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A
CROSS-CULTURAL SHORTENED FORM OF THE ZKPQ (ZKPQ-50-CC) ADAPTED TO
ENGLISH, FRENCH, GERMAN, AND SPANISH LANGUAGES
Anton Aluja1,
Jérôme Rossier2, Luis F. García1, Alois
Angleitner3, Michael Kuhlman4,and
Marvin Zuckerman4
1University
of Lleida (Spain)
2University
of Lausanne (Switzerland)
3University
of Bielefeld (Germany)
4University
of Delaware (United States) |
| |
INTRODUCTION
The Zuckerman-Kuhlman
Personality Questionnaire (ZKPQ) was designed within the framework of
Zuckerman's Alternative Five personality model (Zuckerman, Kuhlman, Teta,
Joireman, & Kraft, 1993). This model was developed by comparing structures
based on 3, 4, 5, and 6 factor solutions of several personality
questionnaires (Zuckerman, Kuhlman, & Camac, 1988; Zuckerman, Kuhlman,
Thornquist & Kiers, 1991). These two studies of scale factors were
followed by one based upon factor analyses of items from the scales most
clearly defining the factors (Zuckerman et al., 1993). From these studies,
Zuckerman et al. (1993) concluded that both the three and five-factor
models were robust and reliable. Based on these results, a questionnaire
was developed using the items most clearly defining the five factors,
excluding items showing a strong social desirability influence. The
99-item version contained the following scales: Impulsive Sensation
Seeking (ImpSS, 19 items), Neuroticism-Anxiety (N-Anx, 19 items),
Aggression-Hostility (Agg-Host, 17 items), Activity (Act, 17 items),
Sociability (Sy, 17 items), and Infrequency (Inf, 10 items). The Inf scale
is only used to assess the validity of individual records and is not
intended to be a trait scale. Internal consistency for both sexes varied
between 0.72 and 0.86 (for more detail on the development of the ZKPQ and
its reliability and validity, see Joireman & Kuhlman, 2004, and Zuckerman,
2002).
The raw scores of the ZKPQ,
the EPQ (Eysenck, & Eysenck, 1975), and the NEO-PI-R (Costa, & McCrae,
1992) scales were factor analyzed conjointly (Zuckerman et al., 1993).
Solutions of three, four, and five factors were obtained. In the three
factor rotation, the Sy and Act scales loaded on the Extraversion factor
with the EPQ-E, and the NEO-E, and the N-Anx loaded on a Neuroticism
factor along with the EPQ-N and the NEO-N scales. ImpSS, Agg-Host, the
Psychoticism Scale of the EPQ-R, and the Agreeableness and
Conscientiousness Scales of the NEO-PI-R loaded mainly on the third
factor. This factor was split into two in the four-factor structure.
Conscientiousness, Psychoticism, and Impulsive Sensation Seeking defined
one factor, whereas Agreeableness, Aggression-Hostility, and Openness
loaded mainly on the other one. Finally, in the five-factor structure, the
30 facets of the NEO-PI-R were used instead of the Big-Five dimension
scales. These results corroborated the previous 4-factor structure plus an
additional factor exclusively formed by the 6 Openness facets. These
results have been replicated in Spanish populations (Aluja, García, &
García, 2002; 2004a; Romero, Luengo, Gómez, & Sobral, 2002).
The original version of
the ZKPQ has been adapted in different countries and languages: China (Wu,
Wang, Du, Li, Jiang, & Wang, 2000), Germany (Ostendorf, & Angleitner,
1994), Italy (De Pascalis, & Russo, 2003), Japan (Shiomi, Kuhlman,
Zuckerman, Joreiman, Sato, & Yata, 1996), and Spain (Catalan [Gomà-i-Freixanet,
Valero, Puntí & Zuckerman, 2004; Gomà-i-Freixenet, Wismeijer, & Valero,
2005], and Spanish versions [Aluja et al., 2002, 2004a; Herrero, Viña,
González, Ibáñez, & Peñate, 2001; Romero et al., 2002]). In general, the
factor structure and the psychometric properties have replicated results
found for the original English version. Two German versions of the ZKPQ
have been developed and both confirm the basic structure of the test as
described in the American results (Angleitner, Riemann, & Spinath, 2004;
Schmitz, 2004). Angleitner et al. (2004) also reported the first behavior
genetic twin study on the ZKPQ scales. Schmitz (2004) has used the ZKPQ in
acculturation studies of immigrants to Germany and studies of the
relationships between the ZKPQ dimensions and love styles.
As far as we know, two
short versions of the ZKPQ have been developed. The first one (Zuckerman,
2002) is made up of 35 items, with seven items per scale. Items with the
highest correlations with the total scores on each of the five factors and
the greater response variance were selected. Several items were eliminated
because of redundancy of content, and the next highest correlation was
substituted. These short scales had Cronbach alphas between 0.62 and 0.79.
The second one (Aluja, García, & García, 2003a) is composed of 69 items
selected through the following procedure, which combines exploratory and
confirmatory factor analysis (Byrne, 1993; Yadama, & Drake, 1995): (1)
items with loadings equal to or higher than 0.30 on their own factor were
selected; (2) a confirmatory factor analysis was carried out over these
selected items. One item from each pair of highly correlated items (i.e.
with a modification index of the correlations between the error terms of
the items higher than 100) was suppressed; (3) a second factor analysis
was conducted using the 76 surviving items. Following the same criteria in
point 1, 69 items were retained for the short version. These 69 items were
distributed across scales as follows: ImpSS (14), N-Anx (18), Agg-Host
(13), Sy (13), and Act (11). Internal consistencies were similar to the
89-item version, and varied between 0.74 and 0.81.
The 69-item version was
developed following an empirical criterion with no pre-conceived idea as
to the number of items. The resulting scales presented a number of items
per scale between 11 (Activity) and 18 (N-Anx) (Aluja et al., 2003a).
However, the number of items retained in the 69-item version and the
statistical procedure described above made it possible to further reduce
the number of items per scale. This approach generated a shorter version
maintaining the same psychometric properties, including reliability
coefficients, of the ZKPQ as well as the structural validity of the
questionnaire. Two instances support this possibility. Firstly, the
Activity scale improved its psychometric properties in the short version,
although six items were suppressed (Aluja, et al., 2003a). Secondly, the
10-item Extroversion and Neuroticism scales of the EPQ-R presented good
psychometric and structural properties (Aluja, García, & García, 2003b).
