Научная статья на тему 'Higher Education Funding Models and Institutional Effectiveness: Empirical Research of European Experience and Russian Trends'

Higher Education Funding Models and Institutional Effectiveness: Empirical Research of European Experience and Russian Trends Текст научной статьи по специальности «Науки об образовании»

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institutional effectiveness / university funding models / formula-based funding / outcomes-based funding / negotiated funding / cluster analysis

Аннотация научной статьи по наукам об образовании, автор научной работы — Elena Chernova, Tite Akhobadze, Aleksandra Malova, Andrey Saltan

World Bank data shows that education accounts for, on average, 13% of government expenditure in the world, effective spending being a priority. Position in international academic rankings has been a universally accepted, yet criticized, criterion of institutional effectiveness. No consistent positive correlation was revealed during research on how the size of government subsidies affected university ranking. Assessment methodology is adjusted to study the influence of public funding mechanisms on university ranking. Three mechanisms are investigated: formula-based funding, outcome-based funding, and negotiated funding. The sample includes 107 European universities from 27 countries. For each of them, information on the funding model (or a combination of models), total annual revenue, proportion of public subsidies, ranking and ranking movements over the last decade is collected. Analysis results are used to group universities into two major categories: low-ranking universities (ranked in the top 200–500), which are mostly funded using formal mechanisms (formulaand outcomes-based funding), and high-rankings universities (the top 100), which largely use the negotiated funding model (either alone or combined with formal models). This confirms previous research findings that the size of government subsidies has no impact on university ranking. A qualitative analysis of higher education funding patterns in Russia is performed. Formalization of all sources of university funding has become a major trend, yet this empirical study demonstrates that prioritization of formal criteria may be ineffective if Russian universities want to reach their ambitious goals of making it to the top 100 in international rankings.

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Текст научной работы на тему «Higher Education Funding Models and Institutional Effectiveness: Empirical Research of European Experience and Russian Trends»

Higher Education Funding Models and Institutional Effectiveness:

Empirical Research of European Experience and Russian Trends

Elena Chernova, Tite Akhobadze, Aleksandra Malova, Andrey Saltan

Received in Elena Chernova

June 2017 Doctor of Sciences in Economics, Professor, Senior Vice-Rector for Economics, St. Petersburg State University. Email: e.chernova@spbu.ru Tite Akhobadze

Candidate of Sciences in Economics, Deputy Head of the Planning and Finance Department, St. Petersburg State University. Email: t.akhobadze@spbu.ru Aleksandra Malova Candidate of Sciences in Economics, Associate Professor, Department of Economic Cybernetics, St. Petersburg State University. Email: a.malova@spbu.ru Andrey Saltan

Candidate of Sciences in Economics, Assistant Professor, Department of Information Systems in Economics, St. Petersburg State University. Email: a.saltan @spbu.ru

Address: 7-9 Universitetskaya Emb., 199034, St. Petersburg, Russian Federation.

Abstract. World Bank data shows that education accounts for, on average, 13% of government expenditure in the world, effective spending being a priority. Position in international academic rankings has been a universally accepted, yet criticized, criterion of institutional effectiveness. No consistent positive correlation was revealed during research on how the size of government subsidies affected university ranking. Assessment methodology is adjusted to study the influence of public funding mechanisms on

university ranking. Three mechanisms are investigated: formula-based funding, outcome-based funding, and negotiated funding. The sample includes 107 European universities from 27 countries. For each of them, information on the funding model (or a combination of models), total annual revenue, proportion of public subsidies, ranking and ranking movements over the last decade is collected. Analysis results are used to group universities into two major categories: low-ranking universities (ranked in the top 200-500), which are mostly funded using formal mechanisms (formula- and outcomes-based funding), and high-rankings universities (the top 100), which largely use the negotiated funding model (either alone or combined with formal models). This confirms previous research findings that the size of government subsidies has no impact on university ranking. A qualitative analysis of higher education funding patterns in Russia is performed. Formalization of all sources of university funding has become a major trend, yet this empirical study demonstrates that prioritization of formal criteria may be ineffective if Russian universities want to reach their ambitious goals of making it to the top 100 in international rankings.

Keywords: institutional effectiveness, university funding models, formula-based funding, outcomes-based funding, negotiated funding, cluster analysis.

DOI: 10.17323/1814-9545-2017-3-37-82

Education, with its ever-growing importance, is undeniably a key resource of economic and social development in today's world. The reason behind this is that education systems, primarily those of universities, make up a part of national innovation systems. Efficient investments in education give rise to new innovative companies that establish the foundations of innovative national economies [Hazelkorn 2015; Salmi, Froumin 2007]. This is why a number of countries have intensified their efforts in designing programs and roadmaps for university development [Satsik 2014].

Russia's higher education system has also been undergoing a modernization recently [Salmi, Froumin 2013]. Presidential Decree No. 599 'On Measures for the Implementation of the National Policy in Education and Science' of May 7, 2012, which set the goal to dramatically enhance the competitive power of leading Russian universities, can be regarded as the pivotal document regulating the vector of reform policies. As soon as the position in world university rankings had been accepted as one of the key criteria of competitive strength, an objective in line with said goal was defined: to propel at least five Russian universities into the top 100 of the major world rankings by 2020. The government is ready to invest sizeable amounts in the development of national education and science, yet spending efficiency remains a great concern, as the fundamental university governance policies have not changed for over 20 years so far.

The existing university rankings are numerous, diverse and based on various methodologies, yet none of them have been immune to criticism by the academic community. The major points of criticism include the structure and weight of ranking criteria as well as the dependence of final values on the size of institution, specific education majors and areas of research [Bongioanni et al. 2014]. Even though individual indicators of university performance cannot be compared directly based on rankings, the latter have become an unavoidable reality of higher education, playing an ever more prominent role for development strategies and funding-related decisions [Amsler, Bols-mann 2012; Goglio 2016]. The Shanghai Academic Ranking of World Universities (ARWU) along with the British Times Higher Education (THE) and Quacquarelli Symonds (QS) World University Rankings, known jointly as THE-QS in 2004-2009, are the most powerful and influential international rankings today. They are used in this article to assess how performance and competitive power of universities change in the present-day market of educational services and academic research.

Formal methodologies of the world university rankings use two major groups of indicators: those related to previous academic merits and those related to current performance. These indicators are expected to illustrate the quality of university governance as a whole, its research and teaching activities, governance mechanisms and structural organization, as well as reflect the institutional aspects of univer-

sity performance, the scope of funding, and the degree of internationalization in research and teaching [Hazelkorn 2015; Aguillo et al. 2010]. All these factors are important for university performance to a varying degree, and management's crucial goal consists in setting priorities, i. e. choosing areas to focus on in order to make the university as effective as possible.

Identifying the critical aspects of university performance is a challenge that has been addressed in many publications [Salmi 2009; Yang, Welch 2012]. Major difficulties that researchers stumble upon include the lack of publicly available information on university activities and the problems arising from comparing available data in an attempt to determine statistically significant correlations (e. g. between the governance system and university ranking). Singularity of each individual university is another factor that hinders drawing conclusions and making inferences [Saisana, d'Hombres, Saltelli 2011].

