Three-point Shots Research Articles

The timing of vision in basketball three-point shots.

The aim of the present study was to explore the relationship between gaze behaviour, motor responses and the direction of visual attention when different levels of basketball players were engaged in a basketball three-point shot. Twelve near-experts and 12 amateur basketball players, wearing an eye tracker and an inertial sensor, performed 20 shots on a basketball field, receiving the ball from a teammate, who then acted as the opponent. The trial sequence was subdivided into catching, aiming and ball flight phases. The analysis demonstrated that near-experts exhibited longer fixation durations and saccades of lower amplitude and peak velocity than amateurs. The gaze behaviour showed that all players utilized fixations during the last part of the catching phase, during most of the aiming phase, and during the final part of the ball flight phase. The greatest number of saccades was exhibited between the aiming and the ball flight phases, when the ball was released by the players. Saccades were oriented toward the teammate during the catching phase. Instead, during the aiming and ball flight phases, saccade orientations were not polarized toward a specific visual cue. In conclusion, vision plays a critical role in every aspect of the three-point shot in basketball, from catching the ball, to aiming preparation, and shot execution. It is a key factor in decision-making, spatial awareness, and overall performance in team sports.

The “three-point shooting paradox”: An artifact or a real phenomenon? Replication with large-scale National Basketball Association (NBA) data

Psychological science is often being criticized for failing to reproduce some of its findings. Considering this critique, Iso-Ahola (2024) argues that it is important to establish a demarcation line between artifact and a real phenomenon, recognizing that psychological phenomena are not constant particles that can be definitively declared to exist or not exist upon discovery. In this brief paper, we utilize newly available large-scale data to replicate a finding by Lidor et al. (2022), who reported a psychological effect wherein professional basketball players shoot better under tight defensive pressure rather than free of it. The current analysis of 781,663 three-point shots over 11 seasons in NBA (as compared to 382 shots taken by 12 players during 12 games in the original study) failed to support the idea of the three-point shooting paradox but instead strongly supports the commonsense hypothesis that tight defense hinders shooting performance.

Noisy condition and three-point shot performance in skilled basketball players: the limited effect of self-talk.

In modern basketball, the three-point shot plays an important tactical role. Basketball players often face the distraction from audience and opponents, necessitating psychological skill to maintain their performance. The study examined the effects of self-talk interventions on the three-point shot performance under quiet and noisy conditions. It involved 42 national second-level basketball players and used a 2 (Condition: quiet condition, noisy condition) × 3 (Intervention: control group, motivational self-talk, instructional self-talk) mixed design to investigate the performance of the static and dynamic three-point shots tasks. The results revealed that the static three-point shot score was significantly lower in noisy condition compared to quiet condition (p = 0.016), while the main effect of Intervention and the interaction effect of Condition × Intervention were not significant. Post-hoc analysis indicated that only the control group showed significantly lower scores in the noisy condition (p = 0.043). For the dynamic three-point shots performance, there were no significant main effects of Intervention or Condition, nor any significant interaction effect between Condition and Intervention. In conclusion, noise distraction negatively affects the static three-point shots task, and although self-talk interventions can mitigate such negative effects, their effectiveness is limited for dynamic three-point shots task with high physical demands.

Kinematic Differences Based on Shooting Proficiency and Distance in Female Basketball Players.

The purpose of the present study was to examine differences in kinematic characteristics between (a) proficient and non-proficient two-point and three-point shooters, (b) made and missed two-point and three-point shots within a proficient group of shooters, and (c) shots attempted from two-point and three-point shooting distances. Eighteen recreationally active females with previous basketball playing experience attempted 10 two-point (5.10 m) and 10 three-point shots (6.32 m) while facing directly to the basket. To eliminate the possible influence of fatigue, each shot was separated by a 5-10 s rest interval. Participants who made ≥50% of their two-point and ≥40% of their three-point shooting attempts were classified as proficient. A high-definition video camera recording at 30 fps and video analysis software (Kinovea) were used to obtain the kinematic variables of interest during both the preparatory phase (PP) and release phase (RP) of the shooting motion. The results indicate that proficient two-point shooters attained less hip and shoulder flexion during the PP and had greater release height and vertical displacement during the RP. Hip angle differentiated made from missed two-point shots within the proficient group of shooters, with made shots being depicted by less hip flexion. Significantly greater vertical displacement was observed in proficient three-point shooters during the RP. Additionally, the greater elbow and release angles separated made from missed three-point shots within the proficient group of shooters. In response to an increase in shooting distance, hip, knee, ankle, and shoulder angles during the PP all decreased. Moreover, an increase in shooting distance caused a decrease in release angle and an increase in vertical displacement during the RP, while the relative release height remained unchanged.

