The difference between "departure" and "deviation" [closed]

I am writing a technical report that highlights the advantages of 2D (two dimensional) modeling compared with 1D modeling. I would like to mention that the 2D simulations better capture the physics of the studied phenomemon and show the departure/deviation of 1D results from the measurements.

I have seen numerous standard examples where both departure and deviation are used to describe how far something is from an expected result or an accepted norm, but I am not sure which one fits academic context I am interested in.


Dictionary comparison shows little significant difference in these terms. In your context the prose describes differences between the (simulated numerical) predictions of a 1-D model and measurements, and between a 2-D model and measurements. These differences are conventionally discussed in terms of the difference between the measurement and its modelled value (perhaps the mean, or some other statistical regressive prediction). The terms departure and deviation are both used.

Cambridge

deviation:

a difference from what is usual or expected

Cambridge

departure:

a change from what is expected, or from what has happened before

For examples:

Indeed

deviation example:

In this article, we discuss what average deviation is, how to calculate it, as well as the differences between absolute and average deviation, mean average and average deviation from the mean and standard deviation versus average deviation.

or

Merriam Webster

departure example:

The spike in Arkansas' total coronavirus case count Friday was larger by 18 than the one the previous Friday, the second departure this week from a recent overall downward trend in new cases.

Deviation has a special significance because it is conventionally used in the important statistical estimate "Standard deviation", which is a measure of the differences between a set of values and the expected values. This means that you will be on safe ground if you choose to use deviation.

Note: I guess you know about standard deviation, but for completeness this link is useful: https://mathworld.wolfram.com/StandardDeviation.html


If you are trying to mean inconsistency or abnormal behavior of the 1D results from the measurements, using deviation would be more academic. The word departure sounds more like leaving something. According to the Oxford dictionary

deviation (from something) the act of moving away from what is normal or acceptable; a difference from what is expected or acceptable