Differences in funding models are the most relevant factor of diversity when it comes to Russian universities. Back in the Soviet era of a planned and closed national economy, institutions of higher education were primarily financed by the state. The activities of some of them were regulated solely by the Ministry of Education, while others were supervised by both the Ministry of Education and the industry-specific ministry. It was not on a competitive basis but according to a plan that funds were allocated among institutions (or projects within an institution), so spending efficiency was often disregarded when making managerial decisions at various levels [Platonova 2015].

Bearing in mind that a dedicated study [Auranen, Nieminen 2010] found no direct relationship between the size of university funding and its position in a specific ranking, it seems appropriate to focus on on-tological analysis of the existing mechanisms and sources of funding. A modern university is able to attract private-sector investments along with governmental subsidies for its development. However, the proportion of public funding is either about the same size as that of independently raised funds or much larger than that (over 90% in some universities). It is important for the state to understand the volume, methods and conditions of funding to make a particular university as effective as possible [Bolli, Somogyi 2011]. Therefore, this study revolves around the mechanisms of public funding for universities.

In particular, the study seeks to test empirically the correlation between the mechanisms of public funding and university performance expressed as a position in world university rankings.

The article is structured as follows: Chapter 1 describes the sources and models of university funding; Chapter 2 investigates the relationship between university ranking and funding models; Chapter 3 provides an analysis of university funding in Russia; and, finally, Chapter 4 gives a summary of all the findings to draw some conclusions.

These days, university funding models are not just sets of tools to allocate funds among donors and beneficiaries (who may include the government, students or research and teaching staff). They also represent sets of mechanisms to achieve specific goals and maximize outcomes with the existing resource limitations. Where public universities dominate the education and research market (which is true for the majority of countries including Russia), a funding model is the key element of the overall university governance strategy, which traditionally consists of the following:

1. Legal regulation

2. Funding model

3. Public production

4. Communication strategy [Jongbloed 2004]

Some major trends can be identified within the higher education funding reforms that are being implemented today in Europe, Asia and America [Auranen, Nieminen 2010; Nagy, Kovats, Nemeth 2014]:

• Transforming the ways public funds are allocated in the education system. In order to increase the sensitivity of educational institutions to consumer needs, part of the funds is allocated directly to students and companies as government-subsidized loans or tax incentives. In addition, changes are made to the direct institutional support mechanisms (discrimination is made between funding of teaching and research; formula-based funding is getting more widespread; spending efficiency becomes an increasingly important factor of fund allocation).

• Actively introducing new open e-learning technologies efficient in reducing teaching-related expenses. This strategy can bring about an essentially new university model in the long term.

• Diversifying the sources of funding and establishing a partnership with the business community, research centers and NGOs. A direct correlation is thus formed between university performance and the amount of private funds attracted. Co-funding gives more financial management autonomy to institutions and improves the quality of public fund spending due to double auditing procedures. Once granted autonomy, universities can attract external funds from business communities in financial markets, render supplementary and business education services, and customize contracts for individual teachers and researchers.

Hence, educational activities are financed today from the following sources:

1. Government subsidies (allocated by federal and municipal governments);

1. Models and sources of university funding

Figure 1. The structure of university funding in Europe

IS

NO

DK

DE-NRW

DE-HE

DE-BB

SE

HU

FR

CH

PL

Public funding ES

Revenues coming CZ

from student BE-FL

contributions SK

Additional funding FI

AT

Note: Country abbre- RO

viations are given in PT

Appendix 1. IT

EE

Source: [Estermann, NL

Pruvot, Claeys-Kulik IE

2015]). UK-EN

0 20 40 60 80 100 %

2. Tuition and proceeds from education-related services (sale of study guides, accommodation services, etc.);

3. Funds received from businesses: payments for advanced training programs and individual trainings for current and prospective employees; scholarships for students that may imply a student's obligation to work for the company for some time after graduation; etc.;

4. Donations, sponsor support, endowed professorship, and other types of nonrefundable investment in education by companies and individuals;

5. System of vouchers and other governmental mechanisms of student finance (examples in Russia include maternity allowance and tax credits);

6. Other external sources of finance, such as grants from nonprofit organizations or loans;

7. Self-funding (revenues from non-core activities, such as publishing, telecommunication services, etc.);

8. Student loans.

Public grants constitute the major part of university funding in most European countries (Fig.1).

All sources of university funding except government subsidies have their own institutional mechanisms to control the efficiency of fund allocation, which often do not need to be formalized. It is public funding mechanisms whose efficiency has yet to be assessed.

Studies conducted by Thomas Estermann and Terhi Nokkala [Estermann, Nokkala 2009; Estermann, Nokkala, Steinel 2011] as well as the DEFINE Project [Estermann, Pruvot, Claeys-Kulik 2015] identify the following mechanisms of public fund allocation:

9. Public grants:

• performance-based funding;

• formula-based funding (input- and output-based models);

• Negotiation (amount determined on a historical basis).

10. Project-based funding

11. Funding for excellence

12. Other types of direct and targeted funding

This study investigates the mechanisms of public funding.

Funding formula is understood as an algorithm to calculate the size of university funding using a mathematical formula. Formula variables include student population, publication performance, and other indicators. Variables are based on retrospective data (e. g. for the last year). The mechanism seeks to ensure transparency in funding justification and to bind the size of funding with measurable indicators. This funding model allows for taking into account temporal changes, such as those in the size of faculty or in the student or graduate population.

Performance contracts between a university and a public authority specify target performance indicators that the university undertakes to achieve by receiving the required amount of funding. This funding mechanism allows for structuring the dialogue between universities and public authorities, thus increasing funding transparency, as well as helping to design the strategy for university development. Unlike funding formula, the performance-based model uses prospective indicators, thus guiding universities into predetermined lines of development.

Goals to be achieved by universities under performance contracts may either be specific to the institution and consistent with its strategy to a greater or lesser extent, or result from more generalized goals of higher education and national research policies. Target indicators can be described as outcomes that should be achieved while leaving the university free to choose any specific measures to be taken within the agreed period of time. Goals may be either qualitative (e. g. promote equal access of men and women to leading academic positions) or quantitative (e. g. increase the proportion of female professors), very much like indicators in formula-based funding. Performance assessment procedures differ depending on the type of goals and objectives

and may imply either discussion between the government and university or, at other times, the collection of relevant statistics.

Negotiated funding suggests that the amount of funding has been determined historically and embraces all kinds of informal negotiation mechanisms that are used to obtain funding. On the one hand, this funding mechanism is the most obscure of all; on the other hand, allowance can be made for nearly all university characteristics, in particular university reputation, which is hard to quantify and thus cannot be included in the other two models.

The mechanisms described above can be applied to funding of both teaching and research activities. The funding models may be used separately or in combination, where one is primary and the other is secondary.

Further on, this study will dwell on the funding models and types of their combinations used in European universities, as well as on the relationship between using those mechanisms and university ranking.

2. Relationship between funding model and university position in world rankings 2.1. Research data

The following data was used to test empirically the hypothesis on the relationship between models and sources of university funding, on the one hand, and university ranking, on the other:

1. Results of the DEFINE (Designing Strategies for Efficient Funding of Universities in Europe) Project, run by the European University Association. The survey involved European countries and produced an extensive overview of funding models used in universities of each participant country as well as recommendations for university management.

