Plane Thermoelastic Waves in Infinite Half-Space Caused


FACTA UNIVERSITATIS  
Series: Economics and Organization Vol. 11, N

o
 2, 2014, pp. 133 - 147 

Review paper 

ANALYSIS OF SERBIAN INNOVATION POTENTIAL  

IN THE PERIOD 2009-2012  

UDC 330.341.1(497.11)”2009/2012” 

Slobodan Cvetanovic
1
, Danijela Despotovic

2
, Vladimir Nedic

3
, 

Vojislav Ilic
4
 

1
Faculty of Economics, University of Nis, Serbia 

2
Faculty of Economics, University of Kragujevac, Serbia  

3
Faculty of Phil. and Arts, University of Kragujevac, Serbia 
4
Teacher Training Faculty, University of Belgrade, Serbia 

Abstract. In this paper a review of significance of country’s innovation potential for its 

economic growth and development is displayed first. Afterwards, positions and values 

of the global innovation index for the top 25 most innovative economies, for Serbia and 

for selected countries from its surroundings, for the period from 2009 to 2012 have 

been displayed. In order to classify selected countries into two or more groups, based 

on their similarity according to innovation performances, cluster analysis is conducted. 

The relations between innovation inputs and innovation outputs have been studied on 

the example of selected groups of countries (the group of European innovative leaders 

and Serbia with neighboring countries) through the correlation analysis. 

Key Words: innovation, innovation inputs, innovation outputs, innovation efficiency. 

INTRODUCTORY NOTES  

A larger share of new products, services and processes is one of the key assumptions 

of generating economic growth and improving competitiveness of the country, regardless 

of the level of its economic development. Growth in innovation potential, on one hand 

and improving its competitiveness, on the other hand, is the long term requirement for 

economic and social progress of all countries regardless of the level of economic 

development (Cvetanovic, Mladenovic, Nikolic, 2011). 

The score of the achieved level of innovation of countries is based on a larger number 

of data. This study used data from the Global Innovation Index Report 2011, 2012. 

                                                 

 Received April 22, 2014 / Accepted June 25, 2014 

Corresponding author: Slobodan Cvetanovic 
Faculty of Economics Niš, Trg kralja Aleksandra 11, 18000 Niš, Serbia 

Tel: +381 18 528 642  E-mail: slobodan.cvetanovic@eknfak.ni.ac.rs 



S. CVETANOVIC, D. DESPOTOVIC, V. NEDIC, V. ILIC 134 

The objectives of this research are: a) an explication of the most important theoretical 

basis on which the concept of innovation potential of the national economy rests, 

b) review of the metrics of the innovative potential of the economy - Global Innovation 

Index, c) an empirical analysis of the level and dynamics of the improvement of innovation 

potential in the economy of Serbia in comparison to 25 most innovative economies in the 

world and to its surrounding countries in 2009-2012 period.  

For an explanation of the main pillars for the concept of innovation potential of the 

economy, as well as to reflect on the Global Innovation Index metrics in addition to the 

descriptive approach, graphics explication of the phenomena studied was used. On the 

other hand, as dominant analytical tools for empirical analysis of the achieved levels and 

dynamics to improve the innovative potential of selected countries, quantitative tools of 

correlations and cluster analysis were used. 

1. THEORETICAL FUNDAMETALS FOR CONCEPT OF INNOVATION POTENTIAL OF THE ECONOMY 

The explication of the supporting theoretical pillars of the concept of the innovation 

potential of the economy is not an easy task. It is our opinion that it is not possible to 

understand the importance of innovation potential for the development of modern 

economy properly without understanding the messages of three teachings that occupy a 

significant place in the development of economic science and designing of economic 

policies of advanced countries over the last twenty or more years. That being said, we 

have in mind: a) the emergence of new theories or endogenous development, whose 

holdings are represented by endogenous growth models of Paul Romer (Romer, 1986, 

1987, 1990), b) recognition of the concept of national innovation system by Christopher 

Freemen (Freeman, 1987) and c) learning about creating competitive advantage of 

nations by Michael Porter (Porter, 1990). The unifying thread of these three teachings, 

which is defined in the context of the title of this work, the highest possible analytical 

importance has the position in which the improving innovation of the economy is at the 

epicenter of explanation of the physiology of macroeconomic phenomena such as the 

economic growth and the competitiveness of countries (Cvetanovic & Sredojevic, 2012).  

