Let and be two independent random samples from the continuous distribution functions and , respectively, where and are all unknown. Further, let be the unique median of and be the unique median of . Let be the rank of in the combined sample, i = 1, 2, …, 9. For testing against , the test statistic ₌ is proposed. Then, which of the following statements are true?
Part CCSIR NET June 2025the-shifted-up-sample-is-the-x-one-so-large-mu-drags-the-y-ranks-down
The shifted up sample is the x one so large mu drags the y ranks down
Related counterexample: Any interval of the form [X̄ − (S/√n)t, ∞) with a 90% quantile t is a 90% confidence interval
- runs distributionJune 2023
- one sided intervalsDecember 2023
- kolmogorov scalingDecember 2023
- the independence variance is one over n minus oneDecember 2024
- symmetry is about the mean not about mn over twoDecember 2024
- randomise at the boundary to hit the sizeDecember 2024
The chapter behind this: Standard tests and confidence intervals — free to read
From Hypothesis Testing › Likelihood ratio and standard tests