General Form Equation for the Most Energy-Efficient Basketball Shot

Although ball shooting is one of the fundamental skills of basketball, it is energy intensive and exhausts players quickly. Because of this, effective shooters will have less time to play on the court, which can be the difference between winning and losing for basketball teams. In the National Basketball League (NBA), pride, expectations, and millions of dollars in investments are at stake, making winning all the more critical. Improving basketball shooting accuracy may provide the most robust path forward to increasing team-specific wins. So, to boost shooter performance, we derived an equation that calculates the optimal velocity to shoot a basketball from every position on the court. This ‘optimal’ velocity minimizes a shooter’s energy expenditure so players can conserve their energy and stay effective in the game longer, boosting their team’s chances of winning. We used Newton’s second law and kinematics, vector algebra, and calculus to derive the optimal velocity equation and ultimately implemented it in Python for public use. We concluded that the optimal angle for mid-range shots (3 to 5 meters) is 55 to 51 degrees and 49 to 47 for three-point shots.

Content and Structure of Competitive Activities of Young Basketball Players Aged 13-14

The study purpose was to determine the technical-and-tactical indicators of young basketball players aged 13-14 in the process of competitions and to develop recommendations for assessing the competitive activities of young basketball players. Materials and methods. The study used the method of pedagogical observations during competitions with recording in a specially developed protocol the following indicators of competitive activity of young basketball players: throws to the basket in motion, two- and three-point throws, free throws, quick breakthrough, positional attack, struggle for rebounding the ball, interception of the ball, “goal assists”, technical errors, and other losses of the ball. Results. As shown by the results of studies of such a technical indicator as throwing the ball into the basket in motion, young basketball players aged 13-14 have the highest accuracy in hitting the basket in this technique of the game – 49.1%. Moreover, the hit percentage (51.6) is higher in the first half of the game than in the second half (46.6) with a high significance level of the difference (p>0.99). A similar situation is observed when making two- and three-point shots from the distance. Studies of the effectiveness of free throws have shown that, on average, basketball players aged 13-14 make 14.1 free throws, of which 7.1 hit, which is 52.2 %. Studies have shown that the number of quick breakouts averages 8.45 per game (5.18 in the first half and 3.27 in the second half). The number of possessions of the ball in the fight for the rebound on own backboard is 14.9 times, and on the opponent's backboard – 13.36. The average number of “goal assists” per game is 4.36, ball interceptions – 8.18, technical errors – 15, and other ball losses – 9.54. Conclusions. Studies of technical-and-tactical indicators of young basketball players during competitions have shown that their role is underestimated in the practice of training young basketball players. The training programs for basic training groups (aged 13-14) shall include in full all technical-and-tactical indicators, and especially throws in motion from under the backboard, two- and three-point shots, “goal assists”, free throws, ball losses, interceptions, block shots, struggle for rebound, indicators in a quick breakthrough and in a positional attack, the number of points conceded, etc. It should be noted that there is a higher number of technical-and-tactical indicators in the first half of the game, compared to the second half, with a high significance level of the difference between the indicators. This indicates the growing fatigue of young basketball players and the need to find ways to improve the system of training speed endurance and throwing techniques in a state of fatigue.

