Erasmus School of Economics

Modern Multidimensional Scaling

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laatste wijziging: 7-3-2007

Data sets for Chapter 10

  1. Similarities of colors with circle constraint
  2. Similarities of colors with circle constraint
  3. Ellipses
  4. Intelligence Tests Restriction Matrix
  5. Morse Code Confusions Stimuli Properties
  6. Protest acts restrictions
  7. Protest Acts
  8. Tonal Stimuli

1. Similarities of colors with circle constraint

Description file, Raw data, Excel file, SPSS data file.

Title: Similarities of colors with circle constraint

Source: Ekman (1954) and Borg and Groenen (1997, 2005)

Description: Similarities of colors with wavelengths from 434 to 674
nm. One extra object is introduced to simulate the center. There are
two similarity matrices: one contains the original data with missings
to the center object, the other contains a constant value between all
objects and the center object with the rest of the similarities
missing. The colors are (in nm):

434
445
465
472
490
504
537
555
584
600
610
628
651
674

2. Similarities of colors with circle constraint

Description file, Raw data, Excel file, SPSS data file.

Title: Similarities of colors with circle constraint

Source: Ekman (1954) and Borg and Groenen (1997, 2005)

Description: Similarities of colors with wavelengths from 434 to 674
nm. One extra object is introduced to simulate the center. There are
two similarity matrices: one contains the original data with missings
to the center object, the other contains a constant value between all
objects and the center object with the rest of the similarities
missing. The colors are (in nm):

434
445
465
472
490
504
537
555
584
600
610
628
651
674

3. Ellipses

Description file, Raw data, Excel file, SPSS data file.

Title: Ellipses

Source: Noma and Johnson (1977)

Description: A subject was asked to assess the similarity of 16
ellipses having different shapes and sizes. The ellipses were
constructed according varying eccentricity ("shape") and area
("size"). For example, ellipse 4 is very flat and long, but 13 is more
circular and also larger. The rated each pair of ellipses on a scale
from 1 (most similar) to 10 (least similar or most different). This
rating was replicated three times, with the pairs presented in
different random orders. The data contains the summed ratings for each
pair of ellipses.

Design of the 16 elipses:

Ellipse Shape Size

1 1 1
2 2 1
3 3 1
4 4 1
5 1 2
6 2 2
7 3 2
8 4 2
9 1 3
10 2 3
11 3 3
12 4 3
13 1 4
14 2 4
15 3 4
16 4 4

4. Intelligence Tests Restriction Matrix

Description file, Raw data, Excel file, SPSS data file.

Title: Intelligence Tests Restriction Matrix

Source: Borg and Groenen (2005)

Description: Two data sets below each other. The first one contains
the intercorrelations of eight intelligence tests. The intelligence
tests are coded on the facets language = {N = numerical, G =
geometrical} and requirement = {A = application, I = inference} as
indicated below. The second data set contains the hypothesized
restriction matrix for the intercorrelations of eight intelligence
tests. The proximities for items with the same structuples, such as
p(NA1,NA2) and p(GA1,GA3), all are set to the value 5. The
proximities that correspond to the immediate neighborhood relations
are set to the value 4, since none of these distances should be
larger than any distance between definitionally equivalent items.
Finally, the large distances between the groups NI, GA and the groups
NA, GI are set to 3. The hypothesized data should be treated
ordinally, so that the values 3, 4, and 5 are immaterial and may be
replaced by any numbers that have the same order.

Test Language Requirement
1 N A
2 N A
3 N I
4 G I
5 G I
6 G A
7 G A
8 G A

5. Morse Code Confusions Stimuli Properties

Description file, Raw data, Excel file, SPSS data file.

Title: Morse Code Confusions Stimuli Properties

Source: Rothkopf (1957)

Description:
Two properties of Morse code signals. Each Morse code signal is a
sequence of up to five 'beeps'. The beeps can be short (0.05 sec) or
long (0.15 sec), and, when there are two or more beeps in a signal,
they are separated by periods of silence (0.05 sec). The two external
variables are:

- Signal type:

1 = All short beeps
2 = More short than long beeps
3 = Same short and long beeps
4 = More long than short beeps
5 = All long beeps


- Signal length (in seconds):
1 = .05
2 = .15
3 = .25
4 = .35
5 = .45
6 = .55
7 = .65
8 = .85
9 = .95


The morse codes are:

Letter Code Type Length
A .- 3 2
B -... 2 4
C -.-. 3 5
D -.. 2 3
E . 1 0
F ..-. 2 4
G --. 4 4
H .... 1 3
I .. 1 1
J .--- 4 6
K -.- 4 4
L .-.. 2 4
M -- 5 3
N -. 3 2
O --- 5 5
P .--. 3 5
Q --.- 4 6
R .-. 2 3
S ... 1 2
T - 5 1
U ..- 2 3
V ...- 2 4
W .-- 4 4
X -..- 3 5
Y -.-- 4 6
Z --.. 3 5
1 .---- 4 8
2 ..--- 4 7
3 ...-- 2 6
4 ....- 2 5
5 ..... 1 4
6 -.... 2 5
7 --... 2 6
8 ---.. 4 7
9 ----. 4 8
0 ----- 5 9

6. Protest acts restrictions

Description file, Raw data, Excel file, SPSS data file.

