Journal of Sports Sciences ISSN: 0264-0414 (Print) 1466-447X (Online) Journal homepage: http://www.tandfonline.com/loi/rjsp20 Examining multidimensional sport-confidence in athletes and non-athlete sport performers Moe Machida, Mark Otten, T. Michelle Magyar, Robin S. Vealey & Rose Marie Ward To cite this article: Moe Machida, Mark Otten, T. Michelle Magyar, Robin S. Vealey & Rose Marie Ward (2016): Examining multidimensional sport-confidence in athletes and non-athlete sport performers, Journal of Sports Sciences, DOI: 10.1080/02640414.2016.1167934 To link to this article: http://dx.doi.org/10.1080/02640414.2016.1167934 Published online: 18 Apr 2016. Submit your article to this journal View related articles View Crossmark data Full Terms & Conditions of access and use can be found at http://www.tandfonline.com/action/journalInformation?journalCode=rjsp20 Download by: [Florida Atlantic University] Date: 18 April 2016, At: 07:58 JOURNAL OF SPORTS SCIENCES, 2016 http://dx.doi.org/10.1080/02640414.2016.1167934 Examining multidimensional sport-confidence in athletes and non-athlete sport performers Moe Machidaa, Mark Ottenb, T. Michelle Magyarc, Robin S. Vealeyd and Rose Marie Wardd School of Physical Education, Osaka University of Health and Sport Sciences, Osaka, Japan; bDepartment of Psychology, California State University, Northridge, CA, USA; cThe Office of the Governor, California State Board of Education, Sacramento, CA, USA; dDepartment of Kinesiology and Health, Miami University, Oxford, OH, USA Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 a ABSTRACT ARTICLE HISTORY Sport-confidence is considered a critical success factor for sport performers at all levels. Researchers have suggested that sport-confidence is a multidimensional rather than a unidimensional construct, and the sport-confidence model identified three types of sport-confidence (i.e., physical skills and training, cognitive efficiency, and resilience) that are important for success in sport. However, such multidimensionality of sport-confidence and its measurement have not been fully examined. On a large sample of sport performers with varied skill levels and characteristics, the purpose of the present study was to examine the three-factor model of sport-confidence. We tested the measurement invariance of the Sport-Confidence Inventory across 512 athletes and 1170 non-athlete sport performers. Results from the multiple group model analysis showed that the three-factor model of sport-confidence fit better for the athlete sample than for the non-athlete sample. The results implicate that the three-factor model of sport-confidence model is suitable to athletes, though sport-confidence may appear more unidimensional for non-athletes. The use of the Sport-Confidence Inventory for non-athlete sport performers demands further consideration; however, the findings implicate that it could be a useful tool to assess sport-confidence of sport performers at any levels. Accepted 14 March 2016 Confidence is one of the most influential and extensively studied psychological constructs in sports. Confidence has been related to many positive attributes and outcomes, including lower cognitive and somatic anxiety (e.g., Cresswell & Hodge, 2004; Vealey, Hayashi, Garner-Holman, & Giacobbi, 1998), adaptive goal orientation (e.g., Hall & Kerr, 1997; Vosloo, Ostrow, & Watson, 2009), the success of Olympic champions (Gould, Dieffenbach, & Moffett, 2002), a mediator in flow state (Koehn, Pearce, & Morris, 2013), and ultimately better performance (e.g., Moritz, Feltz, Fahrbach, & Mack, 2000). Many sport psychology practitioners consider increasing confidence as one of the main goals of interventions with athletes (e.g., Beaumont, Maynard, & Butt, 2015; Hanton & Jones, 1999; Mamassis & Doganis, 2004). Perhaps the most studied conceptual approach to confidence in sport is the sport-confidence model (Vealey, 1986; Vealey & Chase, 2008, see Figure 1). Sport-confidence can be defined as the belief or degree of certainty that individuals possess about their ability to be successful in sport (Vealey, 2001). The most recent sport-confidence model posits that sport-confidence is a multidimensional construct and there are multiple types of sport-confidence specific to the task KEYWORDS Self-efficacy; learning; psychological assessment; sport psychology demands (Vealey & Chase, 2008; Vealey & Knight, 2002). Vealey and Knight identified three areas of abilities that are most critical for success in sport and developed the SportConfidence Inventory (SCI) to measure sport-confidence for each area of ability. In their study, they also established its preliminary validity and reliability with high school and college varsity athletes. However, studies of multidimensionality in sport-confidence are still limited (Hays, Maynard, Thomas, & Bawden, 2007; Vealey & Chase, 2008). In addition, studies of the sport-confidence model have traditionally focused on athletes who participate in competitive sport. However, the sport-confidence model could also be a useful framework for understanding the learning processes of sport skills in non-athlete sport participants. Nonetheless, studying sport-confidence among non-athletes has been a challenge because there is no measurement tool of multidimensional sport-confidence established for non-athlete population. Thus, the purposes of the present study were to examine the applicability of the sport-confidence model both to athletes and nonathletes, and to compare the model across these two groups to test the measurement invariance of the SCI (Vealey & Knight, 2002; see Figure 2 for the hypothesised model). CONTACT Moe Machida machidam@ouhs.ac.jp