Methods Of Mathematical Statistics Research Articles

Study on diel migration of zooplankton in the Arctic surrounding seas during summer season based on mathematical statistics

Marine zooplankton have diel vertical migration behavior and play a key role in the transport of surface organic compounds to the deep ocean, which is of great significance in studying marine climate change. In this research, the manual visual interpretation method was used to preprocess the biological backscattering intensity data of acoustic Doppler current profiler (ADCP) during the eighth Arctic expedition. Results showed that the extracted vertical migration trajectory was in good agreement with the variation of backscattering intensity data. The amount of zooplankton in the Arctic Ocean is significantly lower than that in the North Pacific and the North Atlantic, and sea ice cover has a significant effect on the diel vertical migration of zooplankton. Characteristics of zooplankton distribution in the North Atlantic Ocean were analyzed based on mathematical statistical methods. The results also prove that the backscattering intensity of -90dB can distinguish scattering layer and water, and that of -78dB can distinguish general scatters and zooplankton. There are two significant concentrations of zooplankton in the Atlantic Ocean which were located at the surface and at depths of 350-450 m, respectively.

Determination of the Characteristics of Non-Stationary Random Processes by Non-Parametric Methods of Decision Theory

This article is devoted to methods of processing random processes. This task becomes particularly relevant in cases where the random process is broadband and non-stationary; then, the measurement of a random process can be associated with an assessment of its probabilistic characteristics. Very often, a non-stationary broadband random process is represented by a single implementation with a priori uncertainty about the type of distribution function. Such random processes occur in information and measuring communication systems in which information is transmitted at a real-time pace (for example, radio telemetry systems in spacecraft). The use of methods of traditional mathematical statistics, for example, maximum likelihood methods, to determine probability characteristics in this case is not possible. In addition, the on-board computing systems of spacecraft operate under conditions of restrictions on mass-dimensional characteristics and energy consumption. Therefore, there is a need to apply accelerated methods of processing measured random processes. This article discusses a method of processing non-stationary broadband random processes based on the use of non-parametric methods of decision theory. An algorithm for dividing the observation interval into stationary intervals using non-parametric Kendall’s statistics is considered, as are methods for estimating probabilistic characteristics on the stationary interval using ordinal statistics. This article presents the results of statistical modeling using the Mathcad program.

Цифровий сторітеллінг у підготовці здобувачів професійної освіти: проблеми та перспективи

Active development of informatization and digitization processes in Ukraine requires updating the professional training of vocational education recipients in the field of light industry in accordance with trends in the labor market, searching for ways of their quality training. The purpose of the article is to justify the need to outline the ways and system of implementing methodical means of training vocational education seekers in the context of using digital storytelling. During the experiment, the content of the concepts «storytelling» and «digital storytelling» was determined; their features and peculiarities are revealed, the ways of introducing digital storytelling into the educational process of training teachers of vocational training are outlined. The presented research was carried out in two stages: theoretical (analysis, comparison and systematization of literature and regulatory documents regarding the research problem, the acquired experience of using digital storytelling among teachers of professional education; conversations and interviews with students, questionnaires, classification, generalization of theoretical data to evaluate opinions authors regarding the level of research and determining the importance of the researched issues) and practical (pedagogical observations; expert evaluation; experiment; methods of mathematical statistics, evaluation of results using methods of mathematical statistics in order to check the relevance of the provided author's methodology). The set of skills of a modern specialist is highlighted in the study, namely: complex problem solving, critical thinking, mobility, creativity, leadership qualities, time management, coordination of actions with others, emotional intelligence, judgment and decision-making, orientation service, negotiation, cognitive flexibility, digital storytelling. The following types of storytelling are identified and substantiated: text, multimedia, digital, transmedia, live storytelling. A survey of scientific and pedagogical workers of higher education institutions in different cities of Ukraine and methodologists of various specialties was conducted in order to find ways to introduce digital storytelling into the educational process. According to the results of the conducted research, the promising directions of using digital storytelling in the process of training students of professional education have been determined.

Optimisation of motor activity of senior preschool children in natural conditions by means of sports games

The article analyzes research on the problem of optimizing motor activity in children of older preschool age. An important factor affecting the health and performance of a child’s body is motor activity, i.e., the natural need for movement, the satisfaction of which is an indispensable condition for the comprehensive development of the child. Only such motor activity, which is within the limits of optimal values, is useful for the child’s body. Since hypodynamic and hyperkinesia equally negatively affect the development of a preschooler’s body, providing preschool children with a rational level of motor activity requires careful attention from specialists. Research goal – optimization of physical activity for older preschool children in natural conditions through sports games. During the experimental research, the following methods were used: analysis of special scientific and methodical literature; pedagogical experiment; control tests; methods of mathematical statistics. The results. On the basis of the analysis of scientific and methodological literature, we identified the main criteria of volume, duration, intensity of determining motor activity in children at the age of six. The level of organization in older preschool children’s motor activity was determined. A system for optimizing the physical activity of older preschool children in natural conditions through active use of sports games is presented, consisting of two stages. The work system for optimizing motor activity of older preschool children in natural conditions is presented, which includes two stages. The first stage – cognitive – involved familiarizing children with physical and health activities in the air, forming ideas about motor activity in natural conditions. The goal of the second stage in the work - the activity stage was to activate motor activity of older preschoolers in natural conditions. Practical recommendations for educators on optimizing motor activity of older preschool children in natural conditions are offered.