Endogenous growth explanations emphasize the existence of positive correlation 

between the dynamics of the improvement in innovation potential of the country and the 

quality of the country's key macroeconomic performances. Also, it founds incentives for 

innovation in the appropriate institutional arrangements as the innovators are not able to 

realize the benefits of their results in an unfavorable institutional environment, which 

inhibits the growth of its innovative potential (Jones, 1998). 

Endogenous growth (Romer, 1994) theory has not yet become a full conceptual 

approach to research key factors in the economic prosperity of individual countries. For 

its creation and promotion we credit a number of economic theorists. Consciously risking 

going into unjustified neglect of contribution of a large number of researchers to the 

explanation of complex mechanisms for generating growth, in this paper, a new theory of 

growth is associated with model presentation for the growth of the American Nobel 

laureate Paul Romer from the period 1986 -1990 (Romer, 1986, 1987, 1990). In addition, 

Romer's theoretical opus about the key drivers of economic growth is divided into two 

parts; endogenous growth models based on externalities (Romer, 1986, 1987) and growth 

models, the basis of which are research and development activities (Romer, 1990).  



 Analysis of Serbian Innovation Potential in the Period 2009-2012 135 

Growth models based on externalities (Jones, 1995) start from the premise by which 

innovation in the broadest context of the economy as a whole allow expression of 

increasing returns, which is completely contrary to the assumption of perfect competition 

(Romer, 1986). In the absence of perfect competition, knowledge cannot be perfectly 

protected with patent or trade secret. The knowledge that each individual company 

creates by "learning by doing" becomes instantly available and free to all interested 

parties for their use. So the company can see that it "leaks" new knowledge, but it has 

benefited from the knowledge that "leaks" to others. This means that at time t there is 

same level of knowledge for all firms, i.e. the same for the whole economy. This level can 

be represented by the equation: At = cKt b, for b> 0, where At is the level of technology 

(innovation potential of the economy), Kt capital (physical) b the elasticity of At for the 

change in Kt, and c is a constant. The equation At =cKt b indicates that the level of 

technology (innovation potential size of the economy) depends on the accumulation of 

capital at time t. Thus, the total stock of knowledge j is an increasing function of investment 

and determined by the actions of economic agents, which makes a complex of technological 

change endogenous. Since the companies are unaware of the production of knowledge, it is 

always considered that the level of technology At as a given size and, at the same time, a 

factor which can be used at no additional cost (Valdés, 1999).  

Previous explicit model was not entirely satisfactory, primarily because of the 

circumstances that the complex technology (innovation) in the treatment of it was accidental 

result of the economic activities of the company (Sener & Sarıdogan, 2011). Specifically, in it 

the companies maximize profits, investing in capital by process of learning by doing and 

knowledge spillover effects (Cohen & Levinthal, 1990), increasing the general level of 

knowledge regardless of the fact there is no explicit intention to do it. However, in real life, 

the facts are that the new knowledge is in the minimum percentage the result of accidental 

activities, while it is dominantly a result of work of companies who deal with innovation 

activities in an organized way, while trying to realize monopoly rents (McElroy, 2003; 

Teece, 2003). Thus, the implicit assumption by which new knowledge is available to everyone 

for free, as well as the assumption according to which there is perfect competition; make the 

largest structural defects of this model. Romer associated improvement in the innovation 

potential of the national economy with an undeniable need for innovators to use commercial 

valuation of their solutions in order to make profit (Romer, 1986).  

Growth in Romer's model is based on research and development and driven by 

innovation, and results from investment decisions of companies that maximize profits 

(Romer, 1990, 1994). Romer recognizes that the technology is different from all other 

goods, because it is uncompetitive in nature and only partially exclusive good. A good level 

of competitiveness of any good is exclusively its technological feature. Competitively good 

is used by one company or one person which understandably means it is not to be used by 

anyone else. In contrast, non-competitive good is available to all without any restrictions. 

