The type of connections that readers can make to texts is only I and III - text-to-self and text-to-text.
There is no text-to-test connection, but rather text-to-world connection, which is the third type of connection.
Text-to-self means that you are relating the text to your own life and opinions, and text-to-text means that you are not talking into account your own opinions, but rather just what is written in the text.