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Appendix B: Reference Information 629
Statistics Formulas
Statistics FormulasStatistics Formulas
Statistics Formulas
This section contains statistics formulas for the Logistic and SinReg regressions, ANOVA,
2-SampÜTest, and 2-SampTTest.
Logistic
LogisticLogistic
Logistic
The logistic regression algorithm applies nonlinear recursive least-squares techniques to
optimize the following cost function:
which is the sum of the squares of the residual errors,
This technique attempts to estimate the constants
a, b, and c recursively to make J as
small as possible.
where:
x
y
N
=
=
=
the independent variable list
the dependent variable list
the dimension of the lists
J
c
1 ae
bx
i
–
+
------------------------ y
i
–
⎝⎠
⎜⎟
⎛⎞
2
i 1=
N
∑
=