Unlike competitive features, exclusivity of a good is a function of both technology and the 

legal system. Good is considered exclusive, when its owner can prevent others from using 

it. Conventional economic goods are distinguished by features of competitiveness and 

exclusion. Public goods are uncompetitive and non-exclusive. Precisely because they are 

non-exclusive, the supply of public goods cannot provide security to private individuals, 

and they cannot be traded in the market. For the theory of growth there is an interesting 

group of goods that are not competitive, but also partially exclusive, and technology is 

such kind of good. There are three basic assumptions on which Romer build his model 



S. CVETANOVIC, D. DESPOTOVIC, V. NEDIC, V. ILIC 136 

based on the importance of research and development activities in 1990: a) technological 

change (innovation) is a key determinant of economic growth, b) innovations are mainly 

the result of deliberate actions taken by individuals to respond to market incentives and, 

finally, innovations are by their characteristics different from other economic goods. These 

three assumptions directly lead to the conclusion that the equilibrium is not possible in 

conditions of perfect competition, but there must be a monopolistic competition. In fact, if 

all inputs were paid according to marginal product, the company would have losses arising 

from the additional expenses associated with previous investments in research and 

development of new products or new processes. In the model of economic growth of 

Roberta Solow this problem is abstracted due to the fact that the complex technological 

change (innovation) is treated as an exogenous character variable (Solow, 1956). However, 

this model is consistent with the premise on which technological change (innovation) is a 

key determinant of economic growth and at the same time it is a non-competitive good. 

However, the model is not consistent with the real fact that technology is the result of 

planned and organized activities of economic actors to maximize cash benefits.  

National innovation system comprises of a network of public and private institutions 

whose activities and interactions determine the emergence, import, continuous improvement, 

and the general diffusion of new technologies (Freeman & Soete, 1997). The concept 

connects institutions and determinants of quality of innovation processes in the country 

(Etzkowitz, et al., 1998). The attribute "national" includes many categories in which the 

state has a certain impact. In short, the national innovation system is the totality of 

relationships between organizations and relations involved in the production and diffusion 

of scientific and technological knowledge (innovation) in the manufacturing process  and 

the society at large is the territory bounded by national borders (Freeman, 2002; Lundvall et 

al., 2002). In the simplest form, the national innovation system model describes the mutual 

relationship of the elements of which it is composed, the private sector, whose role is 

reflected in the use of technologies developed as a result of its own research, market 

winning of innovations, support of the country in the creation of new theoretical and 

applied knowledge as well as the creation of infrastructure and institutional conditions 

conducive to the development of innovation activities in private companies. In a word, the 

national innovation system should be understood as form of an organization of economy 

and society, which, in conditions of turbulent changes in the environment, ensures 

sustainable development of the national economy (Peters, 2006).  

The idea of the concept of national innovation systems in rudimentary form can be 

found in the works of German economist Friedrich List (Peters, 2006). List identified a 

number of significant determinants of investment such as industrial production, 

institutions, import foreign technology, education and training. List's main concern was, 

as some of the authors say, how Germany can overcome its economic backwardness in 

relation to England, which was then the world's leading industrial nation, and how the 

economy will catch up and surpass England (Freeman & Soete, 1997). As a reminder, the 

paper argued for the protection of young industries and appropriateness of the policies 

able to accelerate and facilitate the industrialization and economic growth. Most of these 

policies were concerned with teachings about innovation and economic effects of their 

specific application. The most important characteristic of this strategy was its devotion to 

the proactive role of the state. List realized the importance of understanding the 

interdependence of innovation and economic development, concluding that in order to 

improve the innovation potential of Germany, the government should outline and implement a 



 Analysis of Serbian Innovation Potential in the Period 2009-2012 137 

long-term policy support for the development of science, technology and industrial 

production. 

There are large differences in innovation potentials of the countries that have similar 

production resources in the standard sense of the word, which again has to do with the 

key performance of their national innovation systems (LeBel, 2008). Talking about 

innovation in this light, there is a regard to the use and continuous improvement of 

existing solutions, as well as the intense process of gaining new knowledge. In both 

cases, primarily referring to the knowledge that exists within and outside the company, 

but as far as this other form; we have in mind the knowledge that exists in the country in 

which the company operates.  

A number of authors believe that the concept of national innovation systems primarily 

emphasizes the importance of tacit knowledge in generating technological innovations 

(Simoneti, 2001). Otherwise, under the assumption that knowledge is codified explicitly 

and unambiguously, the company could simply buy it like any other factor of production. 

However, tacit knowledge means that the company must maintain numerous contacts 

with other firms, as well as with a number of different organizations in order to gain 

access to knowledge and especially to make it effective in use. 

National innovation systems are formed under the influence of many different factors 

for each of the analyzed countries, including its size, the availability of natural and 

human resources, the characteristics of the historical development of public institutions 

and the dominant forms of entrepreneurial activity (Figure 1). These factors determine to 

a significant degree the level and dynamics of the innovative potential of improving the 

national economy (Smith, 2010). 

