Operation Manual

Appendix B: Reference Information 379
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.
SinReg
The sine 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 recursively estimate the constants a, b, c, and d to make J as small as
possible.
ANOVA(
The ANOVA Ü statistic is:
Ü =
The mean squares (MS) that make up Ü are:
The sum of squares (SS) that make up the mean squares are:
where:
x
y
N
=
=
=
the independent variable list
the dependent variable list
the dimension of the lists
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

=
Jasin bx
i
c+dy
i
–+
2
i 1=
N

=
FactorMS
ErrorMS
--------------------------
FactorMS
FactorSS
Factordf
------------------------
=
ErrorMS
ErrorSS
Errordf
---------------------
=
FactorSS n
i
x
i
x–
2
i 1=
I

=
ErrorSS n
i
1–Sx
i
2
i 1=
I

=