Typology of Motivation and Aggression on the Basis of Social Network Variables : Examples of Complementary and Nested Behavioral Types through Conventional Statistics

Goal of this research is to suggest a typology of verbal aggressiveness, argumentativeness and motivational climate influence, pointing out examples of complementary types (namely containing no identical components) and nested types (containing identical components). Complete network analysis was conducted in a student class at the Dept. of Physical Education and Sport Sciences, University of Thessaly (N = 66). Standardized questionnaires were used. Network analysis and Principal Component Analysis were implemented using Visone software and SPSS, respectively. Main results were: in the typology of targeting, parameters of motivation climate, verbal aggressiveness and argumentativeness were combined in several types (“affable ambitious”, “isolated victim”, “isolated ambitious”, “lightly victimized” and “severely victimized”) which were partially complementary and partially nested into each other. These depict student profiles vary from quite socialized and invulnerable to only isolated and victimized. They also reveal the significance of seeking knowledge acquirement vs. performance. The typology of general involvement (inand out-degree) contains types tending to be rather nested into each other than complementary which varies from quite integrative to purely deconstructive appearance. This typology depicts the connection of motivation climate (and the subsequently induced familiarity) with verbal aggressiveness without diminishing susceptibility to argumentation. The fact that the typology of targeting is composed of several complementary types while in the typology of general involvement mainly of nested ones, can be attributed to the structural clarity of the former ones (a typology focusing only on targeting is structurally clearer than a typology of general involvement).


Introduction 1.Verbal Aggressiveness
Human-beings communicate with each other in order to exchange information, convey emotions and interact.A dominant definition of verbal aggressiveness is a communication attacking the self-concept of other people and causing psychological pain [1].The psychological pain includes a plethora of negative feelings such as humiliation, embarrassment, hopelessness, despair, depression and the feeling of inadequacy [2].Verbal aggression can prove destructive in interpersonal relationships, as it produces emotions like sadness, irritation, anger and discouragement to the recipient, or results in physical aggression and violence [3].Verbal aggressiveness is correlated with a negative climate in the classroom and little engagement during the lesson [4], restricted satisfaction and intrinsic motivation [5] [6], increasing anxiety [7], negative affective learning [8] [9] [10], decreased interpersonal attraction [11] [12] [13], increasing Machiavellianism [14] and undemocratic style of leadership [14] [15].Verbal aggressiveness also restricts communication inside or outside the classroom [16] [17].In the domain of physical education (PE), verbal aggressiveness is negatively correlated to intrinsic motivation and discipline reasons [18] [19] [20] [21] and fair play [22].

Motivational Climate
According to Achievement Goals Theory [34], people are motivated to their actions by the need to prove their competence.On this basis, motivational climate is usually defined as the climate created within a classroom encouraging mastery or performance.These are two main orientations concerning one's success or ability.People who are task-orientated, focus on learning and enhancing their skills.The accomplishments are based on subjective criteria.On the contrary, ego-orientated people determine the achieved success by the final result and compare their performance with others' [35].In the educational context, the mastery motivational climate enhances personal improvement and the cooperation, while the performance oriented climate emphasizes the competitiveness and decreases the tolerance to mistakes in learning procedure [36].[37] reports that perceptions of mastery motivational climate in the PE class are positively correlated to positive feedback.When the motivational climate in PE class is task-oriented, the students feel self-worth, content [38], highly motivated [39] and show effort and persistence to their pursuit [40].The invigoration of the students' self-confidence promotes the desire to develop their skills; engagement in physical activities and positive attitudes toward exercise [41].Contrariwise, the use of rivalry by the ego-oriented instructors produces negative emotions, such as pressure and anxiety [42].In addition, a strong motivation climate leads up to positive experiences and satisfaction in future athletic activities [43].Mastery motivational climate is positively correlated to the need for developing ability, autonomy and interpersonal relationships [44], cohesiveness [45] and negatively correlated to stress [46].

