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coefficient of correlation r and correlation ratio η are
used. Coefficient of correlation is used for evaluation of
rectilinear connection, correlation ratio is used for evaluation of
curvilinear connection.
Coefficient of correlation is determined by the formula:
n n n
n х і у і х і у і
r i 1 i 1 i 1 , (4.28)
n n 2 n n 2
n х 2 x n y 2 y
і i і i
i 1 i 1 i 1 i 1
where n — number of measurements, x, y — measured
values.
When r = ±1, functional linear dependence between
correlated values exists. The closer absolute value of r to zero,
the weaker is connection. When r = 0, connection is absent. If
the value of r is positive, then between variables exists direct
dependence, if it is negative, then reversed dependence does
[1].
For significant deviation of studied dependence from
linear one, coefficient of correlation loses its meaning as an
assessment of connection level. While the extent of connection
is standard deviation to the total standard deviation σ y ratio:
y
y (4.29)
y ,
2
z y y
x
x (4.30)
y
n ,
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