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Our findings indicate that this course which has served over 300,000 people and has expanded throughout Latin America has minimal impact on marginal participants, and that people are likely making optimal choices not to attend this financial education course.
Our interpretation is that the risk is so marginal that participants may have had a hard time appraising it from the status quo.
Using the MNAR maximum likelihood estimates to evaluate P Y i = 1|{ R ′ } i = {0}, x i ) for all participants with missing data, and taking the average, gives a marginal probability of participants with missing data being nonsmokers of 0.17; 162/722=22% of those with observed outcomes are nonsmokers (Table 1).
Recalibration was marginal with young participants (11 times in 304 blocks), but relatively frequent with aged participants (99 times in 368 blocks).
Video recording is a valid method of examining doctor-patient communication: the influence of the video recorder on participants is marginal [ 20] and the participants were unaware that the analyses would focus on psychosocial problems.
Even though the estimated marginal means of participants increased (except for MC%) as they attended more study groups, this difference was not statistically significant (Table 6).
For comparison, using the maximum likelihood estimates but replacing β2 with a value two standard errors above and below its estimate provides a marginal probability of participants with missing data being nonsmokers of 0.14 and 0.19 respectively; using β2 = 0 (MAR) in this way gives a probability of 0.18.
Therefore, CS(S) − CS(S − {p}) represents the marginal cost saving of participant p with respect to coalition S. The formula of Shapley value denotes summation over all coalitions that contain player p. Another very important concept in CGT is the core (Gillies 1953).
However, participants with marginal cognitive impairment experienced worse functional trajectories in ability to prepare meals (p=0.03) and activities that require distance vision (p=0.05).
This could be due to the fact that the number of participants was marginal with respect to additional small effects, or that explanatory variables are interrelated.
Participants with marginal or no experience caring for trans patients identified the usefulness of these resources, but were unaware of guidelines that are currently available.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com