Table 5 Summary of predictive performance with the test set, the root mean square error (RMSE), the concordance correlation coefficient (CCC) and its 95% confidence interval, the Pearson correlation coefficient (r), the accuracy measure (\(\text{ C}_{b}\)), the number of observations in the test set (\(N_{\text {Test}}\)) and the number of observations in the training set (\(N_{\text {Training}}\)).

From: A hierarchical approach for evaluating athlete performance with an application in elite basketball

Test set

RMSE

CCC

r

\(\text{ C}_{b}\)

\(N_{\text {Test}}\)

\(N_{\text {Training}}\)

\({\hat{\rho }}_{CCC}\)

Lower

Upper

Season 2015–2016

\(6.810 \times 10^{-4}\)

0.9612

0.9603

0.9622

0.9615

0.9998

28,978

81,369

Season 2016–2017

\(8.492 \times 10^{-4}\)

0.9558

0.9548

0.9568

0.9631

0.9925

29,099

81,248

Season 2017–2018

\(8.254 \times 10^{-4}\)

0.9562

0.9553

0.9572

0.9627

0.9932

26,165

84,182

Season 2018–2019

\(8.892 \times 10^{-4}\)

0.9526

0.9515

0.9537

0.9598

0.9925

26,105

84,242

\(10\times 4=40\) Games\(^{*}\)

\(6.831 \times 10^{-4}\)

0.9639

0.9569

0.9710

0.9647

0.9992

877

103,289

\(50\times 4=200\) Games

\(6.862 \times 10^{-4}\)

0.9637

0.9597

0.9677

0.9643

0.9993

4,218

99,948

\(150\times 4=600\) Games

\(6.882 \times 10^{-4}\)

0.9637

0.9617

0.9758

0.9644

0.9993

11,925

92,201

  1. * \(10 \times 4\) means a random sample of 10 games by each of 4 seasons, which represents 40 games