Показники змагальної діяльності висококваліфікованих дзюдоїстів вагових категорій 90 та 100 кг на World judo Championships-Doha 2023

Purpose: to analyse the indicators of competitive activity of highly skilled judokas of weight categories 90 and 100 kg at the World Judo Championships-Doha 2023. Material and methods. Research methods were used during the work: analysis and generalization of scientific and methodical literature; timing; analysis of protocols and video recordings of fights of highly qualified judokas of weight categories up to 90 and 100 kg; methods of mathematical statistics. We analysed 61 bouts of judokas in the weight category up to 90 kg and 47 meetings of athletes up to 100 kg. Results: the time analysis of the bouts of highly skilled judokas showed that almost half of the bouts ended early. Thus, for athletes under 90 kg, this figure is 45 %, for judokas under 100 kg – 47 %. Accordingly, the number of matches that ended within the allotted time is the smallest: 22 % for athletes under 90 kg and 19 % for judokas under 100 kg. The percentage of bouts that ended in extra time is 33 % in the category up to 90 kg and 28 % up to 100 kg. An analysis of the types of comments received by the competitors showed that the largest number of them in both categories were received for three types of penalties: not fighting (up to 90 kg – 43 % of all comments; up to 100 kg – 40 %), avoiding a grab (up to 90 kg 23 %; up to 100 kg – 10 %) and using false attacks (up to 60 kg – 9 %; up to 100 kg – 24 %). The analysis of the disqualifications of highly qualified judokas showed that out of 61 fights of athletes in the weight category up to 90 kg, 12 (19 %) ended in disqualification. It is interesting to note that 11 fights (92 %) were disqualified for punishment and 1 fight (8 %) for traumatic prohibited actions (head dipping)). In the weight category up to 100 kg, 87 fights were analysed, of which 13 (27 %) ended in disqualification. More than half of them were for penalties - 7 fights (54 %), and 2 fights (15 %) for traumatic prohibited actions (head dipping). There were also disqualifications for doctor's call - 1 fight (8 %) and no-show - 3 fights (23 %). The main effective technical actions, which are most often used by athletes of each weight category separately in the stand, floor position and lying down, were revealed. Thus, in sportsmen of a weight category up to 90 kg these are: a group of throws through a back (13 %), pick-ups (13 %), hooks (13 %), a throw through a head with a planting of a shin (12 %) and different types of holdings (a lower back - 60 %; from the side of a head - 20 %; from the side with a grip from under a hand - 20 %). In judokas of the weight category up to 100 kg these are: grabs (39 %), hooks (16 %), throws by unbalancing (9 %) and hold across the back (37,5 %). Conclusions. It was established that judokas of weight categories up to 90 and 100 kg finish most of the fights early, during the fight they receive a rather large number of remarks connected with a cautious waiting struggle for which they receive punishment for not conducting a struggle, avoiding a grip. It was found that the struggle of athletes up to 90 and 100 kg mainly takes place in the stance. It has been established that athletes in the weight category up to 90 kg are more technical and use a greater volume of technical actions in competitions. But this applies only to the stance position. If we analyze the position of the floor, lying down, then athletes of the weight category up to 100 kg, on the contrary, have a greater arsenal of technical actions in comparison with the category up to 90 kg.

Навчання основам техніки та розвитку координаційних здібностей дзюдоїстів 6-7 років за допомогою вправ з фітболами

