What does it mean if the data is positively skewed?
In statistics, a positively skewed (or right-skewed) distribution is a type of distribution in which most values are clustered around the left tail of the distribution while the right tail of the distribution is longer..
What does the skewness value tell us?
Negative values for the skewness indicate data that are skewed left and positive values for the skewness indicate data that are skewed right. By skewed left, we mean that the left tail is long relative to the right tail.
Is positive or negative skewness better?
A positive mean with a positive skew is good, while a negative mean with a positive skew is not good. If a data set has a positive skew, but the mean of the returns is negative, it means that overall performance is negative, but the outlier months are positive.
What does a positive skew look like?
The mean is also to the left of the peak. A right-skewed distribution has a long right tail. Right-skewed distributions are also called positive-skew distributions. That’s because there is a long tail in the positive direction on the number line.
How do you interpret positive skewness?
If skewness is positive, the data are positively skewed or skewed right, meaning that the right tail of the distribution is longer than the left. If skewness is negative, the data are negatively skewed or skewed left, meaning that the left tail is longer. If skewness = 0, the data are perfectly symmetrical.
Why is skewness important?
The primary reason skew is important is that analysis based on normal distributions incorrectly estimates expected returns and risk. Harvey (2000) and Bekaert and Harvey (2002) respectively found that skewness is an important factor of risk in both developed and emerging markets.