Both Nikon D3300 and Sony A6000 have APS-C sized 24.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Another difference between these two cameras is that Nikon D3300's sensor lacks anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the D3300 and A6000 sensor size comparison.
Sensor Size and Resolution Comparison image of Nikon D3300 and Sony A6000 Cameras
Nikon D3300 and Sony A6000 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.
DxOMark Sensor Scores
At Camera Decision, we also look at Dxo Mark sensors when available as we think it is a good indicator of image quality.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Nikon D3300
82
24.3 bits
12.8 Evs
1385 ISO
Sony A6000
82
24.1 bits
13.1 Evs
1347 ISO
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Nikon D3300
or the
Sony A6000 ,
including hyperfocal distance.