Purpose: to increase the effectiveness of teaching the basics of technique and development of coordination abilities of judokas of 6-7 years old by means of exercises with fitballs. Material and methods. The following methods were used in the research: theoretical analysis and generalization of literary sources; pedagogical supervision over the educational and training process; pedagogical experiment; pedagogical testing; method of expert estimations; methods of mathematical statistics. Results: it is proposed to use exercises with fitballs aimed at studying the basics of technique and development of coordination abilities that corresponds to the age of 6-7 years (exercises with fitballs for studying acrobatic exercises, for studying the basics of self-insurance, for fixing the technique of unbalancing, for studying the technique of throwing over the hip and back foot, exercises for developing balance). After the experiment judokas of the experimental group improved the most significantly the scores for the performance of a roll over the right (t=3,04; p<0,05) and left shoulder (t=3,59; p<0,05), self-insurance on the right (t=3,90; p<0,05) and left side (t=3,38; p<0,05), forward balance (t=3,21; p<0,05), forward-left (t=3,21; p<0,05) and forward-right (t=3,63; p<0,05). When comparing indicators of development of coordination abilities of the control and experimental groups with each other a statistically significant difference in indicators of Romberg test (t=2,89; p<0,05) and jumps with revolutions (t=2,39; p<0,05) characterizing the level of static and dynamic balance was established. When comparing the scores between judokas of the control and experimental groups, a statistically significant difference was also found (t=3,20; p<0,05), which indicates a greater effectiveness of the means of the sportsmen of the experimental group. When performing a throw over the hip at the end of the pedagogical experiment there is a statistical increase of scores for the performance of a throw in sportsmen of the experimental group (t=4,16; p<0,05). Comparing the scores between judokas of the control and experimental groups the statistically significant difference (t=3,05; p<0,05) is also established, that indicates the greater efficiency of means of sportsmen of the experimental group which improved indicators connected with the performance of technical actions forward, such as removal from balance and throw over a hip. Conclusions. It is experimentally established that with the help of the offered means it is possible to teach effectively such difficult technical actions as self-insurance on the right and left side, unbalancing forward, forward-side, throw back foot, throw over a thigh, to develop static and dynamic balance, also they will allow to improve the performance of technical actions in both directions

Зміни самомотивації українських кікбоксерів 13-15 років в умовах пандемії коронавірусу та воєнного стану

Purpose: to assess the level of self-motivation of Ukrainian kickboxers aged 13-15 in the context of the coronavirus pandemic and martial law. Material and methods. Theoretical analysis of scientific and methodological literature, questionnaires, pedagogical research, methods of mathematical statistics. The theoretical analysis of scientific and methodological literature was carried out throughout the study. The next stage is the beginning of the pedagogical research, within which the control and experimental groups were selected. The selection of groups was realized on the basis of the results of an online survey conducted in May-June 2022 and covered 42 respondents (kickboxers aged 13-15 years old, qualified as 1st category and candidates for master of sports, representatives of the martial arts club «Athlete» (Kyiv), training program, age, qualifications of which correspond to the curriculum of sports schools in kickboxing). The survey was conducted online using a Google form according to the methodology of identifying the level of self-motivation of athletes to achieve high sports results. The questionnaire contained 14 statements. The reliability of the results and the determination of the homogeneity of the groups were carried out according to the Mann-Whitney criterion. Results: a thorough analysis of the scientific and methodological literature allowed us to state that the conditions in which sports in Ukraine found itself after the introduction of martial law prompted the search for new ways to overcome the motivational crisis among athletes in unfavorable social and social circumstances. The study showed that the level of self-motivation of skilled kickboxers was recorded mainly within the low and medium range. The results of the survey indicate that only 9,5 % of the surveyed kickboxers were able to maintain a high level of self-motivation in competitive activities. Despite the crisis conditions they are currently facing. Instead, 23,8 % of respondents are at a low level of self-motivation in competitive activity, which encourages an active search for ways to solve these problems. Conclusions. The analysis of special scientific and methodical literature revealed insufficient data and methodological developments aimed at increasing the level of self-motivation of kickboxers in preparation for competitions. Thus, the introduction of new scientific approaches to the formation of motivation and self-motivation for competitive activity in the training of kickboxers living under martial law is currently a very relevant area of research.

Preparing students – future teachers to minimize deviantogenic threats from the digital space

Introduction. The prevalence of deviant behavior in the modern youth environment is recorded by official statistics and data from relevant departments. In this regard, the prevention of deviant behavior of children and youth is one of the most pressing issues for pedagogical science and practice. The research topic is relevant because at present the media and information space is one of the main sources of deviance of the younger generation and the educational forces of society are in need of purposeful minimization of deviantogenic threats from the digital environment. Purpose of the study: substantiation of the training program for future teachers for the implementation of the deviantological component of media and information literacy of schoolchildren and their parents. Materials and methods. The total sample of the study was 182 people in the experimental group (hereinafter referred to as the EG) and 123 people in the control group (hereinafter referred to as the CG). In the EG - 12 boys (6.6%) and 170 girls (93.4%). In the CG there were 5 boys (4%) and 118 girls (96%). At the time of the first stage of the study, the respondents were aged 18-23 years. All subjects are students of the training areas: "Pedagogical Education", "Psychological and Pedagogical Education" and the specialty "Pedagogy and Psychology of Deviant Behavior" of the Faculty of Pedagogy, Psychology and Communication Science of the Kuban State University. At the control stage (5 years after graduation), the sample is represented by 73 graduates who participated in the previous stages: 44 people from the EG (5 boys and 39 girls) and 29 people from the CG (1 boy and 28 girls). Methods of mathematical statistics: Pearson's chi-squared test (χ2 ). Research results. At the formative stage, within the framework of these disciplines, a program was implemented to prepare students for the formation of the deviantological component of media and information literacy among schoolchildren and parents. Differences were recorded between the indicators in the experimental group before and after the formative stage. When comparing the results of a survey on the impact of media products on adolescents before and after the experiment, the calculated value of Pearson's chi-squared test was χ2 emp = 136,876 (p≤0,01). When studying the answers about trying to understand and evaluate the interests and goals of the creators, χ2 emp = 132,780 (p≤0,01) was obtained. Studying the answers to the question about the critical understanding of values and attitudes that are embedded in the media product, in the experimental group, χ2 emp = 167,656 (p≤0,01) was obtained. Comparing the results of the answers to the question about the need to prepare a modern person for a critical analysis of media products, the value of the criterion was χ2 emp = 127,641 (p≤0,01). Conclusion. The prospect of the study is the addition of the methodology for deviantological analysis of media products, as well as the creation of a digital platform for using the methodology and placing training materials to scale the experience.

