Incorrect, although they do have some similarities!
Both are inflammatory skin conditions, which can appear very red, itchy and sore, and both can be triggered by the immune system acting in a strange way. Psoriasis is caused by an overactive immune system, which causes inflammation and makes too many skin cells, too quickly, leading to the buildup of plaques.
Eczema can also be caused by an immune system response, which breaks down the skin’s protective barrier, making it drier and itchy. There are different types of both psoriasis and eczema but, classically, eczema is red, rash-like and weepy, whereas psoriasis appears in well-defined areas, with white, scaly or flaky ‘plaques’.
Eczema can be associated with other conditions such as allergies, asthma and hayfever, whilst psoriasis can be associated with other inflammatory conditions, such as arthritis and bowel conditions.