School of Physical Education, Osaka University of Health and Sport Sciences, 1-1 Asashirodai, Kumatoricho, Sennan-gun, Osaka 590-0496, Japan Part of the data is from the first author’s master’s thesis which was supported by Master’s Thesis Support Grant from Miami University. The first author published a paper from her master’s thesis (Machida, M., Ward, R.M., & Vealey, R.S. (2012). Predictors of sources of self-confidence in collegiate athletes. International Journal of Sport and Exercise Psychology, 10, 172–185). However, this paper examined completely different variables and research questions. Thus, there is no overlap of variables examined in these two papers. About 15% of data from Sample 4 (n = 201) has been published in a past paper (Otten, M. (2009). Choking vs. clutch performance: A study of sport performance under pressure. Journal of Sport and Exercise Psychology, 31, 583–601) but it examined completely different research questions from the current paper. © 2016 Informa UK Limited, trading as Taylor & Francis 2 M. MACHIDA ET AL. Demographic and personality characteristics (i.e. personal factors) Organizational culture (i.e. social factors) Sources of Sport-Confidence Demonstration of ability Mastery Physical/Mental preparation Physical selfpresentation Social Support Vicarious Experience Coach's leadership Environmental Comfort Situational favorableness Types of Sport-Confidence Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 Cognitive efficiency Physical skills and training Resilience Affect Behavior Cognition Uncontrollable external factors Performance Physical skills and characteristics Figure 1. Sport-confidence model (Vealey, 1986; Vealey & Chase, 2008). Adapted, with permission, from R.S. Vealey and M.A. Chase, 2008, Self-confidence in sport. In Advances in sport psychology, 3rd ed., edited by T.S. Horn (Champaign, IL: Human Kinetics), 71. Multidimensionality indicated in the sport-confidence model The conceptual foundation of sport-confidence was developed from self-efficacy theory (Bandura, 1997) in response to the need for a conceptualisation of confidence specific to competitive sport (Vealey, 1986). After a few revisions, the most recent sport-confidence model (Vealey, 1986; Vealey & Chase, 2008, see Figure 1) was developed to supplement the theoretical limitations of the original model. This revised model is more consistent with Bandura’s self-efficacy theory and was developed in a social cognitive theoretical framework (Vealey & Chase, 2008). First, instead of taking a traitand state- dichotomous approach (Vealey, 1986), it contends that levels of sport-confidence can fluctuate depending on the situation. It is consistent with Bandura’s selfefficacy theory in that perceived efficacy is a dynamic fluctuating property and not a dispositional trait. Second, though the original model considered sport-confidence as a unidimensional construct, the revised model views sportconfidence as a multidimensional property, and therefore includes multiple types of sport-confidence. As Bandura indicated in self-efficacy theory, self-efficacy is a multidimensional construct that is specific to the task. While limitations of a unidimensional approach to measuring psychological constructs have been discussed in other constructs (e.g., self-concept, Marsh & Craven, 2006), Bandura also argues that self-efficacy is “not a contextless global disposition” (p. 42). To achieve its predictive ability of an outcome, self-efficacy and its measurement should be domain specific. Similarly, taking a unidimensional approach to measuring sport-confidence could limit our understanding of its effect on specific sport outcomes. Thus, the revised sport-confidence model argues that sport-confidence should be understood and measured multidimensionally for both theoretical and practical purposes. The model includes the antecedents (i.e., athlete and organisational characteristics) and sources of athletes’ sport-confidence, and specifies the influences of three types of sport-confidence on athletes’ affect, behaviour, and cognition (see Figure 1, Vealey, 1986; Vealey & Chase, 2008). The first type of sport-confidence is sport-confidence about physical skills and training (SC-Physical Skills and Training), which refers to athletes’ confidence about their training and their capability to perform the physical skills necessary for success in sport (Vealey & Chase, 2008). The second type of sport-confidence is sport-confidence about cognitive efficiency (SC-Cognitive Efficiency), which is defined as athletes’ confidence about their ability to maintain optimal focus and concentration and to make critical decisions necessary for successful performance (Vealey & Chase, 2008). Finally, sport-confidence about resilience (SCResilience) is conceptualised as athletes’ confidence about their ability to refocus and bounce back from performance errors and mistakes, and overcome adversities and setbacks to be successful in sport (Vealey & Chase, 2008). Among college and high school varsity athletes, Vealey and Knight found that these three types of sport-confidence were differently related to athletes’ cognition, affect, and performance, supporting the multidimensionality of sportconfidence. Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 JOURNAL OF SPORTS SCIENCES 3 Figure 2. Hypothesised confirmatory factor analysis. Ovals indicate proposed latent variables (factors). Rectangles indicate proposed measured variables. Straight arrows represent predicted regressions. Straight arrows leading to dependent variables represent predicted residual variances (errors). Double arrows represent predicted correlations. Measurements of sport-confidence Perhaps the most popular confidence measure in sport has been the Trait and State Sport-Confidence Inventory (TSCI, SSCI: Vealey, 1986). A number of studies were conducted using these scales and found their links to various psychosocial factors, such as anxiety, coping skills, flow states, achievement goal orientation, and performance (e.g., Cresswell & Hodge, 2004; Koehn et al., 2013; Magyar & Duda, 2000; Moritz et al., 2000). However, these two scales treat sport-confidence as a unidimensional construct, and adopt a dichotomous approach claiming that there are dispositional sport-confidence and state sport-confidence. Thus, these scales do not capture the multidimensionality and fluctuating properties of sport-confidence as proposed in the revised sport-confidence model (Vealey, 1986; Vealey & Chase, 2008). Responding to the need for a scale that enables an assessment of the multidimensionality in sportconfidence, Vealey and Knight (2002) conducted a fourphase study and developed the SCI to measure the three types of sport-confidence identified as important by athletes (i.e., SC-Physical Skills and Training, SC-Cognitive Efficiency, and SC-Resilience). In this original study with high school and college varsity athletes, they found preliminary reliability and validity of the SCI. There is limited research on the multidimensionality of sport-confidence. Hays et al. (2007) attempted to capture the multidimensionality of world-class athletes’ confidence in their qualitative study and identified six types of sportconfidence necessary for their success in sport (i.e., skill execution, achievement, physical factors, psychological factors, superiority to opposition, and tactical awareness). This study identifies more than three types of sport-confidence that are important to athletes; however, these study findings were specific to world-class athletes. Also the study did not use a quantitative measurement to assess these different types of confidence; thus, their interviewbased approach was not suited to contrasting confidence in multiple dimensions. Otten (2009) utilised the SCI in a study of clutch performance of basketball free throw shooting, with 201 undergraduate students of varied basketball experience, and found that sport-confidence was related to performance through its effect on perceived control under a pressured situation. Though this study provided some predictive validity of the SCI, he tallied the SCI scores to indicate a participant’s overall sport-confidence and treated sport-confidence as a unidimensional construct. Sport-confidence among non-athlete sport performers Besides Otten’s (2009) study, studies of sport-confidence and measures such as the TSCI, SSCI, and SCI have most often been based on athletes who participate in competitive sport, while only a select few studies tested the use of the TSCI and SSCI in non-athlete sport performers. Such studies on non-athlete sport performers include Mills and Mitchell (1996) which investigated the validity of the TSCI and SSCI with middle school aged physical education students. Also Boyd and Yin (1999) studied the TSCI in its relationships with self-schemata in sport among undergraduate students. However, there is no study to date which examined the multidimensionality of sport-confidence and utilised the SCI in their studies with non-athlete sport performers. The use of the sport-confidence model (Vealey, 1986; Vealey & Chase, 2008) and the SCI should not be limited to assessing sport-confidence of athletes who participate in competitive sport and should be utilised for studies on non-athlete sport performers. As Bandura (1997) indicates, self-efficacy is a critical 4 M. MACHIDA ET AL. psychological factor in maintaining adaptive cognitive functioning during a learning process and improving skills. Thus, for the present study, with large samples of athletes and non-athlete sport performers, we aimed to test the applicability of the multidimensional perspectives of sport-confidence, compare the model between these two groups to examine the measurement invariance of the SCI (Vealey & Knight, 2002; see Figure 2 for the hypothesised model), and establish its construct validity and reliability. Method Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 Participants and data collection procedure Data was collected from four samples at four different time frames.1 Each data collection was preceded by obtaining permission from institutional review boards at authors’ institutions. All data collections were preceded by obtaining consents (and assents if participants were under 18) from participants. Sample characteristics were summarised in Table 1. Sample 1 represents 17 teams from two competitive volleyball clubs competing in the western region of the United States. The majority of this sample described themselves as White (n = 93); others described themselves as Black (n = 7), Mexican (n = 6), Asian (n = 5), Native American (n = 2), and Bi-racial (n = 15); 33 participants did not report their ethnic origin. Participants in Sample 2 were from universities in the United States. There were 42 club2 and 163 varsity athletes. The majority of participants were from NCAA Division I (n = 111), and three were from NCAA Division III programmes. The participants represented 13 sports: ice skating (n = 50), track and field (n = 45), softball (n = 13), golf (n = 12), soccer (n = 11), swimming (n = 11), basketball (n = 10), field hockey (n = 10), diving (n = 4), American football (n = 2), and volleyball (n = 2). Participants were predominantly White (n = 177), while there were seven Asian, seven Black, and seven Hispanic athletes, with