Coagulation versus agglutination

From WikiLectures

Coagulation and agglutination have very little in common...

However, we often hear that when blood is typed, the sample "coagulates". However, this is a false statement. Thus:

Comparison of hemocoagulation and hemagglutination
parameter coagulation agglutination
Meaning Stop bleeding Removal of non-self antigen
Reaction Enzymatic proteolysis Immune reactions (weak interactions)
Reactants Plasma proteins Erythrocyte antigens+antibodies in plasma
Enzymatic reaction yeas no
Where the reaction takes place In plasma, blood cells are not needed Plasma and erythrocytes
Result Polymerized fibrin Immunocomplexes