Development of older preschool children’s coordination abilities by means of basketball

The purpose of the work is to substantiate theoretically and verify experimentally the effectiveness of the system of work on the development of coordination abilities of older preschool children by means of the basketball game. Material and methods. 24 children of older preschool age participated in the study (two groups). At the ascertainment stage, two groups of older preschool children were formed (control (CG) – 12 children and experimental group (EG) – 12 children). CG and EG worked according to the educational program «Confident Start», but in EG a system of work on the development of coordination abilities of older preschool children was implemented by means of playing basketball. During the research, the criteria, indicators and levels of development of older preschool children’s coordination abilities were developed. Research methods: theoretical analysis of scientific and methodological literature, pedagogical experiment, control tests (investigation of the level of development of balance using the «Flamingo» method; the level of development of coordination using the «Shuttle Run» 3x10 m2; the level of development of dexterity using the «Throwing and Catching a Ball» method), methods of mathematical statistics. The results. At the ascertainment stage of the pedagogical experiment, the following indicators of the general level of development of older preschool children’s coordination abilities were obtained: in CG, 26 % of children possessed a high level of development of coordination abilities, 32 % had an average level, and 42 % had a low level. In EG, 26 % of children also had a high level of development of coordination abilities, 31 % had an average level, and 43 % had a low level. Attention was drawn to the fact that the indicators of CG and EG were at the same level. At the formative stage of the pedagogical experiment, a system of work on the development of coordination abilities of older preschool children by means of the sports game basketball called «Basketball for pre-schoolers» was developed This work system was implemented in three stages: preparatory, main and final. Each stage included the development of activities with children, teachers and parents. At the control stage of the experiment, the following results were obtained: in CG, 38 % of children had a low level of coordination abilities, 34 % had an average level, and 28 % had a high level. In EG, 21 % of children had a low level of coordination abilities, 42 % had an average level, and 37 % had a high level. Thus, we observed a significant improvement of indicators in EG; indicators in CG remained almost at the same level as at the ascertainment stage. Conclusions. The implemented system of work on the development of older preschool children’s coordination abilities by means of basketball has proven its effectiveness. The final results of the study have confirmed the proposed hypothesis and shown that the use of the basketball game in the process of physical education and health work in preschool education institutions is effective.

Аналіз змагальної діяльності висококваліфікованих таеквондистів на Чемпіонаті Європи 2023

Purpose: to analyze the competitive activity of highly skilled taekwondo athletes at the European Championships 2023. Material and methods. The following methods were used in the research: analysis of scientific and methodical information and sources of the Internet; video computer analysis of competitive activity of highly skilled taekwondoists; methods of mathematical statistics. To analyze the fights, a specialized computer program «Martial Arts Video Analysis» was used. The research analyzed 56 rounds (28 competitive fights) of highly qualified taekwondo fighters in weight categories in the range of 58-92 kg of the European Taekwon-Do ITF Championship. Results: the analysis of scientific and methodical publications and sources of the Internet determined that scientific and methodical support of training of highly skilled taekwondo fighters requires the increase of efficiency of technical and tactical training and its further improvement. On the basis of the analysis of the competitive activity of highly qualified taekwondo fighters, it was found that some winners performed significantly more technical actions than those who lost (by 72,2 %); fight winners achieved higher scores (on average by 7 points) and had higher efficiency of actions compared to those who lost, but the level of variability in these indicators in winners (V=28,5 %) and losers (V=22,0 %) is quite significant, and it is important to take into account the abnormal distribution of results; the efficiency of technical and tactical actions of the winners during the fight increases (76,7±12,64, V=16,5 %), and of the losers - decreases (26,7±21,73, V=81,4 %); time intervals between technical actions in winners amounted to 32,7±6,26 (V=19,1 %), in losers - 35,4±6,33 (V=17,8 %); the number of various effective actions in winners amounted to 4,2±0,82 (V=19,5 %), in losers - 3±0,61 (V=20,3 %); most often athletes perform a blow with the hand closer to the opponent (5,8 times), the effectiveness of this action is 11,2 % and brings 1.4 points; the blow «Yop chagi (upper level, the leg is closer to the opponent)» is performed less often, only 1,6 times, but has a much higher efficiency – 17,5 % and brings 2 points. Conclusions. The analysis of fights of highly skilled taekwondoists of weight categories in the range of 58-92 kg at the European Taekwon-Do ITF Championships allows to optimize the training process and is a prerequisite for the development of new approaches of training. It is established which technical and tactical actions of highly qualified taekwondo athletes of different weight categories contributed to the achievement of maximum results: for weight categories 58-71 kg - a punch «Dollo chagi (medium level, the leg is closer to the opponent)» and a punch in a jump; for weight categories 78-92 kg - a punch with a hand closer to the opponent and «Dollo chagi (medium level, the leg is far from the opponent)».