 

Fig. 1 National innovation system 
Source: Modified according to (OECD, Managing National Systems of Innovation, 1999) 



S. CVETANOVIC, D. DESPOTOVIC, V. NEDIC, V. ILIC 138 

Michael Porter's key determination is that innovations initiate and support competition. 

The main determinants of competitiveness of individual countries are: 

a) conditions relating to the factors that determine the dynamics of production and 

forms of manifestation profiling the competitive struggle in certain areas of business 

(capital, level of technology, infrastructure, skilled workforce, available information, etc), 

b) Conditions related to internal demand for goods and/or services of given production 

areas, c) the presence of related competitive industries in the country and d) conditions in 

the country that determine how the company is set up, organized and lead, as well as the 

nature of domestic competition (Porter, 1990).  

 

Fig. 2 Porter's diamond of national competitiveness 
Source: Modified according to (Porter, 1990) 

In the view of Porter, the success is achieved by those countries in which the process of 

interaction of all the factors of national competitive advantage is most dynamic. Significant 

improvement of innovation in the economy is not possible, if one of these determinants of 

the diamond of national competitiveness does not make its full contribution. 

2. METRICS OF GLOBAL INNOVATION INDEX 

In this paper, innovativeness of the economy is quantified based on data from Global 

Innovation Index (2011, 2012). 

Global Innovation Index is based on two sub-indices: Innovation inputs and 

Innovation outputs. Innovation inputs consist of five pillars that display elements, i.e. 

potentials for innovative activities of national economy: (1) Institutions, (2) Human 

capacity, (3) Infrastructure (4) Market sophistication, and (5) Business sophistication. 

Innovation outputs consist of two pillars that show the actual results of innovation: 

(6) Scientific outputs and (7) Creative outputs. Each pillar is divided into sub pillars and 

each sub-pillar consists of individual indicators (see Figure 3). 

Using the model shown in Figure 3, the country will be measured in accordance with 

its Innovation inputs and outputs, which together determine the overall value of GII and 

place the country on a ranking list made under the criteria of innovation.  



 Analysis of Serbian Innovation Potential in the Period 2009-2012 139 

 

Fig. 3 Metrics of Global Innovation Index 
Source: Modified according to (The Global Innovation Index, 2012) 

Input parameters determine benefits of the environment in which economic actors 

operate to create and effectively use various types of innovation in the economy. Outputs 

are the results of the proof of innovation inputs: patents, trademarks, copyrights, creative 

products, workers in the areas of knowledge-based services, the share of exports of high-

tech products in total exports, etc. 

3. INNOVATION LEADERS, SERBIA AND NEIGHBORING COUNTRIES 

Figure 4 shows place in the rankings according to the criteria of innovation in the 
period 2009-2012 (top 25 most innovative economies in the world). 

Figure 5 shows place in the rankings according to the criteria of innovation in the 
period 2009-2012 (Serbia and selected countries in Europe). 

There has been a major qualitative shift for Serbia in the criterion of Global Innovation 
Index in 2012 compared to previous years. In fact, from 101st place in 2010 (and 92nd 
place in 2009) Serbia was ranked 46

th
 according to this criterion in 2012, surpassing 

Greece, a long-time member of the European Union. However, even under the condition 
that there is no doubt about the statistics incompatibility in the data on the basis of which 
the Global Innovation Index is composed, the fact is that the surrounding countries, 
Hungary, Slovenia, Bulgaria, Croatia, are significantly ahead of Serbia according to the 
criterion of Global Innovation Index in 2012. From the countries bordering Serbia only 
Bosnia and Herzegovina and Macedonia are behind it in the Global Innovation Index 
(Cvetanovic, Despotovic, Nedic, 2012).  



S. CVETANOVIC, D. DESPOTOVIC, V. NEDIC, V. ILIC 140 

 

Fig. 4 Rankings of the top 25 most innovative economies in the world  
Source: The diagram is based on the database from (The Global Innovation Index, 2011, 2012). 

 
Fig 5. Rankings of Serbia and selected countries  

Source: The diagram is based on the database from (The Global Innovation Index, 2011, 2012) 

The question timely arises as to what extent innovation input size determines the 

value of innovation output. Depending on the answer to such a question we can provide 

useful information to policymakers in which direction it is most appropriate to work on 

incentives and other government measures to improve innovation of the economy. In 

order to get the answer to the question of dependencies in values that make innovation 

inputs and innovation output components, we will use the statistical analysis of a very 

well known, so called XY diagram. This is a common way to show the connection 

(direction and degree of quantitative variation agreement) between two variables. 

