Sequential Hypothesis Testing Task

See: Sequential Analysis, Sample Size, Stopping Rule, Hypothesis Testing, CUSUM.

References

(Wikipedia, 2021) ⇒ https://en.wikipedia.org/wiki/Sequential_analysis Retrieved:2021-12-28.
- In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data are evaluated as they are collected, and further sampling is stopped in accordance with a pre-defined stopping rule as soon as significant results are observed. Thus a conclusion may sometimes be reached at a much earlier stage than would be possible with more classical hypothesis testing or estimation, at consequently lower financial and/or human cost.

(Wikipedia, 2021) ⇒ https://en.wikipedia.org/wiki/Sequential_analysis#Clinical_trials Retrieved:2021-12-28.
- In a randomized trial with two treatment groups, group sequential testing may for example be conducted in the following manner: After n subjects in each group are available an interim analysis is conducted. A statistical test is performed to compare the two groups and if the null hypothesis is rejected the trial is terminated; otherwise, the trial continues, another n subjects per group are recruited, and the statistical test is performed again, including all subjects. If the null is rejected, the trial is terminated, and otherwise it continues with periodic evaluations until a maximum number of interim analyses have been performed, at which point the last statistical test is conducted and the trial is discontinued.