Техніко-тактичний арсенал борчинь сумо на 14-ому чемпіонаті світу

Purpose: to determine the technical and tactical arsenal of sumo wrestlers based on the analysis of competitive activity at the 14th World Championship in 2019. Material and methods. The following methods were used to solve the research tasks: analysis of scientific and methodological information and Internet networks, generalization of best practical experience, analysis of protocols and video recordings of sumo wrestling bouts, the method of mathematical statistics. A total of 111 matches were analyzed at the 2019 World Cup held in Osaka (Japan). Results: on the basis of the analysis of scientific and methodological information, Internet sources and the generalization of best practical experience, it was determined that the problem of analyzing competitive activity and identifying the main technical and tactical actions in sumo is relevant for conducting research. Based on the analysis of the competitive activity at the 14th World Championship in 2019, 20 main technical and tactical actions (TTА) were determined, which were most often used by sumo wrestlers: yoritaoshi (21,7 % of all TTА), yorikiri (19,8 %), uwatenage (13,5 %), osidashi (10,8 %), tsukyotoshi (5,4 %), tsukidashi (4,5 %), hatakikomi (4,5 %), hikyotoshi (4,5 %), sitatenage (3,6 %), tsukuinage (2,7 %), tsukitaoshi (0,9 %), kotenage (0,9 %), sitatedasinage (0,9 %), uwatedasinage (0,9 %), uwatehineri (0,9 %), utigake (0,9 %), watashikomi (0,9 %), ositaoshi (0,9 %), okuridashi (0,9 %), kimedashi (0,9 %). Conclusions. It was established that the largest number of technical and tactical actions was carried out from the kihonwadza classification group (59 %), followed by nagete (22 %) and tokushuwadza (11 %). The least number of conducted TTА were from the Hinerite (6 %) and Kakete (2 %) groups. Sumo wrestlers of the national team of Ukraine had 29 bouts at this world championship, of which they won 25 bouts. Ukrainian women have three gold and two silver medals. The most used technique of Ukrainian women was yorikiri, it was performed 5 times (20 %). The least number of times Ukrainian women performed tsukitaoshi, tsukyotoshi, hikyotoshi, okuridashi, they were used 1 time each (4 %).

Ефективність змагальної діяльності в хортингу

Purpose: to investigate the efficiency of the competitive activity of skilled sledders in the competitive section «duel». Material and methods. The following methods were used in the research: the analysis and generalization of data of the special scientific literature; the analysis of protocols and video recordings of the competitive activity of the qualified greyhounds; methods of mathematical statistics. The competitive activity (47 fights) at the championships and cups of Ukraine in 2021-2023 in the section «duel» in all weight categories of male athletes among adults (18 years and older) was studied. Results: the study of competitive activity showed that 67 % of the time of fights in the competitions in the field of hornting is held in the stand, and 33 % in the floor. Scoring points in the ground can be obtained by holding (1 and 2 points) and strikes that hit the opponent (1 point). From the stand-up position, the athletes scored 54 points (65 %), and 29 points (35 %) in the ground. In 31 % of the fights, the victory was achieved by scoring points, 31 % by painful techniques, 23 % by choking techniques and 15 % by knockout blows. An early victory in the sport of horting is possible by executing an effective painful or choke hold, a knockout punch, and one of the athletes scoring 6 points. The distribution of early wins by competition round shows that in the first round, 67 % of athletes won. In the second round, athletes achieved early victories in 33% of the matches. In 45 % of the fights, the athletes achieved an early victory through painful techniques. Of these, 75 % were arm holds and 25 % were leg holds. In 33 % of the fights, the athletes achieved victory through choke holds. The winner was determined by knockout in 22 % of fights. Conclusions. Adult male athletes use striking and wrestling techniques in the fights of the «duel» competitive section. The most effective technique for achievement of victory by points and early victory is a wrestling technique. In competitive fights in a stance, the most effective throws are those with a leg grab. Insufficient mastery of wrestling technique leads to the defeat of an athlete in the first round by a suffocating or painful hold. It is determined that transfers to the ground are not evaluated by judges, but create conditions for the further implementation of holds, painful and suffocating techniques. In the ground, the most effective are painful arm holds and chokes. Striking techniques are used mainly as a preparatory technique for throws and painful and suffocating holds. In the second round, the importance of performing holds increases.

