For an equivalent field of view, the small-sensor camera has at least 1.6x MORE depth of field
than a full-frame camera would have - when the focus distance is significantly less then the hyperfocal distance (but the full-frame format need a lens with 1.6x the focal length to give the same view).
2. Using the same lens on a small-sensor camera and a full-frame camera, the small-sensor image has 1.6x LESS depth of field than the full-frame image would have (but they would be different images since the field of view would be different)
3. If you use the same lens on a small-sensor camera and a full-frame camera and crop the full-frame image to give the same view as the digital image, the depth of field is IDENTICAL
4. If you use the same lens on a small-sensor camera and a full-frame camera, then shoot from different distances so that the view is the same, the small-sensor image will have 1.6x MORE DOF then the film image.
5. Close to the hyperfocal distance, the small-sensor camera has a much more than 1.6x the DOF of a full-frame camera. The hyperfocal distance of the small-sensor camera is 1.6x less than that of a full-frame came