Casio EX-Z280 has a
12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor . On the other hand, Olympus SZ-15 has a
16.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor .
Below you can see the EX-Z280 and SZ-15 sensor size comparison.
Sensor Size and Resolution Comparison image of Casio EX-Z280 and Olympus SZ-15 Cameras
Casio EX-Z280 and Olympus SZ-15 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. On the other hand, since Casio EX-Z280 has 32% larger pixel area compared to Olympus SZ-15, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.
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
Casio EX-Z280
or the
Olympus SZ-15 ,
including hyperfocal distance.