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Date: 24-4-2021
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Date: 8-3-2021
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The upper and lower hinges are descriptive statistics of a set of data values, where
is of the form
with
, 1, 2, .... The hinges are obtained by ordering the data in increasing order
, ...,
, and writing them out in the shape of a "w" as illustrated above. The values at the bottom legs are called the hinges
and
(and the central peak is the statistical median). In this ordering,
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(1) |
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(2) |
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(3) |
For of the form
, the hinges
and
are identical to the quartiles
and
. The difference
is called the H-spread.
REFERENCES:
Tukey, J. W. Exploratory Data Analysis. Reading, MA: Addison-Wesley, pp. 32-34, 1977.
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