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Calibration in tennis: The role of feedback and expertise



Article � January 2007



CITATIONS                                                                              READS



4                                                                                      193



1 author:

            Gerard Joseph Fogarty

            University of Southern Queensland

             126 PUBLICATIONS 3,956 CITATIONS



                   SEE PROFILE



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Calibration in tennis: The role of feedback and expertise



            Gerard J. Fogarty (fogarty@usq.edu.au)

                          Department of Psychology



University of Southern Queensland, Toowoomba QLD 4350 Australia



              Anthony Ross (a_ross4@hotmail.com)

                          Department of Psychology



University of Southern Queensland, Toowoomba QLD 4350 Australia



                           Abstract                                   subject is well calibrated. A positive bias score

                                                                      indicates overconfidence, while a negative bias score

People are usually overconfident in their expectations of             indicates underconfidence. Research using the

what they can do. The term used to describe the extent                calibration paradigm to judge metacognitive bias in

which people are accurate in these self-assessments is                the sporting domain normally varies from calibration

"calibration". The present study focused on the effects of            testing in the cognitive domain, in that subjects are

feedback and expertise on calibration in the physical task of         immediately aware of their result in physical tasks.

serving in tennis, and three cognitive tests related to tennis.       Therefore, performance predictions are made before a

Sixty-four male and female tennis players, ranging in                 block of attempts, rather than after.

ability level from social to professional, took part in the

study. Participants completed a tennis rules test, a tennis               Studies in calibration have found that people are

general knowledge test, and a tennis technique test, along            generally overconfident when predicting their own

with confidence ratings regarding their answers. They then            performance. In the domain of motor skills, Cohen,

completed two trials of two tennis serving tasks, which also          Dearnaley, and Hansel (1956) found that when bus

involved estimating their expected performance on each                drivers were asked to judge whether they could drive

trial. The results indicated that participants were                   through a narrow gap, they were generally

overconfident on the general knowledge test, the rules test,          overconfident and more experienced drivers were not

and the more difficult serving task, but well calibrated on           any better calibrated than less experienced drivers.

the technique test, and the easier serving task. Expertise            West and Stanovich (1997) also found

was not strongly related to calibration and feedback was not          overconfidence when participants completed a penny

beneficial for the more difficult serving task. The results           slide task on a table top, and although calibration

have implications for decision making in tennis players,              improved on a second trial, significant

especially in relation to the tendency towards                        overconfidence remained.

overconfidence on difficult tasks.

                                                                          Calibration studies of actual physical performance

                        Introduction                                  in sport are hard to find. Jagacinski, Isaac, and Burke

                                                                      (1977) tested the ability of college-level and

The ability to monitor past performance and predict                   professional basketball players to take uncontested

future performance is an important part of day-to-day                 shots from different positions in the court. Before

life. People use beliefs about their own abilities to                 they took the shot, both the player and a passive

help judge performance. Because these beliefs often                   observer predicted if the shot would be made. No

do not match objective performance, they can lead to                  evidence was found that the players were more

performance judgments that do not relate to real                      accurate than the observers, and both were

accomplishment (Dunning, Johnson, & Ehrlinger,                        overconfident in their predictions even when there

2003). The ability to be realistic when rating previous               were penalties for poor predictions. McGraw,

performance and making future probability                             Mellers, and Ritov (2004) measured the confidence

judgments, often referred to as being "well                           that recreational basketball players felt while making

calibrated", has been shown to have benefits in areas                 shots and the pleasure they felt with the results of

such as motivation and goal setting (Horgan, 1992).                   those shots. They also found that most players were

                                                                      overconfident, and those who were more

    In the cognitive domain, where much of the                        overconfident experienced less enjoyment.

calibration research has been conducted, simple

techniques are used to assess calibration. Participants                   Fogarty and Else (2005) used the calibration

usually answer knowledge-related questions and then                   paradigm to measure metacognitive bias in 54 male

indicate how confident they are that their answer was                 golfers ranging in age from 13 to 75. Golfers were

correct in percentage terms (Lichtenstein & Fischoff,                 required to complete a putting task and a chipping

