A professional who conducts research into mathematical theories and proofs that form basis of science of statistics and develops statistical methodology. Responsibilities include:

• Examines theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
• Develops and tests experimental designs, sampling techniques, and analytical methods, and prepares recommendations concerning their utilization in statistical surveys, experiments, and tests.
• Investigates, evaluates, and prepares reports on applicability, efficiency, and accuracy of statistical methods used by physical and social scientists, including applied statisticians in obtaining and evaluating data.