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The phrase "a normal distribution since" is correct and usable in written English.
It can be used in statistical contexts to introduce a reason or explanation related to normal distribution.
Example: "The data follows a normal distribution since the mean and median are approximately equal."
Alternatives: "a normal distribution because" or "a normal distribution as".
Exact(5)
Being the discrete Fourier transform of a white noise w(n), W(k) asymptotically follows a normal distribution since it is the sum of independent terms.
Moreover, such a distribution was transformed into a normal distribution, since the number of meioses between markers was not small (n > 30).
Clearly, the background as estimated by the exponential-normal model does not have a normal distribution, since the QQ plot does not display a straight line.
Although the global distributions of these two sets of paralogs are not bimodal, the protein identities do not follow a normal distribution since the paralogs exhibiting high sequence conservation are found more frequently than their poorly conserved counterparts.
Statistically, this proportion is not significantly different from a normal distribution since 974 genes (~ 32% of all annotated C. glutamicum genes) encode a signal peptide for secretion or at least one transmembrane helix.
Similar(55)
Since CCR7 expression does not follow a normal distribution, and since its expression has a dynamic range of 2-3 loGMFIgivesgives a more accurate estimate of the central tendency in the data sets than MFI.
The results illustrated in Fig. 2 supply the general influence of a normal distribution of underlying errors, since the residuals lie along the line; therefore, the model is an acceptable fit with no apparent problem in normality and response transformation.
Prior to the analysis, the data were standardized to produce a normal distribution of all variables, since water quality parameters had different magnitudes and scales of measurements, which if not taken into account would have given more weight to certain variables due to their respective variance.
The sum of terms on the left-hand side of the inequality do not have a standard normal distribution since λ ζ2+ j is added to ϵ j which itself has a standard normal distribution.
On infection, a cell is allocated a length of time until lysis, drawn from an appropriate normal distribution, since infection prevents natural death by apoptosis.
For the present study, radial profiling was chosen as one way to approach the heterogeneity in LDL particles, since these particles have a normal distribution due to variable lipid composition and since this affects apoB-100 conformation.
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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