A Unified Weight Formula for Calculating the Sample Variance from Weighted Successive Differences
Joint Authors
Lo, Kuo-Hung
Sun, Tien-Lung
Chen, Juei-Chao
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-27
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
The basic formula to calculate sample variance is based on the sum of squared differences from mean.
From computational perspective, mean calculation is nondesired as it can introduce computing errors.
Previous researches have proposed to use weighted formula of the successive differences to calculate sample variance to avoid mean calculation.
But their weighted formula is not in a unified format in the sense that it has to be represented as two formulas.
This paper proposes a unified weight formula for sample variance calculation from weighted successive differences.
A proof is provided to show that sample variance calculated using the proposed unified weighted formula is mathematically equivalent to the basic definition.
American Psychological Association (APA)
Lo, Kuo-Hung& Sun, Tien-Lung& Chen, Juei-Chao. 2014. A Unified Weight Formula for Calculating the Sample Variance from Weighted Successive Differences. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1017906
Modern Language Association (MLA)
Lo, Kuo-Hung…[et al.]. A Unified Weight Formula for Calculating the Sample Variance from Weighted Successive Differences. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1017906
American Medical Association (AMA)
Lo, Kuo-Hung& Sun, Tien-Lung& Chen, Juei-Chao. A Unified Weight Formula for Calculating the Sample Variance from Weighted Successive Differences. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1017906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1017906