pdf - Nyenrode Business Universiteit
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4.4. ANALYSES 111<br />
room for managerial opportunims (i.e., the part of RFMO that is not explained by other<br />
exogenous factors in the structural model).<br />
Larcker & Rusticus (2010) and Chenhall & Moers (2007) argue that, in addition to providing<br />
(at least a beginning of) theoretical argumentation for the instrument’s relevance, a statistical<br />
specification test is required. The specification test for the instrumental variable’s<br />
relevance is the partial F-test 13 , which examines whether the instrument is significantly<br />
related to the endogenous explanatory variable. This test is conducted by evaluating the<br />
partial F-statistic of the first-stage regression analyses. This partial F-statistic indicates<br />
if the addition of the instrumental variable contributes to the model. Given the fact that<br />
I use a single instrumental variable, a partial F-statistic value of above 8.96 suggests that<br />
the instrumental variable is relevant (Larcker & Rusticus 2010). The first-stage F-statistic<br />
in my model is 40.227 (p < 0.01). Considering both the theoretical and statisical assessment<br />
of the instrumental variable, the selected questionnaire item is used as a single-item<br />
instrumental variable.<br />
The first-stage regression analysis is significant (ANOVA F-statistic is 4.784). This regression<br />
explains 14.0% of the variance of RPE-Use (Adjusted R 2 = 11.0). Additionally, the<br />
instrumental variable is significant. Following the recommendations of Larcker & Rusticus<br />
(2010), I present the coefficient estimates for the first-stage model (see table 4.14).<br />
Table 4.14: Results of First-Stage Regression Analysis (RPE-Use)<br />
Coefficient Std. Error t-Stat. Prob.<br />
Constant 1.200 0.766 1.568 0.12<br />
Instrumental Variable 0.192 0.030 6.342 0.00<br />
Information Asymm. 0.053 0.065 0.807 0.42<br />
Goal Ambiguity 0.134 0.118 1.136 0.26<br />
Measurability of Outputs 0.147 0.102 1.435 0.15<br />
Decentralization -0.002 0.052 -0.044 0.97<br />
BU Size 0.005 0.028 0.179 0.86<br />
Firm Size 0.007 0.026 0.246 0.81<br />
Dummy production 0.138 0.150 0.915 0.36<br />
Dummy financial services 0.091 0.152 0.599 0.55<br />
Dummy not-for-profit -0.047 0.159 -0.299 0.77<br />
R 2 = 0.140 F-statistic = 4.784<br />
Adjusted R 2 = 0.110 Prob(F-statistic) = 0.000<br />
Included observations: 306<br />
The predicted value of RPE-Use that follows from this regression is then used as a proxy<br />
for RPE-Use in the second regression. In addition to the predicted RPE-Use variable<br />
from the first regression, the second regression includes the original (observed) RPE-Use<br />
13 Larcker & Rusticus (2010) also refer to this test as the ’weak instruments’ test.