2. Academic Ranking of World Universities (ARWU) 2003-2014. Unlike the other two rankings (THE and QS), this one uses objective indicators calculated based on data from official sources. As this study aims to assess the impact of specific funding mechanisms on university ranking, dynamic data on university ranking was used instead of last year's static indicators. The study is premised on the assumption that higher education funding mechanisms underwent no significant change between 2003 and 2014. Feasibility of this assumption is confirmed by the fact that results of the DEFINE Project, launched in 2007, were not published until 2015.

3. Statistics on university activities: total funding, proportion of public grants (separately for teaching and research, where applicable), student population, faculty size, etc.

The sample is restricted to universities of the European Union and Russia. More reliable findings will require including countries of North and South America, Australia, Middle and Far East, too. However, a larger-scale research is currently impossible due to the absence of systematized information on the models and mechanisms of higher education funding used in those countries.

2.2. Research The study is built around analyzing how funding model and other unidesign versity operation parameters correlate with university ranking. Research is based on the DEFINE Project, which analyzes the existing mechanisms of university funding in Europe as well as possible ways of increasing their efficiency [Pruvot, Claeys-Kulik, Estermann 2015]. The project was prompted by the crisis of 2008-2009. Back then, public grants—the main source of higher education funding—reduced in many European countries, putting steady university development under threat and introducing the need to seek out new sources of revenue and increase spending efficiency. Therefore, enhancing the finance policies in higher education became the paramount goal of the DEFINE Project.

The DEFINE Project involved 28 European countries and individual regions (Appendix 1). This study only uses DEFINE data on the countries that were ranked in the ARWU Ranking between 2003 and 2014, meaning that at least one university in the country was part of the ranking throughout the specified period or became as such within that period and was still in the ranking in 2014. As a result, the initial sample included 205 universities (see Appendix 2 for the complete list) from Austria, Belgium, Czech Republic, Denmark, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Netherlands, Norway, Poland, Portugal, Serbia, Slovenia, Spain, Sweden, Switzerland, and Great Britain.

Because the DEFINE survey did not include all the EU countries and some of the countries were represented by their autonomous regions (Spain by Catalonia, Germany by North Rhine-Westphalia, Hesse and Brandenburg, and Great Britain by England only), some ARWU-ranked European universities were also excluded from the analysis. The final sample consisted of 157 European universities and two Russian ones (not included in the first study phase).

The following information was collected for each of the 157 European universities in the sample:

• Total funding

• Proportion of public grants

• Size of grants for teaching and research

• Amount of third-party research funding

• Tuition

• Student population

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• Faculty size and proportion of research staff

• Availability of excellence centers and excellence initiatives

Information was obtained from materials posted on universities' official websites over the last year (mostly 2013/14, but some universities only provided data on the academic year 2011/12). In cases where some of the required data (e. g. financial records) was unavailable, the relevant university was excluded from the analysis. The sample shrank to 107 universities after the data collection phase.

The data obtained was unified to ensure comparability: financial indicators were converted from national currencies (for Czech Republic, Denmark, Sweden, Norway, Switzerland and England) into euros based on the European Central Bank's reference rates1 over the relevant financial year. The resulting data was used to calculate some basic university funding indicators: total funding; total funding per student; total funding per faculty member; proportion of public grants in total funding; proportion of research grants in total public funding; proportion of teaching grants in total public funding; proportion of third-party research grants in total funding; and proportion of tuition revenues in total funding.

The DEFINE Project associated each university with a specific national (or regional) model of teaching and research funding, which was described by six variables: funding formula for teaching; performance contracts for teaching; negotiations for teaching; funding formula for research; performance contracts for research; and negotiations for research.

Each university was assigned an index according to its ARWU ranking: "1" for the top 100, "2" for positions 101-200, "3" for positions 201-300, etc. Additional variable showed university ranking movements between 2003 and 2015: "1" for moving up, "0" for retaining the position, and "-1" for moving down the ranking.

As a result, three sets of data were provided for each university:

1. University funding models are contingent on the country and described by the following variables:

a. a. Funding formula for teaching (FFT)

b. Performance contracts for teaching (PCT)

c. Negotiations for teaching (NT)

d. Funding formula for research (FFR)

e. Performance contracts for research (PCR)

f. Negotiations for research (NR)

2. The size of university funding is described by the following variables:

a. Total funding per student (mln euros)

b. Total funding per faculty member (mln euros)

c. Total funding (mln euros)

d. Proportion of public grants in total funding

e. Proportion of research grants in total public funding

f. Proportion of teaching grants in total public funding

g. Proportion of third-party research grants in total funding

h. Proportion of tuition revenues in total funding

3. University ranking is described by the following variables:

1 https://www.ecb.europa.eu/stats/exchange/eurofxref/html/index.en.html Voprosy obrazovaniya / Educational Studies Moscow. 2017. No 3. P. 37-82

Table 1. Description of the specifications tested during cluster analysis

Specification # Variables involved Observations used

1 Proportion of public grants (Gov_share), university funding model (FFT, PCT, NT, FFR, PCR, NR), and university ranking (Rat_fin_year) All / w/o Great Britain

2 University funding model (FFT, PCT, NT, FFR, PCR, NR) and university ranking (Rat_fin_year)

3 Proportion of public grants (Gov_share), research funding model (FFR, PCR, NR), and university ranking (Rat_fin_year)

4 Teaching funding model (FFR, PCR, NR) and university ranking (Rat_fin_year)

a. University ranking during the financial year

b. University ranking movements

The universities were divided into groups based on the funding models they used and the proportion of public grants in order to test the relationship between the size and mechanism of public funding and university ranking. Various modifications of cluster analysis procedures were used. Data was analyzed using the IBM SPSS Statistics 20.0 tool. The base specification included variables describing funding models for both teaching and research as well as university ranking. Additional variables described the size of university funding. The variables describing university funding models were reduced to research funding models: the ARWU Ranking does not assess teaching quality, so teaching funding models may be irrelevant to university ranking.

Examples of the abovementioned specifications are given in Table 1, where the size of university funding is represented by the proportion of public grants. Specifications with other funding variables were also tested.

2.3. Empirical In general, correlations between funding model and university rank-findings ing were revealed as various specifications were tested. Specifications that assessed the size of university funding in one form or another were inferior to those that only analyzed university ranking positions and funding models. The analysis produced three clusters, which are described in Tables 2 and 3.

The first cluster mostly consists of the top 100 universities. It also includes some universities with other indexes, but their proportions are considerably lower. Institutions in this category normally use negotiations for research as their primary funding mechanism, whereas funding formula for research is mostly used as the secondary model and performance contracts are not used at all. Teaching in this cat-

Table 2. Clustering

Note: 1 indicates that the funding mechanism is used as primary; 2 indicates that the funding mechanism is used as secondary; 0 indicates that the funding mechanism is not used. Digits in round brackets indicate that some universities within the cluster (a minor part) use the funding mechanism differently.

