Ind. Code § 25-14-1-11

Sec. 11. The governor shall have the power to remove any member of the board for incompetency, gross immorality, for any abuse of his official power or for any other good cause and may fill any vacancy occasioned by removal, death, resignation or otherwise, by appointment. Any person appointed to fill any vacancy of such board, whether caused by death, resignation, removal or otherwise, shall hold for the unexpired term of the member whose place he is appointed to fill and all vacancies shall be filled in the manner prescribed for the regular appointments to said board.