1977). When all questions are completed, the bias                     task after first estimating how well they would

score can be obtained by subtracting the percentage                   perform on each of the tasks. Each exercise was

of correct responses from the average confidence                      repeated once. Results indicated that golfers tended to

rating. If the proportion of correct responses                        be reasonably well calibrated on the putting task but

corresponds with the average confidence rating, the



                                                                 148

slightly overconfident on the chipping task.                  calibration. In the domain of general knowledge,

Participants were also overconfident on the golf rules        Pulford and Colman (1997) found that feedback is

test, which is consistent with other cognitive                only effective in improving calibration for hard

calibration research.                                         questions. Kruger and Dunning (1999) found that in

                                                              comparison to their more competent peers,

    This research was extended by Graham (2006)               incompetent subjects were less able to use feedback

when he studied 137 junior golfers who gave                   to adjust calibration. Fischer and Budescu (2005)

estimates of their ability on putting, chipping, and          found that when testing categorical decision making,

pitching tasks before completing the physical tests.          learning depends on the type of feedback given.

Two experiments were conducted. Experiment 1,

which required players to putt and chip to the shortest           The ability of athletes to learn from feedback

target, revealed good calibration whereas experiment          when completing physical tasks is critical for success

2, which required players to chip and pitch at a more         in sport. Fogarty and Else (2005) found improvement

difficult target, revealed overconfidence.                    in calibration of putting and chipping in golf when

                                                              using only two trial blocks. Graham (2006), also

    Summarising these findings, it appears that               working in the sport of golf, found that players who

overconfidence generally exists in the cognitive              were initially poorly calibrated used feedback from

domain, while in physical tasks and sport, the limited        earlier trials to become better calibrated. On the basis

research suggests that people vary from good                  of these findings, it was therefore hypothesised (H3)

calibration to overconfidence. In relation to the             that calibration would improve on a tennis serving

present study of metacognition in the sport of tennis,        task where feedback is immediate and complete.

it was therefore hypothesised (H1) that

overconfidence would be displayed on a test of tennis                                      Method

rules, a test of tennis technique, a test of tennis

general knowledge, and on two tennis serving tasks.           Participants



    The findings relating to expertise are less clear,            Sixty-four tennis players ranging in age from 14

but researchers have generally found that expertise           to 48 years (M = 20.63, SD = 6.97) were recruited

does lead to better calibration. Keren (1987) found           through personal contact in Cairns, the Sunshine

that expert bridge players were well calibrated when          Coast, Brisbane, and the Gold Coast to take part in

predicting the chances of a final contract being              calibration tests. Players were selected based on

reached whereas amateurs were overconfident.                  variation in expertise and gender. There were 41 male

Horgan (1992) found that better chess players were            and 23 female players. Participants included current

well calibrated, whereas players with lower ratings           and former professional players, social adult players,

were overconfident. Toward (1997) split 24 female             and tournament standard junior players. Current and

undergraduate basketball players into expert and              former professional players were defined as experts

novice groups where classification was based on how           (n = 25), and juniors and social players were defined

many seasons of competitive basketball members had            as non-experts (n = 39) for the expertise analyses.

played. He tested the relationship between action and         Participants were also ranked according to expertise

cognition in the basketball foul shot, and found that         by a representative from Tennis Queensland as a

experts monitored and predicted outcomes better than          cross reference for these groupings.

novices. Against this trend, Fogarty and Else (2005)

found no evidence to suggest that lower handicap              Instruments

golfers were better calibrated on chipping and putting

than high handicap golfers. Despite this last finding,        Test of tennis rules. Fifteen multiple-choice questions

the weight of evidence suggests that calibration and          were designed to test calibration in knowledge of

expertise are associated. It was therefore                    tennis rules (e.g., What is the ruling if during doubles

hypothesised (H2) that expert tennis players would            a player receives out of turn?). Participants were

display better calibration on a serving task than non-        asked to circle the correct answer. They were then

experts.                                                      asked to indicate how confident they were that their