According to these findings, we hypothesised that ZKPQ scales formed by 8
to12 items will only have similar psychometric properties to the original
questionnaire. The availability of these short scales has obvious
advantages in practical and research settings, since the administration
and correction time are considerably reduced (Buchanan, Johnson, Goldberg,
2005).
The aim of the present
study was to develop a version of the ZKPQ with a robust structure and
acceptable psychometric properties in four languages: English (United
States), French (Switzerland), German (Germany), and Spanish (Spain). In
developing this version, a procedure similar to that used by Aluja et al.
(2003a) was carried out combining exploratory and confirmatory factor
analysis. Note that cross-cultural studies are usually focused on
differences between cultures. However, this study looks for structural
similarities in the four languages analysed.
The present study is
focused on an etic (versus emic) research approach. The etic perspective
looks for universal traits and is centered on comparison across cultures.
The emic perspective seeks to describe personalities with culturally
sensitive elements (Triandis, & Such, 2002). The results of the current
study pose several questions for personality assessment beyond the
cross-cultural validity of the ZKPQ. Developing
the same measure for different countries has the advantage of establishing
the same metric for all countries analyzed. This characteristic would
largely facilitate cross-cultural research with Zuckerman’s Alternative
Five Personality Model. |
| |
METHOD
Subjects
The total sample consisted
of 4,621 subjects (1,667 males [36.1%], and 2,954 females [63.9%]) from 4
countries. Inclusion in the study was restricted to subjects under 35
years of age in order to reduce the age differences between samples. The
numbers of subjects in the four countries were 517 from Germany (Mean age:
26.94; SD: 4.31), 962 from Spain (Mean age: 21.39; SD 2.97), 764 from the
French-speaking part of Switzerland (Mean age: 21.68; SD 3.05), and 2,378
from the United States of America (the age variable was not coded for this
sample). Since all subjects in the American sample were university
students enrolled in introductory psychology courses, the mean age is
known to be around 19 years. Frequencies for sex were 117 males and 400
females for Germany, 351 and 611 for Spain, 294 and 470 for Switzerland,
and 905 and 1,473 for USA. The samples from Spain, Switzerland, and the
United States of America were university students. The German sample was a
pool of two sub samples: one of university students, and one taken from
the Bielefeld twin study.
Measures
ZKPQ.
The long form of the ZKPQ has 99 items, and measures the following
personality factors: Impulsive Sensation Seeking (ImpSS),
Neuroticism-Anxiety (N-Anx), Aggression-Hostility (Agg-Host), Activity
(Act), and Sociability (Sy). Reliability coefficients (Cronbach alpha) for
the ZKPQ ranged between .72 and .83 in the original American study
(Zuckerman et al., 1992; Zuckerman et al., 1993). The German and Spanish
versions of the ZKPQ have been published by Ostendorf, and Angleitner
(1994), and Aluja, et al., (2002), respectively. The French version is
under revision (Rossier, Verardi, Massoudi, & Aluja, submitted).
These three non-English versions show a factor structure and reliability
indices similar to those for the American ZKPQ. The Infrequency scale was
not used in the statistical analyses of these studies.
RESULTS
Descriptive statistics,
t-tests comparisons and alpha coefficients for the ZKPQ
Table 1
shows descriptive statistics (Mean, standard deviation, Skewness, and
Kurtosis), alpha coefficients and differences between calibration and
validation samples. Table 1 shows no significant mean differences between
the groups, nor were differences found in their standard deviations. Given
the large sample size and thus high statistical power for these
comparisons, it is quite unlikely that these non-significant results
correspond to a Type-II error. Skewness and Kurtosis values were under 1
for the five dimensions. Alphas ranged between 0.74 and 0.86, and were
quite similar in both groups. Additionally, descriptive statistics for
the Infrequency scale indicate that the test validity was adequate. This
table suggests that both samples can be properly compared.
Table 1
Descriptive statistics (Mean, Standard Deviation, Skewness, and Kurtosis),
alpha coefficients, t-tests and
effect
size between calibration and validation sample.
|
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|
Calibration sample (N=2,322) |
Validation sample (N=2,299) |
|
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|
Items |
M |
SD |
S |
K |
a |
M |
SD |
a |
S |
K |
t |
p< |
ES |
|
N-Anx |
19 |
8.83 |
4.78 |
0.18 |
-0.88 |
0.85 |
8.79 |
4.78 |
0.86 |
0.18 |
-0.88 |
0.28 |
0.781 |
0.01 |
|
ImpSS |
19 |
9.62 |
4.19 |
-0.06 |
-0.63 |
0.80 |
9.71 |
4.34 |
0.80 |
-0.09 |
-0.77 |
-0.71 |
0.477 |
-0.02 |
|
Act |
17 |
7.63 |
3.70 |
-0.35 |
-0.48 |
0.76 |
7.77 |
3.62 |
0.77 |
-0.36 |
-0.48 |
-1.35 |
0.477 |
-0.04 |
|
Sy |
17 |
9.48 |
3.76 |
0.20 |
-0.74 |
0.76 |
9.56 |
3.73 |
0.74 |
0.12 |
-0.67 |
-0.71 |
0.177 |
-0.02 |
|
Agg-Host |
17 |
7.80 |
3.53 |
0.10 |
-0.59 |
0.74 |
7.69 |
3.58 |
0.75 |
0.12 |
-0.62 |
1.05 |
0.292 |
0.03 |
|
Inf |
10 |
1.39 |
1.49 |
1.54 |
3.62 |
0.55 |
1.46 |
1.51 |
0.53 |
1.25 |
1.74 |
-1.65 |
0.100 |
-0.05 |
(a) Note:
Neuroticism-Anxiety (N-Anx), Impulsive-Sensation Seeking (ImpSS), Activity
(Act), Sociability (Sy), Aggression-Hostility (Agg-Host), and Infrequency
(Inf). ES: Effect size
|
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Exploratory
Factor Analysis (EFA)
Table 2 shows the
five factor principal components (PC) solution with orthogonal (Varimax)
rotation obtained in the calibration sample. The Kaiser-Meyer-Olkin (KMO)
measure of sampling adequacy was 0.87, and Bartlett's Test of Sphericity
(BTS) yielded approx. Chi-Square=44,523.30; d.f.: 3,972 (p<0.001).
