What is the acceptable range of skewness and kurtosis for normal distribution?

What is the acceptable range of skewness and kurtosis for normal distribution?

Both curves result in an asymmetrical normal curve. Both skew and kurtosis can be analyzed through descriptive statistics. Acceptable values of skewness fall between − 3 and + 3, and kurtosis is appropriate from a range of − 10 to + 10 when utilizing SEM (Brown, 2006).

What should skewness be for normal distribution?

The skewness for a normal distribution is zero, and any symmetric data should have a skewness near zero. Negative values for the skewness indicate data that are skewed left and positive values for the skewness indicate data that are skewed right.

Why is kurtosis compared to a normal distribution?

The normal distribution has a kurtosis of three, which indicates the distribution has neither fat nor thin tails. Therefore, if an observed distribution has a kurtosis greater than three, the distribution is said to have heavy tails when compared to the normal distribution.

What range of kurtosis is considered normal distribution?

The normal distribution is said to be mesokurtic with a kurtosis of 3. That is the standard. A distribution with a kurtosis of more than 3 is said to be leptokurtic and one that has a kurtosis of less than 3 is said to be platykurtic. Following on from Ette’s answer, there are two definitions of kurtosis.

What does positive skewness signify in normal distribution?

The skewness for a normal distribution is zero, and any symmetric data should have a skewness near zero. 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.

How do you calculate kurtosis?

Click on Analyze -> Descriptive Statistics -> Descriptives

  • Drag and drop the variable for which you wish to calculate skewness and kurtosis into the box on the right
  • and select Skewness and Kurtosis
  • and then OK
  • Result will appear in the SPSS output viewer