The plots below show the bootstrap distributions of the standard deviation, median absolute deviation ( MAD ) and Qn estimator of scale.
22.
Optimality criteria include maximum likelihood, Bayesian, maximum parsimony, sum of squared residuals, least absolute deviations, and many others.
23.
Other early test statistics include the ratio of the mean absolute deviation to the standard deviation and of the range to the standard deviation.
24.
Keynes published a paper in 1911 based on his earlier thesis wherein he showed that the Laplace distribution minimised the absolute deviation from the median.
25.
The census enumerated population of each district was within 1 % of 931, 349 with an average absolute deviation of 0.449 %.
26.
The census enumerated population of each district was within 1 % of 465, 674 with an average absolute deviation of 0.506 %.
27.
Several are standard statistics that are used elsewhere-mean deviation, coefficient of variation, median absolute deviation, interquartile range and quartile deviation.
28.
The coefficient of dispersion ( CD ) is defined as the ratio of the average absolute deviation from the median to the median of the data.
29.
Least absolute deviations shares the ability to be relatively insensitive to large deviations in outlying observations, although even better methods of robust regression are available.
30.
In fact, the mean absolute deviation from the median is always less than or equal to the mean absolute deviation from any other fixed number.
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