Figure 6 shows the scatter diagram of the relationship between the variables of 

Innovation inputs and outputs. 



 Analysis of Serbian Innovation Potential in the Period 2009-2012 141 

 

Fig. 6 Scatter diagram for the relationship of Innovation Input and Innovation Output 

(data on a sample of 125 countries, in 2011) 
Source: The diagram is based on the database from (The Global Innovation Index, 2011, 2012) 

A graphical representation of data pairs of innovation inputs and innovation outputs 

shows a strong correlation between the variations of the observed variables. Customizing the 

linear form of interdependence and analysis of components in the specified model also 

suggests previously stated, perceived visual statement. In fact, linear regression function has 

the following form: y = - 2.678 + 0.766 X, with statistics of R 
2
 = 0.714 and R = 0.845.The 

value of the coefficient of determination indicates the presence of 71.4% variation in variable 

innovation output is explained by variations in innovation inputs, while the remaining 

28.6% is a result of the influence of other factors not included in this model. Strong 

correlation is confirmed by the correlation coefficient 0.845. Testing the hypothesis of linear 

interdependence of variables over the corresponding regression coefficient obtains the value 

of the test statistics at 17.527. With probability 0.05 level of significance of the test and the 

test threshold at 1.9794, we also conclude that there is a statistically significant linear 

correlation between the variables of innovation inputs and innovation outputs. 

Figure 7 scatter diagram shows the relationship between the variables of Global 

Innovation Index and Innovation Efficiency Index. 

 

Fig. 7 Scatter diagram for the relationship of Global Innovation Index and Innovation 

efficiency index (data on a sample of 125 countries, in 2011) 
Source: The diagram is based on the database from (The Global Innovation Index, 2011, 2012) 

A graphical representation of data pairs for the Global Innovation Index and 

Innovation Efficiency Index shows a very weak correlation between the variations of the 



S. CVETANOVIC, D. DESPOTOVIC, V. NEDIC, V. ILIC 142 

observed variables. Customizing the linear form of interdependence and analysis of 

components in the specified model also suggests previously stated, perceived visual 

statement. In fact, linear regression function has the following form: y = 0.546 +0.004 X, 

with statistics of R 
2
 = 0.102 and R = 0.319.The value of the coefficient of determination 

indicates that only 10.2% of the variation in variable Innovation efficiency index is 

explained by variations of the Global Innovation Index, while the remaining 89.8% is a 

result of the influence of other factors not included in this model. Weak correlation is 

confirmed by the correlation coefficient 0.319. Testing the hypothesis of linear 

interdependence of variables through appropriate regression coefficient obtains value of the 

test statistics at 3.237. With probability level of significance of the test at 0.05 and the test 

threshold at 1.9794, we also conclude that there is a statistically significant linear correlation 

between the variables Global Innovation Index and Innovation Efficiency Index. 

4. CLUSTER ANALYSIS 

By cluster analysis, the observed set of elements is divided into subsets, so that the 

elements that are similar in some sense are grouped in the same cluster. In this case the 

method used was agglomerative hierarchical clustering.  

Figure 8 shows the dendrogram of the cluster analysis conducted between clusters for 

which we used data for the Global Innovation Index, innovation index of efficiency, input 

and output sub-index with the corresponding pillars of The Global Innovation Index 

2012. X axis gives the diversity level between the countries analyzed. 

In the process of grouping selected European innovation leaders according to the degree of 

efficiency innovative bottom-up agglomerative hierarchical clustering method was used. In 

the initial step, each country is treated as a separate cluster. Their merging in pairs of clusters 

is based on the similarity in terms of the observed values of the variables which is the result of 

all subsequent clustering iterations until all observed entities are consolidated within one 

cluster. If we take diversity level of 600 as a possible cross-section in dendrogram, three 

clusters of the observed countries are clearly identified. The largest group consists of 8 

countries, or 53% of the total number of observed countries. The second group includes 

Norway, Austria and France. The third group relates to Luxembourg and Ireland.  

