Statistics Paper II 2025
80 questions, booklet ISS-2025-P2.
Section I · Objective (Q1–Q80) · Q1–80
Practise this section →- 1Statistical Inference — properties of estimators comparedStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 2Statistical Inference — large-sample closeness to parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 3Statistical Inference — efficiency of the two sample variancesStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 4Statistical Inference — UMVUE of Poisson parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 5Statistical Inference — defining condition for a UMVUEStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 6Statistical Inference — variance of the sample varianceStatistical InferenceStatistical MethodsEasy
- 7Statistical Inference — fixed length confidence intervalsStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 8Statistical Inference — range statistic in uniform location familyStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 9Statistical Inference — unbiased but inconsistent estimatorStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 10Statistical Inference — pivot in a location-scale familyStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 11Statistical Inference — level of significance for composite nullStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 12Statistical Inference — power of most powerful testStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 13Statistical Inference — power of MP test for single observationStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 14Statistical Inference — distribution with MLR propertyStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 15Statistical Inference — moment estimate for uniform familyStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 16Statistical Inference — OC function and ASN of an SPRTStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 17Statistical Inference — completeness of largest order statisticStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 18Statistical Inference — sufficiency in a curved familyStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 19Statistical Inference — pivot from probability integral transformStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 20Statistical Inference — properties of maximum for uniform familyStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 21Statistical Inference — consistent estimator of location parameterStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 22Statistical Inference — sample mean unbiased and consistentStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 23Statistical Inference — width of confidence interval for meanStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 24Statistical Inference — unbiased estimator from one observationStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 25Statistical Inference — unbiased estimator of location parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 26Statistical Inference — parameter estimated unbiasedly by indicatorStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 27Statistical Inference — MVUE for uniform upper endpointStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 28Statistical Inference — sufficiency in two uniform familiesStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 29Statistical Inference — unbiased estimate of population sizeStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 30Statistical Inference — moment estimator for a mixtureStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 31Statistical Inference — lower bound for estimator varianceStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 32Statistical Inference — sufficient statistic for power familyStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 33Statistical Inference — conditional distribution given the totalStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 34Statistical Inference — sample mean from a confidence intervalStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 35Statistical Inference — degrees of freedom in paired t-testStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 36Statistical Inference — definition of an unbiased testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 37Statistical Inference — MLE of the exponential meanStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 38Statistical Inference — moment estimator versus MLEStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 39Statistical Inference — moment estimator of lower endpointStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 40Statistical Inference — moment estimator of upper endpointStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 41Statistical Inference — minimal sufficiency and completenessStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 42Statistical Inference — total of Bernoulli observationsStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 43Statistical Inference — sufficiency for a subclassStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 44Statistical Inference — meaning of BlackwellisationStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 45Statistical Inference — interpretation of confidence setsStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 46Statistical Inference — unbiased estimation for Poisson functionStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 47Statistical Inference — MLE of the normal meanStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 48Statistical Inference — MLE of the normal varianceStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 49Statistical Inference — Wald bound for upper SPRT boundaryStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 50Statistical Inference — Wald bound for lower SPRT boundaryStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 51Design of Experiments — error degrees of freedom two-way layoutDesign of ExperimentsLinear ModelsEasy
- 52Design of Experiments — critical difference between machine meansDesign of ExperimentsLinear ModelsEasy
- 53Design of Experiments — orthogonal columns of design matrixDesign of ExperimentsLinear ModelsEasy
- 54Design of Experiments — appropriate model for RBDDesign of ExperimentsLinear ModelsMedium
- 55Linear Algebra — idempotent matrices and generalized inversesLinear AlgebraLinear ModelsMedium
- 56Design of Experiments — completing an ANOVA tableDesign of ExperimentsLinear ModelsMedium
- 57Linear Models — consistency of the normal equationsLinear Models & RegressionStatistical Inference and Hypothesis TestingMedium
- 58Linear Models — transformation for generalized least squaresLinear Models & RegressionLinear ModelsMedium
- 59Linear Models — condition for uncorrelated least squares estimatesLinear Models & RegressionStatistical Inference and Hypothesis TestingHard
- 60Linear Models — estimates in alternating sign modelLinear Models & RegressionStatistical Inference and Hypothesis TestingMedium
- 61Linear Models — BLUE of first parameterLinear Models & RegressionLinear ModelsHard
- 62Linear Models — BLUE of second parameterLinear Models & RegressionLinear ModelsHard
- 63Linear Models — BLUE under heteroscedastic errorsLinear Models & RegressionEconometricsHard
- 64Linear Models — variance of the BLUELinear Models & RegressionLinear ModelsMedium
- 65Linear Models — estimable functions in two-way modelLinear Models & RegressionLinear ModelsHard
- 66Official Statistics — official statistics as public goodOfficial StatisticsOfficial StatisticsEasy
- 67Official Statistics — high frequency economic indicatorsOfficial StatisticsOfficial StatisticsEasy
- 68Official Statistics — definition of Census HouseOfficial StatisticsOfficial StatisticsMedium
- 69Official Statistics — coverage of NSS 80th RoundOfficial StatisticsOfficial StatisticsMedium
- 70Official Statistics — provisions of the Census Act 1948Official StatisticsOfficial StatisticsMedium
- 71Official Statistics — financing statistical infrastructureOfficial StatisticsOfficial StatisticsMedium
- 72Official Statistics — items canvassed in Houselisting CensusOfficial StatisticsOfficial StatisticsEasy
- 73Official Statistics — primary purpose of SECC 2011Official StatisticsOfficial StatisticsEasy
- 74Index Numbers — indices satisfying time reversal testIndex Numbers & Time SeriesApplied StatisticsMedium
- 75Official Statistics — UN Fundamental Principles contentOfficial StatisticsOfficial StatisticsMedium
- 76Official Statistics — United Nations Statistical CommissionOfficial StatisticsOfficial StatisticsMedium
- 77Official Statistics — objectives of the PLFSOfficial StatisticsOfficial StatisticsMedium
- 78Index Numbers — index formula for stable consumptionIndex Numbers & Time SeriesApplied StatisticsEasy
- 79Official Statistics — reference point of population enumerationOfficial StatisticsOfficial StatisticsEasy
- 80Official Statistics — periodicity of the Livestock CensusOfficial StatisticsOfficial StatisticsMedium