Conative gamification model for psychological diagnostics and identification of risk zones of deviant behavior in educational institutions

Introduction. In the modern world, new methods of teaching and upbringing in the educational process are being created, new technologies are associated with the creation of digital methods of modeling the environment: interactive tools. Simulation-based learning methods are more common, which is a new tool that can potentially replace and enhance the real experience in a fully interactive way. The central trend in the educational institution is the transition to new methods that are integrated into the digital environment. The purpose of the article is to create a model of gamification of psychological diagnostics and identification of risk zones of deviant behavior in educational institutions. Methods. Within the framework of the strategic academic leadership program «Priority 2030», we conducted studies of deviant behavior of schoolchildren (n=85) and students (n=125). The following methods are used: diagnostics of the level of empathic abilities of V. V. Boyko; methodology of T. Adorno, E. FrenkelBrunswick, D. Levinson, R. Sanford «Scale of fascism»; methodology for identifying the «bullying structure» of E. G. Norkina. Methods of mathematical statistics: factor analysis by the method of principal components, regression analysis. Research results. Six components that make up the conative model of identifying risk zones of deviant behavior are identified: «Self-destruction», «Tendency to violate norms», «Susceptibility to right-wing extremism», «Cognitive distortion», «External aggression», «Pathological personality». A regression equation has been compiled, which gives the probability of prediction, where 94% accuracy of prediction, thereby determining that the scale of fascism is determined by two variables: authoritarian aggression and authoritarian submission. Other empirical facts have also been established to explain the model based on cognitive empathy. The management of the Penetrating ability in empathy can change the structure of bullying, reduce the number of aggressor's assistants, because it is positively interrelated with the role of defenders of victims (r=0.19; p<0.05). Conclusion. The components that reflect the diagnostic potential of the gamification model for identifying risk zones in the educational institution of students are fixed. Based on the selected components, you can create a program using the regulatory framework.

Порівняльний аналіз показників загальної фізичної підготовленості кваліфікованих боксерів різних манер ведення поєдинку

Purpose: to carry out a comparative analysis of indicators of the general physical fitness of skilled boxers of different manners of conducting a fight. Material and methods. The following research methods were used in the work: theoretical analysis and generalization of scientific and methodical literature; pedagogical research; pedagogical testing; methods of mathematical statistics. The research was conducted on the basis of Children and Youth Sports School № 9 (Kharkiv) and Children and Youth Sports School № 2 (Poltava). The research involved 25 skilled boxers aged 17-19 years old, of different manners of conducting a fight. The sportsmen were divided into 3 groups according to the manners of conducting a fight: «game players» (7 boxers), «tempo boxers» (12 boxers), «power players» (6 boxers). Physical abilities of boxers were tested according to the curriculum for children's and youth sports school in boxing. Results: the results of indicators in testing «Running on 1000 m» between «game players» and «power workers» are reliable (t=2,49; p<0,05), between «power workers» and «tempo workers» there is also a statistically significant difference (t=3,16; p<0,01), between indicators of «game players» and «tempo workers» reliability was not observed (t=1,10; p>0,05). In indicators of the test «Running on 100 m» between «game players» and «power players» the statistically significant difference is observed (t=2,22; p<0,05), between «power players» and «tempo players» also the statistically significant difference is observed (t=4,59; p<0,001), between indicators of «game players» and «tempo players» the reliability is not observed (t=1,39; p>0,05). In the test results of the test «Shuttle run 4×9 m» between «players» and «power men» there is a statistically significant difference (t=3,20; p<0,01), in «powermen» and «tempo men» the result was less expressed (t=2,08; p<0,05), between indicators of «players» and «tempo men» reliability was not observed (t=1,08; p>0,05). When performing the test «Hang on bent arms (angle at the elbow 900)» only «power» and «tempo» boxers had reliability (t=3,04; p<0,01), in all other boxers of different manners of conducting a fight reliability of indicators was not observed (p>0,05). In the results of testing «Torso tilt forward from a sitting position» a statistically reliable indicator was observed only between «game players» and «power men» (t=2,35; p<0,05), «power men» and «tempo men» (t=2,22; p<0,05). Conclusions. The conducted research allowed to establish that sportsmen of «power» manner of conducting a fight have more expressed high-speed and power preparation, but do not have significant results in power endurance. Athletes of the «tempo» manner have more pronounced results in high-speed movements and in endurance exercises. Sportsmen of the «game» manner of conducting a fight have the best indicators in all tests as evidenced by the obtained results.