The KMO measure of sampling adequacy is an index which examines the
appropriateness of factor analysis. It should be 0.50, and the higher the
better. This measure of sampling adequacy compares magnitude of
correlations with the magnitude of partial correlation coefficients. Small
values indicate that correlations cannot be explained by other variables,
and factor analysis may be inappropriate. Additionally, a principal axis
(PA) with direct oblimin rotation solution was obtained in the calibration
sample. Tucker’s Congruency coefficients between the latter and the
principal components solution were 0.99, 0.99, 0.99, .099, 0.98, for N-Anx,
ImpSS, Act, Sy, and Agg-Host, respectively; overall, global congruence was
0.99. Given the virtual equality of both solutions, the PC-Varimax
solution was selected since this procedure was the one used in original
work on ZKPQ structure (Zuckerman, et al., 1993). Also, it should be noted
that an orthogonal solution is more consistent with Zuckerman’s
theoretical conceptualization of his five factor model. As can be seen in
Table 2, a total of 80 items (ImpSS: 20; N-Anx: 19; Act: 15; Sy: 12 and
Agg-Host: 14) had loadings equal to or higher than 0.30 on their own
factor, and lower on the remaining factors. These 80 items were employed
for the CFA’s described below. Items deleted from further analysis at this
stage are underlined in Table 2.
Table 2
Principal Components factorial matrix and
Varimax rotation (calibration sample)
|
|
|
|
I |
II |
III |
IV |
V |
|
Z1 |
|
ImpSS |
.06 |
.39 |
-.20 |
.14 |
-.01 |
|
Z2 |
|
N-Anx |
-.45 |
.12 |
-.05 |
.08 |
-.04 |
|
Z3 |
|
Agg-Host |
.07 |
.16 |
-.06 |
.04 |
.29 |
|
Z5 |
|
Act |
.02 |
-.12 |
.51 |
.10 |
-.02 |
|
Z6 |
|
ImpSS |
.03 |
-.40 |
.16 |
-.05 |
-.05 |
|
Z7 |
|
N-Anx |
.51 |
.06 |
-.23 |
.08 |
-.13 |
|
Z8 |
|
Agg-Host |
.16 |
.12 |
-.01 |
-.05 |
.49 |
|
Z9 |
|
Sy |
-.17 |
.23 |
.18 |
-.38 |
.16 |
|
Z11 |
|
Agg-Host |
.06 |
.12 |
-.13 |
-.11 |
.43 |
|
Z12 |
|
Sy |
.02 |
.11 |
.06 |
.46 |
.01 |
|
Z13 |
|
Act |
-.03 |
.11 |
.41 |
-.04 |
.07 |
|
Z14 |
|
ImpSS |
.05 |
.52 |
.07 |
.01 |
.14 |
|
Z15 |
|
N-Anx |
.45 |
.21 |
.05 |
.02 |
.11 |
|
Z16 |
|
Agg-Host |
-.02 |
-.12 |
.06 |
.12 |
-.27 |
|
Z17 |
|
Sy |
-.05 |
.18 |
-.01 |
.53 |
-.01 |
|
Z18 |
|
Act |
-.14 |
-.01 |
.39 |
.22 |
-.09 |
|
Z19 |
|
ImpSS |
-.06 |
.33 |
-.19 |
.13 |
-.02 |
|
Z20 |
|
N-Anx |
.33 |
-.05 |
.00 |
-.07 |
.17 |
|
Z21 |
|
Agg-Host |
-.16 |
-.12 |
.07 |
.05 |
-.42 |
|
Z22 |
|
Sy |
-.03 |
.14 |
.05 |
-.50 |
-.01 |
|
Z23 |
|
Act |
.29 |
.07 |
-.31 |
.11 |
.03 |
|
Z24 |
|
ImpSS |
-.10 |
.47 |
.10 |
-.13 |
.00 |
|
Z25 |
|
N-Anx |
.52 |
.02 |
.01 |
.09 |
.10 |
|
Z27 |
|
Sy |
-.08 |
.22 |
.15 |
-.18 |
.20 |
|
Z28 |
|
Act |
-.20 |
.15 |
.41 |
.05 |
-.03 |
|
Z29 |
|
ImpSS |
.01 |
-.42 |
.27 |
-.10 |
-.02 |
|
Z30 |
|
N-Anx |
.58 |
.00 |
-.02 |
.05 |
.18 |
|
Z31 |
|
Agg-Host |
-.04 |
.13 |
.09 |
-.02 |
-.35 |
|
Z33 |
|
Act |
.07 |
.07 |
.64 |
-.17 |
-.03 |
|
Z34 |
|
ImpSS |
-.01 |
.46 |
-.02 |
.02 |
-.04 |
|
Z35 |
|
N-Anx |
.59 |
-.09 |
-.01 |
.03 |
.05 |
|
Z36 |
|
Agg-Host |
.15 |
.06 |
.05 |
.00 |
.24 |
|
Z37 |
|
Sy |
-.09 |
-.16 |
-.04 |
.44 |
.01 |
|
Z38 |
|
Act |
-.05 |
.06 |
-.47 |
.10 |
.01 |
|
Z39 |
|
ImpSS |
-.14 |
.57 |
.13 |
-.08 |
.02 |
|
Z41 |
|
N-Anx |
.49 |
-.17 |
-.05 |
-.04 |
-.01 |
|
Z42 |
|
Agg-Host |
-.20 |
.06 |
.13 |
-.05 |
.48 |
|
Z43 |
|
Sy |
.28 |
-.17 |
-.09 |
.47 |
-.09 |
|
Z44 |
|
Act |
-.09 |
.03 |
-.63 |
.13 |
.01 |
|
Z45 |
|
ImpSS |
.04 |
.48 |
-.02 |
-.15 |
.09 |
|
Z46 |
|
N-Anx |
.55 |
-.03 |
-.05 |
-.02 |
.08 |
|
Z47 |
|
Agg-Host |
-.21 |
.00 |
.11 |
-.04 |
.45 |
|
Z48 |
|
Sy |
-.14 |
.29 |
.15 |
-.51 |
.10 |
|
Z49 |
|
Act |
.02 |
.14 |
-.19 |
-.08 |
.04 |
|
Z50 |
|
ImpSS |
.22 |
.34 |
-.05 |
.03 |
.07 |
|
Z51 |
|
N-Anx |
.56 |
.05 |
-.11 |
.08 |
-.11 |
|
Z53 |