one participant indicating other. Participants in the third sample were from a junior college (i.e., two-year university) in the United States. The participants were derived from five sports teams: American football (n = 53), soccer (n = 33), volleyball (n = 19), softball (n = 15), and basketball (n = 7); three participants chose not to disclose their team affiliation. Participants reflected an ethnically diverse sample: 50 were White, 32 were Black, 21 were of mixed ethnicity, 16 were Hispanic, and 11 either indicated “other” ethnicity or did not disclose the information. Participants in the fourth sample were undergraduate students from two universities in the United States. Students participated in the study as part of each university’s psychology department subject pool, and thus were able to sign up online and receive course credit in exchange for their efforts. Participants first filled out the questionnaire and then proceeded with a round of 15 basketball free throws. Thus, the items in the assessment referred to participants’ sport-confidence specifically with regard to their free throw shooting ability. These participants also reflected an ethnically diverse sample: 413 were Hispanic, 269 were White, 253 were of Asian descent, 113 were Black, and 192 were either of mixed or “other” ethnicity, or did not record this information. Final sample for analyses Pooling all four samples together, we categorised participants into athlete and non-athlete categories; criteria were as follows. We defined “athlete” sport performers as those who currently participate and have deliberate training in competitive sport or who demonstrate competence in a sport skill tested (i.e., basketball free throw). Thus, those in Samples 1, 2, and 3 were designated as athletes; within Sample 4, 70 participants were categorised as athletes, because they made at least 10 out of their 15 free throw attempts (with no prior warm-up; 66% of success rate), which is considered a reasonable standard for basketball players in high school and college levels (Plubinskas, 2012). Average years of experience in competitive basketball for the athlete sample in Sample 4 were compatible with Samples 1, 2, and 3 which further confirmed our inclusion of these participants in the athlete sample. The remaining 1170 participants from Sample 4 were categorised as non-athletes. We operationalised “non-athletes” as Table 1. Sample characteristics. N Sample 1 2 Total Female Male 163 163 0 206 139 67 3 4 Athletes Nonathletes 130 1240 70 1170 52 611 23 588 75 621 45 576 Age: M (SD) Sport 14.71 (1.56) Volleyball (High School Varsity) 19.62 (1.25) Various Sport (College Club and Varsity) 18.98 (1.49) Various Sport (Junior College Varsity) 19.84 (3.21) Basketball (Free Throw) 20.10 (2.88) Basketball (Free Throw) 19.83 (2.81) Basketball (Free Throw) Years of exeperience in sport: M (SD) 3.0 (1.68) 10.38 (1.25) 9.64 5.91 8.46 5.71 (3.97) (4.18) (4.64) (4.44) Likert scale 0 to 10 1 to 7 0 to 10 0 to 100 0 to 100 0 to 100 Survey type Paper Online (n = 156) paper (n = 50) Paper Paper Paper Paper Note: Samples 1–3 were categorised into the “athlete” sample. 1 Present data was collected from different projects. To serve our purposes of the study, we decided to combine their SCI data which made a large enough sample to allow for more sophisticated analysis – the analysis we could never complete in each of our original projects. Sample 1 and Sample 3’s data have not been published elsewhere. Sample 2’s data is from the first author’s master’s thesis and the first author published a paper from the project (see acknowledgment for publication details). However, this paper examined completely different variables and research questions so there is no overlap of variables between this paper and the present paper. Also, approximately 15% of data from Sample 4 has been published in a past paper by the second author (see acknowledgement for publication details) which examined completely different research questions. 2 Club athletes in this study were athletes who played their respective sports in university-approved clubs. They were not recreational or intramural sport participants. JOURNAL OF SPORTS SCIENCES Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 performers who did not show enough competence in a sport skill tested (i.e., basketball free throw). Free throw skill is considered a fundamental and the only skill in basketball that is performed in a closed manner. Though these participants indicated having an average of more than 5 years of experience in basketball, performance below the standard on this fundamental skill can be an indication of their lack of deliberate training in basketball; thus, they could not be considered as “athletes”. Also, mean years of experience in basketball for the non-athlete sample in Sample 4 were significantly lesser than the athlete sample in Sample 4. Therefore, the final non-athlete sample consisted of these 1170; adding the 70 Sample 4 participants to those from the other three samples led us to a total of 512 participants within the athlete sample. Measures Participants in all four samples filled out a demographic questionnaire that assessed sex, age, years of experience in sport, and ethnicity. To assess levels of sport-confidence, the SportConfidence Inventory (SCI; Vealey & Knight, 2002) was employed. The SCI measures three types of sport-confidence (SC): SC-Physical Skills and Training (5 items: e.g., “Your physical fitness level will allow you to complete successfully”), SCCognitive Efficiency (5 items: e.g., “You can successfully make critical decisions during competition”), and SC-Resilience (5 items: e.g., “You