Сучасні технології для визначення ланок тіла борців

Purpose: to determine the effectiveness of using modern computer vision technologies to determine the body parts of wrestlers in competitive activities. Material and methods. The following methods were used in the research: analysis of scientific and methodical literature and Internet sources, analysis of video and images with the help of computer vision (Computer Vision, Machine Learning), methods of mathematical statistics. The final bout in the 65 kg weight category at the 2021 Tokyo Olympics in freestyle wrestling was chosen for analysis. The total number of video fragments was 1763 images. The Yolo machine learning model was used to detect faces, and Google's MediaPipe model was used to detect body parts. For each athlete, 21 body parts were identified. Results: the accuracy of identifying athletes' body parts was obtained: all indicators were above 78 %. The results of the analysis showed that the lower limbs are better identified: hip, knee, ankle, etc. The identification accuracy is above 90%. At the same time, the identification accuracy of the upper limbs is lower. In our opinion, this is due to the fact that athletes spend a sufficient amount of time in the grip and preparing for an attack during the fight. During this time, certain parts of the upper limbs are closed for identification. Analysis of the results of the number of unidentified images showed a similar trend to the identification accuracy. Most of the unidentified body parts were associated with the upper limbs (more than 25 %). At the same time, 10 to 12 % of the body parts associated with the delicate limbs were not identified. Conclusions. The analysis of results of the use of modern technologies of computer vision for determination of links of a body of wrestlers in competitive activity is carried out. The algorithm for studying the body parts of athletes had two stages: the first stage is to determine the area of the image fragment (video) where the athletes are located and the second is to determine the body parts of each wrestler. At the first stage of the study, it was possible to identify both athletes in 79,5 % of the images. The analysis of the accuracy of the athletes' body parts identification showed that the body parts of the lower limbs are better identified than those of te right limbs. This is due to the peculiarity of competitive activity. The visual analysis of the images showed that a certain part of the identified links do not coincide with the actual location of the athletes' body links.

Approbation of the Russian version of the Body Investment Scale (BIS)

Introduction. Modern psychological research requires constantly expanding the diagnostic apparatus which is transformed and supplemented depending on current issues of scientific and societal development. Among these diagnostic issues are problems associated with self-awareness and body awareness, with self-destruction and with human body boundaries, which underlie a person’s ideas about themselves. Materials and Methods. The 2022 study included 866 participants of both sexes, aged 13-41. Of these, 263 participants had various forms of deviant behavior, including self-destructive behavior. The control sample comprised several subgroups (respondents of different educational levels, age and lifestyle) and amounted to 603 people. Research methods included: specialized literature review, testing, and data interpretation and analysis. The study was based on the BIS created by I. Orbach and M. Mikulinser to study the emotional processes associated with a person’s attitude towards their body, as well as to identify markers of self-destructive and suicidal behavior. The mathematical statistics methods were as follows: principal component analysis with varimax rotation, Ward's method, and Cronbach's alpha coefficient. Results. The obtained results revealed that factor and cluster organization of the questionnaire confirm the original author’s version and allow using not only the integral indicator but also subscale components such as bodily care, self-acceptance, body protection, hostility towards one’s body, risk-taking, tactile comfort, and distance control, all allowing for a more differentiated approach to assessing various behavioral deviations. Cronbach's α coefficient analysis (0.831) also confirmed the reliability of the BIS. Conclusion. An initial check of the BIS by main psychometric indicators reveals a possibility of using its Russian version to assess both individual bodily experiences and attitudes towards one’s body as a whole.

Research on Tolerance Optimization of High Precision Equipment Assembly Based on Error Transfer Prediction Model

In this paper, the assembly error transfer prediction model was established based on the error transfer attribute and the error transfer path of the assembly process. The assembly accuracy prediction was realized by combining error variation inequality, constraint inequality and mathematical statistics method. Aiming at the lowest processing cost of high-precision equipment assembly, the assembly accuracy required the reliability of index, the value interval of tolerance item and the principle of tolerance selection as constraints, the tolerance optimization model was established. The tolerance optimization of high-precision equipment assembly was carried out by combining the penalty function method and the improved genetic algorithm. Finally, taking gear oil pump assembly as an example, according to the reliability calculation formula of assembly accuracy, the reliability is 97.35%. Compared with the processing cost before and after optimization, the processing cost decreased by 12.13% after optimization, and the assembly accuracy reliability increased by 1.65%. The correctness and effectiveness of assembly accuracy prediction and tolerance optimization are verified.