                                                              answer was correct by selecting a confidence rating

    The final variable examined in this study was             for each question in percentage terms (25%, 50%,

feedback, where again the available evidence                  75%, or 100%). Three scores were attained from this

suggests an effect provided certain conditions are            test: Tennis Rules Confidence Rating, Tennis Rules

met. Keren (1987) suggested that the accuracy of              Correct Answers (converted to a percentage), and

calibration depends on the similarity of the mental           Tennis Rules Bias Score, the Bias score being the

processes necessary for repeated probability                  difference between predicted and obtained scores,

assessments. When task items are similar and                  where positive scores suggest overconfidence and

sufficient practice has occurred, he argued that it is        negative scores suggest underconfidence.

feasible to develop procedures that can lead to

accurate predictions. Keren also suggested that

immediate, relevant feedback is imperative for good



                                                         149

Test of tennis general knowledge. Fifteen multiple-             participant was provided with an information sheet

choice questions were designed to test calibration in           detailing the study. Parental consent was obtained for

knowledge of tennis general knowledge (e.g., Which              each participant under 18 years. Informed consent

year did Pat Cash win Wimbledon?). The same                     was held for those participants over 18 years.

procedure was followed as for the test of tennis rules          Participants were offered the chance to indicate their

giving a further three measures: General Knowledge              desire to receive a copy of the results of the study via

Confidence Rating, General Knowledge Correct                    the consent form. Immediately prior to each task,

Answers (converted to a percentage), and General                participants were given a verbal description of the

Knowledge Bias Score.                                           task, told approximately how long it would take to

                                                                complete the task, and that results would not be

Test of tennis technique. Fifteen multiple-choice               shared with anyone outside the experimental team.

questions were designed to test calibration in                  Participants completed the tests, the questionnaire,

knowledge of tennis technique (e.g., Which grip                 and the tasks in the order they appear above. Average

would most advanced players use for a smash?). The              testing time was 45 minutes.

same procedure was followed as for the previous tests

giving a further three measures: Technique                                                  Results

Confidence Rating, Technique Correct Answers

(converted to a percentage), and Technique Bias                    Six cases were identified as having missing values.

Score.                                                          These cases did not perform the serving tasks. This

                                                                resulted in 64 cases completing the cognitive tasks

Serving task 1. Participants were required to hit 10            and 58 cases completing the serving tasks.

first serves on a tennis court into a target area that          Examination of z-scores calculated from the

measured one-quarter of the service box. Participants           skewness and kurtosis statistics indicated that the

were allowed five warm up serves before the                     variables were normally distributed.

instructions were explained. They were then asked to

estimate how many first serves out of the 10 they                 Hypothesis 1 stated that there would be general

could hit into the target area. Instructions emphasized         overconfidence displayed on the tennis rules test, the

that the first serves were to be hit like they would in a       tennis general knowledge test, the tennis technique

real match, and the estimate was to be a realistic              test, and the two serving tasks. The hypothesis was

estimate of their actual score and not what they would          tested by running a repeated measures ANOVA for

`like' to score. Participants then completed the 10             the cognitive tasks. This resulted in a 2 � 3

serves. Three scores were attained from this task:              (calibration: confidence rating/percentage correct;

Serving Estimate 1 (converted to a percentage),                 task: rules/general knowledge/technique) within-

Serving Score 1 (converted to a percentage), and                subjects design. The analysis revealed a significant

Serving Bias 1, the Bias score being the difference             interaction between calibration and task [Wilks'

between estimated and obtained scores, where                    Lambda F(2,126) = 34.28, p < .05], indicating that

positive scores suggest overconfidence and negative             the amount of participant overconfidence depended

scores suggest underconfidence.                                 on the type of cognitive task (See Figure 1).



