Background: The purpose of this research was to investigate the relationship between cognitive abilities and manual coordination and balance in preschool children. Methods: The sample consisted of 41 preschool children aged 6.4±0.8 on average, of both sexes (30 boys and 11 girls). On top of their regular preschool activities, the children attended a school of sports for preschool children - multisport activities and exercises, twice a week. The sample of measuring instruments comprised 4 motor tests (One-leg stand test, Mann’s test, Finger to nose, Front raises) and 2 cognitive tests (Raven's Colored Progressive Matrices, Cognitive Assessment System). Data was analyzed by applying Linear and Binary logistic regression analysis. Results: Based on the results of the research, one may conclude that there is a statistically significant relation between cognitive abilities and manual coordination in the tested sample of preschool children. The defined predictor system, which consisted of cognitive tests, showed a significant relationship with the hand coordination test, which was assessed by the Finger to Nose test with the eyes closed. A significant contribution to the established relation was given by the G factor estimated by Raven's colored progressive matrices. Conclusions: Physical activities contribute to the development of motor skills and thus to the development of some cognitive abilities in children, which is of great importance for their further development.

Given that anxiety is a significant individual disposition that affects sports performance, this study aimed to verify the latent variables obtained by the State – Trait Anxiety Inventory X-2, and to compare the obtained factor solutions with the proposed model of latent variables. The second aim refers to the presentation of the results of the questionnaire State – Trait Anxiety Inventory X-2 answered by Serbian male and female handball players. The research was conducted on a sample of 170 respondents, 99 male and 71 female handball players, aged 14 to 39 years (average age = 21.9) with an average handball playing career of 9.39 years. Towards the end of 2019, the respondents filled in the above-mentioned questionnaire used to assess anxiety as a personality trait. Exploratory factor analysis with certain modifications of the algorithm was applied to determine accurately latent space. The overall analysis was performed using the R statistical package. Four factors were selected based on the conducted factor analysis of the latent space of the questionnaire. Ten, five, three and two items are projected on the first, second, third and fourth factor respectively. Since internal reliability of the fourth factor was 0.394 it was excluded from further consideration and interpretation. The achieved scores on four separate factors show that Serbian male and female handball players achieve average results on the first (Presence of Trait anxiety) and the third factor (Absence of proactivity), while they achieve scores above the average on the second factor (Positive affect). In order to examine the sex differences between the examined variables, a one-way analysis of variance was performed. The findings show that there is no statistically significant difference on all three factors between the scores achieved by male and female handball players. A statistically significant difference between handball players of different competitive ranks appeared only on the Positive affect factor between the top athletes and the athletes in the second league (p = .04).