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Then if the data are right-skewed (clustered at lower values) move down the ladder of powers (that is, try square root, cube root, logarithmic, etc. transformations). If the data are left-skewed (clustered at higher values) move up the ladder of powers (cube, square, etc).
Then if the data are right-skewed (clustered at lower values) move down the ladder of powers (that is, try square root, cube root, logarithmic, etc. transformations). If the data are left-skewed (clustered at higher values) move up the ladder of powers (cube, square, etc).
Then if the data are right-skewed (clustered at lower values) move down the ladder of powers (that is, try square root, cube root, logarithmic, etc. transformations). If the data are left-skewed (clustered at higher values) move up the ladder of powers (cube, square, etc).
To reduce right skewness, take roots or logarithms or reciprocals (roots are weakest). This is the commonest problem in practice. To reduce left skewness, take squares or cubes or higher powers.
Skewness refers to distortion or asymmetry in a symmetrical bell curve, or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be skewed. Skewness can be quantified as a representation of the extent to which a given distribution varies from a normal distribution.
When data are skewed left, the mean is smaller than the median. If the data are symmetric, they have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it looks about the same on both sides.
Skewed data is cumbersome and common. It's often desirable to transform skewed data and to convert it into values between 0 and 1. Standard functions used for such conversions include Normalization, the Sigmoid, Log, Cube Root and the Hyperbolic Tangent. It all depends on what one is trying to accomplish.
The log transformation can be used to make highly skewed distributions less skewed. This can be valuable both for making patterns in the data more interpretable and for helping to meet the assumptions of inferential statistics. Figure 1 shows an example of how a log transformation can make patterns more visible.
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