In language, an analogical change is the process of inventing a new element in conformity with some part of the language system that you already know. For instance, child learns pairs like dog/dogs, cat/cats and is then able to form other plurals. The way in which analogy can lead to a change is seen when the child learns words like man and mouse, and forms the analogical plurals mans and mouses (instead of men and mice).
References
Analogical change Wikipedia(Text) CC BY-SA