If we consider the world's innovation leader and take the cross section at diversity 

level of 1250, it is possible to clearly identify two dominant clusters in the presented 

dendrogram. A striking feature of the first cluster is that its two sub cluster elements are 

created at a much higher level of diversity than is the case with countries that belong to 

another cluster. The countries included in the cluster are characterized by a much higher 

degree of variations in level of innovation effectiveness than is the case with countries 

within the other cluster. Also, in comparison with clusters that are formed for European 

leaders, the grouping for the world's leaders in clearly segregated clusters was achieved at 

a much higher level of diversity, which suggests the expressive degree of variability in 

the innovative effectiveness worldwide.  

Figure 9 shows the dendrogram of the cluster analysis implemented for Serbia and 

selected group of 11 European countries, the diversity is given on the Y axis. Diversity is 

determined on the basis of data for GII, sub-indices of innovation inputs and innovation 

outputs and the corresponding pillars. 



 Analysis of Serbian Innovation Potential in the Period 2009-2012 143 

 

Fig. 8 The dendrogram of the cluster analysis conducted for the European and global 

innovation leaders 
Source: The diagram is based on the database from (The Global Innovation Index, 2012) 

 

Fig. 9 Dendrogram of the cluster analysis implemented for Serbia and selected group of 

countries 
Source: The diagram is based on the database from (The Global Innovation Index, 2012) 

Cluster analysis applied to Serbia and a selected group of countries follows a similar trend 

for grouping as countries in the category of European innovation leaders. On the dendrogram 

presented, it can be seen that from the innovative aspect of the degree of efficiency, at the first 

Singapore 

Ireland 

Luxembourg 

Hong Kong 

Switzerland 

Sweden 

Denmark 

Canada 

Netherlands 

USA

UK

Japan 

Iceland 

New Zealand 

Germany 

Korea 

Finland 

Israel 

Norway 

Australia 

Hungary 

France 

Estonia 

Austria 

Belgium 

0 500 1000 1500 2000 2500 3000

Dissimilarity

France

Austria

Norwey

Ireland

Luxembourg 

Sweden

Switzerland

Finland

Iceland

Germany

Netherlands

Denmark

UK

0 500 1000 1500

Dissimilarity



S. CVETANOVIC, D. DESPOTOVIC, V. NEDIC, V. ILIC 144 

level of grouping, Serbia is most similar to Greece and then to Croatia, Poland, Bulgaria and 

Romania. On the other hand, there is the biggest difference compared to Hungary and 

Slovenia. Overall, at the diversity level of 900 we can identify two clusters, i.e. Hungary and 

Slovenia on one side against all other countries covered by the analysis. 

5. COMPARATIVE ANALYSIS OF INNOVATION FOR SERBIA AND NEIGHBORING COUNTRIES 

IN 2012 

In Figure 10 in the given diagrams, we analyzed Serbia's position in relation to the 

surrounding by GII and sub-indices of GII. 

 

Fig. 10 Innovation Input Sub-Index, Innovation Output Sub-Index and Global 

Innovation Index, Serbia and neighbors  

In order to obtain a more realistic picture of the relationship between innovation 

inputs and outputs we will investigate the correlation.  

Graphical representation of data pairs of variables Innovation input and Innovation 

output for the selected group of countries indicates a weak (negligible) correlation among 

the variations of the observed variables. 

Adaptation of the linear form of correlation and analysis of specified model 

components also suggests previously stated, visually perceived statement. In fact, the 

function of the linear regression has the following form: y = -14.3 +1.048 *x, with the 

statistics R2 = 0.319 and R= 0.565. Value of determination coefficient shows that 31.9 % 

of total variations of Innovation output variable is explained by the variations of 

Innovation input variable, while the remaining 68.1% represents the result of the 

influence of the other factors which are not included in this model. A weak correlation is 

also confirmed by the correlation coefficient 0.565. Its value indicates the existence of 

low grade, direct (straight line extending from the lower left to upper right corner of a 

graph) linear correlation among the observed variables in countries included in the 

sample. The slope of the line b1 = 1.048 indicates that the growth of Innovation input 

variable for one unit of its measurement leads to growth of Innovation output for 1.048. 

Testing of the hypothesis of linear independence of observed variables over the 



 Analysis of Serbian Innovation Potential in the Period 2009-2012 145 

corresponding regression coefficient gave the value of the statistics test of 1.6788. With a 

probability level of significance of the test 0.05 and test threshold 2.4469, it can also be 

concluded that there is no statistically significant linear correlation between the observed 

variables Innovation input and Innovation output. 

