Related Experiment Video
Updated: Jun 6, 2025

Measuring the Subjective Value of Risky and Ambiguous Options using Experimental Economics and Functional MRI Methods
Published on: September 19, 2012
The reliability of basketball shooting tests with binary outcomes
R Jutreša1, E Štrumbelj1, F Erčulj2
1Faculty of Computer and Information Science, University of Ljubljana, Ljubljana, Slovenia.
Abstract:
This paper addresses distinct questions related to the reliability of basketball shooting tests: (i) how to appropriately model data from tests with binary outcomes, (ii) how many shots are needed for the tests to be reliable, and (iii) can additional information from shot trajectories (shot hit location and entry angle) improve the reliability of the shooting tests? We designed a Bayesian statistical model that takes into account the binary nature of the outcomes and can be used to model test data for multiple individuals simultaneously. We demonstrated the utility of our approach with a simulation study and on a real-world example with 27 basketball players and 7309 shots across 4 different shooting tests. Results showed the practical importance of modelling data as binary and the relatively large sample sizes required for the tests to be reliable. We also showed that additional information from shot trajectories provides valuable insights into an individual's shooting, but we were unable to achieve a meaningful improvement in the estimation of shooting ability.
Related Concept Videos
Binomial Probability Distribution
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
Bias
In statistics, a sampling bias is created when a sample is collected from a population, and some members of the population are not as likely to be chosen as others (remember, each member...
Reliability and Validity
Errors In Hypothesis Tests
Wald-Wolfowitz Runs Test I
The test works...
Accuracy and Errors in Hypothesis Testing
In hypothesis testing, the probability of making a Type I error, denoted as α, is commonly set at 0.05. This significance level indicates a 5%...