Argumentativeness
Argumentativeness is defined as a tendency to engage in debatable subjects, to disprove opposing believes and to state personal positions.Individuals with high argumentativeness are more likely to enunciate disagreements and get involved in interpersonal conflicts [2].Argumentativeness was found to be a constructive trait, as it makes one impose his perspectives on a controversial topic [3].Argumentative persons perceive arguments as an exciting intellectual challenge and are seen as more credible, creative and self-assured [4].Argumentativeness is positively related to affective learning, state motivation, interpersonal attraction and satisfaction [4] [6] [24] [47], socio-communicative style and discipline reasons [48], democratic teaching style, intrinsic motivation [9] and negatively with Machiavellianism [14].Argumentativeness is positively related to the student's state motivation [47] and to physical, social and scientific interpersonal attraction [13].Network analysis has also been conducted in the field of argumentativeness [29] [32].

Structure of the Research
In this research, the three concepts described above are considered to be interdependent parameters producing different behavioral types.One cannot be completely susceptible to motivation, verbal aggressiveness and argumentativeness all time.Various subtle dimensions of these parameters appear in different combinations constituting respective patterns.These can be either well demarcated from each other or having more or less dimensions in common.In the former case, they are complementary to each other while in the latter one are regarded as (more or less) nested into each other.
The formulation of concrete types is regarded as a rather practical added valued of the paper, enabling to discern certain behavioral patterns appearing in the educational activity.The exploration of complementarity or nestedness of these types is considered to be a meta-analysis of the typology suggested and thus, it can be regarded as a theoretical added value.
Actually, the fulfilment of this practical and theoretical added value is considered to be the main aim and contribution of the paper, the truth of which seems to derive from the statistical facts and its interpretability.

Method
Complete network analysis is a method appropriate for exploring interactions, including also aggressiveness and motivation [49] [50].A class of n students is visually presented as a polygon.This is a network of n nodes.The diagonals depict the links among the nodes (e.g. relations of motivation influence, aggressiveness) (e.g.A influences B, A threats B, C and D etc.).However, in order to be algebraically processible and not only illustrative, this network is mathematically expressed as a matrix where the nodes are ordered on both the vertical and horizontal axes.The elements of the matrix are the values of the relations occurring from the vertical to horizontal axis (e.g. from A to B: no existence of motivation influence = 0, existing motivation influence = 1).The length of a chain of successive relations from A to D (A influences B, B influences C and C influences D) is also relevant, as it expresses the "Katz status" of node D within the network (formula of Katz, 1953, see also [51]).Thus, the node A possessing the highest Katz status can influence actors B, C and D, by initial influencing just B. The Katz status of every other relation can be similarly calculated.
The following algorithms of network analysis were used, calculated and normalized (%) by network software: in-degree (occasional hierarchy position), outdegree (it expresses the occasional hierarchy position but for outgoing relations, in contrast to the in-degree), degree (the sum of in-and out-degree), Katz status (accumulative hierarchy position), page rank (distributive hierarchy position) and authority (qualified competitiveness).It is also clarified that Katz, page rank and authority are also here calculated on ingoing relations.Their formulas are consolidated and easily accessible in several websites.Their social interpretation is given in previous papers [27] [28] [33].

Sample
Network (so-called "snowball") sampling was conducted.The whole network ple is of course a non-random one.This is not, however, a weakness, as the goal of the analysis was not descriptive but analytic statistics.

Questionnaire
The network-related part of questionnaire was formulated in the basis of previous similar questionnaires [13] [28] [52].Nevertheless, it was adjusted to the peculiarities of the particular research.Thus, questions concerning motivation (performance and learning), verbal aggressiveness and, more specifically, argumentation, were added.The non-network-related part of the questionnaire in-cluded parameters regarding the individual profile of the participants (e.g.gender, age, socio-economic state).In the particular paper the questionnaires are not presented in annex, as the key words of the questions are already presented in the tables.

Statistical Analysis/Processing
The network variables were calculated by Visone 1.1 software.Both network and non-network variables were processed in cross-sectional analysis by SPSS 21 (Principal Component Analysis).Coefficients higher than 0.300 were considered for extracting typology, as this is considered to yields balanced results (enough parameters to construct types but not so many that it would decrease their explanatory value and make them only descriptive) [28] [53] [54].This technique is mostly appropriate for extracting general typology (in contrast, for example, to stepwise multivariate analysis which is more appropriate for examining variables in relation to a specific one considered as dependent).The interpretation of the results has been based on in-depth interviews.

