pdf - Nyenrode Business Universiteit
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3.4. ANALYSES 83<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,<br />
a statistical specification test is required. The specification test for the instrumental variable’s<br />
relevance is the partial F-test 8 , which examines whether the instrument is significantly<br />
related to the endogenous explanatory variable. This test is conducted by evaluating<br />
the partial F-statistic of the first-stage regression analyses. This partial F-statistic indicates<br />
whether the addition of the instrumental variable contributes to the model. Given<br />
the fact that I use a single instrumental variable, a partial F-statistic value of above 8.96<br />
suggests that the instrumental variable is relevant (Larcker & Rusticus 2010). The firststage<br />
F-statistic in my model is 30.43 (p < 0.01). Considering both the theoretical and<br />
statisical assessment of the instrumental variable, the selected questionnaire item is used<br />
as a single-item instrumental variable.<br />
The first-stage regression analysis is significant (ANOVA F-statistic is 4.140). This regression<br />
explains 14.7% of the variance of RPE-Use (Adjusted R 2 = 11.2). 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 3.12).<br />
Table 3.12: Results of First-Stage Regression Analysis (RPE-Use)<br />
Coefficient Std. Error t-Stat. Prob.<br />
Constant 0.891 0.817 1.091 0.28<br />
Instrumental Variable 0.180 0.033 5.508 0.00<br />
Environmental Unc. 0.198 0.100 1.991 0.05<br />
Goal Ambiguity 0.116 0.127 0.918 0.36<br />
Measurability of Outputs 0.113 0.111 1.019 0.31<br />
Emphasis on PLM 0.461 0.296 1.558 0.12<br />
Emphasis on DM 0.092 0.346 0.265 0.79<br />
BU Size 0.001 0.030 0.022 0.98<br />
Firm Size 0.012 0.028 0.426 0.67<br />
Dummy production 0.153 0.158 0.968 0.33<br />
Dummy financial services 0.078 0.164 0.476 0.64<br />
Dummy not-for-profit -0.076 0.171 -0.444 0.66<br />
R 2 = 0.147 F-statistic = 4.140<br />
Adjusted R 2 = 0.112 Prob(F-statistic) = 0.000<br />
Included observations: 276<br />
8 Larcker & Rusticus (2010) also refer to this test as the ’weak instruments’ test.