Statistics Paper II 2026
80 questions, booklet SNCS-B-STS.
Section I · Objective (Q1–Q80) · Q1–80
Practise this section →- 1Consistent estimator of the meanStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 2Sufficient statistic — Pareto-type densityStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 3Neyman–Pearson best critical regionStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 4Cramer–Rao bound and unbiased estimator of sigmaStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 5Confidence interval from the minimum of an exponential sampleStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 6Bias and unbiasedness of e^2bar XStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 7Method of moments estimatorStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 8Power of the most powerful testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 9Sufficient statistic — exponential distributionStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 10MVB estimator of sigma^2Statistical InferenceStatistical Inference and Hypothesis TestingEasy
- 11Standard error from a confidence intervalStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 12Definition of sufficiencyStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 13Unbiased estimator of sigma^2Statistical InferenceStatistical Inference and Hypothesis TestingEasy
- 14Neyman–Pearson lemmaStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 15Sufficiency of T and S0^2Statistical InferenceStatistical Inference and Hypothesis TestingEasy
- 16Linear combinations of an MVUE are not MVUEStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 17Fisher information for sigma^2Statistical InferenceStatistical Inference and Hypothesis TestingMedium
- 18MVB estimator achieves the Cramer–Rao boundStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 19Test statistic for a partial correlationMultivariate AnalysisStatistical MethodsMedium
- 20Likelihood ratio statisticStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 21UMP tests for one- and two-sided alternatives on sigma^2Statistical InferenceStatistical Inference and Hypothesis TestingMedium
- 22Sufficient statistics for a Bernoulli parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 23Averaging an MVUE with an inefficient estimatorStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 24MLE and MME for the exponential rateStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 25Correlation between two unbiased estimatorsStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 26Definition of consistencyStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 27Fisher information for a Bernoulli parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 28Sufficient statistic — power distributionStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 29What the most powerful test maximizesStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 30MP test statistic — BernoulliStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 31SPRT boundary inequalitiesStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 32Asymptotic properties of the MLEStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 33Bias–variance decompositionStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 34Sufficiency and MLE — power distributionStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 35Rao–Blackwell theoremStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 36MLE vs. unbiased estimators of sigma^2 in N(mu,sigma^2)Statistical InferenceStatistical Inference and Hypothesis TestingEasy
- 37Direction of relative efficiencyStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 38MLEs of the endpoints of a uniform distributionStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 39Resampling methodsStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 40Definition of an unbiased testStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 41Sufficient statistic — discrete uniformStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 42MLE and MME for the exponential rate (again)Statistical InferenceStatistical Inference and Hypothesis TestingEasy
- 43UMVUE of p(1-p)Statistical InferenceStatistical Inference and Hypothesis TestingMedium
- 44MLE as a function of a sufficient statistic; invarianceStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 45Non-existence of an MVB estimator — CauchyStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 46Method of moments estimator — GammaStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 47Nature of n, alpha, beta in SPRTStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 48SPRT rejection region — normal meanStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 49Scope of Neyman–Pearson lemma vs. likelihood ratio testStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 50Sample mean from a confidence intervalStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 51Number of independent solutions of a consistent linear systemLinear AlgebraStatistical Inference and Hypothesis TestingMedium
- 52Invariance and symmetry of XGX'Linear Models & RegressionLinear ModelsMedium
- 53Rank of a generalized inverseLinear AlgebraLinear ModelsMedium
- 54Unbiased estimator of sigma^2 from contrastsLinear Models & RegressionLinear ModelsMedium
- 55Uncorrelated BLUEs in a Gauss–Markov modelLinear Models & RegressionLinear ModelsMedium
- 56BLUE of a linear combination of parametersLinear Models & RegressionLinear ModelsMedium
- 57Nested models and residual sums of squaresLinear Models & RegressionStatistical MethodsEasy
- 58Regression of Y on X versus X on YLinear Models & RegressionStatistical MethodsEasy
- 59Invariance of estimable functionsLinear Models & RegressionLinear ModelsMedium
- 60Dimension of an error spaceLinear Models & RegressionLinear ModelsMedium
- 61Divisions of the National Statistical OfficeOfficial StatisticsOfficial StatisticsMedium
- 62Objectives of the International Comparison ProgrammeOfficial StatisticsOfficial StatisticsEasy
- 63Base revisions of CPI and National AccountsOfficial StatisticsOfficial StatisticsMedium
- 64New initiatives for Census 2027Official StatisticsOfficial StatisticsEasy
- 65Swachh SurvekshanOfficial StatisticsOfficial StatisticsEasy
- 66Agriculture CensusOfficial StatisticsOfficial StatisticsMedium
- 67Expenditure components of GDPOfficial StatisticsOfficial StatisticsEasy
- 68Official statistics as a public goodOfficial StatisticsOfficial StatisticsEasy
- 69Agencies releasing price indicesOfficial StatisticsOfficial StatisticsMedium
- 70Composition of the National Statistical CommissionOfficial StatisticsOfficial StatisticsMedium
- 71Constitutional placement of statisticsOfficial StatisticsOfficial StatisticsMedium
- 72Origin of the SDG frameworkOfficial StatisticsOfficial StatisticsEasy
- 73Secondary sector in GDP estimationOfficial StatisticsOfficial StatisticsEasy
- 74Definitions of infant mortality ratesDemography / Vital StatisticsDemography and Vital StatisticsEasy
- 75Population Census 2027Official StatisticsOfficial StatisticsMedium
- 76How inflation is measuredIndex Numbers & Time SeriesApplied StatisticsEasy
- 77The eSAKSHI portalOfficial StatisticsOfficial StatisticsMedium
- 78Simple aggregative price indexIndex Numbers & Time SeriesApplied StatisticsEasy
- 79Fisher's ideal indexIndex Numbers & Time SeriesApplied StatisticsEasy
- 80Marshall–Edgeworth price indexIndex Numbers & Time SeriesApplied StatisticsEasy