Results and Discussion
In "Figure 1", selected examples of networks are presented.The first column presents the circle form presenting each network as polygon.This enables a visual perception of the density (percentage of all possible relations which exist).
The densest network appears to be this of the motivation influence in learning sport (2.4%).This is understandable as it is in accordance with the formal goal of the Department of Physical Education and Sport Science.The next denser networks are these of motivation influence in improvement (1.5%) and of argumentativeness (1.2%).The thinnest network is that of threat (0.32%).This is also expectable as such a verbal aggressiveness necessitates extreme conditions in order to take place and does not massively characterize the everyday life of students.
The next three columns present the pyramids of hierarchy (namely how the nodes are layered according to the position they possess in the indicators of Katz, page rank and authority respectively).
In "Table 1", a typology of targeting in all three relations is presented.This shows how the attributed parameters of motivation climate, verbal aggressiveness and argumentativeness tend to be combined making out behavioral types.
The types of the "affable ambitious", the "isolated victim", the "isolated ambitious", the "lightly victimized" and the "severely victimized" are in part complementary (namely quite different from each other completing the whole behavioral patterns appearing in the students class with different parameters) and in part nested into each other (namely, the one can be subtype of the other).Particularly, the "affable ambitious", the "isolated victim" and the "lightly victimized" are purely complementary to each other, as they have no components in common.The "isolated ambitious" is in part nested in the "affable ambitious" as they in common the components of performance (improvement and surpass- ing), and in part in the "isolated victim" having the avoidance of arguing in common.The "lightly victimized" is nested into the "severely victimized" having the deriding in common while the "severely victimized" is purely complementary to the "isolated ambitious" and to the "affable ambitious".
The affable ambitious depicts a student presenting a noticeable interest to learn and to be distinct in terms of learning and improving performance.The combined attitude of both acquiring knowledge (learning) and achieving recognizable results (performance) depicts a tendency to be both perceptive to the scientific subject as cognitive structure itself and compatible to the demands set by the academic and physical education system as criteria for distinction.In other words, the "affable ambitious" students are both cognitively and institutionally affected.Simultaneously, they are susceptible to create enthusiasm and enjoyment during argumentation.It is also noticeable that this type is not significantly targeted by verbal aggressors.Apparently, these students constitute a widely acceptable example.
The "isolated ambitious" students could be considered to constitute a quasi-subtype of the "affable ambitious" type.However, the "isolated ambitious" students present only a significant tendency to achieve high performance, without showing any significant interest in learning.These students seem to gain the respect of their colleagues, as they are not targeted by verbal aggressors.However, they also do not inspire any positive feeling in argumentation while the others avoid arguing with them.This is understandable, as strict antagonistic students who are just interested in achieving antagonistic performance, without acquiring knowledge are neither perceptive nor attractive for arguments exchange.
The type of the "isolated victim" appears as the opposite end.In contrast to the "affable ambitious" type, the "isolated victim" tends just to become a target of verbal aggression.Almost all forms of verbal aggressiveness are exerted to this type.At the same time, this type does not seem to have any chance of being motivated or of developing argumentation.Thus, it remains quite isolated.
The "lightly victimized" and the "severely victimized" appear to be as complementary types to the "isolated victim".The "lightly victimized" is just a target of deriding.Deriding is a convenient form of verbal aggressiveness among physical education students, as not achieving the desirable performance in physical exercises is a quite discernible phenomenon, and, thus, a quite appropriate occasion for deriding.The "severely victimized" is not only complementary but also in part a subcase of the "isolated victim" as it also attracts rudeness and mockery additionally to deriding.It could also be seen as a normative extension of the behavior the aggressors show to the "lightly victimized".The only difference is a quantitative one.The aggressors believe that in certain cases their aggression should also be enhanced with rudeness and mockery, because only deriding might be too "light".Similar typologies have been proposed in older analyses [28] [53] [54] [55].
In contrast to "Table 1", where only targeting profiles are presented, in "Table 2" a typology of total involvement (sum of indegree and outdegree) is suggested.Three types of students are presented: the "fully integrated", the "extensive brawler" and the "isolated brawler".These types are less and also less distinctive than the types of Table 1.The second type is a subtype of the first one, and the third one is partially a type of the second one.Thus, it is a nested rather than a distinctive and complementary typology.This is reasonable, as being generally involved lets less distinguishable patterns emerge.Such nested typologies have also emerged under similar conditions in previous analyses [13] [32] [56].
The "fully integrated" students are affected by and affecting others through all parameters of the motivation climate (both learning and performing).Thus, cognitive perceptiveness and conformity to the academic criteria of performance seem to be combined.However, this tendency of full integration also includes "bad moments" of practiced and received verbal aggressiveness.This is understandable, as the extensive contacting and familiarity constructed by the cultiva-Table 1. Typology of targeting (sum of indegree, katz, pagerank and authority).

