Which of the following statements are true concerning information criteria? (i) Adjusted R-squared is an information criterion (ii) If the residual sum of squares falls when an additional term is...

Which of the following statements are true concerning information criteria?

(i) Adjusted R-squared is an information criterion

(ii) If the residual sum of squares falls when an additional term is added, the value of the information criterion will fall

(iii) Akaike's information criterion always leads to model orders that are at least as large as those of Schwarz's information criterion

(iv) Akaike's information criterion is consistent