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The ratios of the R2 of the mood variable regression to the R2 of the dummy variable regression suggest that mood remains a valid explanatory variable of the day-of-the-week effect across the three subperiods.
The upper part of each panel presents the regression statistics for each portfolio, the bottom part reports the ratios of the R2 of the mood variable regression to the R2 of the respective dummy variable regression.
The bottom line of each panel presents the proportion of the daily variation of average abnormal returns explained by mood, measured as the ratio of the R2 of the mood variable regression to the R2 of the respective dummy variable regression.
We used instrumental variable regression to correct for estimation bias and adjusted for potentially confounding factors.
We implemented instrumental variable regression to generate IV estimates for the true causal associations of smoking with continuous physical and cognitive capability measures.
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We employ instrumental variable regressions to address endogeneity problems of the subsidization.
We use a logit regression model first, and then utilize the PSM technique and instrument variable regressions to address endogeneity concerns.
Recognizing that our definition of renal injury includes cases not related to PPI use, we used a multi-variable regression to control for the effect of these confounding causes of renal injury.
In the second analysis, the data for each patient was left out in turn (allowing us to further investigate potential intra-patient clustering effects); the coefficients on each variable were computed by applying errors-in-variables regression to the left-in patients' data and used to predict the responses for the tumours in the left-out patients.
In the first analysis, each tumour was left out in turn; the coefficients on each variable were computed by applying errors-in-variables regression to the left-in tumours' data and used to predict the response of the left-out tumour.
Anyhow, to somewhat attenuate this endogeneity concerns and to provide with an specification able to explain as much as possible of the variation in the size distribution across countries, we include several variables aimed at controlling for these factors and run instrumental variables regressions to check the robustness of the results.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com