DIFFERENCES IN GAME-RELATED STATISTICS BETWEEN WINNING AND LOSING TEAMS IN NCAA DIVISION-II MEN’S BASKETBALL

Knowing how to design training regimens and modify offensive and defensive strategies to accurately resemble on-court competitive demands can help the team secure the winning game outcome. Thus, the purpose of the present study was to examine differences in game-related statistics between winning and losing teams at the National Collegiate Athletic Association (NCAA) Division-II level of men’s basketball competition and determine which performance parameters have the greatest impact in differentiating between winning and losing game outcomes. The data scraping technique was used to obtain publicly available box scores during the 2018-19 competitive season. The total number of games examined in the present investigation was 4630. The findings of the present study indicate that winning teams: a) made more field-goal and three-point shots; b) attempted and made more free-throw shots; c) attained superior free-throw, two-point, and three-point shooting efficiency; d) accumulated more assists, steals, blocks, and offensive, defensive, and total rebounds; e) had fewer turnovers and personal fouls. Moreover, field-goal percentage, defensive rebounds, and assists showed to be the top three game-related statistics capable of discriminating winning from losing game outcomes on the NCAA Division-II level of competition, accounting for 17.0%, 12.7%, and 12.6% of the total percentage of the explained variance, respectively.

Impact of Distance and Proficiency on Shooting Kinematics in Professional Male Basketball Players.

Shooting efficiency is one of the key performance parameters related to securing the desired game outcome at various levels of basketball competition, and it is largely influenced by the biomechanical adjustments incorporated during the preparatory and release phase of the shooting motion. Thus, the purpose of the present study was twofold: (a) to examine the differences in the kinematic characteristics between free-throw, two-point, and three-point shots, and (b) to examine the differences between shooters with excellent (≥80%) and good (<80%) levels of shooting proficiency. A total of 10 professional male basketball players performed 5 free-throw (4.57 m), two-point (5.18 m), and three-point (6.75 m) shots, combining for a total of 150 shots. A high-definition camera recording at 120 fps was used to capture the shooting motion from a sagittal point of view, and video analysis software was used to analyze the kinematic variables of interest. The findings of the present study reveal that the kinematic characteristics during the preparatory phase of the shooting motion remain unchanged between free-throw and two-point shots. Three-point shots required lower elbow positioning, influenced by greater knee and hip flexion when compared to free-throw and two-point shots. The release angle was notably lower for shots attempted beyond the three-point line but remained unchanged between the free-throw and two-point shooting motions. Release height and vertical displacement were significantly greater for two- and three-point shots when compared to free-throw shots, while no difference was observed between the two- and three-point shots. In addition, no significant differences in shooting kinematics were observed between those participants with excellent and good levels of shooting proficiency.

Relationship between Upper and Lower Body Strength and Basketball Shooting Performance.

Strength is one of the key physiological performance attributes related to optimal on-court basketball performance. However, there is a lack of scientific literature studying how strength relates to shooting proficiency, as a key basketball skill capable of discriminating winning from losing game outcomes. Thus, the purpose of the present study was to examine the relationship between maximal upper and lower body strength and free-throw, two-point, and three-point shooting accuracy. Ten males and seven females performed bench press and back squat one repetition maximum (1RM) and basketball shooting testing during two laboratory visits. The shooting protocol consisted of five sets of 15 free-throw, two-point, and three-point shots performed in sequential order. Each set was separated by a 30 min rest interval to minimize the influence of fatigue. Each subject attempted 225 shots, combining for a total of 3825 shots. The average free-throw, two-point, and three-point shooting accuracy for men were 74.5 ± 11.9, 68.4 ± 9.9, and 53.3 ± 14.9%, and for women 79.2 ± 11.2, 65.5 ± 8.4, and 51.2 ± 15.3%, respectively. The average bench press and back squat 1RM for men was 88.2 ± 18.6 and 117.0 ± 21.2 kg, and for women, 40.6 ± 7.5 and 66.9 ± 9.9 kg, respectively. The findings of the present study revealed no significant relationships between maximal upper and lower body strength and basketball shooting performance for both male and female participants. Neither bench press nor back squat 1RM was a good predictor of free-throw, two-point, and three-point shooting performance.

Policy and Policy Response on the Court: A Theoretical and Empirical Examination of the Three-Point Line Extension in Basketball

This paper considers recent and historical changes in the three-point line distance at the NCAA and NBA levels as an example of policy change with highly-measurable outcome(s). The paper presents several empirical tests describing a point-maximizing basketball team's optimal allocation of two-point and three-point shots. It does so primarily in the context that the NCAA Men's Basketball three-point line was extended from 20′9″ to 21′9″ in advance of the 2019–20 season, and similar analysis for the NBA in the 1990s. We find that a three-point line extension significantly lowers three- and two-point shot proficiency, while decreasing (increasing) three-point (two-point) shot volume.