Table 3. Descriptive characteristics of the clusters

Indicator ! Cluster Value ! 1 Cluster 2 Cluster 3

Centers of excellence (%) No j 44 56 39

Yes i 56 44 61

Ranking movements (%) Down i 7 11 29

None ! 74 53 50

Up ! 19 36 21

Amount of funding (mln euros) Total funding per student ; 0.03 0.02 0.018

Total funding per faculty member j 0.18 0.21 0.20

Total funding ! 704.7 540.7 317.6

Public funding per student ; 0.02 0.01 0.009

Proportions of selected sources in total funding (%) Public grants in total funding I 60 49 49

Public grants for research in total public funding j 55 48 50

Public grants for teaching in total public funding j 45 52 50

Third-party research grants in total funding j 33 24 20

Tuition revenues in total funding i 24 28 36

criteria

Variable Cluster 1 Cluster 2 Cluster 3

Observations in the cluster 43 36 28

Teaching funding Funding formula 1 (2) 1 1

Performance contracts 0 2 2

Negotiations 0 (1) 0 (1;2) 0

Research funding Funding formula 2(1) 1 1

Performance contracts 0 2 2

Negotiations 1 (0) 2 (0) 0

University ranking Top 100 47% 11% 0%

101-200 19% 64% 0%

201-300 21% 17% 29%

301-400 14% 8% 21%

401-500 0% 0% 50%

egory is mainly subject to formula-based funding and partly funded through negotiations. The second cluster mostly includes universities ranked 101-200, which largely use formalized funding mechanisms, namely funding formula as the primary mechanism and performance contracts as the secondary one. They either use negotiations as their secondary mechanism or do not use them at all. The third cluster consists of universities ranked 201-500. These never use negotiations and rely heavily on formal funding models. The specified differences between the clusters are statistically significant, the results being tested using Pearson's chi-squared test. The test results, the breakdown of observations by clusters and their description are given in Appendices 4 and 5.

No firm conclusion can be drawn based on cluster analysis by such parameters as university ranking movements or availability of centers of excellence as to whether these indicators correlate somehow with funding mechanisms. Although the clusters differ statistically significantly in the size of funding, no relationship is revealed between the amount of public grants and university ranking. The mechanisms of public funding proper are thus what appears to be a more important factor.

These results allow for a conclusion that universities using negotiations in addition to formal funding procedures are ranked higher by ARWU.

3. Characteristics Global trends of information integration that have intensified greatly of university over the last decade following the telecommunications boom require funding in Russia Russian authorities to focus on improving the international competitiveness of Russian education. Enhancement of education finance systems is the key prerequisite for such improvement. Educational institutions are largely heterogeneous both in their administrative organization and availability of materials and resources, so promoting internal competition in conditions of publicity, transparency and objectivity was expected to produce maximum positive effects.

A competitive academic environment in Russia is created by introducing normative per capita funding, which suggests that universities are granted public funds proportionally to the population of government-funded students. The latter is estimated using admission quotas in compliance with stipulated standard costs of education. Admission quotas are distributed on a competitive basis in accordance with the Ministry of Education and Science, which implies comparing requests from educational institutions. Such requests contain indicators of university potential in specific domains or majors (or categories of domains or majors) that are assessed during selection. The overall amount of admission quotas is agreed upon in advance by supervising authorities (ministries and associations), which design policies for every domain or major and suggest solutions on the structure

of admission quotas for every subject of the Russian Federation. The standard cost of an educational service is estimated by applying region- and industry-specific correction coefficients of individual institutions to the unified base standard cost of this service. The approved list of coefficients and their values predetermines quite a vast range of normative price deviations for the same educational service between universities. Greater relative public support is enjoyed by universities that perform better in the indicators assessed: the average USE (Unified State Examination) score of students admitted to the major or department; the amount of revenues from research and development per faculty member; the number of publications in journals indexed in Web of Science and Scopus per 100 faculty members; etc.

As a result of the budget reform (transition to program-based budgeting), public funding of Russian universities is essentially based on indirect formalization of the results of bidding procedures under the national 'Education Development for 2013-2020' program in the form of individual subprograms and initiatives segmented by different types of activities. Bidding results are recorded in quarterly budget breakdowns. Apart from targeting expenditures, assigning fixed responsibilities and verifying congruence of goals, objectives and indicators, the structure of such breakdowns, together with the Ministry of Education and Science's recommended practices for determining standard costs associated with education program implementation, is designed both to extend the analytical potential of supervising ministries and to ensure system responsiveness to changes in the strategic vector of national policies (by adjusting priority schemes, public funding mechanisms, etc.).

An increase in the analytical potential naturally leads to comparing individual indicators of university performance with a view to identifying institutions below threshold values and applying organizational and administrative measures to them. This phase of the education reform is formalized in the national monitoring of public educational institutions, the results of which serve as the basis for possible reorganization. Despite criticism from NGOs and the expert community— mostly regarding the lack of unbiased decisions—systematic monitoring has amplified the control of university management over certain university sectors and inspired many of the innovative solutions.

Unfortunately, the improvements in governance efficiency achieved at the level of individual universities have not been fully extended to the national Education Development 2013-2020 program as a whole. System responsiveness is obstructed by bureaucratic processes, mostly delays in the approval of amendments to national programs (including the initiative funding chapter) by the Ministry of Economic Development and the Ministry of Finance and in the publication of relevant governmental acts and regulations. As a result, the implementation lag takes about a year, which is unacceptable in the unstable macroeconomic conditions.

Figure 2. Changes in the rough structure of university funding between 2012 and 2015.

Public funding Nonpublic funding

Source: http://bus. gov.ru

2012 57,6 42,4

2013 60,7 39,3

2014 62,7 37,3

2015 63,5 36,5

%

The dramatic decrease in public funding became the main mac-roeconomic factor to directly affect the financial standing of universities. Spending in such vital areas as overhaul, student allowances and investments has been cut following the two rounds of 10% sequestration carried out by the Russian government over the last two years. Furthermore, funding for education programs was reduced too, as public grants for universities were revised using the standard cost methodology.

Cuts in public funding are accompanied by a decreasing effective demand from Russian consumers for educational services, caused by the drop in their purchasing power as well as by the "demographic trough" of the 1990s and its anticipated effects. The reduction in funding for university research—this expenditure item was forced out by the costs of daily needs—does not allow for covering the cash deficit at the expense of income-generating activities. This is proved by universities' financial results (Fig. 2) indicated in their business plans. In this situation, Russian universities have to raise prices for their educational services, switching from competitive pricing (maximizing enrolment rates) to the prohibitive policy (maximizing costs). Given the global reach of the impact factors, such response is virtually ubiquitous, putting prospective students in a situation identical to price fixing.

These circumstances generate a sharp rise in the competition between universities for students from far-abroad countries, whose purchasing power has skyrocketed with the slump of ruble.

In order to keep to the schedule of getting Russian universities into the top 100 of the world rankings—stipulated by Section V of the Action Plan "Changes in Social Industries Designed to Increase Efficiency in Education and Science"2—the Ministry of Education and Science included resource concentration into the concept of normative per capita funding, meaning that relative volumes of funding are increased for universities that are likely to get into or move up the world rankings. With this in mind, activity characteristics of such universities were made a priority when devising multiplying factors to apply to the base funding rates.

2 Approved by the Resolution of the Government of the Russian Federation No. 2620^ of December 30, 2012.

As a result of these reforms, public grants allocated under government contracts with the universities included in major rankings increased by more than 20% from 20133 to 2016. Besides, the most promising universities are offered additional government funding under Project 5-100 implemented in compliance with the Order of the Government of the Russian Federation No. 2006-p of October 29, 2012. These are targeted subsidies granted to winners of the university development program tender carried out under the auspices of the Council on Competitiveness Enhancement of Leading Russian Universities among Global Research and Education Centers. The size of subsidies is revised annually depending on the outcomes achieved.

