Why Uniformity of subpixel in image analysis ensures correctness I don't know if its right place to ask this question.
I was working on particle tracking of series of pictures (.tiff) of colloids. And I was Using trackpy in python.
The code gives me the position of particles to subpixel accuracy.

There is another step involved is of checking the subpixel accuracy. In this method we check the uniformity in the decimal part of the position

a quick way to check for subpixel accuracy is to check that the decimal part of the x and/or y positions are evenly distributed. Trackpy provides a convenience plotting function for this called subpx_bias


Mask size is more or less the diameter of the particle.
I am not getting how does evenly distribution of decimal part ensures that we are on the right track?
And how a dip shows that we are wrong somewhere?
You can also refer to Eric weeks website. on this website, it is briefly mentioned that

One failure mode is if the length scale in the feature is made too small, then all the x and y coords get 'rounded off' to the nearest pixel value. The above command plots a histogram of the fractional part of the x-coords of the image. The physically distributed positions should be random -- giving a flat histogram. If the histogram has two peaks (near 0 and 1), set the size parameter in 'feature' a little bigger, determine a new masscut, and repeat until everything is happy.
If the subpixels are not roughly evenly distributed then this means (among others) that certain decimal values are more prevalent than others and this can lead to large gaps in tracking the particle (gaps which can be larger than the particle's size).
So this amounts to saying that the outcome is not very precise.
On the other hand, basic continuity of motion requires that decimal values should be evenly distributed on average.
For example imagine the subpixels have a prevalence of 0.1 and 0.9 decimal values. So for a particle of size 1 its positions may vary by more than 2 pixels (eg 1.1-2.9) so this creates inaccurate trackings on average.