Modeling the influence of basketball game parameters on the final result in Tokyo 2020

This study aims to ascertain the significance of the basketball game parameters which discriminated between winning and losing teams in matches played. The study sample comprises matches played at the men’s basketball tournament at the XXXII Olympic Games in Tokyo. Four regression models were formed. Due to the size of the sample, the number of explaining variables was reduced using factor analysis, followed by stepwise regression to ascertain the statistical significance of the obtained models summarily, which were then broken down into individual parameters. This study indicates: (1) one of the four set regression models was summarily highly statistically significant; (2) out of the remaining models, two were eliminated due to the presence of multicollinearity, and one model did not exhibit high statistical significance; (3) the final score was most influenced by the variables of two- and three-point shot percentages, number of three-point shots, turnovers, defensive rebounds, and true shooting percentage. The results of the study corroborated the results of other studies which were carried out in recent years, that the game of basketball is trending towards three-point shots and lay-ups, reduction of turnovers when passing, and defensive rebounds have been confirmed to be greatly significant.

Basketball shooting performance is maximized by individual-specific optimal release strategies

ABSTRACT This study investigated the relationship between optimal basketball release angles and individual release distributions and whether individuals seek their optimal or minimum velocity release strategy. Sixteen male basketball players (height 183 ± 9 cm, age 22.6 ± 7 years) were recorded shooting 75 three-point shots. Ball release angle and velocity estimates were used in a nonparametric kernel density estimator (KDE) to identify individual-specific release distributions and optimal release angles. Optimal releases varied among individuals and were 4.3 ± 2.1° higher than minimum velocity releases. Mean release angles were 3.9° higher than the minimum velocity angle (p < 0.001) and only 0.4° below the optimal (p = 0.5). Participants skewed their probability density function (PDF) peaks 0.24° towards the optimal (p = 0.044) further indicating participants seek optimal rather than minimum velocity releases. Individual-specific optimal release angles were strongly correlated with their PDF covariance (r = 0.78, p < 0.001) and weakly correlated to the principal axis aspect ratio (r = −0.40, p = 0.137). These findings illustrate that optimal releases varied among participants and performance may be maximised by each athlete matching their release strategy to their PDF characteristics rather than matching a predetermined optimal release angle.

High-Pressure Game Conditions Affect Quiet Eye Depending on the Player's Expertise: Evidence from the Basketball Three-Point Shot.

Research on attention in sport using eye-tracking methodology has highlighted that the highest levels of expertise and performance are characterized by a specific gaze behavior consisting of a perception–action variable named quiet eye. The present study aimed to understand the role of quiet eye during the three-point shot, especially in game conditions in which even a single point may determine victory or defeat. Twenty-one basketball players (twelve competitive elites and nine semi-elites) with a high-shooting style performed three-point shots in four game scenarios different from each other for the time available (time pressure) and the relevance of the score (performance pressure). The results showed that competitive elites performed a longer quiet eye online duration and a shorter QE preprogramming duration than semi-elites, especially in the highest-pressure condition. On the one hand, these results suggest that quiet eye during three-point shots could fulfill an online control function. On the other hand, the findings stressed the importance of implementing experimental conditions that can resemble as closely as possible actual sport situations. Finally, we suggest that sport professionals interested in administering to athletes a quiet eye training protocol in order to improve three-point shot performance consider the shooting style of the players.

Can Stephen Curry really know?-Conscious access to outcome prediction of motor actions.

The NBA player Stephen Curry has a habit of turning away from the basket right after taking three-point shots even before the ball reaches the basket, suggesting that he can reliably predict whether the just released shot will hit or not. In order to use this “knowledge” to deliberately decide which action to take next, Stephen Curry needs conscious access to the results of internal processes of outcome prediction and valuation. In general, computational simulations and empirical data suggest that the quality of such internal predictions is related to motor skill level. Whether the results of internal predictions can reliably be consciously accessed, however, is less clear. In the current study, 30 participants each practiced a virtual goal-oriented throwing task for 1000 trials. Every second trial, they were required to verbally predict the success of the current throw. Results showed that on average, verbal prediction accuracy was above an individually computed chance level, taking into account individual success rates and response strategies. Furthermore, prediction accuracy was related to task skill level. Participants with better performances predicted the success of their throws more accurately than participants with poorer performances. For the poorer performing individuals, movement execution was negatively affected when the verbalized predictions were required. They also showed no noticeable modulation of speech characteristics (response latency) for correct and incorrect predictions as observed in the high performers.

