GATE ST case studies
GATE ST · Put your knowledge to work in context.
GATE 2025, the Graduate Aptitude Test in Engineering, is a national-level examination that primarily tests comprehensive understanding of undergraduate-level subjects in Engineering, Technology, Architecture, Science, Commerce, Arts and Humanities. The Statistics (ST) test paper is one of the 30 test papers offered, and candidates may appear for one or two test papers from the allowed two-paper combinations. GATE 2025 is organised by the Indian Institute of Technology Roorkee (IITR) and conducted by IISc Bengaluru and seven IITs on behalf of the National Coordination Board (NCB), Department of Higher Education, Ministry of Education, Government of India. The exam is a computer-based test (CBT), held on February 1st, 2nd, 15th and 16th, 2025. The GATE ST case studies are 5 cases and about 2,014 words.
1Crossover Bioequivalence with Differential Dropout
A two-period, two-sequence crossover pilot is run in 18 healthy volunteers to compare a test formulation (T) and a reference (R) on log-transformed AUC. Ten volunteers receive T then R; eight receive R then T.
512 words, about 3 min2Stratified Income Survey with Unequal Nonresponse
A household income survey stratifies a city into 7,200 urban and 4,800 rural households. A sample of 400 urban and 300 rural households is drawn; 320 urban and 180 rural households respond.
382 words, about 2 min3Unit Root Test Conflict and Possible Overdifferencing
A monthly demand series has 96 observations. An ADF test on levels gives p=0.12; a KPSS test with level and trend gives p=0.03.
391 words, about 2 min4Fractional Factorial with Aliased Two-Factor Interactions
A 2^(4−1) fractional factorial experiment studies conversion yield. Factors: A temperature, B pressure, C catalyst, D residence time.
378 words, about 2 min5Bayesian Phase II Decision with Prior Sensitivity
A phase II oncology trial plans to enroll 40 patients. The historical response rate for standard therapy is 0.20.
351 words, about 2 min