Serving task 2. Participants were required to hit 10              Paired sample t-tests showed that on the rules test,

first serves on a tennis court into a target area that          participants were overconfident, t(63) = 9.86, p < .05.

measured one-eighth of the service box. The same                On the general knowledge test, participants were

procedure was followed as for Serving Task 1 except             overconfident, t(63) = 7.39, p < .05. On the technique

that participants were not allowed warm up serves.              test, participants were well calibrated, t(63) = 1.70, p

Three outcome measures were attained: Serving                   > .05.

Estimate 2 (converted to a percentage), Serving Score

2 (converted to a percentage), and Serving Bias 2.                               80                      rules



Serving task 1 retest. Serving Task 1 was repeated                               75                      genknow

immediately after the completion of Serving Task 2,

giving a further three measures: Serving Estimate 3,            marginal mean %                                             tech

Serving Score 3, and Serving Bias 3.                                             70



Serving task 2 retest. Serving Task 2 was also                                   65

completed a second time, giving Serving Estimate 4,

Serving Score 4, and Serving Bias 4.                                             60



Procedure                                                                        55



  Ethics approval was attained from the University of                            50                      %correct

Southern Queensland. Data were collected at regional                                        conf rating

tennis associations and various tennis centres across

Brisbane. Prior to the experimental procedure, each                                  calibration



                                                                Figure 1. Overall calibration for cognitive tasks.



                                                           150

A repeated measures ANOVA was then run on the                           little evidence of improved calibration was present,

serving tasks. This resulted in a 2 � 2 � 2 (calibration:               with 36.21% improving, 34.48% becoming worse,

serving estimates/serving scores; task: 1, 2; trial: 1, 2)              and 29.31% staying the same between test and retest.

within-subjects design. There were no significant

interactions. Inspection of the main effects revealed a                                          Discussion

significant effect for calibration [Wilks' Lambda

F(1,57) = 18.33, p < .05] indicating that participants                      Hypothesis 1 was partially supported. Results of

were overconfident across tasks.                                        the rules test and the general knowledge test were in

                                                                        accord with previous research that has generally

  Hypothesis 2 stated that experts would be better                      found overconfidence on cognitive tests (Lichtenstein

calibrated than non-experts. To test this hypothesis,                   & Fischhoff, 1977; West & Stanovich, 1997).

participants were ranked in order of expertise then                     However, participants were well calibrated on the

split into expert (n = 25) and non-expert (n = 39)                      technique test which was surprising. Participants

groups. An expert was defined as any current or                         scored approximately 10% more correct on the

former professional player and a non-expert was                         technique test than the other cognitive tests, but not

defined as any junior or social player. Repeated                        only did participants know more on the technique

measures ANOVAs were run on each of the serving                         test, they also knew more about how much they

tasks. Results indicated that there was no effect for                   knew. It is possible that this was due to the emphasis

expertise on the first serving task but that an effect                  that is placed on technical elements when learning

was present in the more difficult second serving task                   tennis. An average player of tournament standard

[Wilks' Lambda F(1,56) = 5.1, p < .05]. Figure 2                        would have been bombarded with technical

shows the nature of this effect on Trial 2 of Serving                   information for many years through coaching, and

Task 2.                                                                 should generally have a good understanding of how

                                                                        much they know in this area. However, little

marginal mean %  65                                                     emphasis is placed on the rules and the history of the

                                                       expert           game when learning to play, therefore making these

                                                                        subjects susceptible to the same biases that some

                 60                                                     researchers have argued cause overconfidence in

                                                       non-expert       people who have limited knowledge on cognitive

                                                                        tasks (Kruger & Dunning, 1999).

                 55

                                                                          On the serving tasks, players were well calibrated

                 50                                                     on the easier task (task 1), but overconfident on the

                                                                        more difficult task (task 2 and the retest of task 2).

                 45                                                     Fogarty and Else (2005) and Graham (2006) also

                                                                        found that golfers were well calibrated on easier tasks

                 40                                                     (putting) and overconfident on more difficult tasks

                                                                        (chipping and pitching). This pattern is common in

                 35                                                     the cognitive field where it is known as the

                                                                        `calibration difficulty-effect' (Keren, 1991). It

                 30                                                     appears that whatever causes this difficulty-effect is

                                                                        common to both physical tasks and cognitive tasks.

