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An accurate updating formula to calculate sample variance from weighted successive differences

Author

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  • Sun, Tien-Lung
  • Lo, Kuo-Hung
  • Chen, Juei-Chao

Abstract

We proposed and proved a new variance updating formula that is based on successive differences. Performance evaluation using StRD and other testing datasets shows that our formula is advantageous in handling integer data and floating point data with larger stiffness.

Suggested Citation

  • Sun, Tien-Lung & Lo, Kuo-Hung & Chen, Juei-Chao, 2016. "An accurate updating formula to calculate sample variance from weighted successive differences," Statistics & Probability Letters, Elsevier, vol. 114(C), pages 14-19.
    • Handle: RePEc:eee:stapro:v:114:y:2016:i:c:p:14-19
    DOI: 10.1016/j.spl.2016.03.003
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    References listed on IDEAS

    as
    1. Almiron, Marcelo G. & Lopes, Bruno & Oliveira, Alyson L. C. & Medeiros, Antonio C. & Frery, Alejandro C., 2010. "On the Numerical Accuracy of Spreadsheets," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 34(i04).
    2. Simon, Stephen D. & Lesage, James P., 1989. "Assessing the accuracy of ANOVA calculations in statistical software," Computational Statistics & Data Analysis, Elsevier, vol. 8(3), pages 325-332, November.
    3. Simon, Stephen D. & Lesage, James P., 1988. "Benchmarking numerical accuracy of statistical algorithms," Computational Statistics & Data Analysis, Elsevier, vol. 7(2), pages 197-209, December.
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    Keywords

    Successive difference; Variance updating;

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