Immunoassays look for antibodies, or more specifically the antibodies that attack specific antigens.
Labelled assay adds a chemical that reacts with antibody-antigen pair, and then looks for signs of this reaction. Essentially, the added chemical labels the antibodies for easy detection.
Unlabelled test does not add a chemical, and tries to detect antibody-antigen interaction directly, by trying to detect electro-chemical aspects of it.
It seems that labelled assays are easier and more common, while unlabelled require some highly specialized equipment.
Immunoassays look for antibodies, or more specifically the antibodies that attack specific antigens.
Labelled assay adds a chemical that reacts with antibody-antigen pair, and then looks for signs of this reaction. Essentially, the added chemical labels the antibodies for easy detection.
Unlabelled test does not add a chemical, and tries to detect antibody-antigen interaction directly, by trying to detect electro-chemical aspects of it.
It seems that labelled assays are easier and more common, while unlabelled require some highly specialized equipment.
Source: https://www.creative-diagnostics.com/Immunoassay.htm