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By the end of the 19th century, the alto flute, a weak instrument dynamically, had joined the orchestra, but it was exploited most effectively by the French composers of the early 20th century—for example, Claude Debussy.
The p value of the underidentification test also allows the rejection of the hypothesis of having a weak instrument.
Because of a weak instrument problem, only OLS results are shown, which points to a need for caution in interpreting them.
Q Unfortunately there are no tests for a) weak instrument and b) over-identification of instruments in cluster-robust IV-Probit models.
Given the similarity of the estimates between the two instrumental variables, we conclude that our estimation approach does not suffer from a weak instrument problem.
To confirm that the proportion of hospital low-dose corticosteroid treatment was not a weak instrument, we used a partial F test [34].
Similar(39)
However, the quadratic term was in general not statistically significant in the reduced form and suffered from a weak instruments problem in the IV models (where we construct a squared term of average wait time by state-year-stage to instrument for the squared value of individual's wait time).
Until further theoretical and simulation work is available on bias amplification, a conservative strategy is to adjust on {C1,C3}, as C3 should be a weaker instrument than C2, but also to present the estimate adjusted on {C1,C2} and {C1,C2,C3}.
In the base specification (with a full set of year dummies, column 3), the first stage F-statistic is quite small, indicating that there is likely to be a weak-instrument problem.
Weak instrument bias, a phenomenon by which instrumental-variable estimates using variants not strongly associated with the risk factor of interest are biased, may be substantial if large numbers of genetic variants are used (30), as may be necessary in a multivariable Mendelian randomization experiment.
The result on the test for weak instrument had a partial R squared of 0.3 which is significantly high and thus confirms that the instruments used are not weak.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com