Which of the following conditions is NOT diagnosed by the presence of RF?

Rheumatoid factor (RF) is an antibody that is commonly associated with rheumatoid arthritis. The presence of RF is used as a diagnostic marker to help confirm a diagnosis of rheumatoid arthritis, as many individuals with this condition will test positive for RF.

In systemic lupus erythematosus, Goodpasture's syndrome, and Hashimoto's thyroiditis, the diagnosis does not primarily rely on the presence of RF, making the assertion about rheumatoid arthritis inaccurate. Those conditions may involve various specific autoantibodies that contribute to their identification, rather than RF itself.

When it comes to systemic lupus erythematosus, the diagnosis is more closely linked to antinuclear antibodies (ANA) and other specific autoantibodies like anti-dsDNA and anti-Smith antibodies. In Goodpasture's syndrome, anti-glomerular basement membrane antibodies are used, while Hashimoto's thyroiditis is primarily diagnosed through the detection of thyroid peroxidase antibodies and thyroid-stimulating hormone (TSH) abnormalities.

Thus, the choice indicating that rheumatoid arthritis is diagnosed by the presence of RF aligns with the typical clinical understanding, whereas the other conditions listed are not directly or primarily diagnosed based on RF presence.