Hi Show,
I am employed in an
IR area within a state goverenment.
I'd describe 'classification' as that which applies to a position. Within that classification span (lets say 40-46K), there may be multiple increments. Increments would usually, but not always, be based on the employee - ie. number of years. Now the terminology may differ, and sometimes, there isnt an increment ladder within a classification. It might help if you tell us which award/agreement you are working under.
So my answer, based on what you have said is - you might be able to negotiate your increment, but I wouldnt not think you could negotiate the classification. State Governments shouldnt pay above award - and the classification of a position *should* be assessed against Award classification descriptors. If the classification changes - it is a new role, which would be handled via a merit based selection process.
Hope this makes sense?
Todd