|
Sy |
-.01 |
.38 |
-.09 |
-.25 |
.14 |
|
Z54 |
|
Act |
.23 |
.04 |
.37 |
-.01 |
.11 |
|
Z55 |
|
ImpSS |
-.03 |
.52 |
.00 |
-.11 |
.07 |
|
Z56 |
|
N-Anx |
.42 |
.02 |
-.03 |
-.01 |
.07 |
|
Z57 |
|
Agg-Host |
-.04 |
-.15 |
.16 |
.16 |
-.40 |
|
Z58 |
|
Sy |
.04 |
.01 |
-.03 |
-.13 |
-.01 |
|
Z59 |
|
Act |
-.14 |
.14 |
.37 |
-.04 |
-.07 |
|
Z60 |
|
ImpSS |
.01 |
.39 |
.19 |
-.05 |
.03 |
|
Z61 |
|
N-Anx |
.62 |
.01 |
-.23 |
.06 |
-.06 |
|
Z62 |
|
Agg-Host |
-.03 |
.21 |
.05 |
-.07 |
-.36 |
|
Z63 |
|
Sy |
.01 |
.18 |
-.02 |
.53 |
.01 |
|
Z64 |
|
Act |
-.05 |
.13 |
.38 |
.06 |
.04 |
|
Z65 |
|
ImpSS |
-.04 |
.43 |
.19 |
-.03 |
.03 |
|
Z66 |
|
N-Anx |
.55 |
-.08 |
.10 |
-.06 |
.06 |
|
Z67 |
|
Agg-Host |
.11 |
.11 |
.09 |
.02 |
.45 |
|
Z68 |
|
Sy |
.12 |
.01 |
.01 |
.58 |
.04 |
|
Z70 |
|
ImpSS |
-.02 |
.48 |
.06 |
-.20 |
.15 |
|
Z71 |
|
N-Anx |
.50 |
.07 |
-.13 |
-.09 |
-.05 |
|
Z72 |
|
Agg-Host |
.14 |
.10 |
.10 |
.05 |
.53 |
|
Z74 |
|
Act |
-.04 |
-.02 |
.56 |
.01 |
-.11 |
|
Z75 |
|
ImpSS |
-.14 |
.32 |
.20 |
.26 |
-.03 |
|
Z76 |
|
N-Anx |
.47 |
-.01 |
.02 |
.10 |
.10 |
|
Z77 |
|
Agg-Host |
.00 |
.04 |
.01 |
.07 |
.56 |
|
Z78 |
|
Sy |
-.17 |
.20 |
.18 |
-.53 |
.04 |
|
Z79 |
|
ImpSS |
.02 |
.46 |
-.01 |
-.09 |
.07 |
|
Z80 |
|
N-Anx |
.55 |
-.02 |
.00 |
.00 |
.07 |
|
Z82 |
|
Sy |
.24 |
.10 |
.12 |
-.29 |
.05 |
|
Z83 |
|
Act |
.12 |
.09 |
.68 |
-.15 |
-.05 |
|
Z84 |
|
ImpSS |
.10 |
.46 |
.14 |
-.02 |
.07 |
|
Z85 |
|
N-Anx |
-.48 |
.12 |
.04 |
.01 |
-.12 |
|
Z86 |
|
Agg-Host |
-.02 |
.03 |
.08 |
.01 |
-.52 |
|
Z87 |
|
Sy |
-.01 |
-.04 |
.10 |
.63 |
.03 |
|
Z88 |
|
Act |
.13 |
.01 |
-.32 |
-.08 |
-.01 |
|
Z89 |
|
ImpSS |
.05 |
.44 |
.12 |
-.03 |
.23 |
|
Z90 |
|
N-Anx |
.59 |
.06 |
.06 |
.16 |
.06 |
|
Z91 |
|
Agg-Host |
.14 |
.14 |
.05 |
.10 |
.44 |
|
Z92 |
|
Sy |
.06 |
.30 |
-.02 |
-.36 |
.09 |
|
Z94 |
|
Act |
-.16 |
.02 |
.46 |
-.12 |
-.06 |
|
Z95 |
|
ImpSS |
-.12 |
.38 |
.07 |
-.33 |
.14 |
|
Z96 |
|
N-Anx |
.46 |
.06 |
-.03 |
-.01 |
-.01 |
|
Z97 |
|
Agg-Host |
.07 |
.05 |
-.06 |
-.09 |
.49 |
|
Z98 |
|
Sy |
-.07 |
.24 |
.12 |
-.26 |
.08 |
|
Z99 |
|
Act |
.28 |
.06 |
.28 |
.01 |
.19 |
|
% variance |
7.53 |
6.93 |
4.45 |
3.63 |
3.15 |
Note:
F-I: N-Anx; F-II:ImpSS; F:-III: Act; F-IV: Sy; F-V: Agg-Host.
|
| |
Confirmatory Factor Analysis (CFA)
A CFA was performed in the
validation sample on the variance-covariance matrix of the 80 items
described above. This analysis employed the AMOS 4.01 statistical package
(Arbuckle, 1999). The estimation method was Maximum Likelihood, which
seems warranted given the size of the sample and the apparent normality of
the variables (see Table 1). Model identification was achieved by fixing
regression coefficients of the error terms over the endogenous variables
and also the variance of factors to 1 (MacCallum, Browne, & Sugawara,
1996). Each item was linked to a single factor. Note that only item 53
loaded on a different factor (ImpSS instead of Sy). Table 4 shows the fit
indices for both orthogonal and oblique solutions for these 80 items. The
AMOS procedure was used to examine the correlation of the error component
between the 80 items. This analysis showed that several item pairs were
highly to moderately correlated, with Modification Indices (MIs) higher
than 100. The following 25 item pairs with MIs higher than 100 are
ordered by the MIs from the largest to smallest (inter-item correlations
are in brackets and the item number corresponds to the long form of the
ZKPQ): 17-63 (0.66), 57-11 (-0.57), 14-89 (0.59), 1-29 (-0.45), 42-47
(0.43), 19-29 (-0.42), 7-61 (0.51), 9.48 (0.47), 18-28 (0.34), 6-29
(0.36), 6-1 (-0.34), 2-66 (-0.43), 68-87 (0.48), 1-19 (0.34), 51-61
(0.49), 43-48 (-0.43), 45-55 (0.43), 24-55 (0.44), 7-61 (0.43), 9-78
(0.40), 6-19 (-0.31), 2-85 (0.40), 67-91 (0.36), 18-75 (0.21), and 25-76
(0.39).