                 25                    serv score

                             serv est                                       Findings relating to expertise were equivocal,

                                                                        with an effect emerging only for Serving Task 2. The

                     calibration                                        fact that experts were better calibrated than non-

                                                                        experts on the more difficult task suggests that they

Figure 2. Experts versus non-experts.                                   may be more familiar with aiming at a smaller target

                                                                        area when serving than non-experts. Fogarty and Else

Hypothesis 3 stated that feedback would improve                         (2005) also failed to find an effect for expertise in

calibration on the serving tasks. To test this                          their study of golfers. Perhaps expertise actually

hypothesis, an underconfident person was defined as                     interferes with calibration by making experts overly

someone whose serving estimate was lower than                           confident in their judgments, especially in the case of

his/her serving score. An overconfident person was                      easier tasks,

defined as someone whose serving estimate was

higher than his/her serving score. Those who were                           The outcomes were also equivocal in relation to

underconfident on task 1 improved calibration (M =                      feedback. In the case of the first serving task,

10.95) on the retest, t(20) = 4.26, p < .05. Those who                  participants who were mis-calibrated on Trial 1

were overconfident on task 1 improved calibration (M                    tended to improve on Trial 2, but this trend was not

= 18.97) on the retest, t(28) = 4.56, p < .05. Those                    evident on the more difficult second serving task.

who were underconfident on task 2 did not improve                       Fogarty and Else (2005) and Graham (2006) both

calibration on the retest, t(13) = 1.24, p > .05. Those

who were overconfident on task 2 improved

calibration (M = 13.44) on the retest, t(31) = 3.70, p >

.05. To test this hypothesis further, a count was taken

to determine whether individuals' calibration

improved, declined, or stayed the same on the second

trial. For task 1, 48.28% improved, 24.14% became

worse, and 27.59% stayed the same between test and

retest, indicating support for hypothesis 3. On task 2,



                                                                   151

found that poor calibration was more likely to occur                basketball shooting. Journal of Motor Behavior,

on difficult performance tasks in golf, and that                    9(3), 225-234.

feedback did not have much effect on this mis-                  Keren, G. (1987). Facing Uncertainty in the Game of

calibration. It appears that whatever causes the                    Bridge: A Calibration Study. Organisational

`calibration difficulty-effect' in sporting tasks also              Behavior and Human Decision Processes, 39, 98-

contributes to making it more robust and resistant to               114.

change.                                                         Keren, G. (1991). Calibration and probability

                                                                    judgements: Conceptual and methodological

    The findings of the current study should be treated             issues. Acta Psychologia, 77, 217-273.

with some caution. It is the first time calibration             Kruger, J., & Dunning, D. (1999). Unskilled and

procedures have been applied to the sport of tennis,                unaware of it: How difficulties in recognizing

and to the best of our knowledge this is only the third             one's own incompetence lead to inflated self-

time this technique has been used in any sport. The                 estimates. Journal of Personality and Social

major limitation of our methodology is that                         Psychology, 77(6), 1121-1134.

conditions under which tennis players serve in                  Lichtenstein, S., & Fischoff, B. (1977). Do those who

competitive matches were not replicated in this study.              know also know more about how much they

Although the physical task of serving was the same as               know? Organisational Behaviour and Human

would occur in a match, there was no one returning                  Performance, 20, 159-183.

the serve and participants were not required to finish          McGraw, A. P., Mellers, B. A., & Ritov, I. (2004).

the point. Calibration is important in all walks of life,           The affective cost of overconfidence. Journal of

including sport, and future research should be                      Behavioral Decision Making, 17(4), 281-295.

directed at methodological as well as theoretical               Pulford, B. D., & Colman, A. M. (1997).

issues.                                                             Overconfidence: Feedback and item difficulty

                                                                    effects. Personality and Individual Differences,

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