Resource concentration was expected to promote qualitative transformation of the existing performance standards followed by selected universities into a local equivalent of the most advanced foreign models, which would boost their rise up the rankings. Unfortunately, not all the financial incentives had a positive effect. The movements of Russian universities in the QS Rankings (see Appendix 3)4 in 20132016 (seven rose, six fell, and eight retained their positions) do not go beyond statistical deviations. There is almost no correlation between intensified funding in the form of targeted government subsidies and university ranking. For instance, Kazan (Volga Region) Federal University rose from the 601-650 category up to 551-600 despite the 358 mln ruble cut in subsidies, whereas Ural Federal University, named after the first President of Russia B. N.Yeltsin, slipped down from 501550 to 601-650 even though it had been granted an additional 227 mln rubles. Thus, a considerable increase in funding did not entail better ranking positions for a number of universities, including the National Research University Higher School of Economics (HSE) and Southern Federal University.

Between 2013 and 2015, only 13 Russian universities improved their positions in the QSBRICS Ranking (see Appendix 4), where Russian universities are represented better than in the QS Rankings (58 positions as compared to 21), while 25 institutions moved down and 20 remained where they were. Such a degradation of the situation, not least induced by exogenous political and economic factors, discredits somewhat the concept of normative funding for universities, given that no other significant institutional transformations affected the education system during that period. Apparently, the normative approach to higher education funding is not the best option at the time of global social transformations.

The effects of additional competitive grants look more reassuring. According to the most recent report of the Ministry of Education and

3 The year of completing the transition to normative per capita funding of universities beyond governmental jurisdiction.

4 http://studyinrussia.ru/why-russia/world-university-rankings/qs/

Science5, the number of Russian universities in the QS World University Rankings increased over the last few years (up to 24 in 2017) due to the increase in the number of Project 5-100 participants that received competitive targeted grants (from 9 in 2012 to 15 in 2017). Putting aside qualitative analysis of the changes in technical indicators (faculty-student ratio first of all) responsible for this growth, it can be safely stated that direct competitive funding algorithms based on the performance of specific goals look more preferable than normative funding models.

There is certain conceptual congruence between the key university funding models in Russia and abroad. For example, subsidies under government contracts bear the hallmarks of formula-based funding, while targeted grants for the implementation of development programs (implying achievement of predetermined indicator values) can be interpreted as an equivalent of performance contracts. Meanwhile, the proportion of negotiations when allocating targeted grants is higher in Russia due to the absence of intermediate decision-making elements that distort original arrangements as they are put into practice.

Given the high volatility in all spheres of state life (including business and law), negotiated funding appears to be the most viable model. This algorithm suggests that the size of university funding for a planning period is determined based on thorough and comprehensive assessment of all aspects of university life and subsequent comparison to the respective indicators of other applicants, using budget data of the previous period as a reference. The rigid formula-based system that underlies the existing concept of normative per capita funding will only be able to provide a similar level of flexibility and responsiveness if there is a powerful statistical framework and an elaborated methodology of determining the key indicative criteria, which amount to dozens. Unfortunately, procedures necessary to gather and process the required amount of data are only being introduced in Russia. An important step in this direction was made as the Ministry of Education and Science systematized universities' analytical reporting processes and designed new single-entry templates.

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4. Conclusion and States are ready to invest sizeable amounts into universities. Howev-avenues for further er, it is important to monitor efficiency of university activities in gener-research al and spending in particular. University ranking has been universally accepted as a metric of university performance. Meanwhile, empirical research reveals no consistent positive correlation between the size of funding and university ranking. This study attempts to probe the relationship between university ranking movements and the funding mechanism, not the amount of funding. Cluster analysis reveals that

5 http://5top100.ru/news/58610/

universities funded through negotiations, in addition to formal models (funding formula and performance contracts), show better performance in the rankings. Nonetheless, no correlation is found between the size of public grants and university ranking; the mechanism of public funding appears to be a more important factor.

Characteristics of public funding for Russian universities have been analyzed in the context of global experience findings using the example of institutions that see improving their world ranking positions as a strategic priority. Combinations of formula- and performance-based mechanisms have been found to prevail in public funding of universities, which echoes the policies pursued by universities from the second cluster in the international part of the study.

In the light of the data obtained on the sample of European universities—indicating that universities using negotiated funding mechanisms along with formal models are ranked higher (first cluster)— hopeful prospects for Russian institutions are offered by the promotion of new formats and types of funding that imply extended use of negotiations. Advisability of negotiated funding is confirmed by the specific conditions in which Russian universities exist, having to achieve extremely ambitious goals while facing severe resource limitations. Under these circumstances, it would be unwise to rely on cliched patterns to establish a well-functioning, long-lasting system of cross-institution interaction.

In summary, the overarching goal faced by Russian higher education today consists in creating an innovative conception of public funding for leading universities that will be premised on the negotiations approach and not restricted to mechanically reallocating the resource potential in favor of individual educational institutions under the pretence of growth point generation. A separate study is proposed to design the methodological framework for this conception.

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Appendix 1.

The list of countries involved in cluster analysis

AT — Austria BE-FL — Flanders in Belgium BE-FR — French speaking community in Belgium CH — Switzerland CZ — Czech Republic DE-BB — Brandenburg in Germany DE-HE — Hesse in Germany DE-NRW— North Rhine — Westphalia in Germany DK — Denmark EE — Estonia ES-CA — Catalonia in Spain FI — Finland FR — France

HU — Hungary IE — Ireland IS — Iceland IT — Italy LT — Lithuania LV — Latvia NL — Netherlands NO — Norway PL — Poland PT — Portugal RO — Romania SE — Sweden SK — Slovakia TR — Turkey UK-EN — England in United Kingdom

Appendix 2.

The list of universities included in and excluded from the analysis

# University Country DEFINE country code Included in the analysis

1 University of Vienna Austria AT +

2 Medical University of Vienna +

3 University of Innsbruck +

4 Medical University of Graz +

5 University of Graz +

6 Vienna University of Technology +

7 Ghent University Belgium BE-FL +

8 Catholic University of Leuven +

9 University Libre Bruxelles BE-FR +

10 Catholic University of Louvain +

11 Vrije University Brussel BE-FL +

12 University of Liege BE-FR +

# University Country DEFINE country code Included in the analysis

13 University of Antwerp Belgium BE-FL +

14 Charles University in Prague Czech CZ +

15 University of Copenhagen Denmark DK +

16 Aarhus University +

17 Technical University of Denmark +

18 University of Southern Denmark +

19 Aalborg University +

20 University of Helsinki Finland FI +

21 University of Oulu +

22 University of Turku +

23 Aalto University +

24 University of Eastern Finland +

25 University of Jyvaskyla ; i +

26 Pierre and Marie Curie University — Paris 6 France FR +

27 University of Paris Sud (Paris 11) +

28 Ecole Normale Superieure — Paris +

29 University of Strasbourg +

30 University of the Mediterranean (Aix-Mar-seille 2) +

31 University of Paris Diderot (Paris 7) +

32 Joseph Fourier University (Grenoble 1) +

33 University of Paris Descartes (Paris 5) +

34 Claude Bernard University Lyon 1 +

35 Ecole Normale Superieure — Lyon +

36 Paul Sabatier University (Toulouse 3) +

37 University of Bordeaux 1 +

38 University of Lorraine +

39 University of Montpellier 2 +

40 Ecole Polytechnique +

41 ESPCI ParisTech +

42 University of Paris Dauphine (Paris 9) +

43 MINES ParisTech +

44 University of Auvergne +

45 University of Nice Sophia Antipolis +

# University Country DEFINE country code Included in the analysis

4б University of Rennes 1 France FR +

47 University of Heidelberg Germany DE -

48 Technical University Munich -

49 University of Munich -

50 University of Bonn DE-NRW +

51 University of Frankfurt DE-HE +

52 University of Freiburg DE -

5З University of Göttingen DE -

54 University of Münster DE-NRW +

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55 University of Hamburg DE -