Title: Protest acts restrictions

Source: Levy (1983)

Description: Facet data of thirty stimuli used to describe forms of protest
acts described. The three facets are:

- Facet A: Modality of the attitude towards the protest act
+ 1 = evaluation
+ 2 = approval
+ 3 = likelihood of own overt action

- Facet B: Strength of execution of the protest act
+ 1 = demanding
+ 2 = obstrctive
+ 3 = physically damaging

- Facet C: Way to carry out the protest act
+ 1 = omission
+ 2 = commision


The protest acts (and thus the data) are:


Item Description A B C

1 Petitions 1 1 2
2 Boycotts 1 2 1
3 Lawful demonstrations 1 1 2
4 Refusing to pay rent 1 2 1
5 Wildcat strikes 1 2 1
6 Painting slogans on walls 1 3 2
7 Occupying buildings 1 2 2
8 Blocking traffic 1 2 2
9 Damaging property 1 3 2
10 Personal violence 1 3 2
11 Petitions 2 1 2
12 Boycotts 2 2 1
13 Lawful demonstrations 2 1 2
14 Refusing to pay rent 2 2 1
15 Wildcat strikes 2 2 1
16 Painting slogans on walls 2 3 2
17 Occupying buildings 2 2 2
18 Blocking traffic 2 2 2
19 Damaging property 2 3 2
20 Personal violence 2 3 2
21 Petitions 3 1 2
22 Boycotts 3 2 1
23 Lawful demonstrations 3 1 2
24 Refusing to pay rent 3 2 1
25 Wildcat strikes 3 2 1
26 Painting slogans on walls 3 3 2
27 Occupying buildings 3 2 2
28 Blocking traffic 3 2 2
29 Damaging property 3 3 2
30 Personal violence 3 3 2

7. Protest Acts

Description file, Raw data, Excel file, SPSS data file.

Title: Protest Acts

Source: Levy (1983)

Description: Correlation coefficients for thirty forms of protest
acts described. The data were collected from 2307 West
German respondents in 1974.

Each protest act is classified in three facets:

- Facet A: Modality of the attitude towards the protest act
+ 1 = evaluation
+ 2 = approval
+ 3 = likelihood of own overt action

- Facet B: Strength of execution of the protest act
+ 1 = demanding
+ 2 = obstrctive
+ 3 = physically damaging

- Facet C: Way to carry out the protest act
+ 1 = omission
+ 2 = commision


The protest acts are:


Item Description A B C

1 Petitions 1 1 2
2 Boycotts 1 2 1
3 Lawful demonstrations 1 1 2
4 Refusing to pay rent 1 2 1
5 Wildcat strikes 1 2 1
6 Painting slogans on walls 1 3 2
7 Occupying buildings 1 2 2
8 Blocking traffic 1 2 2
9 Damaging property 1 3 2
10 Personal violence 1 3 2
11 Petitions 2 1 2
12 Boycotts 2 2 1
13 Lawful demonstrations 2 1 2
14 Refusing to pay rent 2 2 1
15 Wildcat strikes 2 2 1
16 Painting slogans on walls 2 3 2
17 Occupying buildings 2 2 2
18 Blocking traffic 2 2 2
19 Damaging property 2 3 2
20 Personal violence 2 3 2
21 Petitions 3 1 2
22 Boycotts 3 2 1
23 Lawful demonstrations 3 1 2
24 Refusing to pay rent 3 2 1
25 Wildcat strikes 3 2 1
26 Painting slogans on walls 3 3 2
27 Occupying buildings 3 2 2
28 Blocking traffic 3 2 2
29 Damaging property 3 3 2
30 Personal violence 3 3 2

8. Tonal Stimuli

Description file, Raw data, Excel file, SPSS data file.

Title: Tonal Stimuli

Source: Levelt, Geer, and Plomp (1966)

Description: Two data sets on tonal stimuli; the first one contains
similarity data, the second one the hypothesized data. The data are similarity
coefficients for tonal stimuli. Each stimulus consisted of two
simultaneously heard tones with a fixed ratio between their
frequencies. Fifteen stimuli were used: the twelve musical intervals
within the octave; and in addition two wider intervals (4:9 and 2:5)
and one narrow interval between minor and major second (11:12). To
control for pitch effects, the mean frequency for each interval was
held constant at 500 Hz.

The items are as follows:

Freq. Ratio No. (=variable name)
15:16 15
11:12 13
8:09 12
5:06 7
4:05 6
3:04 3
5:07 9
1:02 2
5:08 10
3:05 5
4:07 8
8:15 14
1:02 1
4:09 11
2:05 4