Examination of these items
revealed within-pair redundancy, and as recommended elsewhere (Byrne,
1993; Yadama, & Drake, 1995), one item was deleted from each pair. Within
all but two of the above pairs, the item with the lowest loading was
deleted. Following this procedure, all ZKPQ scales were composed of 10 or
more items, excepting Sy. Two item pairs on this scale (43-48 and 68-87)
were strongly correlated, but no item was deleted in order to test all of
them through the standardized regression weights. A CFA model was
performed on the 57 items remaining after the deletions described above.
Again, analysis was performed with the AMOS 4.01 statistical package with
Maximum Likelihood estimation. Based on the standardized regression
weights, those items with the lowest values were removed until 10 items
per scale remained. Note that all weights were significant. No item from
the Sy scale was removed, because the standardized regression weights of
this scale were acceptable (ranging between 0.33 and 0.61) and similar to
those obtained in the remaining four scales (see Table 3). With these
modifications, the questionnaire was reduced to 50 items (10 per scale).
These items appear in the appendix, henceforth referred to as the
Zuckerman-Kuhlman Personality Questionnaire Cross Cultural 50-item version
(ZKPQ-50-CC).
The results of a CFA (Amos,
Maximum Likelihood) performed on these 50 items are given in Table 4.
Firstly, the differences in the RMSEA were significant between the 80 and
the 50 item models. The ECVI, an index to discern among several related
models, was considerably lower for the 50-item than for the 80-item model,
and the only model with a
c2/d.f.
ratio lower than 5 was the oblique 50-item
model. Also, the GFI, AGFI, improved greatly from 80 to 50 items. However,
for both 50 and 80-item analyses, the NFI, TLI, and CFI fell below the
usual cut-off value (0.90; Hu, & Bentler, 1999). Differences between
orthogonal and oblique models are minimal. This finding is not surprising,
since there were no secondary loadings on the EFA solution. Correlations
between the latent variables for oblique models were (50/80-item model):
ImpSS/N-Anx: -0.11/-0.04; ImpSS/Agg-Host: 0.31/0.34, ImpSS/Act: 0.19/0.14,
ImpSS/Sy: -0.40/-0.36, N-Anx/Agg-Host: 0.28/0.24, N-Anx/Act: -0.05/-0.08,
N-Anx/Sy: 0.17/0.19, Agg-Host/Act: 0.04/0.03, Agg-Host/Sy: -0.08/-0.09 and
Act-Sy: -0.18/-0.19.
Table 3
Standardized Regression
Weights (SRW) for the five dimensions (validation sample)
|
N-Anx |
ImpSS |
Sy |
Agg-Host |
Act |
|
Item |
SRW |
Item |
SRW |
Item |
SRW |
Item |
SRW |
Item |
SRW |
|
25 |
0.50 |
14 |
0.44 |
12 |
0.40 |
8 |
0.47 |
5 |
0.48 |
|
30 |
0.61 |
34 |
0.43 |
22 |
-0.46 |
11 |
0.42 |
13 |
0.33 |
|
35 |
0.58 |
39 |
0.57 |
37 |
0.33 |
21 |
-0.40 |
33 |
0.72 |
|
41 |
0.51 |
55 |
0.56 |
43 |
0.50 |
31 |
-0.28 |
38 |
-0.40 |
|
46 |
0.55 |
60 |
0.43 |
48 |
-0.49 |
42 |
0.34 |
44 |
-0.69 |
|
61 |
0.54 |
65 |
0.41 |
63 |
0.38 |
67 |
0.44 |
59 |
0.32 |
|
66 |
0.50 |
70 |
0.55 |
68 |
0.56 |
72 |
0.49 |
64 |
0.28 |
|
80 |
0.58 |
79 |
0.45 |
78 |
-0.49 |
77 |
0.49 |
74 |
0.44 |
|
85 |
-0.50 |
84 |
0.44 |
87 |
0.61 |
86 |
-0.44 |
83 |
0.78 |
|
90 |
0.52 |
95 |
0.42 |
92 |
-0.35 |
97 |
0.50 |
94 |
0.30 |
Note:
Neuroticism-Anxiety (N-Anx), Impulsive-Sensation Seeking (ImpSS),
Activity (Act),
Sociability (Sy), Aggression-Hostility (Agg-Host).
Table 4
Fit indices of the ZKPQ
80-item, and the ZKPQ 50-item models (validation sample)
|
|
Model
(a) |
c2 |
d.f. |
c2/d.f(b) |
GFI |
AGFI |
NFI |
TLI |
CFI |
RMSEA |
LO |
HI |
ECVI |
|
Orth |
Null model 80 |
42594.57 |
3160 |
13.48 |
0.48 |
0.47 |
-- |
-- |
-- |
0.074 |
0.073 |
0.074 |
18.16 |
|
Null model 50 |
21545.270 |
1225 |
17.59 |
0.58 |
0.56 |
-- |
-- |
-- |
0.085 |
0.084 |
0.086 |
9.42 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ZKPQ-80 |
18645.14 |
3080 |
6.03 |
0.78 |
0.77 |
0.56 |
0.60 |
0.60 |
0.047 |
0.046 |
0.048 |
8.25 |
|
ZKPQ-50 |
6323.87 |
1175 |
5.30 |
0.89 |
0.88 |
0.71 |
0.74 |
0.75 |
0.043 |
0.042 |
0.044 |
2.79 |
|
|
Obli |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ZKPQ-80 |
18079.87 |
3070 |
5.89 |
0.79 |
0.78 |
0.58 |
0.61 |
0.62 |
0.046 |
0.045 |
0.047 |
8.19 |
|
ZKPQ-50 |
5664.66 |
1165 |
4.86 |
0.90 |
0.89 |
0.74 |
0.77 |
0.78 |
0.040 |
0.040 |
0.042 |
2.56 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
(a)
c2:
Chi-Square. d.f.: Degrees of Freedom. GFI: Goodness of Fit
Index. AGFI: Adjusted Goodness of Fit Index. NFI: Normed Fit Index. TLI:
Tucker Lewis Index. CFI: Comparative Fit Index. RMSEA: Root Mean Square
Error of Approximation.
The LO and HI columns contain the lower and upper limit of a 90%
confidence interval on the population value of RMSEA.
ECVI: Expected Cross-Validation Index.
