Since new information about the Ilvermorny School of Witchcraft and Wizardry – a North American wizarding school which will be featured in the Fantastic Beasts and Where to Find Them film – was announced, fans have been speculating on how the new houses correlate to the four houses of Hogwarts. Although the houses seem to share some similarities, J. K. Rowling took to Twitter to announce that there is no equivalence between the Hogwarts and Ilvermorny houses.
There is no equivalence between Hogwarts and Ilvermorny houses, but don't diss Hufflepuff! https://t.co/ey0VdC542f
— J.K. Rowling (@jk_rowling) June 29, 2016
You can read more about Ilvermorny on the official Pottermore website.