can regain your mental focus after a performance error”). In the present study, the SCI was employed to the four samples as follows (also see Table 1). For Samples 1 and 3, athletes responded to the following stem “How confident are you that. . .” and then rated each item on an 11-point Likert scale ranging from 0 (not at all confident) to 10 (very confident). For Sample 2, participants were asked to rate how they typically feel about their ability on a 7-point Likert scale, with 7 being “totally certain” and 1 being “can’t do it at all.” For Sample 4, items in the SCI were slightly modified to assess participants’ sport-confidence about basketball free throw shooting (e.g., “you can successfully manage your emotions during competition” was modified to “you can successfully manage your emotions while shooting free throws”). Participants were asked to rate how they feel about their abilities in basketball free throw shooting on a 11-point Likert scale ranging from 0 (not at all confident) to 100 (completely confident). To convert values from each of the four samples to the same scale, responses from Sample 1 and Sample 3 were each multiplied by 10 to match the scale of the Sample 4. For Sample 2, a “7” was switched to “100,” “6” to “83.33,” “5” to “66.67,” and so on at equal intervals until “1” became “0.” To verify the latter conversion, variances across items were compared between Samples 2 and 3, which had compatible participants’ characteristics. Of the 15 items, the variances of 8 items were greater in Sample 2, while the variances of the other 7 items were larger within Sample 3. This suggested that analyses combining these samples and Likert scales may be reasonable going forward. 5 Data analyses Reliability of the SCI subscales, means, and standard deviations were calculated using SPSS version 22. EQS version 6.2 (Bentler, 2014) was employed to perform the current confirmatory factor analyses through structural equation modeling (SEM). We first tested the hypothesised three-factor model proposed by Vealey and Knight (2002, see Figure 2) with the whole sample, allowing three factors to correlate. Then, we conducted a multiple group model analysis to compare and test for the measurement invariance between the athlete and non-athlete samples. This analysis follows an incremental process (Muthén & Muthén, 2009): (a) fitting the model separately in each group (i.e., athletes and non-athletes) to assess the fit of each; (b) fitting the model in both groups simultaneously with all parameters to be freed; (c) fitting the model in both groups with constraining factor loadings equal, to test the equivalence of these across groups. If equivalent, further constraints are then considered (e.g., factor variances and covariances) to arrive at a final multiple group model to represent the data. For the SEM, goodness-of-fit is assessed between the data collected and the data that would be implied by the hypothesised model, by way of the maximum-likelihood chi-square (χ2) statistic (using α = .05), the Comparative Fit Index (CFI), the root mean squared error of approximation (RMSEA), and the standardised root mean-square residual (SRMR; Preacher & MacCallum, 2003). CFI values fall between 0 and 1, with values greater than .95 indicate best model fit; RMSEA values less than .06 and SRMR values below .08 suggest likewise. Results Missing data existed for 59 athletes and 45 non-athletes; after listwise deletion of these cases, n = 510 athletes and n = 1125 non-athletes remained. All remaining responses fell within the possible 0-to-100 range of the SCI, and no outliers were found (beyond a standardised score of ±3.29). Means and standard deviations of each item for these athlete and non-athlete samples are presented in Table 2. Scores of every item were significantly higher among the athlete sample than among the non-athlete sample (see Table 1). Effect sizes for these Table 2. Summary statistics for athletes and non-athletes. Mean (SD) on the Sport-Confidence Inventory (0-to-100 scale) Variable Item 1 Item 2 Item 3 Item 4 Item 5 Item 6 Item 7 Item 8 Item 9 Item 10 Item 11 Item 12 Item 13 Item 14 Item 15 81.49 82.00 80.61 81.92 80.46 78.88 84.37 81.81 78.69 85.70 84.14 79.68 82.15 83.78 79.57 Athletes (14.64) (14.64) (14.79) (16.37) (14.95) (15.97) (16.20) (13.89) (16.40) (13.91) (14.04) (15.84) (14.79) (14.46) (16.41) Note: df = 1585, p < .001 for all tests. Non-athletes 68.80 (21.37) 74.29 (19.12) 73.65 (19.72) 66.20 (24.56) 68.04 (21.10) 68.54 (20.86) 69.26 (23.70) 72.66 (20.26) 69.34 (21.13) 71.82 (22.04) 74.73 (20.20) 74.11 (20.06) 71.24 (20.24) 66.96 (23.62) 68.46 (20.88) t 11.84 7.88 6.93 12.82 11.67 9.68 12.71 9.01 8.62 12.72 9.27 5.39 10.69 14.44 10.34 6 M. MACHIDA ET AL. Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 differences ranged from relatively small (item 12; Cohen’s d = .32) to large (item 14; Cohen’s d = .74). Meanwhile, each item’s standard deviation was greater for the non-athlete sample than for the athlete sample. For athletes, Cronbach’s α reliabilities of each subscale were .89 (SC-Physical Skills and Training), .85 (SC-Cognitive Efficiency), and .89 (SC-Resilience). For non-athletes, these Cronbach’s α values were .89, .89, and .92 respectively. Fit of the three-factor SEM for the sample as a whole (n = 1635) was adequate: χ287 = 1632.88, p < .001; CFI = .92; RMSEA = .10; SRMR = .05. For the athlete sample, statistics indicated slightly better model fit (χ287 = 447.45, p < .001; CFI = .93; RMSEA = .09; SRMR = .06) than for the non-athlete sample (χ287 = 1381.46, p < .001; CFI = .91; RMSEA = .12; SRMR = .06). For each model, results of the Lagrange multiplier (LM) and Wald tests