Component The affable ambitious
The isolated victim The isolated ambitious

The lightly victimized
The  The "extensive brawler" type consists only of the "deconstructive" part of the "fully integrated" type, namely of all parameters of the verbal aggressiveness.
The "extensive brawler" is the type of students who are mainly and significantly characterized by being aggressive or a target of aggression.Thus, involvement in verbal aggression may appear not only as a phenomenon induced by motivation climate but also as an autonomous phenomenon.In this case, attractive argumentation can also not be enhanced, however, without clearly avoidance of arguing.
Finally, the "isolated brawler" is a type which is a small part of "extensive brawler" completed also with mutual avoidance of argumentation.This "isolated brawler" is a type structurally quite plain (consisting of only two parameters) but the most "deconstructive" for the communication and the whole socialization.
Students who are involved in hard offenses tend also avoid and being avoided for arguing.

Conclusions, Limitations and Points for Further Research
The practical and theoretical aims of this paper can be considered to be achieved to the extent described below: In the typology of targeting, it was showed that the parameters (components) related with motivation climate, verbal aggressiveness and argumentativeness appeared as combined in certain types ("affable ambitious", "isolated victim", "isolated ambitious", "lightly victimized" and "severely victimized").These are partially complementary (namely containing no identical components) and partially nested into each other (containing identical components).All these depict a sequence of student profiles varying from quite socialized and invulnerable to clearly isolated and victimized.They also reveal the significance of seeking knowledge acquirement vs. performance.The typology of general involvement (in-and out-degree) is composed of types which tend to be rather nested into each other than complementary.They contain various behavioral profiles, from quite integrative to purely deconstructive.This typology depicts the connection of motivation climate (and the subsequently induced familiarity) with verbal aggressiveness without diminishing susceptibility to argumentation.The fact that in the typology of targeting, there are several complementary types while in the typology of general involvement mainly nested ones, can be attributed to the structural clarity of the former ones (a typology focusing only on targeting is structurally clearer than a typology of general involvement).
As in every project of empirical social research, a limitation and subsequent challenge for further research is to enlarge the sample.This can be achieved by applying the questionnaire in more and various departments in the same or different countries.Thus, a cross-disciplinary and cross-national analysis can be tried in future research.The further exploration of complementarity vs. nestedness of the types emerging by enlarging the sample is also a future research question.If the complementarity (clear demarcation of types) increases with the enlargement of the sample, this could be supposed to be evidence that the particular questionnaire has achieved to measure substantially different behavioral dimensions (divergence validity) and not behaviors which are identical or effects of common (individual or social) source.
was a class of 66 students (3 rd semester) from the Department of Physical Education and Sport Sciences of the University of Thessaly in October 2016.It consisted of 34 male and 32 female, aged from 19 to 32 (M = 19.3,SD = 0.67).The participants originated from a wide range of various regions of Greece.The questionnaires were answered during the lesson and the response rate was 100%.The discrete handling of the questionnaires was emphasized to the students.The answering lasted 20 -30 minutes.Research ethics was observed.A network sam-

Figure 1 .
Figure 1.Examples of networks of argumentativeness, motivation influence and verbal aggressiveness in students class of 3 rd semester at the Department of Physical Education and Sport Sciences, University of Thessaly, 2016.