TY - JOUR A2 - Wu, Chin-Chia AU - Lo, Kuo-Hung AU - Sun, Tien-Lung AU - Chen, Juei-Chao PY - 2014 DA - 2014/08/27 TI - A Unified Weight Formula for Calculating the Sample Variance from Weighted Successive Differences SP - 210761 VL - 2014 AB - 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. SN - 1026-0226 UR - https://doi.org/10.1155/2014/210761 DO - 10.1155/2014/210761 JF - Discrete Dynamics in Nature and Society PB - Hindawi Publishing Corporation KW - ER -