Mental Fatigue and Basketball Performance: A Systematic Review

Mental fatigue (MF) is a psycho-biological state that impairs sports-related performances. Recently, it has been proved that MF can affect basketball performance. However, a systematic overview detailing the influences of MF on basketball performance is still lacking. This study aims to investigate the effects of MF on the physical, technical, tactical, and cognitive performance of basketball. We used the databases of PubMed, Web of Science, SPORTDiscus, Scopes, and CKNI for articles published up to 31 May 2021. The articles included in this study were projected to test whether MF influences basketball athlete performance. Only experimental design studies were selected, and the control condition was without MF. Finally, seven articles fit the inclusion criteria. The results imply that MF impairs the technical aspects of basketball (free throws, three-point shots, and total turnover) and the players' cognitive [take-the-first (TTF) heuristics and decision-making] performance, which results in athletes not using their techniques skillfully and being unable to make practical decisions during critical points in the game. In addition to that, the influences of MF on physical and tactical performance have not been studied. Further studies should look into comprehensive research on the influences of MF on basketball performance, especially on a player's physical and tactical performance.Systematic Review Registration: [https://inplasy.com/] [INPLASY2021100017].

Player Chronotype Does Not Affect In-Game Performance during the Evening (>18:00 h) in Professional Male Basketball Players.

Sport-specific skills display diurnal variation across various team sports such as badminton and tennis serving accuracy and soccer dribbling, volleying, and chipping execution. However, the effects of athlete chronotype on in-game sport-specific skill performance according to time of day across team sports is not well understood. Therefore, the aim of this study was to identify the effect of player chronotype on in-game basketball performance during evening games. Professional male basketball players (n = 11) completed a morningness–eveningness questionnaire and were categorized according to chronotype (morning-type: n = 4; neither-type: n = 6; evening-type: n = 1). Box score data from the 2019/20 season were utilized to determine individual in-game performance during evening games played after 18:00 h. Composite metrics (i.e., effective field goal percentage, offensive rating, defensive rating, and player efficiency) were used as indicators of player performance. Non-significant (p ≥ 0.21) differences were evident between M-types and N-types for most performance measures. Small to very large effects were observed in the number of rebounds favoring M-types, and three-point shots attempted and made, assists, and steals favored N-types. In-game performance appeared to not be affected by chronotype (i.e., M-type vs. N-type) in evening games among professional male basketball players. The lack of observed effect between chronotype and in-game performance suggest coaching staff may not need to consider player chronotype when developing a match strategy or assigning player roles if largely dealing with M-types and N-types. However, to ensure the greatest specificity, coaching staff may endeavor to schedule habitual training times in line with that of competition in an effort to align player circadian rhythms to games.

“Don't think, just shoot” – The paradox of shooting three-point shots in basketball

ABSTRACT A two-phase study was conducted on shooting three-point shots in basketball in pressure/no-pressure game situations. In Phase 1 – a subjective approach, our aim was to discover what the players and coaches thought about shooting beyond the three-point arc when the shooters were performing under defensive pressure or when they were free of such pressure. In Phase 2 – an analysis of shooting success, we examined the actual success (i.e., percentage of successful shots) of shooting three-point shots under these two situations. In Phase 1, 97 Division 1 male basketball players and 12 elite coaches were asked how they perceived shooting three-point shots in various game situations. In Phase 2, the success of 382 three-point shots taken in actual Division 1 games was analyzed. The shots were classified by four expert coaches into two categories – shots taken in free-of-defense and shots taken in under-pressure game situations. The success of the two classified shots was analyzed under 10 conditions. Expected results were found in Phase 1 – both players and coaches believed that the success of three-point shots is higher when the shots are taken when the shooter is free of defense. In Phase 2, a surprising finding was revealed: shooting success was higher when the players shot under defensive pressure. We discuss the data in line with Kahneman’s (2011), Thinking, fast and slow, model, and propose a number of practical implications for coaches who are preparing their three-point shooters to deal with real game situations.

