and rounding error analyses for several numerical schemes. NOTES:: [Adminitrivia V1/Prg/19950619] END:: STAN//CS-TR-79-773