(b)
The associated p values were always lower
than .0001.
|
| |
Using the same CFA procedure
described above, five models were evaluated, one for each of the separate
factors of the ZKPQ-50-CC. This procedure analyses the construct validity
of each scale when the effect of the others is removed. The resulting fit
indices are given in Table 5, which shows very good values for N-Anx,
ImpSS, Acty, and Agg-Host, although slightly lower ones for Sy. With
regard to Sy, it should be noted that this scale has two pairs of highly
correlated items. Overall, these results show good consistency for four
out of five factors in the 50-item model. The standardized regression
coefficients obtained with the 50-item model also support the use of the
five scales, although future studies could improve the Sy scale by
replacing one item of each redundant pair with new items that correlate
with the theoretical construct of Sy but are less redundant in relation to
other items in the scale. Correlations in the total sample between the
scores obtained with the original ZKPQ (89-items) and the ZKPQ-50-CC were
0.90, 0.87, 0.94, 0.95, and 0.92 for the N-Anx, ImpSS, Sy, Agg-Host, and
Act scales, respectively. Thus, the scores obtained with the 50-item
instrument are quite comparable to those obtained with the longer version.
The correlations between ZKPQ factor-derived scales for the 50-item
version were: ImpSS/N-Anx: 0.05; ImpSS/Agg-Host: 0.19, ImpSS/Act: 0.14,
ImpSS/Sy: 0.20, N-Anx/Agg-Host: 0.18, N-Anx/Act: -0.09, N-Anx/Sy -0.09,
Agg-Host/Act: -0.01, Agg-Host/Sy: 0.08 and Act-Sy: 0.14. Congruent with
Zuckerman's orthogonal model, correlations are quite low.
Table 5
Fit
indexes of each dimension in the ZKPQ 50-item version (validation sample).
|
Model (a) |
c2 |
d.f. |
c2/d.f(b) |
GFI |
AGFI |
NFI |
TLI |
CFI |
RMSEA |
ECVI |
|
N-Anx |
265.99 |
35 |
7.60 |
0.98 |
0.96 |
0.94 |
0.95 |
0.95 |
0.05 |
0.13 |
|
ImpSS |
257.09 |
35 |
7.35 |
0.98 |
0.96 |
0.91 |
0.90 |
0.92 |
0.05 |
0.13 |
|
Act |
427.23 |
35 |
12.20 |
0.96 |
0.94 |
0.90 |
0.88 |
0.90 |
0.07 |
0.24 |
|
Sy |
703.96 |
35 |
20.11 |
0.93 |
0.89 |
0.78 |
0.73 |
0.79 |
0.09 |
0.32 |
|
Agg-Host |
194.76 |
35 |
5.56 |
0.98 |
0.97 |
0.91 |
0.90 |
0.93 |
0.04 |
0.10 |
(a)
c2
: Chi Square.
d.f.: Degrees of Freedom. GFI: Goodness of Fit Index. AGFI:
Adjusted Goodness of Fit Index. NFI: Normed Fit Index. TLI: Tucker Lewis
Index. CFI: Comparative Fit Index. RMSEA: Root Mean Square Error of
Approximation. ECVI: Expected Cross-Validation Index.
(b) The associated p
values were always lower than .0001.
|
| |
Cross-cultural comparisons of the ZKPQ-50-CC
Table 6 shows the descriptive
statistics (Mean, Standard deviation, Skewness, and Kurtosis), and alphas
of the ZKPQ-50-CC for each country. All scales have satisfactory alpha
coefficients above .70 in each country, except for the Agg-Host scale in
Germany, Spain and Switzerland, and the Sy scale in Germany. However,
these latter alpha coefficients were only slightly lower (.60-.68). Scores
show a normal distribution. Only the N-Anx scale in the American, German
and Swiss samples and the Act scale in Spain show a slightly high
kurtosis. Table 6 also shows correlations between the five factors and age
for all countries except the United States. On average over the five
dimensions and the three countries, age accounts for 1.24 % (d =
.20) of the total variance. Thus, the global effect of age is small
(Cohen, 1969). In Germany, correlations range from -.09 to -.19 and age
accounts on average for 1.90% (d = .26) of the total variance. In
Spain, correlations range from -.03 to -.16 and age accounts on average
for 1.31% (d = .20) of the total variance, and in Switzerland,
correlations range from -.01 to -.11 and age accounts on average for
0.52% (d = .12) of the total variance.
Table 6
Descriptive
statistics (Mean, Standard deviation, Skewness, and Kurtosis) and alphas
by country,
and
correlations with the age variable.
|
|
|
|
|
|
|
|
Age
(a,b) |
|
|
|
M |
S.D. |
S |
K |
Alpha |
r |
p |
|
America |
N-Anx |
5.158 |
2.50 |
-.03 |
-1.11 |
0.80 |
-- |
-- |
|
(N=2.378) |
ImpSS |
5.940 |
2.16 |
-.28 |
-.68 |
0.72 |
-- |
-- |
|
|
Act |
4.150 |
2.60 |
.31 |
-.82 |
0.74 |
-- |
-- |
|
|
Sy |
6.464 |
2.53 |
-.62 |
-.35 |
0.74 |
-- |
-- |
|
|
Agg-Host |
5.474 |
2.56 |
-.11 |
-.83 |
0.72 |
-- |
-- |
|
Germany |
N-Anx |
4.768 |
2.52 |
.11 |
-1.15 |
0.82 |
-.14 |
*** |
|
(N =
517) |
ImpSS |
4.186 |
2.24 |
.28 |
-.62 |
0.73 |
-.19 |
*** |
|
|
Act |
4.812 |
2.77 |
.11 |
-.97 |
0.74 |
-.09 |
* |
|
|
Sy |
5.284 |
2.34 |
-.35 |
-.83 |
0.67 |
-.13 |
** |
|
|
Agg-Host |
4.789 |
2.30 |
.23 |
-.64 |
0.60 |
-.12 |
** |
|
Spain |
N-Anx |
4.18 |
2.23 |
.51 |
-.73 |
0.79 |
-.16 |
*** |
|
(N =
962) |
ImpSS |
5.27 |
2.35 |
-.29 |
-.80 |
0.73 |
-.14 |
*** |
|
|
Act |
4.89 |
2.84 |
-.04 |
-1.10 |
0.79 |
-.03 |
|
|
|
Sy |
6.51 |
2.49 |
-.60 |
-.42 |
0.74 |
-.12 |
*** |
|
|
Agg-Host |
4.86 |
2.42 |
.10 |
-.75 |
0.66 |
-.07 |
* |
|
Switzerland |
N-Anx |
4.87 |
2.62 |
.18 |
-1.08 |
0.83 |
-.11 |
** |
|
(N =
764) |
ImpSS |
5.38 |
2.33 |
-.16 |
-.79 |
0.74 |
-.08 |
* |
|
|
Act |
3.76 |
2.60 |
.44 |
-.75 |
0.76 |
-.01 |
|
|
|
Sy |
5.67 |
2.42 |
-.89 |
-.69 |
0.71 |
-.08 |
* |
|
|
Agg-Host |
4.72 |
2.44 |
.06 |
-.82 |
0.68 |
-.03 |
|
(a)
Correlations with age
can not be computed for the American sample.