 

Fig. 11 Scatter diagram for the connection between global innovation index and 

innovation efficiency index (data on a sample of eight countries) 

 

Fig. 12 Scatter diagram for the connection between global innovation index and 

innovation efficiency (data on a sample of thirteen EU countries) 

Graphical representation of data pairs of variables Innovation input and Innovation 

output for the selected group of countries indicates a potentially significant correlation 

among the variations of the observed variables. Adaptation of the linear form of 

correlation and analysis of specified model components also suggests previously stated, 

visually perceived statement. In fact, the function of the linear regression has the 

following form: 15.49 + 0.557 *x, with the statistics R
2 

= 0.473 and R= 0.7. Value of 

determination coefficient shows that 47.3% of total variations of Innovation output 

variable is explained by the variations of Innovation input variable, while the remaining 

52.7% represents the result of the influence of the other factors which are not included in 

this model. A potentially significant correlation is also confirmed by the correlation 

coefficient 0.7. Its value indicates the existence of high grade, direct (straight line extending 



S. CVETANOVIC, D. DESPOTOVIC, V. NEDIC, V. ILIC 146 

from the lower left to upper right corner of a graph) linear correlation among the observed 

variables in countries included in the sample. The slope of the line b1 = 0.557 indicates that 

the growth of Innovation input variable for one unit of its measurement leads to growth of 

Innovation output for 0.557. Testing of the hypothesis of linear independence of observed 

variables over the corresponding regression coefficient gave the value of the statistics test 

of 3.1474. With a probability level of significance of the test 0.05 and test threshold 

2.201, it can also be concluded that there is statistically significant linear correlation 

between the observed variables Innovation input and Innovation output. Thus, given the 

values obtained with the proposed model, it can be concluded that the model is valid for 

statistical inference, and implementation of correct predictions and projections of Y. 

CONCLUSION 

If observed world-wide, global innovation index data analysis shows significant difference 

between the economies, even when they have similar general economic development. That 

could be the consequence of countries'  implementation of various distinctive strategies. 

However, it is obvious that there is a significant correlation between innovation inputs and 

innovation outputs, if they are observed globally, while this correlation cannot be identified in 

the relation between global innovation index and innovation efficiency index (IFI). 

Serbia and surrounding countries have innovation performance quality at a much lower 

level compared to other EU countries. One of the reasons for delayed transition of Serbian 

economy is its low innovativeness. 

In considering the relationship between Innovation Input and Innovation Output Index 

for Serbia and a select group of countries, it was found that there was no statistically 

significant effect of innovation input on innovation results.  

Considering the relationship between Innovation Input Index and Innovation Output Index 

for reference European countries revealed a potentially significant direct linear correlation, 

and statistically important impact (linear correlation) of inputs to innovation results. 

Possible reason for this correlation disbalance within two observed groups of countries 

is that GII metrics is primarily appointed to the countries with high-profile national 

innovation system. 

However, Serbia is the only country from the observed group of neighbouring countries 

which has a very similar  subindex of innovation inputs and outputs, and because of this is 

on the first place in a group by innovation efficiency index. Unfortunately, it is our opinion 

that this is an echo of innovation inputs from the time of Yugoslavia, and that, in order to 

give recommendation and priorities for Serbian innovation system’s further development, 

more serious focus on GII paremeters is necessary. 

This requires further research after implementation of given metrics in following 

period of time. 

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ANALIZA INOVACIONOG POTENCIJALA SRBIJE U PERIODU 

2009-2012. GODINE 

U ovom radu prvo je prikazan pregled značaja inovacionog potencijala zemlje za njen 

ekonomski rast i razvoj. Nakon toga su prikazane pozicije i vrednosti globalnog indeksa inovativnosti 

za 25 najinovativnijih ekonomija sveta, za Srbiju i za odabrane zemlje iz njenog neposrednog 

okruženja, za period od 2009 do 2012. U cilju klasifikacije odabranih zemalja u dve ili više grupa, 

na osnovu njihove sličnosti prema inovacionim performansama, izvršena je klaster analiza. Odnosi 

između inovacionih ulaza i inovacionih izlaza su prikazani na primeru odabranih grupa zemalja 

(grupa evropskih inovativnih lidera sa jedne i Srbije i njenih susednih zemalja sa druge strane ) 

putem korelacione analize.  

Ključne reči: inovativnost, inovacioni ulazi, unovacioni izlazi, inovaciona efikasnost.