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The phrase "a principal variable in" is correct and usable in written English.
It can be used when discussing a key factor or element that plays a significant role in a particular context or situation.
Example: "In this study, temperature is identified as a principal variable in determining the rate of chemical reactions."
Alternatives: "a key factor in" or "a major element in".
Exact(1)
The investor, who planned to profit by developing and exporting agricultural commodities, boasted about how the region's instability was a principal variable in his financial model: "This is Africa," he told reporter McKenzie Funk, who shadowed him for a riveting piece in Rolling Stone (PDF).
Similar(59)
In the design of solar air heaters (SAHs), channel depth is a principal variable to be fixed.
‡The variable describing mortared brick, sillar, and basalt was left in the final model because it represents a possible intervention and was therefore a principal variable of interest.
As reflected in Table 2, given that physical health exhibits the highest correlation with ADLs, this variable was considered the principal variable in the logistic regression analysis, while mental health, age, sex, marital status, education and personal finances were treated as modifying variables.
Certain studies have also suggested that the use of PSI as the principal variable in making the admissions decision could compromise patient care especially in the economically disadvantaged.[ 25] This study is limited by its retrospective nature and relatively small sample size.
Also, the authors should consider that the poor performance is likely because of the high degree of interference between the many repeated left- and right-turn trials, consistent with the favored interpretation that stimulation at the right time may reduce interference of competing memories, which could be viewed as the principal variable in controlling performance.
The principal variables in the model are the rate of diffusion and the half-life of Aβ.
Principal variables in the pregnancy are iron status of the mother at each clinical visit (anemia, ferropenic anemia, risk of hemoconcentration) and birth weight of the baby.
The principal variable to be fixed in the design of a PV cooling duct is its depth, and hence the hydraulic diameter of its cross-section D. Analysis of the flow and heat transfer in the duct under still-air (buoyant flow) conditions, when the temperature rise is greatest, is validated by measurements on a full-scale test rig.
The objective of this study is to determine the baseline risk of the principal variable, consumption of resources in the population of patients who die from malignant neoplasm.
We ran the Principal Variables Analysis in R — package 'subselect' (Mccabe, 1984; Cadima and Jolliffe, 2001; Cadima et al., 2004) — using the correlation matrix of original non-imputed data, which was computed on all available pairwise observations for each pair of variables.
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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