That's out! How expert umpires make leg-before-wicket judgements in cricket.

Despite evidence that elite-level cricket umpires are highly accurate in making leg-before-wicket (LBW) judgements, there is limited understanding as to how they make these judgements. In this study, we explored the explicit LBW decision-making expertise of elite-level cricket umpires (N = 10) via 10 individual semi-structured interviews. Using thematic analysis, we aimed to identify the sources of information that umpires incorporate into their decision-making process. Results indicated that umpires engage in intentional pre-delivery information-gathering to guide their expectations, and to set context-specific parameters as to what would constitute an LBW dismissal. Not only do umpires use information about the ball trajectory, but they also use additional information about the condition of the pitch, the action-capabilities and susceptibilities of players, and the unique requirements of different match formats. Umpires reported employing a gaze-anchor strategy when gathering information for each delivery and described the process of this information as initially intuitive, before engaging in deeper post-hoc reasoning. Findings highlight the importance of including contextual information when exploring officials' decisions and may inform future training interventions for cricket umpires.

On why we lack confidence in some signal-detection-based analyses of confidence.

Signal-detection theory (SDT) is one of the most popular frameworks for analyzing data from studies of human behavior - including investigations of confidence. SDT-based analyses of confidence deliver both standard estimates of sensitivity (d'), and a second estimate informed by high-confidence decisions - meta d'. The extent to which meta d' estimates fall short of d' estimates is regarded as a measure of metacognitive inefficiency, quantifying the contamination of confidence by additional noise. These analyses rely on a key but questionable assumption - that repeated exposures to an input will evoke a normally-shaped distribution of perceptual experiences (the normality assumption). Here we show, via analyses inspired by an experiment and modelling, that when distributions of experience do not conform with the normality assumption, meta d' can be systematically underestimated relative to d'. Our data highlight that SDT-based analyses of confidence do not provide a ground truth measure of human metacognitive inefficiency. We explain why deviance from the normality assumption is especially a problem for some popular SDT-based analyses of confidence, in contrast to other analyses inspired by the SDT framework, which are more robust to violations of the normality assumption.

Home advantage and LBW decisions: The contribution of umpiring to the home-ground (dis)advantage in cricket.

OBJECTIVES: This study aimed to determine whether elite cricket umpires' decisions contribute to home advantage via leg-before-wicket decisions. DESIGN: Leg-before-wicket decisions (n = 4971) from actual elite level cricket matches in Australia between 2009 and 2016 were analysed using a binomial logistic regression to predict the umpires' leg-before-wicket decisions. METHODS: Regressions were performed to determine whether the batter's team (home or away) influenced the likelihood that the umpire would give them out leg-before-wicket. RESULTS: We found no evidence of home advantage in umpires' leg-before-wicket decisions. In fact, we found evidence that umpires in some instances disadvantage the home team. CONCLUSIONS: We suggest that the increased professionalism of sports officials, and the scrutiny they are placed under, may lead umpires to reduce or even overcompensate for any existing biases in their decision making.

Is the pink ball still under review? Cricket umpires' perceptions of the pink ball for day/night matches.

OBJECTIVES: The visibility of the pink ball used in day/night Test cricket has been under scrutiny, with recent research suggesting cricketers find the pink ball less visible at dusk under floodlights. With increasing interest in this match format, this study sought to investigate elite umpires' opinions pertaining to the visibility of the pink cricket ball during day/night matches. DESIGN: Purposeful sampling of a cross-section of elite umpires with experience adjudicating matches played using a pink cricket ball. METHODS: Twenty-seven international/first-class umpires completed a questionnaire consisting of Likert scale and free text responses covering perceptions of the pink cricket ball, with a particular emphasis on visibility. RESULTS: The pink ball when viewed at night under floodlights was rated as being significantly more visible than the red ball during natural lighting (ps<0.050). Umpires who actively participated in training reported a significantly higher rating of the visibility of the pink ball (mean -3.14) at night under floodlights compared to those who didn't (mean p=0.010). No significant difference was reported in visibility in natural light or dusk under floodlights. Free text responses (n=10) revealed the following themes: use of eyewear (coverage 0.30), and adjustment to positioning (coverage 0.20) to improve visibility of the pink ball. CONCLUSIONS: Umpires report the visibility of the pink ball is equal to the red in natural light and at dusk but is significantly better at night. Preference for the pink ball is likely due to the predominantly perceptual nature of visual tasks performed by umpires.

Cricketers are not tickled pink by the new coloured ball.

OBJECTIVES: Cricket administrators have started scheduling long-form matches which finish at night and are played with a pink as opposed to a red ball. However, there are reports that the pink ball may introduce new dangers and alter performance. The aim of this study was to investigate professional cricketers' opinions about the visibility of the pink ball whilst playing in different lighting conditions (afternoon, dusk and night). DESIGN: Purposeful sampling of a cross-section of elite cricketers with pink ball experiences playing in the United Kingdom. METHODS: Eighty-eight international or first-class professional cricketers completed a questionnaire consisting of Likert scale and free text responses to questions covering perceptions of the pink ball, with a particular emphasis on visibility. RESULTS: The pink ball was reported as less visible than the red ball when batting (p<0.001) and fielding (p<0.001). Within the three lighting conditions the pink ball was significantly less visible at dusk under floodlights compared to afternoon and night both when batting and fielding (ps<0.001). Free text comments confirmed that visibility of the pink cricket ball was most challenging at dusk (coverage 0.37), and that players sometimes experienced a blurring sensation with the pink ball leaving a visual 'trail' when viewed under floodlights (coverage 0.24). CONCLUSIONS: Results advocate that governing bodies should consider the inclusion of a break in play during dusk to enhance player safety and performance. Empirical research is needed to quantify the risks to player safety in different lighting conditions.

Pink Cricket Balls Through Rose-Tinted Glasses: Enhancing Interceptive Timing.

Cricket is a popular but potentially dangerous sport. It is played with a hard ball that can travel at great speeds. Serious injuries, including fatalities, have occurred when balls have struck participants. The game is traditionally played during daylight with a dark red ball, but recent games have been played during the day and at night using a 'pink' ball. We have reported data that seemed to justify concerns raised regarding the visibility of these new pink balls, as they were revealed to have a very low luminance contrast against pertinent backgrounds during twilight. Here, we report on the findings of a psychophysical experiment, wherein we mimicked twilight lighting conditions in an interceptive timing experiment using a pink moving disc as an analogue for pink cricket balls. We show that interceptive timing performance is diminished in conditions that mimic twilight. More importantly, we show that wearing glasses with a rose-tinted filter can alleviate this adverse impact by enhancing the luminance contrast of the pink 'ball' relative to pertinent backgrounds.

Pink Cricket Balls May Be Visually Challenging at Sunset.

Cricket is one of the world's most popular sports, followed by hundreds of millions of people. It can be dangerous, played with a hard ball flying at great velocities, and accidents have occasionally been fatal. Traditionally, cricket has been played during the day, using a dark red ball. Since the late 1970s, a shorter form of one-day cricket has been played both during the day and at night under floodlights. To overcome visibility issues, one-day cricket uses a white ball, and players wear coloured clothing. There is now a desire to play a traditional form of cricket during the day and at night, using a 'pink' ball while players wear white clothing. Concerns regarding visibility, and player and umpire safety, have been raised in this context. Here, we report that these concerns have a sound basis.