| Questions and answers about Statistics: Skewness and kurtosis |

| | As the **kurtosis** statistic departs further from zero, a positive value indicates the possibility of a leptokurtic distribution (that is, too tall) or a negative value indicates the possibility of a platykurtic distribution (that is, too flat, or even concave if the value is large enough). |

| | Yet another alternative would be that the **kurtosis** statistic might fall within the range between - 1.7888 and + 1.7888, in which case, you would have to assume that the **kurtosis** was within the expected range of chance fluctuations in that statistic. |

| | The existence of flat or peaked distributions as indicated by the **kurtosis** statistic is important to you as a language tester insofar as it indicates violations of the assumption of normality that underlies many of the other statistics like correlation coefficients, t-tests, etc. used to study the validity of a test. |

| www.jalt.org /test/bro_1.htm (1683 words) |