Information Technology Reference
In-Depth Information
Table 11.6
Application of Pf(i) for sequence example in Table
11.5
Index
Calculation
Result
10
12
+
3.[((10 - 10) [mod3
+
mod 4])],
12
+
3.[0.mod 3
+
0.mod4]
12
11
12
+
3.[((11 - 10)[mod3
+
mod4])],
18
12
+
3.[1.mod3
+
1.mod4],
12
+
3.[1
+
1]
12
12
+
3.[((12 - 10)[mod3
+
mod4])],
24
12
+
3.[2.mod3
+
2.mod4],
12
+
3.[2
+
2]
13
12
+
3.[((13-10)[mod3
+
mod4])],
12
+
3.[3.mod3
+
3.mod4],
12
+
3.[0
+
3]
21
Table 11.7
Periodic function at second level of differentiation
Differential
(depth)
(exponent)
Sequence
Variance
0
612213143587492113135159
2668.85
1
691012151618212224
36.23
2
312312312
0.75
3
-211-211-211
2.41
3-
>
coefficient is required since all numbers must be divisible by 3. This
will generate the correct values from POS
min
So far the PERIODIC concept is at the surface but it could occur at the first or
second levels of differentiation. This is determined by selecting the row with the
minimum variance. For example Table
11.7
:
In Table
11.7
we see that the minimum variance is at level 2.
It is also possible to extend the periodic sequence to (say) the third differential of
the series but no examples in IQ tests were ever found that conformed to that level
of complexity.
K
=
11.4.3
POLY
This function fits a polynomial function to a given sequence. The general formula
for such a function is:
ax
n
bx
n
−
1
cx
n
−
2
dx
2
ex
1
=
+
+
+
+
+
+
F(x)
... ..
f
The process for fitting this polynomial function to a sequence is normally called
regression analysis.
