YOU SAID:
I have a small dog who thinks he is a large dog
INTO JAPANESE
私は彼が大きな犬だと思っている小さな犬を飼っています
BACK INTO ENGLISH
I have a small dog who thinks he is a big dog
INTO JAPANESE
私は彼を大きな犬だと思っている小さな犬を飼っています
BACK INTO ENGLISH
I have a small dog who thinks he is a big dog
That didn't even make that much sense in English.