Shot Distribution and Accuracy in Senior and Youth International Basketball Games: Changes over the Decade of the 2010s.

This study aimed to investigate the changes in shot distribution and accuracy in senior and under-17 international basketball tournaments in the 2010s. A retrospective cross-sectional design was employed, and a total of 1055 games from 20 world-level tournaments held between 2010 and 2019 were analyzed. The tournaments held in 2010 were played under the old three-point line (6.25 m), and the rest of the tournaments were played under the new three-point line (6.75 m). The numbers of two- and three-point shot attempts in each game were normalized to 100 possessions. Differences in mean values of two- and three-point shot attempts were analyzed by a two-way (category × year) between-subjects analysis of variance (ANOVA). Differences in the success rates of two- and three-point shots were analyzed by Fisher’s exact test. There was no significant category × year interaction for two-point shot attempts. However, there were significant main effects of category and year for two-point shot attempts. The number of two-point shot attempts increased significantly in 2012 and, in 2016, returned to a level not significantly different from that in 2010, independent of categories. There was a significant category × year interaction for three-point shot attempts. The number of three-point shot attempts decreased significantly in 2012 and, by 2016, returned to a level not significantly different from that in 2010 in senior men and under-17 women. There was no significant change in the number of three-point shot attempts in under-17 men. The effect of the extension of the three-point line on shot accuracy was limited. Differences in shot accuracy were prominent between age categories: the accuracy was lower in under-17 games than in senior games for both sexes. Although under-17 men attempted fewer three-point shots than senior men, under-17 women attempted a similar number of or more three-point shots than senior women. These findings can contribute to a better understanding of age and sex differences in recent trends in international basketball.

Gaze Behavior and Positioning of Referee Teams during Three-Point Shots in Basketball

This study looks at the visual scan patterns of high-class basketball referees. Using mobile eye-tracking devices, referees’ gaze behavior was analyzed during the execution of three-point shots in the official pre-season games of Germany’s men’s professional basketball league. We evaluated the extent to which the referees fulfill the tasks assigned to them, where do they look, and to what extent does their gaze behavior overlap during a three-point shot. Results indicate that referees who are far away from the ball and are, therefore, not responsible for observing the actual shot, tend to comply with their areas of responsibility less often than referees standing nearer to the ball, i.e., they appear to observe the ball more than required (ball watching) at the expense of other areas that they are required to be observing at the beginning of the shooting process. However, referees spend a very small part of a three-point shot looking at the same areas of interest. This indicates that referee teams’ allocation of gaze is rather effective, remaining in line with FIBA recommendations and is presumably not the main cause for errors in officiating.

The Relationship of Intra-Individual Release Variability with Distance and Shooting Performance in Basketball

The aim of this study was to investigate the role of release parameter changes within individuals (intra-individual) on basketball shooting performance across both free throws and three-point shots, and identify whether any velocity dependence exists. Twelve male basketball players were recorded shooting seventy-five three-point shots (6.75 m) and fifty free throws (4.19 m). Ball release parameters were estimated by combining an analytic trajectory model including drag, a least squares estimator, and gradient-based release distance compensation. Intra-individual release velocity standard deviations (SD) were found to be significantly smaller across all distances ([0.05-0.13 m/s] when compared to statistics reported by other studies [0.2-0.8 m/s]). Despite an increase in lower body motion and a 24% increase in release velocity (p < 0.001) as shooting distance increased, no increases in intra-individual release velocity or angle SD were observed indicating velocity-dependent changes in release parameters were absent. Shooting performance was found to be strongly correlated to the release velocity SD (r = -0.96, p < 0.001, for three-point shots, and r = -0.88, p < 0.001, for free throws). Release angle SD (1.2 ± 0.24 deg, for three-point shots, and 1.3 ± 0.26 deg, for free throws) showed no increase with distance and unrelated to performance. These findings suggest that velocity-dependent factors have minimal contribution to shooting strategies and an individual's ability to control release velocity at any distance is a primary factor in determining their shooting performance.