Testing of Hypotheses
55 questions across 7 topics.
Testing of Hypotheses
- 8Power function of a two-sided LRTIIT JAM 2026 MSTesting of HypothesesMedium
- 26Error probabilities for a chi-square testIIT JAM 2026 MSTesting of HypothesesMedium
- 27Power of a uniform threshold testIIT JAM 2026 MSTesting of HypothesesMedium
- 39MP test for two geometric samplesIIT JAM 2026 MSTesting of HypothesesHard
- 58p-value for a Beta shape testIIT JAM 2026 MSTesting of HypothesesHard
- 5Power of an MP Bernoulli testIIT JAM 2025 MSTesting of HypothesesMedium
- 8Power of MP test of uniform vs triangularIIT JAM 2025 MSTesting of HypothesesMedium
- 22UMP test for a Laplace scaleIIT JAM 2025 MSTesting of HypothesesHard
- 45Type I error of a uniform max testIIT JAM 2025 MSTesting of HypothesesEasy
- 10Critical value of a Gaussian LRTIIT JAM 2024 MSTesting of HypothesesMedium
- 29MP test for an exponential rateIIT JAM 2024 MSTesting of HypothesesMedium
- 30Power interval of a chi-square scale testIIT JAM 2024 MSTesting of HypothesesMedium
- 40Size, power and UMP property for a normal meanIIT JAM 2024 MSTesting of HypothesesMedium
- 60Power of a Poisson sum testIIT JAM 2024 MSTesting of HypothesesMedium
- 10Power of MP test for power-law densityIIT JAM 2023 MSTesting of HypothesesMedium
- 28P-value of two-sided t-testIIT JAM 2023 MSTesting of HypothesesMedium
- 50P-value for exponential scale testIIT JAM 2023 MSTesting of HypothesesMedium
- 58Size of composite hypothesis testIIT JAM 2023 MSTesting of HypothesesMedium
- 59Sum of Type-II error probabilitiesIIT JAM 2023 MSTesting of HypothesesMedium
- 10Simple null hypothesis in normal distributionIIT JAM 2022 MSTesting of HypothesesEasy
- 29Non-existence of certain test sizeIIT JAM 2022 MSTesting of HypothesesMedium
- 30Power of Poisson likelihood ratio testIIT JAM 2022 MSTesting of HypothesesMedium
- 40Power function of normal mean testIIT JAM 2022 MSTesting of HypothesesMedium
- 50Type-II error probability in normal testIIT JAM 2022 MSTesting of HypothesesMedium
- 60P-value of one-sided t-testIIT JAM 2022 MSTesting of HypothesesMedium
- 23Dual exponential tests with flipped hypothesesIIT JAM 2021 MSTesting of HypothesesHard
- 27Type II error against a triangular densityIIT JAM 2021 MSTesting of HypothesesMedium
- 33Power function of a one-sided normal LRTIIT JAM 2021 MSTesting of HypothesesMedium
- 45Size and power from a pmf tableIIT JAM 2021 MSTesting of HypothesesEasy
- 30UMP test for a Beta familyIIT JAM 2020 MSTesting of HypothesesHard
- 40Neyman-Pearson test at a named sizeIIT JAM 2020 MSTesting of HypothesesMedium
- 50Error probabilities of a uniform testIIT JAM 2020 MSTesting of HypothesesMedium
- 60Power of the two-sided normal LRTIIT JAM 2020 MSTesting of HypothesesMedium
Most powerful tests
- 29Most powerful test between two symmetric densitiesIIT JAM 2019 MSMost powerful testsMedium
- 29Most powerful test between two discrete uniformsIIT JAM 2018 MSMost powerful testsHard
- 22Power of the most powerful test between two uniformsIIT JAM 2017 MSMost powerful testsHard
- 40Values of the sample total at which the UMP test rejectsIIT JAM 2017 MSMost powerful testsMedium
- 17Critical region of the most powerful test for a Laplace scaleIIT JAM 2016 MSMost powerful testsMedium
- 37Testing problems with a large-sum rejection regionIIT JAM 2016 MSMost powerful testsMedium
- 6Most powerful test between two gamma shapesIIT JAM 2015 MSMost powerful testsMedium
- 10Critical value of the most powerful test for a Pareto-type densityIIT JAM 2014 MSMost powerful testsHard
- 11Power of the most powerful test for two densities on the unit intervalIIT JAM 2014 MSMost powerful testsMedium
- 9Critical value of the most powerful test for the rate of a gamma densityIIT JAM 2013 MSMost powerful testsHard
- 13Power of a most powerful test with a stated sizeIIT JAM 2013 MSMost powerful testsHard
Type I and Type II errors
- 30Minimum sample size for a size constraintIIT JAM 2019 MSType I and Type II errorsMedium
- 30Size and power of a given critical regionIIT JAM 2018 MSType I and Type II errorsMedium
- 59Size plus power of a test for a uniform on moving supportIIT JAM 2018 MSType I and Type II errorsMedium
- 20Size and power of a test on a four-point variableIIT JAM 2016 MSType I and Type II errorsMedium
- 18Type I and Type II errors of a threshold test for an exponential rateIIT JAM 2015 MSType I and Type II errorsMedium
- 15Type I and Type II errors for a two-sided binomial testIIT JAM 2012 MSType I and Type II errorsMedium