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Aug 6th, 2022
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How to Transformation Number Log For Free

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The reason for log transforming your data is not to deal with skewness or to get closer to a normal distribution; thats rarely what we care about. Validity, additivity, and linearity are typically much more important.
For example, the mean of the log-transformed observations (log yi), ^ L T = ( 1 / n ) * i = 1 n log y i is often used to estimate the population mean of the original data by applying the anti-log (i.e., exponential) function to obtain exp( ^ L T ).
The log transformation is often used to reduce skewness of a measurement variable. If, after transformation, the distribution is symmetric, then the Welch t-test might be used to compare groups. If, also, the distribution becomes close to normal, then a reference interval might be determined.
The log transformation is, arguably, the most popular among the different types of transformations used to transform skewed data to approximately conform to normality. If the original data follows a log-normal distribution or approximately so, then the log-transformed data follows a normal or near normal distribution.
What is Log Transformation? Log transformation is a data transformation method in which it replaces each variable x with a log(x). The choice of the logarithm base is usually left up to the analyst and it would depend on the purposes of statistical modeling.
The log transformation is, arguably, the most popular among the different types of transformations used to transform skewed data to approximately conform to normality. If the original data follows a log-normal distribution or approximately so, then the log-transformed data follows a normal or near normal distribution.
When our original continuous data do not follow the bell curve, we can log transform this data to make it as normal as possible so that the statistical analysis results from this data become more valid . In other words, the log transformation reduces or removes the skewness of our original data.
The Why: Logarithmic transformation is a convenient means of transforming a highly skewed variable into a more normalized dataset. When modeling variables with non-linear relationships, the chances of producing errors may also be skewed negatively.
Unfortunately, data arising from many studies do not approximate the log-normal distribution so applying this transformation does not reduce the skewness of the distribution. In fact, in some cases applying the transformation can make the distribution more skewed than the original data.
What is Log Transformation? Log transformation is a data transformation method in which it replaces each variable x with a log(x). The choice of the logarithm base is usually left up to the analyst and it would depend on the purposes of statistical modeling.

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