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"moderating effects on" is a correct and usable phrase in written English.
It is typically used in academic or scientific contexts to describe the influence or impact that something has on a particular outcome or variable. Here is an example sentence: "The study found that social support had moderating effects on the relationship between stress and job satisfaction." This means that social support can lessen or moderate the negative effects of stress on job satisfaction.
Exact(17)
In practice, one would fix all regression weights concerning the moderating effects on the variances (βa, βc, and βe) to zero at once, resulting in a test with 3 degrees of freedom.
The results show that work stress has significant moderation effects on the relationship of work-family balance practices and work-family conflict; moreover, different work stresses (challenge vs. hindrance stress) display different moderating effects on the relationship.
Based on a sample of 3480 individuals across China in 2012, this study examines the impacts of the built environment at both neighborhood and city levels on car ownership and its moderating effects on household income.
This study aimed to examine the associations between sleep duration and suicidal ideation and attempts among adolescents and to test whether depressive symptoms have moderating effects on the associations.
The use of multilevel modeling techniques allowed for the evaluation of moderating effects on these relationships, including those of gender, year of data collection, mean age of the sample, publication type, and type of symptomatology measured.
In addition, perceived job support was found to have moderating effects on the relationship between employees' perceived usefulness of the e-learning system and their intention to use the system.
Similar(43)
Past behaviour is thought to have a moderating effect on one's perceptions of the control they have over the behaviour, since having performed the behaviour in the past may alter their perceptions of being able to perform it in the future [ 12].
Furthermore, strategy implementability, which can be appraised by the criteria of feasibility, acceptability, cost, effectiveness, and sustainability, exhibits a moderating effect on the relationship of intervention strategy-unsafe acts.
To test whether or not age moderated the effects, we eliminated the age moderator from model 2. Age had no significant moderating effect on genetic and environmental influences (model 3).
This contextual variable (establishment rule) had a moderating effect on the intervention, which would have been missed if one were to examine only individual-level effects.
To examine the role of encouragement of participation in the relationship between networking ability and income, we adopted the "second stage moderation model approach (Edwards & Lambert, 2007), which refers to the model with a moderating effect on the second path of the indirect effect of the independent variable on the dependent variable through the mediator.
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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