GATE Non-parametric Statistics: Rank and Sign Tests – Previous Year Questions
8 GATE previous year questions on Rank and Sign Tests (Non-parametric Statistics, Statistics) with answers and explanations, from every paper.
- GATE 2021 ST Q64 – X₁,…,X₁₀ are iid with density f θ(x)=f(x−θ),where f is symmetric about zero. For testing θ=1.2 against θ≠1.2,let T⁺ be the Wilcoxon signed-rank…
- GATE 2022 ST Q51 – Independent size-seven samples are population 1:(18,20,16,20,17,18,14) and population 2:(17,18,14,20,14,13,16). For the two-sided 5% Mann–Whitney test…
- GATE 2022 ST Q56 – For n paired observations used in Spearman rank correlation,x i are distinct for i≥2 and x₁=x₂. Given Σd i²=19.5,where d i=rank(x i)−rank(y i),find…
- GATE 2023 ST Q27 – X₁,…,X n are iid with density f and median θ. To test θ=θ₀ against θ>θ₀,reject if S>c,where S counts X i>θ₀. Which statement is true?
- GATE 2024 ST Q27 – An iid sample n≥11 has a continuous strictly increasing CDF and median M. Test H₀:M=10 against H₁:M>10 by rejecting if T≥c, where T counts…
- GATE 2024 ST Q57 – Independent samples 1,6,5,3 and 11,7,15,4 test H₀:F=G against H₁:F(t)≥G(t),strict somewhere, by Mann–Whitney U. Given upper-tail cutoffs…
- GATE 2025 ST Q34 – Three independent observed pairs are (1,3),(2,4),(7,8). Find their Spearman rank correlation to two decimals.
- GATE 2026 ST Q46 – Five iid observations come from a continuous distribution with population median θ (1/2). Test H₀:θ (1/2)=2.5 against H₁:θ (1/2)>2.5. Which is a…