Exercise Work out the 7²-statistic for all 26 shifts to see that shift 3 is really the best fit.
Exercise Work out the 7²-statistic for all 26 shifts to see that shift 3 is really the best fit.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:Reconsider the example from po.
IDEA: We can do 26 7²-calculations to see which shift gives the
best goodness of fit with the usual distribution of letters in
an English text.
Observed
frequency
shift O
shift!
shift 2
3
2
2
2
O
4
4
4
8
I
1
3
S
2
O
4
4
2
2
5
5
4
4
2
2
2
2
4
Letter
ADCDEFYIMM XLINOPSISTOVAN
Expected frequency
in a text of 65
Symbols
5.30
0.89
1.44
2.98
8.20
1.21
1.53
4.45
4.53
0.09
0.70
2.84
1.27
S
4.24
4
૧, ૧૦
2
0.91
2
0.12
4
3.26
3.93
4
6.45
3
2.09
2
0.51
8
2
1.62
0
0
0.08
2
3
1.37
2
0.05
(0-5.3)²
(2-0.05)
(3-0.89)
0.89
(2-1.44)²
1.44
5.3
0.05
Work out the ²-statistic for all 26 shifts to see that shift 3
is really the best fit.
x² (shift o)
:
2² (shift 25)
Exercise
=
+
S
2
0
2
5
4
2
2
4
3
2
O
2
+
1
1
3
$
2
0
2
S
4
2
2
4
3
2
3
2
3
shift 3.
2
4
8
Expert Solution
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