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Updating Formulae and a Pairwise Algorithm for Computing Sample Variances
A general formula is presented for computing the sample variance for a sample of size m + n given the means of 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 environment. We present numerical results and rounding error analyses for several numerical schemes. (Author).
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- http://experiment.worldcat.org/entity/work/data/355527798#Topic/formulas_mathematics
- http://id.loc.gov/authorities/subjects/sh85003487
- http://experiment.worldcat.org/entity/work/data/355527798#Topic/computations
- http://experiment.worldcat.org/entity/work/data/355527798#Topic/analysis_of_variance
- http://experiment.worldcat.org/entity/work/data/355527798#Topic/algorithms
- http://id.worldcat.org/fast/805020
- http://experiment.worldcat.org/entity/work/data/355527798#Topic/numerical_analysis
- http://experiment.worldcat.org/entity/work/data/355527798#Topic/statistics_and_probability
- http://experiment.worldcat.org/entity/work/data/355527798#Topic/computer_applications
http://schema.org/alternateName
- "Updating formulae & a pairwise algorithm for computing sample variances"@en
http://schema.org/contributor
- http://id.loc.gov/authorities/names/n84052634
- http://worldcat.org/entity/person/id/2636014428
- http://experiment.worldcat.org/entity/work/data/355527798#Organization/stanford_univ_calif_dept_of_computer_science
- http://worldcat.org/entity/person/id/2638205555
- http://viaf.org/viaf/152491517
- http://worldcat.org/entity/person/id/2688576302
- http://worldcat.org/entity/person/id/2707704749
- http://worldcat.org/entity/person/id/2632399190
http://schema.org/description
- "A general formula is presented for computing the sample variance for a sample of size m + n given the means of 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 environment. We present numerical results and rounding error analyses for several numerical schemes. (Author)."@en
http://schema.org/name
- "Updating Formulae and a Pairwise Algorithm for Computing Sample Variances"
- "Updating Formulae and a Pairwise Algorithm for Computing Sample Variances"@en
- "Updating formulae and a pairwise algorithm for computing sample variances"@en
- "Updating formulae and a pairwise algorithm for computing sample variances"