thesIt » residual error http://lakm.us/thesit computer science research log in semi microbloging style Tue, 24 Aug 2010 21:34:55 +0000 http://wordpress.org/?v=2.9 en hourly 1 If we assume a normally distributed popu … http://lakm.us/thesit/315/if-we-assume-a-normally-distributed-popu/ http://lakm.us/thesit/315/if-we-assume-a-normally-distributed-popu/#comments Sun, 22 Aug 2010 12:19:08 +0000 Arif http://xp-racy.lan/s2/?p=315 If we assume a normally distributed population with mean μ and standard deviation σ, and take sample

x_{1}, x_{2},..., x_{n}\sim N(\mu,\sigma^{2})

statistical error is then
\varepsilon_{i}=x_{i}-\mu

Residual

while residual is
\hat{\varepsilon}_{i}=x_{i}-\bar{x}

hat over the letter ε indicates an observable estimate of an unobservable quantity called ε.

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