5б University of Kiel DE -

57 University of Koeln DE-NRW +

58 University of Tübingen DE -

59 University of Würzburg -

б0 University of Karlsruhe -

б1 RWTH Aachen University DE-NRW +

б2 Dresden University of Technology DE -

бЗ University of Erlangen-Nuremberg -

б4 University of Leipzig -

б5 University of Mainz -

бб University of Marburg DE-HE +

б7 University of Stuttgart DE -

б8 Hannover Medical School -

б9 Technical University of Berlin -

70 University of Bochum DE-NRW +

71 University of Düsseldorf DE -

72 University of Duisburg-Essen DE-NRW +

7З University of Giessen DE-HE +

74 University of Ulm DE -

75 University of Bielefeld DE-NRW +

7б Technical University Darmstadt DE-HE +

77 Technical University of Braunschweig DE -

78 University of Bayreuth -

79 University of Bremen -

# University Country DEFINE country code Included in the analysis

80 University of Halle-Wittenberg Germany DE -

81 University of Hannover -

82 University of Jena -

83 University of Konstanz -

84 University of Regensburg -

85 University of Rostock -

86 National and Kapodistrian University of Athens Greece GR +

87 Aristotle University of Thessaloniki +

88 Eotvos Lorand University Hungary HU +

89 University of Szeged +

90 Trinity College Dublin Ireland IE +

91 University College Dublin +

92 University College Cork +

93 University of Roma — La Sapienza Italy IT +

94 University of Milan +

95 University of Padua +

96 University of Pisa +

97 University of Turin +

98 Polytechnic Institute of Milan +

99 University of Bologna +

100 University of Florence +

101 Scuola Normale Superiore — Pisa +

102 University of Naples Federico II +

103 Catholic University of the Sacred Heart +

104 University of Ferrara +

105 University of Genoa +

106 University of Milan — Bicocca +

107 University of Palermo +

108 University of Parma +

109 University of Pavia +

110 University of Perugia +

111 University of Roma — Tor Vergata +

112 University of Trieste +

# I University Country DEFINE country code Included in the analysis

113 1 Utrecht University Netherlands NL +

114 I University of Groningen +

115 I Leiden University +

116 I VU University Amsterdam +

117 I Radboud University Nijmegen +

118 I University of Amsterdam +

119 I University of Wageningen +

120 I Erasmus University +

121 I Delft University of Technology +

122 I University of Maastricht +

123 I Eindhoven University of Technology +

124 ! University of Twente +

125 I University of Oslo Norway NO +

126 i Norwegian University of Science i and Technology +

127 i University of Bergen +

128 i Jagiellonian University Poland PL +

129 i University of Warsaw +

130 i University of Lisbon Portugal PT +

131 i University of Porto +

132 i University of Coimbra +

133 i Moscow State University Russia — Не на всех этапах

134 i Saint Petersburg State University

135 I University of Belgrade Serbia -

136 I University of Ljubljana Slovenia —

137 1 University of Barcelona Spain ES-CA +

138 i Autonomous University of Barcelona +

139 i Autonomous University of Madrid ES -

140 i Complutense University of Madrid -

141 i University of Pompeu Fabra ES-CA +

142 i Polytechnic University of Valencia ES -

143 i University of Granada -

144 I University of Valencia -

# University Country DEFINE country code Included in the analysis

145 Polytechnic University of Catalonia Spain ES-CA +

146 University of Santiago Compostela ES -

147 University of Seville -

148 University of the Basque Country -

149 University of Zaragoza -

150 Karolinska Institute Sweden SE +

151 Uppsala University +

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152 Stockholm University +

153 Lund University +

154 University of Gothenburg +

155 Royal Institute of Technology +

156 Swedish University of Agricultural Sciences Sweden SE +

157 Chalmers University of Technology +

158 Linkoping University +

159 Umea University +

160 Stockholm School of Economics +

161 Swiss Federal Institute of Technology Zurich Switzerland CH +

162 University of Zurich +

163 University of Geneva +

164 University of Basel +

165 Swiss Federal Institute of Technology of Lausanne +

166 University of Bern +

167 University of Lausanne +

168 Istanbul University Turkey TR +

169 University of Cambridge UK UK-EN +

170 University of Oxford +

171 University College London +

172 The Imperial College of Science, Technology and Medicine +

173 The University of Manchester +

174 The University of Edinburgh UK -

175 King's College London UK-EN +

# University Country DEFINE country code Included in the analysis

176 University of Bristol UK +

177 University of Warwick +

178 London School of Economics and Political Science +

179 The University of Glasgow UK -

180 The University of Sheffield UK-EN +

181 University of Birmingham +

182 University of Leeds +

183 University of Liverpool +

184 University of Nottingham +

185 University of Southampton +

186 Cardiff University UK-EN +

187 Queen Mary, University of London +

188 University of Exeter +

189 University of Sussex +

190 Newcastle University +

191 The University of Dundee UK -

192 University of Aberdeen -

193 University of East Anglia UK-EN +

194 University of Leicester +

195 University of York +

196 Lancaster University +

197 London School of Hygiene and Tropical Medicine +

198 Queen's University Belfast UK -

199 The University of Reading UK-EN +

200 University of St Andrews UK -

201 Brunel University UK-EN +

202 University of Bath +

203 University of Essex +

204 University of Surrey +

Appendix 3. Russian universities in the QS World University Rankings and sources of their funding

# University Period Government contracts Other sources of funding Proportion of public grants

2012/2013 2013/2014 2014/2015 2015/2016 2013 2015 2013 2015 2013 2015

1 Lomonosov Moscow State University 116 120 114 108 9,633,204,100 10,767,125,300 9,377,234,910 13,412,680,983 50.7 44.5%

2 Saint Petersburg State University 253 240 233 256 6,893,830,600 5,953,167,300 5,787,655,931 4,831,998,317 54.4 44.5%

3 Bauman Moscow State Technical University 352 334 322 338 5,176,404,900 6,100,029,900 7,675,403,072 6,214,721,248 40.3 55.2%

4 Novosibirsk State University 371 352 328 317 870,851,800 1,301,321,356 3,507,962,988 3,038,763,150 19.9 49.5%

5 Moscow State Institute of International Relations (University) run by the Ministry of Foreign Affairs of Russia 367 386 399 397 708,585,400 744,633,500 1,759,363,600 2,311,949,499 28.7 30.0%

6 Moscow Institute of Physics and Technology — 441-450 411-420 431-440 996,848,900 2,554,528,900 2,850,320,942 3,263,685,796 25.9 24.4%

