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The word "Pearson" is correct and usable in written English.
This typically refers to Pearson Education, the world's largest educational publisher, or the Pearson correlation coefficient, which is a statistic used to measure the degree of association between two variables. You can use it in a sentence like this: "We used Pearson correlation coefficient to analyze the data."
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Pearson, N. H., & Bryher.
Stewart, F.M., Crittenden, R.B., Lowry, P.A., Pearson-White, S. & Quesenberry, P.J.
Pearson, Erica.
Pearson, Lennart.
But Pearson pushes on.
Pearson proved that.
Referee D Pearson (Northumberland).
And Ms. Pearson approves.
The Pearson family glamour?
S. Pearson (Asia-Pac).
Don't overthink it, Pearson.
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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