Title :
Extreme values from skewed distributions [mathematics education]
Author :
Ratz, Herbert C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
fDate :
11/1/2000 12:00:00 AM
Abstract :
Data from observations that cannot have negative values, such as pollution concentrations, traffic counts, or time intervals, are generally asymmetric with positive skew. If problems are assigned involving confidence limits, or the chances of rare events, with such skewed data, then the use of Gaussian-based statistics can result in substantial error. The magnitude of the error depends upon the mean value of the data expressed in units of the standard deviation. A set of curves is given which provides a method for correcting the Gaussian based tests, or at least for estimating the possible magnitude of the error.
Keywords :
Gaussian distribution; engineering education; statistical analysis; statistics; Gaussian-based statistics; Gaussian-based tests correction; engineering mathematics education; engineers; extreme values; pollution concentrations; positive skew asymmetric data; skewed distributions; standard deviation; time intervals; traffic counts; Blood; Error analysis; Error correction; Gaussian processes; Pollution; Probability distribution; Statistical distributions; Tail; Testing; Traffic control;
Journal_Title :
Education, IEEE Transactions on