Analyzing the effectiveness of traditional means of basic physical education while training primary school children

Introduction. Physical education of the younger generation is a vital part of modern education. Prevalence of physical inactivity among children and young people nowadays is a serious issue and one of the main causes of such negative phenomena as obesity, diabetes, hypertension, and infant mortality. In this regard, physical education at school is a key factor for forming a healthy society as a whole, since it is the most accessible and widespread form of involving children in physical activity and sports, which in turn are the most effective means of improving health and combating physical inactivity. These facts require new and effective means and methods of physical training for children precisely in physical education at school, especially in the lower grades as these make the first stage of a healthy lifestyle. The study aims to experimentally substantiate the effectiveness of traditional means of physical education in basic physical education while training primary school children. Materials and methods. 20 first-grade schoolchildren from Municipal Budgetary Educational Institution ‘Secondary School No. 8, Grozny’ (Russian Federation) took part in the experiment. To assess the impact of traditional means of physical education on the dynamics of physical fitness of first-graders in experimental groups, GTO standards tests were selected: standing start running 30 m (sec.); standing long jump (cm); horizontal pull-ups on a low bar (number of times); throwing a small ball at a target at the distance of 6 m (number of points); bending forward from the standing position on a gymnastic bench (cm). Mathematical statistics methods: descriptive statistics (arithmetic mean, standard deviation); Student's t-test. Results. After statistical processing of the results by type of test, the following significant differences were found between the experimental and control groups: in standing long jumps, the average performance in the experimental group was 12 cm better than in the control group (t = -2.759; p = 0.009); in horizontal pull-ups on a low bar, the average result in the experimental group was 3 repetitions better than in the control group (t = -2.488; p = 0.017); in ball throwing, the average score in the experimental group was better than in the control group (t = 4.119; p = 0.000); in bending forward from the standing position on a gymnastic bench, the average score in the experimental group was almost 1.5 cm higher than in the control group (t = -4.775; p = 0.000); in shuttle run (3x10 m. (sec.)), the average score in the experimental group was 1 second better than in the control group (t = -2.324; p = 0.027). Conclusion. The research results prove that introducing traditional games and physical exercises into basic physical education while training primary school children is an effective approach for improving physical education in primary school. These methods help achieve better results in developing physical qualities and raising the level of physical fitness in children of this age.

Статистический анализ и прогнозирование производственного травматизма на предприятии машиностроения

Statistical analysis of injuries was carried out at one of the largest enterprises in the Rostov region for the period from 2011 to 2022. Various factors influencing the indicators of the degree of hazard of working conditions when designing machines and units are covered. The analysis data on the number of victims of industrial injuries by gender, age and work experience in the organization, as well as on the number of victims by type of injuries and by profession, as a result of which it was revealed that the most at risk of injury are employees of the professions «Locksmith», «Driver», «Carpenter» and «Blacksmith» aged from 36 to 50 years with work experience from 6 to 20 years. The data on the number of victims for the reasons that led to an injury at work are analyzed, on the basis of which, of all the causes of injuries at the plant, unsatisfactory organization of work and violation of labor production discipline can be identified as the main ones. The methods of mathematical statistics revealed the relationship between the number of injuries and indicators that affect the degree of hazard of production, on the basis of which the efficiency of measures to regulate and reduce injuries was assessed. The most probable values of the number of injuries that may occur in the next 8 years were obtained.

Emotional stimulus of teaching foreign-language reading in a secondary school. Part 1

The problem for the research. Foreign-language reading provides favorable opportunities for a student’s holistic development. However, in today's teaching practice, there is a situation of mismatch between the “knowledge” ways of achieving the goals of the lesson and the emotional factor. There is an obvious contradiction between the recognition of the effectiveness of reading as a means of a personality’s spiritual development in the unity of all his/her spheres and the primacy of intellect and will in school teaching practice. Methods of investigation. 52 seventh-graders of secondary school No. 11 in Kirov (Russian Federation) took part in the experimental work. To obtain the subject results of the experiment (in the field of foreignlanguage reading), the method of calculating the success rate (V. P. Bespalko, A. N. Shamov) was applied; metasubject and personal results – the questionnaire “Formation of universal educational actions” by L. I. Timonina. Processing the results, statistical methods were used: standard deviation, t-criterion. The findings of the study. The results of the final control showed that the level of proficiency in subject educational results increased in 78% of students; metasubject – in 70%; personal – in 81%. The reliability of the results is confirmed by the use of mathematical statistics methods for subject, metasubject and personal results. Conclusion. The components of the emotional stimulus are characterized, and the effectiveness of its model in teaching foreign-language reading in a comprehensive school is proved (on the materials of the middle stage). Keywords: foreign-language reading, teaching conditions, external conditions, internal conditions, an emotional stimulus, stimulus components.