TIFF: Tagged Image File Format. A graphic file format for PC and Macintosh (.tif). It is compatible with most image-editing software.
RAW: The RAW image format is the data as it comes directly off the CCD, with no in-camera processing is performed.
Basically, the RAW file is all of the literal raw data collected by the camera. It is uncompressed, and keeps its purity is essence with out the compression of the JPEG system that causes you to loose the data after repeated copies of the same file. (A xerox copy of a xerox copy.)
The TIFF is a processed image by the computer that is compatible with Mac, and PC, but is far Superior to Jpegs because again it is uncompressed. Larger file size, but it wont looses information per-sei.
As for doing the same thing, think of cooking with raw ingredients, vs, microwave dinner. You still get food, but RAW takes longer, and tastes better.
If you mean whats the difference between raw and tiff shot from a camera which supports both; with a raw file you can alter things like exposure, sharpness and white balence before it is imported to image editing software. A tiff file from a camera is superior to jpeg in file size, compression etc as soocom discribed, but can only be altered in a software programme. Therefore raw is a better option to make corrections, epecially in a pic that needs the exposure altered.
Joint Photographic Experts Group. JPEG is a standards committee that designed an image compression format. The compression format they designed is known as a lossy compression, in that it deletes information from an image that it considers unnecessary. JPEG files can range from small amounts of lossless compression to large amounts of lossy compression. This is a common standard on the WWW, but the data loss generated in its compression make it undesirable for printing purposes.