were explored, but did not yield any helpful post hoc modifications. Standardised factor loadings, covariances, and residual variances are displayed for the athlete and non-athlete samples in Figures 3 and 4, respectively. To further contrast the athlete and non-athlete samples, a multiple group SEM with a mean structure was run. A model with no parameters constrained to be equal across the two Figure 3. Final confirmatory factor analysis, athletes only. Ovals indicate latent variables (factors). Rectangles indicate measured variables. Straight arrows represent regressions. Straight arrows leading to dependent variables represent residual variance (error) estimates. Double arrows represent correlations. Parameter estimates are standardised regression coefficients; all values shown are significantly different than zero (p < .001). Figure 4. Final confirmatory factor analysis, non-athletes only. Ovals indicate latent variables (factors). Rectangles indicate measured variables. Straight arrows represent regressions. Straight arrows leading to dependent variables represent residual variance (error) estimates. Double arrows represent correlations. Parameter estimates are standardised regression coefficients; all values shown are significantly different than zero (p < .001). JOURNAL OF SPORTS SCIENCES Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 groups was tested first, to serve as a baseline or benchmark for comparison. The fit of this model was moderate: χ2198 = 2132.42, p < .001; CFI = .90; RMSEA = .12; SRMR = .07. Factor loadings were then constrained across groups, resulting in a significant decrement in the model fit (χ2 difference = 87.48; df = 12). In particular, the LM test indicated that the loadings for items 5, 6, 9, 12, 13, 14 and 15 were significantly different between athletes and non-athletes. This suggested disparities across groups in the make-up of each of the three model factors; thus, the process of constraining additional parameters between groups was halted here. Factor means for non-athletes were 67.33 (SC-Physical Skills and Training), 72.90 (SC-Cognitive Efficiency) and 71.93 (SC-Resilience). For athletes, factor means were 80.67, 81.58, and 79.78, respectively. Athletes were higher in all SCI latent means than non-athletes. Discussion The purposes of the present study were to test the applicability of the multidimensional perspectives of sport-confidence (Vealey & Chase, 2008; Vealey & Knight, 2002) to athletes and non-athlete sport performers, and to examine the measurement invariance of the SCI to establish its construct validity and reliability across groups. Combining four different samples allowed us to obtain large samples of athletes and non-athlete sport performers and conduct the multiple group model analysis to directly compare the model fit between these two groups. The original study by Vealey and Knight (2002) only included athlete samples. To extend their findings, our results showed that the model fits slightly better for athletes as compared with non-athletes. Also, loadings of several items were significantly different between athletes and non-athletes, though the loadings were still high in both samples. Our athlete sample varied in their characteristics (e.g., different age, ethnicity, sex, sport, skill level), which may allow our results to be generalised across diverse athlete populations. The results suggest that the three-factor model and the SCI are feasible for athletes. It seems that athletes were able to distinguish these different types of sport-confidence (i.e., SC-Physical Skills and Training, SC-Cognitive Efficiency, and SC-Resilience). This serves to replicate the results of the preliminary study by Vealey and Knight (2002), which examined the factorial structure and the use of the SCI in high school varsity and college varsity athletes. While the threefactor model may suit athletes, a one-factor model rather than a three-factor model may be more feasible for nonathlete sport performers. The results show that correlations among three sport-confidence factors were especially high among non-athletes, which indicates that non-athlete sport performers were less able to distinguish the three dimensions of sport-confidence described in the inventory, perhaps due to their lack of experience and understanding of the various abilities necessary to succeed in sport. Also, variances in responses to the items were greater among non-athletes as compared with athletes. The present study was the first to test the utility of the SCI to non-athletes. The results indicate that the current SCI may not be feasible 7 for assessing multidimensional sport-confidence towards executing new skills, and/or may be better treated as a unidimensional construct for those who do not participate and are not training in competitive sport. Limitations and future directions of the study Though we were able to test a model with a measurement that is grounded in a well-established theory to a large sample of sport performers with different characteristics and experiences, there are a few limitations to be addressed. We combined the samples from different projects1 to obtain a large enough sample to conduct a multiple group model analysis. For the present study, participants completed different versions of the stem and rating scale in assessing sport-confidence across different subsamples to fit to the sample characteristics and situations at the time of each data collection. Though secondary analysis of data has some limitations and warrants concerns, Fischman (2011) indicated that it could make a substantial contribution to the literature. In this study, we were able to