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Standard Deviation for Small Samples
Author(s) -
Joarder Anwar H.,
Latif Raja M.
Publication year - 2006
Publication title -
teaching statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.425
H-Index - 13
eISSN - 1467-9639
pISSN - 0141-982X
DOI - 10.1111/j.1467-9639.2006.00238.x
Subject(s) - calculator , statistics , variance (accounting) , mathematical proof , mathematics , sample (material) , sample size determination , analysis of variance , upper and lower bounds , test (biology) , regression analysis , regression , econometrics , computer science , economics , mathematical analysis , paleontology , chemistry , geometry , accounting , chromatography , biology , operating system
Summary Neater representations for variance are given for small sample sizes, especially for 3 and 4. With these representations, variance can be calculated without a calculator if sample sizes are small and observations are integers, and an upper bound for the standard deviation is immediate. Accessible proofs of lower and upper bounds are presented for a broad spectrum of readers.