7 Peoples' Friendship University of Russia 501-550 491-500 471-480 601-650 1,850,449,200 1,702,519,900 3,835,681,068 6,096,668,042 32.5 43.9%

8 National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) — — 481-190 501-550 2,754,966,500 3,526,147,400 5,971,333,820 4,536,167,944 31.6 21.8%

9 Peter the Great St. Petersburg Polytechnic University — 451-460 481-490 471-480 2,632,643,100 3,303,313,700 4,818,382,300 4,484,481,691 35.3 43.7%

10 National Research Tomsk State University 551-600 551-600 491-500 481-490 1,665,981,500 2,700,990,900 2,758,751,366 2,871,126,124 37.7 42.4%

11 National Research University Higher School of Economics 501-550 501-550 501-550 501-550 5,522,833,900 6,611,898,300 10,139,126,642 11,701,853,600 35.3 48.5%

12 Tomsk Polytechnic University 601+ 551-600 501-550 481-490 3,156,467,601 3,831,017,400 4,037,704,022 4,819,075,097 43.9 36.1%

13 Kazan (Volga Region) Federal University 601+ 601-650 551-600 551-600 3,982,437,900 3,623,989,100 4,087,323,830 4,668,284,478 49.4 44.3%

14 Ural Federal University named after the first President of Russia B. N. Yeltsin 451-500 501-550 551-600 601-650 3,409,739,400 3,636,428,900 5,064,912,752 4,923,086,592 40.2 43.7%

15 Saratov State University — — 601-650 601-650 975,850,900 1,136,674,200 844,521,819 952,731,267 53.6 42.5%

16 Southern Federal University — 601-650 601-650 601-650 2,297,270,100 2,875,601,200 3,004,536,889 2,926,342,175 43.3 54.4%

17 Far Eastern Federal University 601+ 701+ 701+ 651-700 5,257,960,700 6,559,616,100 3,636,026,985 4,808,476,321 59.1 49.6%

18 Lobachevsky State University of Nizhni Novgorod (Lobachevsky University) 601+ 701+ 701+ 701+ 1,119,985,800 1,654,131,900 3,289,176,069 3,353,197,687 25.4 57.7%

19 National University of Science and Technology "MISiS" — — 701+ 701+ 772,380,200 3,752,798,700 3,401,992,389 3,401,271,093 18.5 33.0%

20 Plekhanov Russian University of Economics 601+ 701+ 701+ 701+ H/fl 126,161,077 H/fl 326,272,099 — 52.5%

21 Voronezh State University — 701+ 701+ 701+ H/fl H/fl H/fl H/fl — 27.9%

Voprosy obrazovaniya / Educational Studies Moscow. 2017. No 3. P. 37-82

Appendix 4. Russian universities in the QS BRICS Rankings

# University Period

2012/2013 2013/2014 2014/2015 2015/2016

1 Lomonosov Moscow State University 3 3 4 7

2 Saint Petersburg State University 14 12 15 20

3 Bauman Moscow State Technical University 33 36 35 38

4 Novosibirsk State University 22 18 19 20

5 Moscow State Institute of International Relations (University) run by the Ministry of Foreign Affairs of Russia 37 35 39 44

6 Moscow Institute of Physics and Technology 55 52 45 48

7 Peoples' Friendship University of Russia 86 82 84 99

8 National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) 65 57 51 50

9 Peter the Great St. Petersburg Polytechnic University 47 47 60 61

10 National Research Tomsk State University 58 47 44 43

11 National Research University Higher School of Economics 50 58 63 62

12 National Research Tomsk Polytechnic University 71 67 64 64

13 Kazan (Volga Region) Federal University 79 69 72 74

14 Ural Federal University named after the first President of Russia B. N. Yeltsin 84 80 77 78

15 Saratov State University - 121-130 121-130 151-200

16 Southern Federal University 89 85 81 85

17 Far Eastern Federal University 99 100 98 94

18 Lobachevsky State University of Nizhni Novgorod (Lobachevsky University) 74 72 86 76

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19 National University of Science and Technology "MISiS" - 98 89 87

20 Plekhanov Russian University of Economics - 100 91 90

21 Voronezh State University 91 90 111-120 111-120

22 Moscow Power Engineering Institute 97 101-110 121-130 111-120

23 ITMO University - 111-120 99 101-110

24 Perm State University - 111-120 111-120 131-140

25 Tomsk State University of Control Systems and Radioelectronics - 111-120 121-130 141-150

26 Gubkin Russian State University of Oil and Gas - 121-130 121-130 151-200

27 Mendeleev University of Chemical Technology of Russia - 121-130 121-130 141-150

28 Saint Petersburg Electrotechnical University "LETI" - 121-130 101-110 121-130

29 Herzen State Pedagogical University of Russia - 131-140 121-130 141-150

30 Moscow Aviation Institute (National Research University) - 131-140 121-130 131-140

31 Moscow State Linguistic University - 131-140 121-130 141-150

# University Period

2012/2013 2013/2014 2014/2015 2015/2016

32 Moscow State University of Civil Engineering - 131-140 131-140 141-150

33 Saint Petersburg Mining University - 131-140 101-110 121-130

34 Novosibirsk State Technical University - 131-140 111-120 101-110

35 Belgorod State Technological University named after V.G.Shukhov 141-150 151-200 151-200

36 Irkutsk State University - 141-150 131-140 151-200

37 Russian Presidential Academy of National Economy and Public Administration under the President of the Russian Federation (RANEPA) - 141-150 131-140 121-130

38 Altai State University - 151-200 141-150 131-140

39 Belgorod State University - 151-200 151-200 151-200

40 Financial University under the Government of the Russian Federation - 151-200 151-200 151-200

41 Kaliningrad State Technical University - 151-200 151-200 151-200

42 Kazan National Research Technical University named after A.N.Tupolev - 151-200 151-200 151-200

43 Kazan National Research Technological University - 151-200 141-150 151-200

44 Ammosov North-Eastern Federal University - 151-200 151-200 151-200

45 Northern (Arctic) Federal University named after M.V. Lomonosov - 151-200 - 201-250

46 Petrozavodsk State University - 151-200 151-200 151-200

47 Russian State University for the Humanities - 151-200 151-200 151-200

48 Saint-Petersburg University of Economics - 151-200 - -

49 Samara State Aerospace University - 151-200 151-200 151-200

50 Samara State University - 151-200 151-200 -

51 Siberian Federal University - 151-200 151-200 151-200

52 South Ural State University - 151-200 151-200 151-200

53 Volgograd State University - 151-200 151-200 151-200

54 Immanuel Kant Baltic Federal University - - 151-200 131-140

55 N. P. Ogarev's Mordovia State University - - 151-200 -

56 National Research University of Electronic Technology "MIET" - - - 201-250

57 Moscow Technical University of Communications and Informatics - - - 201-250

58 Perm National Research Polytechnic University - - - 201-250

Appendix 5. Quantitative results of cluster analysis

Table A5.1. Cluster characteristics by the variables included in cluster analysis

Funding formula for teaching Performance contracts for teaching

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

Not used 3,373

2 4

0 0,497

2 Likelihood Ratio

Primary 4,553

27 4

26 0,336

20 Linear-by-Linear Association

Secondary 1,054

14 1

10 0,305

6 N of Valid Cases

Total observations 107

43

36

28

Negotiations for teaching

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

Not used 36,653

29 4

10 0

21 Likelihood Ratio

Primary 39,577

14 4

10 0

6 Linear-by-Linear Association

Secondary 0,228

0 1

16 0,633

1 N of Valid Cases

Total observations 107

43

36

28

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

Not used 58,25

33 4

2 0

3 Likelihood Ratio

Primary 64,663

2 4

0 0

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2 Linear-by-Linear Association

