Reference Ranges

CueMate provides reference ranges to help users interpret their metrics. The reference ranges indicate the desirable range of values for the various metrics.

A key feature of CueMate is its ability to account for different player subgroups (see below) to describe the appropriate performance expectations based on player individual factors and skill levels.

Overview

The reference ranges divide the metric overall range into five sub-ranges. The most desirable sub-range, the target range, is shown in deep blue, and the least desirable is shown in light blue.

For metrics that describe monotonously increasing values, such as ball spin, ball speed, or sweet spot %,the subranges correspond to Very Low, Low, Medium, High, and Very High, as shown here.

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Reference Ranges Computation

The reference ranges are computed based on the metrics' statistical distribution considering different player population subgroups.

The example here shows a distribution of spin for a group of players. Spin, like many other metrics, is typically distributed following a so-called normal distribution. That means the mean value is close to the median, and the probability of low and high spin values gets lower as you move away from the average spin. For example, the likelihood of producing a very high spin (here above 2500rpm)in a general player group is low.

The five ranges from very low to very high are computed by dividing the distribution into regions with equal probability increments of 20%.

Metrics Display

On the CueMate app, each metric is displayed in terms of its statistics (mean and standard deviation).These quantities are superposed on a blue scale (low, medium, high, very high) that makes it possible to understand where the player’s attributes fall relative to the larger player population.

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Metric Reference Interpretation

The reference ranges allow the following basic interpretations:

  • The average value indicates the level achieved when averaged over many repetitions.
  • The location of the average within reference subregions indicates where the players' metrics fall relative to the player's subgroup.
  • The standard deviation indicates the variation in the metric around its average value. It can extend across reference subregions. For example, the top spin may be medium on average, with some probability of reaching values categorized as high.
  • The range within the standard deviation represents values achieved with high probability (68%,assuming the distribution is normal).

Reference Ranges – Population Subgroups

The reference ranges are adapted to each class and metric; however, the values only make sense if they are based on the skills and performance of players with similar levels and individual factors.

CueMate computes reference values for different population subgroups. The more specific the subgroup, the more useful the reference values for training.

Subgroups Overview

Social Groups

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Using Reference Groups