; 7b._PAIRED_COMPARISON
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# 7b._PAIRED_COMPARISON

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• pg 1
Instructions
1)          List the options you will compare. Assign a letter to each option.
2)          Mark the options as row and column headings on the worksheet.
3)          Note that the cells on the table where you will be comparing an option with itself have been blocked out - there will n
4)          The cells on the table where you will be duplicating a comparison are also blocked out.
f have been blocked out - there will never be a difference in these cells!
Attributes
Code       Description
A
B
C
D
E
F
G
H

0 No difference
3 Significant difference
You should have one table for each participants
To calculate the score:
Participant 1                                                  Identify all the pairwise comparisons in which an attribute
Paired comparison worksheet                                    Sum up the differences in importance assigned by respon

Attribute   A            B           C       D      E          SCORE
A                        A,2         C,1     A,1    E,2                  7   A
B                                    C,1     B,1    B,1                  2   B
C                                            C,2    C,3                 16   C
D                                                   E,2                  3   D
E                                                                        7   E

Attribute   Total      Normalise
A                    7       0.2
B                    2 0.057143
C                   16 0.457143
D                    3 0.085714
E                    7       0.2
35         1

Participant 2
Paired comparison worksheet

Attribute   A            B           C       D       E         SCORE
A                        A,2         C,1     A,1     E,1                 3   A
B                                    C,1     B,1     E,2                 1   B
C                                                  0 E,1                 2   C
D                                                    E,3                 0   D
E                                                                        7   E

Attribute   Total        Normalise
A                    3    0.230769
B                    1    0.076923
C                    2    0.153846
D                    0           0
E                    7    0.538462
13           1

Participant 3
Paired comparison worksheet

Attribute   A            B           C       D      E          SCORE
A                        A,1               0 D,3    E,2                  1   A
B                                    C,1     D,2    E,1                  0   B
C                                            C,1    E,1                  2   C
D                                                          0             5   D
E                                                                        4   E
Attribute   Total        Normalise
A                    1    0.083333
B                    0           0
C                    2    0.166667
D                    5    0.416667
E                    4    0.333333
12           1
e comparisons in which an attribute is valued more important
s in importance assigned by respondents
Variation of weights
0.6

0.5
Final weights

0.4

0.3

0.2

0.1

0
1                     2
Participants

0.60

0.50

0.40
Weights

0.30

0.20

0.10

0.00
1       2                         3
Attributes

Aggregate weight

0.4
0.4

0.35

0.3

0.25

0.2

0.15

0.1

0.05

0
A   B   C   D
A
B
C
D
E

3

BOX & WHISKERS GRAPH
The central box includes the distributio of opinion betwee
and the 75th percentile (i.e. 50% of the central distribution
The two whiskers (plus and minus) include the whole
range (min-max) of weights' distribution.
In the cells below, average values are reported.

4       5
Average
Weighted average

E
e distributio of opinion between the 25th
. 50% of the central distribution of opinion)
d minus) include the whole
' distribution.
values are reported.
Individuals
1          2          3       75
A                                0.2   0.230769   0.083333         0.22
B                          0.057143    0.076923          0         0.07
C                          0.457143    0.153846   0.166667         0.31
D                          0.085714           0   0.416667         0.25
E                                0.2   0.538462   0.333333         0.44

Weighted sums

Attribute                              RANK
A                          0.178526           2
B                          0.047802           1
C                             0.3087          3
D                          0.147024           3
E                          0.317949           3

Participants' importance
Participant                        1          2          3
Importance                       0.5       0.25       0.25   1
max      min      25       s.d.        Average    Weighted average
0.23     0.08     0.14    0.063504   0.171368            0.178526
0.08     0.00     0.03    0.032615   0.044689            0.047802
0.46     0.15     0.16    0.140051   0.259219            0.308700
0.42     0.00     0.04    0.179656    0.16746            0.147024
0.54     0.20     0.27    0.139209   0.357265            0.317949

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