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Technical appendix
The following output quantity indicators are used:
Derivation of university weights The weights in (1) are based on the university’s operating expenditure. For each university the total expenditure is split into three components: teaching , grants , and completions , where the splits , , and can be considered as relative cost proportions within a university with The weights in Eq (1) can be written in the following form for activity , at the university, at time : The weights can be derived in two steps. First, the university’s total expenditure is split using proportions of teaching and research where . The proportion of expenditure on research is estimated using the ratio of academic staff full time equivalent (FTE) in research to total academic staff FTE (). Assume that research only staff () have 100% FTE in research. For academics with a combined role in teaching and research (), assume that fraction of their FTE in research is Total academic staff FTE in research is . The split between research and teaching can be written as In this analysis, 0.25. Second, research expenditure is further split into grants and completions using proportions derived as follows: where and are the relative proportions of funding based on research grant success and completions of research degrees within in a university. In this paper, and are assumed to be constant across the university sector and estimates of these proportions are based on how Australian government allocates block funding to universities for research. There are currently two government funds: the Research Support Program (RSP) and the Research Training Program (RTP). The proportion is estimated as follows. In the recent funding rule, 100% of the RSP is allocated based on universities’ performance in attracting research grant income, while only 50% of the RTP is allocated based on research grant income, with the other 50% based on research degree completions. Using the 2017 funding, and , thus and are estimated to be Calculation of quantity indexes for various components and aggregates (i) Teaching index The teaching index is calculated directly from Eq (1) with : (ii) Grant index The grant index follows from Eq (1) with : Where the second equality holds for constant across the university sector. (iii) Completion index Similar to (8), the completion index can be calculated from Eq (1) with : Where the second equality holds for constant across the university sector. (iv) Research index The research index is calculated as the weighted aggregate of the grant index (8) and completion index (9): where the second equality is a direct consequence of and being constant across the university sector. (v) Total university index A total university index is calculated as aggregate of the teaching index (7) and research index (10): Alternatively, the following aggregate of teaching, grant, and completion leads to the same result as (11): (vi) Annually chained index An annually chained index from to can be constructed from yeartoyear indexes as Document Selection These documents will be presented in a new window.

5900.0.00.003  University output measures in the Australian National Accounts: experimental estimates, 2008 to 2017
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