The production method of the present invention includes (A) a forming step of forming into a sheet-like compact a raw material containing at least a manganese compound and not containing a lithium compound; (B) a first firing step of firing the sheet-like compact formed through the forming step; and (C) a second firing step of firing a mixture of the fired compact obtained through the first firing step and a lithium compound at a temperature lower than the firing temperature employed in the first firing step.