The knowledge strategy orientation scale: individual
perceptions of firm-level phenomena.
by Miller, Brian K.^Bierly, Paul E., III^Daly, Paula S.
Exploratory Factor Analysis. In order to pre-test our items and
explore the underlying factor structure of our knowledge strategy
orientation subscales, we used principal axis factoring in an
Exploratory Factor Analysis (EFA), with a promax rotation, on the data
from Sample One. While there is some disagreement on minimum sample size
requirements, many methodologists suggest at least five to ten
respondents per item are needed for EFA (Comrey, 1988; Hair et al.,
1998). We have more than 12 respondents per item. We used the latent
root criteria of an eigen value greater than one and a scree plot for
the determination of factor extraction. Additionally, we considered
items with loadings of greater than .40 to be "substantial"
(Floyd and Widaman, 1995) and loadings above .50 to be "very
significant" (Hair et al., 1998). Because we have a theoretical
basis to support our belief that these constructs are correlated, we
used the promax form of oblique rotation. It must be noted that EFA
tends to capitalize on the chance characteristics of a sample. Because
the purpose of this article is to examine the factor structure of
responses to our scale items, we later used confirmatory factor analysis
to cross-validate the results of our Sample One EFA.
Confirmatory Factor Analysis. Confirmatory factor analysis allows a
confirmatory, rather than an exploratory, approach to determining the
underlying structure of observed variables (Harris and Schaubroeck,
1990), and provides a means of assessing the relationships between
constructs without the bias commonly introduced by measurement error
(Judd et al., 1986). Confirmatory factor analysis is used to determine
the extent to which alternative models explain the relationships between
items in a scale. Two competing measurement models of strategic
orientation were evaluated in this study. The alternative CFA models
were: (a) a one-factor model that forced all items designed to measure
Explorer and Exploiter onto a single factor of Knowledge Strategy
Orientation and (b) a two-factor model that forced the Explorer items
and the Exploiter items onto separate factors. In each model, error
variances for the items were not allowed to correlate. Should the
one-factor model provide a fit of the data equivalent to the two-factor
model, it would indicate a single underlying latent construct (i.e.,
Explorer and Exploiter as opposite ends of an unidimensional knowledge
strategy continuum). If the two-factor model should provide the better
fit than the one-factor model, then our conceptualization of Explorer
and Exploiter as distinct and independent constructs will be supported.
As suggested by Thompson and Daniel (1996), CFA is most useful when
the researcher tests a priori models, because more effective decisions
can then be made about the viability of the target model. Because the a
prior/models above are nested, the chi-square difference can be used to
test for significant differences between the models. If the chi-square
difference is significant, it indicates that the more complex two-factor
model fits the data significantly better than the simpler one-factor
model.
Hu and Bentler (1998, 1999) recommend that several goodness-of-fit
tests be conducted and that their resulting indices be reported. These
indices are of two types: absolute and incremental. An absolute index
tests how well the model covariance matrix reproduces the sample
covariance matrix while an incremental index tests the fit of the
hypothesized model as compared to a baseline model. The most
commonly-used absolute fit index is the chi-square test that assesses
the discrepancy between the implied covariance matrix of the
hypothesized model and the sample covariance matrix. A non-significant
chi-square is the desired result of this test as it suggests the model
may be a reasonable approximation of the data. However, many researchers
(c.f. Fan et al., 1999; Hu and Bentler, 1995) have cautioned that using
the chi-square test as an assessment of fit can be confounded by sample
size because as sample size increases, the chance of the chi-square test
supporting a fit of the data decreases. Thus, small differences between
the sample covariance matrix and the reproduced covariance matrix may be
determined to be statistically significant and lead to rejection of the
model. With this in mind, supplemental absolute indices were employed.