(b)
* p < 0.05; ** p < 0.01; ***
p > 0.001
Note: Underlined effect
sizes correspond to non-signifcant differences between the two countries
being compared.
|
| |
It might be important to consider
the gender variable because differences in personality traits between
males and females are well established in the literature (v.g., Lynn, &
Martin, 1997). Regarding the ZKPQ, such differences are mainly observed
for ImpSS (males score higher), and N-Anx (females score higher)
(Zuckerman, 1994; 2002). A two-way ANOVA on N-Anx with country and gender
as factors indicated that there was a significant country effect, F(3,4613) =
12.73, p < .001 (d = .18), a significant gender effect, F(1,4613) =
386.36, p < .001 (d = .58), and a significant interaction
effect, F(3,4613) = 12.85, p < .001 (d = .18). Only
the gender effect was associated with a d higher than .20. Women
scored globally higher than men on this scale. For ImpSS, there was a
significant country effect, F(3,4613) = 69.83, p < .001 (d =
.43), and a significant gender effect, F(1,4613) = 44.57, p <
.001 (d = .20), but no significant interaction effect, F(3,4613) =
.16, p = .93 (d < .01). Country and gender effects were
associated with a d higher than .20. The American sample scored
particularly high and the German sample particularly low on this scale
(see Table 6). Moreover, women scored lower than men on this scale. For
Act, there was a significant country effect, F(3,4613) = 31.93,
p < .001 (d = .28), and a significant gender effect, F(1,4613) =
18.50, p < .001 (d = .12), but no significant interaction
effect, F(3,4613) = .38, p = .77 (d < .01). Only the
country effect was associated with a d higher than .20. The Spanish
sample scored particularly high and the Swiss sample particularly low on
this scale. For Sy, there was a significant country effect, F(3,4613) =
44.16, p < .001 (d = .35), and a significant gender effect,
F(1,4613) = 15.44, p < .001 (d = .10), but no
significant interaction effect, F(3,4613) = 1.99, p = .11 (d =
.06). Only the country effect was associated with a d higher than
.20. The American and the Spanish samples scored particularly high and the
German and the Swiss samples particularly low on this scale. For Agg-Host,
there was a significant country effect, F(3,4613) = 38.40, p <
.001 (d = .30), a significant gender effect, F(1,4613) =
4.42, p = .04 (d = .06), and a significant interaction
effect, F(3,4613) = 11.74, p < .001 (d = .18). Only
the country effect was associated with a d higher than .20. The
American sample scored particularly high on this factor compared to the
three other samples. Globally, the country factor accounted for 2.5% of
the total variance, the gender variable for 1.9% of the total variance,
and the interaction term for 0.3% of the total variance. Finally, since
the age variable also plays a role in personality mean-level (Eysenck, &
Eysenck, 1985), it should be controlled. Specifically for the ZKPQ, ImpSS
and N-Anx decrease with age (Zuckerman, 1994). When controlling for age,
the country variable, excluding the American sample, accounted for 1.5% of
the total variance, the gender variable for 2.1% of the total variance,
and the interaction term for 0.4% of the total variance. Gender and age
group means by country are available upon request from the first author.
|
| |
Finally, a principal component
with Varimax solution over the 50-item version was obtained separately for
each country. Table 7 shows the loadings per item and factor, as well as
the congruence indexes between each pair of countries. Congruence
coefficients were computed following the Orthogonal Procustes method used
by McCrae, Zonderman, Costa, Bond, and Paunonen (1996).
The Scree plot supported a five factor solution in the four countries. The
KMO was between 0.80 and 0.86, and the variance accounted for by the five
factors was around 34% in all cases. The 50 items loaded as expected,
except for item 48 (Sy) in the German sample (0.11), item 92 (Sy) in both
the German (-0.08) and Swiss (-0.01) samples, and item 3 (Agg-Host) in the
Swiss sample (0.29) (Again, item number is with regard to the original
ZKPQ). Note that total congruencies were higher than 0.90 for all
comparisons across countries. To reinforce these analyses, a multi-group
CFA was conducted. The oblique 50-item model was simultaneously fitted in
the four countries. This model obtained a
c2
of 9602.629 (p < .001; d.f.= 4660). The AGFI and the CFI were similar to
the model presented in table 3 (.83, and .77, respectively). Also, the
c2/d.f.
(2.06) and the RMSEA (0.022) obtained good values. These data suggest that
this structure is invariant across the four countries.
DISCUSSION
The main aim of this
study was to obtain a ZKPQ version with acceptable psychometric properties
in four languages. In this way, a 50-item version (10 per scale) of the
ZKPQ (ZKPQ-50-CC) was developed using several multivariate
techniques such as Exploratory and Confirmatory Factor Analysis. This
short version of the ZKPQ presents an equivalent factor structure in the
four languages, since all scales obtained high congruence indexes across
the four languages and multi-group CFA results were satisfactory. As
regards reliability, the mean of the five scales was higher than 0.70 in
the four countries, and all indexes were similar to those obtained for the
original version.
The results of this study
represent, therefore, a double contribution to the ZKPQ literature: 1)
demonstrating the cross-cultural validity of Zuckerman’s Alternative Five
Personality Model, and 2) developing a short version with good
psychometric and structural properties in four different languages
(English, French, German, and Spanish). The cross-cultural design and the
use of multivariate statistical procedures in its development give this
short version the edge over the 35, and 69-item ZKPQ versions, developed
with American and Spanish samples, respectively.
