Analogous use as in the article you were reading is (or was?) a UK doctrine that was sometimes applied outside of or in addition to the "normal" questions of novelty and inventive step.
This is unrelated to the non-analogous use arguments Karen asked you about. This is/was a way of arguing against the patent office's combination of art based on who is the person of ordinary skill in the art. Remember that the person of skill in the art is held, legally, to essentially have knowledge of all publications within his/her field of art.
Let's say you're patenting a tomato planting system and one of the arguably patentable features is having a soil-covering material having given ranges of wettability, fiber sizes, and air, vapor, and liquid water permeabiilties.
The examiner finds a published similar plant-growing system but it has a regular cloth soil cover. The examiner also finds published a description of a material having all your required features that is used as an air intake filter on, I dunno, let's say an ICBM (not a great example but it'll do for discussion).
The examiner then makes an obviousness or inventive step rejection on the basis that the skilled person having both documents before him/her would naturally ("obviously") combine the ICBM intake material with the planting system, therefore you are obvious/not inventive.
You can argue that this use of the material in the ICBM is so non-analogous, so far from the art of concern to the skilled person in your field (tomato growing), that said skilled person can't be held to know what is in that non-analogous ICBM field.
In the US, such arguments were formerly often successful (if truly based on wildly different fields of art). These arguments can still be applied, but are not as useful today because of case law that expanded "field" to also include people seeking similar solutions to similar problems, even if actually in widely separated fields of art.
So if in both cases (tomato growing and ICBM's), what is important is to control passage of gas, vapor and liquid, then the examiner can argue back at you that the skilled man would seek (and find) that similar solution in the ICBM publication.