Both Sony A55 and Sony NEX-F3 have APS-C sized 16.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the A55 and NEX-F3 sensor size comparison.
Sensor Size and Resolution Comparison image of Sony A55 and Sony NEX-F3 Cameras
Sony A55 and Sony NEX-F3 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the 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
Sony A55
73
23.0 bits
12.4 Evs
816 ISO
Sony NEX-F3
73
22.7 bits
12.3 Evs
1114 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
Sony A55
or the
Sony NEX-F3 ,
including hyperfocal distance.