Secondary 38,068

8 1

34 0

23 N of Valid Cases

Total observations 107

43

36

28

Funding formula for research

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

Not used 21,896

3 4

4 0

3 Likelihood Ratio

Primary 22,334

13 4

26 0

19 Linear-by-Linear Association

Secondary 10,725

27 1

6 0,001

6 N of Valid Cases

Total observations 107

43

36

28

http://vo.hse.ru/en/

Performance contracts for research

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

Not used 58,25

33 4

2 0

3 Likelihood Ratio

Primary 64,663

2 4

0 0

2 Linear-by-Linear Association

Secondary 38,068

8 1

34 0

23 N of Valid Cases

Total observations 107

43

36

28

Ranking position

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

1-100 86,787

20 8

4 0

0 Likelihood Ratio

101-200 93,317

8 8

23 0

0 Linear-by-Linear Association

201-300 41,668

9 1

6 0

8 N of Valid Cases

301-400 107

6

3

6

401-500

0

0

14

Total observations

43

36

28

Negotiations for research

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

Not used 1,862

15 2

14 0,394

21 Likelihood Ratio

Primary 1,866

28 2

6 0,393

6 Linear-by-Linear Association

Secondary 0,057

0 1

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16 0,812

1 N of Valid Cases

Total observations 107

43

36

28

Ranking movement

Chi-square test results

Cluster Value

1 df

2 Asymp. Sig. (2-sided)

3 Pearson Chi-Square

Down 10,797

3 4

4 0,029

8 Likelihood Ratio

No change 10,022

32 4

19 0,04

14 Linear-by-Linear Association

Up 1,07

8 1

13 0,301

6 N of Valid Cases

Total observations 107

43

36

28

Voprosy obrazovaniya / Educational Studies Moscow. 2017. No 3. P. 37-82

Table A5.2. Descriptive cluster characteristics by the variables excluded from cluster analysis

Average amount of funding Kruskal- Wallis test

Cluster 1 Cluster 2 Cluster 3 results

Mean Observations Mean Observations Mean Observations X2 | df Asymp. Sig.

Amount of funding (mln euros)

Total funding per student 0,03" 43 0,02" 36 0,018" 28 5,80 1 2 1 0,06

Total funding per faculty member 0,18 33 0,21 25 0,20 19 1,90 2 0,39

Total funding 704,7*** 43 540,7*** 36 317,6*** 28 37,63 2 0,00

Public funding per student 0,02*** 38 0,01*** 27 0,009*** 23 15,34 2 0,00

Proportions of selected sources in total funding (%)

Public grants in total funding 60,0*** 38 48,8*** 27 48,7*** 23 7,93 2 0,02

Public grants for research in total public funding 55 16 48 12 50 15 1,79 2 0,41

Public grants for teaching in total public funding 45 16 52 12 50 15 1,79 2 0,41

Third-party research grants in total funding 33 33 24 14 20 7 4,42 2 0,11

Tuition revenues in total funding 24 10 28 20 36 17 3,78 2 0,15

*** p < 1%, ** p < 5%.

Appendix 6

Table A6.1. University distribution by country

(the table indicates the number of universities from a specific country in the relevant cluster)

Country Cluster

1 2 3

AT 2 2

BE-FL 4

BE-FR 1

CZ 1

DK 4 1

FI 1 5

FR 6 4

DE-NRW 6 1

DE-HE 2

! Cluster

Country | 1 j 2 j 3

IE i 1 1

it 1 4 1

NL | 12

NO | 2

ES-CA i 2 1

SE i 9

CH | 6

UK-EN i 7 9 12

Table A6.2. ARWU Ranking positions of universities in 2014 (analyzed year): breakdown by clusters

Universities ARWU 2014 ranking

CLUSTER 1

Aarhus University 74

Catholic University of Leuven 96

Chalmers University of Technology 301

Charles University in Prague 201

Ghent University 70

King's College London 59

Linkoping University 301

Lund University 102

Norwegian University of Science and Technology 201

Royal Institute of Technology 201

RWTH Aachen University 201

Stockholm University 78

Swedish University of Agricultural Sciences 201

Swiss Federal Institute of Technology of Lausanne 96

Swiss Federal Institute of Technology Zurich 19

Technical University of Denmark 102

The Imperial College of Science, Technology and Medicine 22

The University of Manchester 38

Umea University 201

University College London 20

University of Antwerp 301

University of Basel 90

University of Bern 152

University of Bochum 201

University of Bonn 94

University of Bristol 63

University of Cambridge 5

University of Copenhagen 39

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University of Duisburg-Essen 301

University of Gothenburg 152

University of Helsinki 73

Universities | ARWU 2014 ranking

University of Innsbruck I 201

University of Koeln i 152

University of Lausanne j 152

University of Liege i 201

University of Muenster j 152

University of Oslo j 69

University of Oxford i 9

University of Southern Denmark j 301

University of Vienna j 152

University of Zurich i 56

Uppsala University j 60

Vrije University Brussel i 301 CLUSTER 2

Aix-Marseille University j 102

Autonomous University of Barcelona j 201

Cardiff University j 102

Claude Bernard University Lyon 1 j 201

Delft University of Technology j 201

Eindhoven University of Technology j 301

Erasmus University I 152

Leiden University j 77

London School of Economics and Political Science j 102

Radboud University Nijmegen j 102

Technical University Darmstadt j 401

The University of Sheffield j 102

Trinity College Dublin j 152

University of Amsterdam j 102

University of Barcelona j 152

University of Bologna j 152

University of Bordeaux 1 j 201

University of Frankfurt j 102

University of Groningen j 82

University of Leeds j 102

Universities | ARWU 2014 ranking

University of Liverpool j 102

University of Lorraine j 201

University of Maastricht j 201

University of Milan j 152

University of Nottingham j 102

University of Padua i 152

University of Paris Descartes (Paris 5) j 152

University of Paris Sud (Paris 11) j 42

University of Roma — La Sapienza j 152

University of Southampton j 102

University of Sussex j 152

University of Twente j 301

University of Wageningen j 102

University of Warwick j 152

Utrecht University I 57

VU University Amsterdam j 100 CLUSTER 3

Aalborg University i 401

Aalto University j 401

Brunei University j 401

Ecole Polytechnique i 301

Lancaster University j 301

Newcastle University j 201

Polytechnic Institute of Milan j 201

Polytechnic University of Catalonia j 401

Queen Mary, University of London j 201

The University of Reading i 301

University College Dublin j 201

University of Bath j 401

University of Bielefeld j 401

University of East Anglia j 152

University of Eastern Finland j 401

University of Essex i 401

Universities | ARWU 2014 ranking

University of Exeter I 201

University of Graz i 401

University of Leicester j 201

University of Nice Sophia Antipolis i 401

University of Oulu j 301

University of Paris Dauphine (Paris 9) j 301

University of Rennes 1 i 401

University of Surrey j 401

University of Turku j 301

University of York j 201

Vienna University of Technology i 401

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