Cubic reciprocity: Difference between revisions

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The '''Smearing retransformation''' is used in [[regression analysis]], after estimating the [[logarithm]] of a variable. Estimating the logarithm of a variable instead of the variable itself is a common technique to more closely approximate [[Normal_distribution|normality]]. In order to retransform the variable back to level from log, the Smearing retransformation is used.
 
If the log-transformed variable y is estimated as:
 
<math> \log(y) = f(X) + \mathrm{er} </math>
 
then, the level variable is given by:
 
<math> y = \exp(f(X))\exp(\mathrm{er}). </math>
 
[[Category:Regression analysis]]
{{statistics-stub}}

Revision as of 00:04, 22 January 2014

The Smearing retransformation is used in regression analysis, after estimating the logarithm of a variable. Estimating the logarithm of a variable instead of the variable itself is a common technique to more closely approximate normality. In order to retransform the variable back to level from log, the Smearing retransformation is used.

If the log-transformed variable y is estimated as:

then, the level variable is given by:

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