Developing short
versions of personality questionnaires is a common practice in personality
assessment (Buchanan, et al., 2005). Some instances are the Eysenck
Personality Questionnaire (EPQ-R, Eysenck, Eysenck, & Barrett, 1985), the
NEO-PI-R (Aluja, García, Rossier, & García, 2005; McCrae, & Costa,
2004), the Sensation Seeking Scale, form V (Aluja, García, & García,
2004b; Hoyle, Stephenson, Palmgreen, Lorch, & Donohew, 2002), the Big Five
Goldberg’s adjectives (García, Aluja, & García, 2004; Goldberg, 1992), the
STAXI-CA (del Barrio, Aluja, & Spielberger, 2004). These short versions
can reduce the administration time for the scales at little cost in terms
of reduced reliability. The decision as to the number of items of these
short versions varies depending on the authors, but it is usually a data
driven procedure based on statistical criteria such as, for instance,
classical theory indexes or factor loadings. In the present study, we have
conducted a similar procedure to that used by Aluja and colleagues,
(2003a). Following this procedure, the Sy scale would have 8 items (MI’s >
100). However, we decided to retain 10 items for this scale for several
reasons: a) to maintain the same number of items for all scales, b) all
standardized regression weights of the Sy scale were high which gives
support to the construct validity and dimensionality of the scale, c) the
internal consistency of the 10-item scale in the four countries was
acceptable, and d) there was a high correlation between the original and
the 10-item Sy scales.
Fabrigar, Wegener, Maccallum and
Strahan (1999) claimed that Principal Components (PC) does not distinguish
between common, unique and error variance, and the components extracted
can not be equated to common factors. If the goal is to arrive at a
parsimonious representation of the associations among measured variables,
the PC is not appropriate. In these cases, EFA extraction methods, such as
Principal Axis (PA), are strongly recommended. This recommendation is
reinforced when communalities are low (v.g. < 0.40), a pattern usually
found in factor analysis at the item level. Also, most studies have
performed an orthogonal rotation. Since psychological variables usually
correlate, oblique rotation methods are preferable to orthogonal ones.
However, no sharp differences between PC and PA, or between orthogonal and
oblique solutions, were found in the present study. Moreover, the ZKPQ
five-factor structure was mainly orthogonal in the four countries, since
not many secondary loadings appeared, and correlations between factors
were low.
The usefulness of confirmatory
factor analysis for personality research has been criticized (Raykov,
1998; Vassend, & Skrondal, 1995, 1997). It has been argued that: a) fit
indexes are usually poor; b) there are too many parameters to be
estimated, and c) there are a great deal of secondary loadings and highly
correlated items. In spite of these limitations, the CFA is a useful tool
for analysing questionnaires and the selection of items, and for testing
the factorial validity of scores from a measurement instrument (Byrne,
2001; pp. 104-119). Following this idea, fit indexes, multi-group analysis
and standardized regression weights were used in the present study. The
results strongly support the construct and cross-cultural validity of the
items selected for each scale. Although fit indexes could be improved if
the number of items was reduced to five per factor, this strategy would
result in limited content diversity and reduce the reliability of the
scale.
Alpha reliability coefficients
were similar to those of the original 89-item version. Moreover,
correlations between the short form of the scale and the original versions
were around 0.90. This is especially interesting in the case of the ImpSS
scale, since the new scale includes only 2 items of the impulsivity facet.
However, the remaining 8 items also reflect a kind of impulsivity
expressed in spontaneous types of sensation seeking without reflection on
possible risks or consequences. Markon, Krueger and Watson (2005) maintain
that an "Unconscientious Disinhibition" factor, represented by the ImpSS
scale in the ZKPQ, is one of four primary factors found in a hierarchal
structure common to normal and abnormal personality. The 10-item ImpSS
scale presents a robust one-factor structure, as can be seen in Table 7.
The effect sizes of the mean level
comparisons across countries show only slight differences between
Americans, German, Spanish, and Swiss mean
scores (d ≤ 0.43). The largest differences may be observed between
the American and German samples. Globally the country variable accounted
for 2.5% of the total variance, which corresponds to a d-value of
.32. Age differences between samples could explain this pattern,
especially for the ImpSS scale. Indeed, the impact of the country variable
decreased to 1.5% of the total variance after controlling for age (d =
.24). The gender differences were similar to those usually observed using
the ZKPQ (Zuckerman, 2002). Interestingly, no interaction between gender
and country with a d-value higher than .20 was observed. However,
it should be remarked that this study is mainly focused on the structural
validity of the ZKPQ-50-CC across cultures, and the results support the
structure developed in the four countries.
Summing
up, the present results support the equivalence of the short version
(ZKPQ-50-CC) across the four languages and countries: English (United
States), French (Switzerland), German (Germany), and Spanish (Spain). If
the validation process had been conducted separately for each language, it
is possible that different items would have been selected. Our procedure,
in contrast, faciltates the simultaneous selection of the best items in
all languages, and tests the resulting factor structure within each one.
The ZKPQ-50-CC is, therefore, a useful instrument for assessing
personality traits involved in Zuckerman's alternative five-factor model,
and facilitates cross-cultural research since the same items are used in
all languages. Nevertheless, the cross-cultural convergent validity of
this short scale still needs to be tested, by demonstrating that it
correlates equally with expected criteria across cultures.
|
| |
Table
7
Factor
loadings and percentage of variance accounted for by the factors(a)
by country, and factor congruence coefficients between countries.
|
|
America |
Germany |
Spain |
Switzerland |
Factor Congruence Coefficients between countries |
|
|
F-I |
F-II |
F-III |
F-IV |
F-V |
F-I |
F-II |
F-III |
F-IV |
F-V |
F-I |
F-II |
F-III |
F-IV |
F-V |
F-I |
F-II |
F-III |
F-IV |
F-V |
SP-SW |
SP-AM |
SP-GE |
SW-AM |
SW-GE |
AM-GE |
|
Z35 |
.66 |
.01 |
-.06 |
.02 |
-.04 |
.57 |
.01 |
-.07 |
.01 |
.32 |
.64 |
.01 |
-.08 |
-.02 |
.09 |
.62 |
.00 |
-.06 |
-.04 |
.07 |
1 |
.98 |
.96 |
.99 |
.94 |
.88 |
|
Z30 |
.67 |
.00 |
.01 |
.09 |
.13 |
.41 |
.02 |
-.10 |
-.03 |
.53 |
.61 |
-.09 |
.13 |
.08 |
.09 |
.66 |
-.01 |
.04 |
.07 |
.08 |
.98 |
.97 |
.71 |
.99 |
.72 |
.78 |
|
Z80 |
.63 |
-.04 |
.02 |
.00 |
.01 |
.63 |
-.15 |
.06 |
-.08 |
.12 |
.60 |
.00 |
.07 |
.04 |
.03 |
.62 |
-.02 |
.03 |
.05 |
.04 |
1 |
.99 |
.95 |
1 |
.94 |
| | | |