statistically correct for differences in response ratings in the analyses to achieve our aim of the study. However, it is also important to note that scholars (Dawes, 2008; Wakita, Ueshima, & Noguchi, 2012) caution against contrasting responses collected using different Likert scales. Future studies should clarify the most appropriate rating scale to measure sport-confidence to ensure consistency in the results, for example, by using an Item Response Theory framework (see an example by Myers, Feltz, & Wolfe, 2008). Also, researchers may pursue creating a new scale for nonathlete sport performers by deleting some items. A shorter version of the scale may work better for non-athletes who are less able to distinguish the multiple dimensions of sportconfidence. In addition, while our athlete sample was varied in types of sport participation, our non-athlete sample was composed only of those sport performers who lack competence in basketball free throw. Thus, the results from the multiple group comparison in our study may be due to the differences between sport-confidence about completing broader sport skills and completing a specific sport skill (i.e., basketball free throw). This possibility cannot be ruled out. Though the present study showed a feasibility of modifying the items for the specific sport skill in assessing sport-specific confidence which has an important implication for future studies in this area (especially for studies using experimental designs), future researchers may retest the model for non-athletes in additional sports or using more diverse and interesting tasks. Also the original study by Vealey and Knight (2002) indicated that three types of sport-confidence are differently related to personal factors of athletes (e.g., anxiety, coping, motivation). To further test the model, examining the influences of athletes’ characteristic and organisational culture (e.g., age, sex, personality, cognitive orientation, coaches’ leadership) on three types of sport-confidence could offer important insights into the multidimensionality of sport-confidence. The SCI was developed based on multiple phases of studies that identified three areas of abilities required for success in Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 8 M. MACHIDA ET AL. sport (Vealey & Knight, 2002). However, findings from a study on world-class athletes by Hays et al. (2007) indicated that these athletes identified six types of sport-confidence. In our study, we used very limited categorisation of sport performers (athletes vs. non-athletes) to allow for an analysis that requires a large sample. It is possible that as expertise of sport performers develop, the more they distinguish and categorise their capacity into specific abilities necessary for their “success” at their competitive levels. Scholars should further investigate the types of sport-confidence required for various competitive levels of sport performers (e.g., novices, youth, high school, college, elite) and an applicability of the SCI to these subpopulations. Alternative forms of analysis (e.g., bi-factor analysis, Myers, Martin, Ntoumanis, Celimli, & Bartholomew, 2014) may also be useful for examining the multidimensionality (vs. unidimensionality) of sport-confidence in sport participants. Also, being consistent with Bandura’s (1997) self-efficacy theory, Vealey and Chase (2008) argue that sport-confidence fluctuates over time. The preliminary study by Vealey and Knight (2002) indicated fluctuations of the SCI scores across time among collegiate male swimmers. Meanwhile, this study is based on data collected only once per participant. Recently, the importance of stable confidence or “robust confidence” has been explored in studies (e.g., Beaumont et al., 2015; Thomas, Lane, & Kingston, 2011). Conducting a longitudinal study using the SCI to examine the fluctuating properties and “robustness” of sport-confidence may be another feasible follow-up topic for future researchers to explore. The study is also reliant on self-report. Further, objective evidence of validity (e.g., predictive validity) of the SCI is warranted. For example, Otten (2009) showed that the total SCI score was predictive of performance under pressure among novice and expert performers in free throw shooting. Further understanding of how the different dimensions of sport-confidence are related to performance would have significant implications for practice. Conclusion In this study, we examined the applicability of a multidimensional perspective of sport-confidence (Vealey & Chase, 2008; Vealey & Knight, 2002) and the SCI to assess three types of sport-confidence in athletes and non-athlete sport performers. Multiple group model analysis results suggest that the three-factor model of sport-confidence suits better to athletes and the SCI is more feasible for assessing the nature of sport-confidence for athletes than non-athletes. Capacity to distinguish different abilities necessary for success in sport could be an indication of experiences, and further study is warranted to examine an appropriate measure of sport-confidence for non-athletes. Disclosure statement No potential conflict of interest was reported by the authors. References Bandura, A. (1997). Self-efficacy: The exercise of control. New York, NY: W.H. Freeman. Beaumont, C., Maynard, I. W., & Butt, J. (2015). Effective ways to develop and maintain robust sport-confidence: Strategies advocated by sport psychology consultants. Journal of Applied Sport Psychology, 27, 301–318. doi:10.1080/10413200.2014.996302 Bentler, P. M. (2014). EQS for windows (Version 6.2) [Computer software]. Encino, CA: Multivariate