Another absolute index, the standardized root mean square residual
(SRMR) is reported as a summary statistic based upon residuals between
the elements of the implied and observed covariance matrices. The
standardized root mean square residual ranges from 0 to 1 and values
close to 0 are preferred. In fact, Hu and Bentler (1998, 1999) suggest
that researchers always use the SRMR to assess model fit because of its
sensitivity to simple model misspecification (misspecified factor
correlations). They suggest that target values of the SRMR should be
less than .08 in order to indicate adequate model fit. Another absolute
fit index, the root mean square error of approximation (RMSEA), is
reported in this study as well. The RMSEA assesses lack of fit based
upon model misspecification and provides a measure of this discrepancy
per degree of freedom (Browne and Cudeck, 1993). This fit index is quite
sensitive to complex misspecification (i.e., misspecified factor
loadings; Hu and Bentler, 1998). It ranges from 0 to 1, with target
values of less than .08 indicating adequate fit (Browne and Cudeck,
1993).
Incremental fit indices are also recommended (Hoyle and Panter,
1995; Hu and Bender, 1999) to assess model fit. The comparative fit
index (CFI) developed by Bender (1990) is reported here. It is sensitive
to misspecified factor loadings (Hu and Bentler, 1998) and assesses the
improvement of fit of the hypothesized model over the null model. The
null model is an independence model in which variables are hypothesized
to be uncorrelated. The CFI ranges from 0 to 1, and values greater than
.95 have recently been advocated (Hu and Bender, 1999) as an increase
from earlier target values greater than .90 (Hoyle and Panter, 1995).
RESULTS
Sample One EFA Results
In Sample One, our principal axis analysis resulted in two factors
with eigen values of 3.409 and 1.086 being extracted that explained
56.15% of the variance. As we envisioned, our promax oblique rotation
resulted in each Explorer item loading more highly on one factor than
the other and each Exploiter item loading more highly on the other
factor. Three of four Explorer items showed "very significant"
loadings greater than .60. Two of four Exploiter items showed
"substantial" loadings greater than .40, while another item
showed "very significant" loading. See Table 1 for the
resulting pattern matrix. With this factor structure in mind we then
cross-validated these results on the data from Samples Two and Three
using CFA.
Item Level Statistics for Samples Two and Three
Each CFA measurement model was estimated in this study using LISREL
8.71 software (Joreskog and Serbom, 2004). A component of the LISREL
software, PRELIS 2.30, was used to assess univariate normality and to
generate the covariance matrix upon which the CFA was conducted. Kline
(1998) advocates upper boundaries of 3.0 for skewness and 8.0 for
kurtosis as indicators of univariate normality.
Sample Two. The univariate data for the Explorer and Exploiter
scales were approximately normally distributed with skewness for the
eight manifest indicators ranging from -0.88 to 0.39, and kurtosis
ranging from -1.56 to 1.45 (see Table 2). Based upon the descriptive
statistics for the sample, it appears that the data were approximately
normally distributed. Therefore, the maximum likelihood (ML) method of
estimation was employed in CFA.
Sample Three. The univariate data for the Explorer and Exploiter
scales were approximately normally distributed with skewness for the
eight manifest indicators ranging from-1.10 to 0.44, and kurtosis
ranging from -1.39 to 1.31 (see Table 2). Based upon the descriptive
statistics for the sample, it appears that the data were approximately
normally distributed. Therefore, the maximum likelihood (ML) method of
estimation was employed in CFA.
Confirmatory Factor Analysis Results
The eight items comprising the Explorer Orientation and Exploiter
Orientation scales were subjected to CFA. Two models were compared: a
one-factor model forcing all eight items onto the same factor and a
two-factor model forcing the Explorer items and Exploiter items onto
their respective factors. Error terms were not allowed to correlate in
either model, and in the two-factor model items were not allowed to
cross-load. See Table 3 for the fit indices of these two models in our
samples.
Sample Two. The most complex model was the two-factor model, which
resulted in CFI = 0.92, RMSEA = 0.097, and SRMR = 0.065. The SRMR
indicates good fit of the data to the model, and the RMSEA and SRMR are
only slightly outside the recommended thresholds. The more parsimonious
one-factor model resulted in CFI = 0.79, RMSEA = 0.16, and SRMR = 0.098.
None of these indices meets the criteria for good fit. Additionally, the
[chi square] for the two-factor model was 39.60 (p < .001), while the
[chi square] for the one-factor model was 73.24 (p < .001), resulting
in a [DELTA][chi square] of 33.64 (p < .001). The significant
[DELTA][chi square] indicates that the two-factor model fits the data
significantly better than the one-factor model, providing evidence of
the superior fit of the two-factor model.
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