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"for the first factor" is correct and usable in written English.
You can use it to introduce the first factor in a list of items or ideas, for example: "There are many factors that influence our decision-making process, for the first factor let's consider the cost."
Exact(36)
The variations explained by the factors were 46.2 % for the first factor and 30.0 % for the second factor.
As for the first factor, the higher the order of mode, the better the detection for both kinds of defects.
This decision was based on the following criteria: 1) High eigenvalue for the first factor when compared with the second.
Table 2 Factorial loads, means and standard deviations of SRLTU items for the first factor, "Share information" Factorial load M SD 28.
The eigenvalue for the first factor was 20.165, whereas for the second factor was 1.619, followed by 1.263 and 1.202 for the third and fourth factors, respectively.
For the first factor, there is a great deal of discussion and debate about the impact nature of academic level on the new venture creation.
Similar(24)
For improvement of the first factor, new nuclear reactions should eventually be examined using new target materials.
For instance, the first factor "location" is influenced 75% by itself and 25% by anticoagulation.
For both conditions the first factor was touch type (synchronous or asynchronous), this factor was within subjects, and counterbalanced.
For working subjects, the first factor may reflect working and social disabilities and the second factor may reflect hygienic disability.
The first factor, for which all factor loadings were fixed to.447, represents the Intercept.
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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