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Data Analysis and Statistics for Geography, Environmental Science, and Engineering
book

Data Analysis and Statistics for Geography, Environmental Science, and Engineering

by Miguel F. Acevedo
December 2012
Beginner content levelBeginner
557 pages
19h 5m
English
CRC Press
Content preview from Data Analysis and Statistics for Geography, Environmental Science, and Engineering
100 Data Analysis and Statistics for Geography, Environmental Science, and Engineering
Because this product is always larger than the expected value of the product, then the ratio is always
less than 1. We can note this also by calculating the correlation coefcient for maximum covariance,
which occurs when X and Y are identical
ρ
σσ σσ
σ
σ
==
==
cov( ,) cov( ,)XY XX
XY XX
X
X
2
2
1 (4.4)
Expanding Equation 4.2, and since the expectation of a constant yields the same constant, we obtain
cov( ,)
()
[][] []
[
XY EXYY X
EXYEYEX
EX
XYXY
XYXY
=−−+
[]
=−
−+
=
µµµµ
µµµµ
YY
EXY
YX XY XY
XY
]
[]
−−+
=−
µµ µµ µµ
µµ
(4.5)
020406080 100
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Index plot
Index
x
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x
Boxplot
Histogram
x
Fr ...
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Publisher Resources

ISBN: 9781439885017