Software. Boyd, M., & Yin, Z. (1999). Cognitive-affective and behavioral correlates of self-schemata in sport. Journal of Sport Behavior, 22, 288–302. Cresswell, S., & Hodge, K. (2004). Coping skills: Role of trait sport confidence and trait anxiety. Perceptual and Motor Skills, 98, 433–438. doi:10.2466/pms.98.2.433-438 Dawes, J. G. (2008). Do data characteristics change according to the number of scale points used? An experiment using 5 point, 7 point and 10 point scales. International Journal of Market Research, 51, 61–77. Fischman, M. G. (2011). Editorial: “Chaos in the Brickyard” revisited: What if Forscher were a butcher? Research Quarterly for Exercise and Sport, 82, iii–iv. doi:10.1080/02701367.2011.10599715 Gould, D., Dieffenbach, K., & Moffett, A. (2002). Psychological characteristics and their development in Olympic champions. Journal of Applied Sport Psychology, 14, 172–204. doi:10.1080/ 10413200290103482 Hall, H. K., & Kerr, A. W. (1997). Motivational antecedents of precompetitive anxiety in youth sport. The Sport Psychologist, 11, 24–42. Hanton, S., & Jones, G. (1999). The effects of a multimodal intervention program on performers: Training the butterflies to fly in formation. The Sport Psychologist, 13, 22–41. Hays, K., Maynard, I., Thomas, O., & Bawden, M. (2007). Sources and types of confidence identified by world class sport performers. Journal of Applied Sport Psychology, 19, 434–456. doi:10.1080/ 10413200701599173 Koehn, S., Pearce, A., & Morris, T. (2013). The integrated model of sport confidence: A canonical correlation and meditational analysis. Journal of Sport and Exercise Psychology, 35, 644–654. Magyar, T. M., & Duda, J. L. (2000). Confidence restoration following athletic injury. The Sport Psychologist, 14, 372–390. Mamassis, G., & Doganis, G. (2004). The effects of a mental training program on junior’s pre-competitive anxiety, self-confidence, and tennis performance. Journal of Applied Sport Psychology, 16, 118–137. doi:10.1080/10413200490437903 Marsh, H. W., & Craven, R. G. (2006). Reciprocal effects of self-concept and performance from a multidimensional perspective. Beyond seductive pleasure and unidimensional perspectives. Perspectives on Psychological Science, 1, 133–163. doi:10.1111/ppsc.2006.1.issue-2 Mills, B. D., & Mitchell, C. A. (1996). Sport confidence in early adolescence: Validation of the trait and state sport confidence inventories for middle school aged physical education students. Journal of Human Movement Studies, 31, 75–87. Moritz, S. E., Feltz, D. L., Fahrbach, K. R., & Mack, D. E. (2000). The relation of self-efficacy measures to sport performance: A meta-analytic review. Research Quarterly for Exercise and Sport, 71, 280–294. doi:10.1080/ 02701367.2000.10608908 Muthén, L. K., & Muthén, B. O. (2009). Mplus short courses topic 1: Exploratory factor analysis, and structural equation modeling for continuous outcomes. Retrieved from https://www.statmodel.com/down load/Topic%201.pdf Myers, N. D., Feltz, D. L., & Wolfe, E. W. (2008). A confirmatory study of rating scale category effectiveness for the coaching efficacy scale. Research Quarterly for Exercise and Sport, 79, 300–311. doi:10.1080/ 02701367.2008.10599493 Myers, N. D., Martin, J. J., Ntoumanis, N., Celimli, S., & Bartholomew, K. J. (2014). Exploratory bifactor analysis in sport, exercise, and performance psychology: A substantive-methodological synergy. Sport, Exercise, and Performance Psychology, 3, 258–272. doi:10.1037/ spy0000015 Otten, M. (2009). Choking vs. clutch performance: A study of sport performance under pressure. Journal of Sport and Exercise Psychology, 31, 583–601. JOURNAL OF SPORTS SCIENCES Downloaded by [Florida Atlantic University] at 07:58 18 April 2016 Plubinskas, E. (2012). Dispelling 11 myths about good free-throw shooting. Retrieved from http://www.winninghoops.com/pages/Spre/94Feet-Dispelling-11-Myths-About-Good-Free-Throw-Shooting-02-022012.php Preacher, K. J., & MacCallum, R. C. (2003). Repairing Tom Swift’s electric factor analysis machine. Understanding Statistics, 2(1), 13–43. doi:10.1207/S15328031US0201_02 Thomas, O., Lane, A., & Kingston, K. (2011). Defining and contextualizing robust sport-confidence. Journal of Applied Sport Psychology, 8, 221– 246. Vealey, R. S. (1986). Conceptualization of sport-confidence and competitive orientation: Preliminary investigation and instrument development. Journal of Sport Psychology, 8, 224–246. Vealey, R. S. (2001). Understanding and enhancing self-confidence in athletes. In R. Singer, H. Hausenblaus, & C. Janelle (Eds.), Handbook of sport psychology (2nd ed., pp. 550–563). New York, NY: McMillan. 9 Vealey, R. S., & Chase, M. A. (2008). Self-confidence in sport: Conceptual and research advances. In: T. S. Horn (Ed.), Advances in sport psychology (3rd ed., pp. 65–97). Champaign, IL: Human Kinetics. Vealey, R. S., Hayashi, S. W., Garner-Holman, M., & Giacobbi, P. (1998). Sources of sport-confidence: Conceptualization and instrument development. Journal of Sport and Exercise Psychology, 20, 54–80. Vealey, R. S., & Knight, B. J. (2002, September). Multidimensional sport-confidence: A conceptual and psychometric extension. Paper presented at the Association for the Advancement of Applied Sport Psychology Conference, Tucson, AZ. Vosloo, J., Ostrow, A., & Watson, J. C. (2009). The relationship between motivational climate, goal orientations, anxiety, and self-confidence among swimmers. Journal of Sport Behavior, 32, 376–394. Wakita, T., Ueshima, N., & Noguchi, H. (2012). Psychological distance between categories in the Likert scale: comparing different numbers of options. Educational and Psychological Measurement, 72, 533–546. doi:10.1177/ 0013164411431162