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The phrase "a one factor model" is correct and usable in written English.
It can be used in contexts related to statistics, finance, or research where a model is being described that considers a single influencing factor.
Example: "In our analysis, we utilized a one factor model to simplify the relationship between the variables."
Alternatives: "a single factor model" or "a unifactor model".
Exact(12)
A one factor model obtained a standardized root mean residual RMSR = .12, greater than recommendation (RMSR <.06; Ferrando & Lorenzo-Seva, 2013), and a lower percentage of explained variance (34.65%) than the other models.
Overall, the weight of evidence points towards a one factor model providing adequate fit to the data.
Similarly, in the current sample, criteria described by [ 46] were used to check if a one factor model adequately fit the data in a CFA.
(Other possible explanations for the data were examined but found not to provide a good fit, e.g. a one factor model, and multiple two factor models).
To confirm that the six domains assessed a common underlying QoL construct, a one factor model of these domains was initially evaluated using CFA.
The total sum score (corresponding to a one factor model) and the YBOCS total severity score were also heritable, with heritability estimates of 0.39 and 0.52, respectively.
Similar(48)
Bivariate correlations were computed and a two-factor model was tested against a one-factor model with structural equation modeling, using Amos 16.0.
To the scores of the twin 1 and 2 samples on these subtests, we fitted a one-factor model representing the general intelligence factor.
The CFA revealed that a one-factor model with correlated residuals was the more parsimonious model.
Confirmatory factor analysis confirmed the two-factorial scale structure of the CARAT10, with a two-factor model showing a better fit to the data than a one-factor model.
A two-factor model with two related factors ("positive core self-evaluations" and "negative core self-evaluations") fit the data better than a one-factor model.
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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