Agglutination is the clumping of antigens and antibodies, which is visible when testing particulate antigens with patient serum. Haemagglutination specifically refers to the agglutination of red blood cells by viral or bacterial antigens, crucial for diagnosing infections like Newcastle disease. The process involves specific protocols and controls, including the mixing of virus suspensions with red blood cells, allowing for the differentiation between positive and negative agglutination results.