Statistics Paper II 2024
80 questions, booklet ISS-2024-P2.
Section I · Objective (Q1–Q80) · Q1–80
Practise this section →- 1Statistical Inference — concentration versus mean square errorStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 2Statistical Inference — unbiased estimator variance and MSEStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 3Statistical Inference — correlation between MVU and efficient estimatorStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 4Statistical Inference — CRLB attainment for normal mean and varianceStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 5Statistical Inference — range statistic of a shifted uniform familyStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 6Statistical Inference — Rao-Blackwellisation propertiesStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 7Statistical Inference — role and limitation of Cramer-Rao boundStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 8Statistical Inference — MVUE, MVB estimators and completenessStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 9Statistical Inference — consistent estimators from Bernoulli trialsStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 10Statistical Inference — general properties of maximum likelihood estimatesStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 11Statistical Inference — properties of the MLE for discrete uniform rangeStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 12Statistical Inference — sufficient statistic for normal variance with known meanStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 13Statistical Inference — definition of an estimable parametric functionStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 14Statistical Inference — sample mean attaining the Cramer-Rao boundStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 15Statistical Inference — uniformly most accurate confidence boundsStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 16Statistical Inference — UMVUE of an exponential Poisson functionStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 17Statistical Inference — identifying the UMP test from its critical regionStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 18Statistical Inference — minimum order statistic for a shifted exponentialStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 19Statistical Inference — SPRT no-decision probability for exponential meanStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 20Statistical Inference — completeness of X1 versus X1^2 for normal varianceStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 21Statistical Inference — comparing two tests for a normal mean shiftStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 22Statistical Inference — MLE of a log-scale shifted exponential parameterStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 23Statistical Inference — sufficient statistic for a gamma shape parameterStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 24Statistical Inference — type II error of a Neyman-Pearson discrete testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 25Statistical Inference — terminology of test functions and regionsStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 26Statistical Inference — interpreting p-values and NP testsStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 27Statistical Inference — UMVUE of the normal mean and varianceStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 28Statistical Inference — scope of the Neyman-Pearson lemmaStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 29Statistical Inference — properties of the likelihood ratioStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 30Statistical Inference — sufficiency for the double exponential location familyStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 31Statistical Inference — correlation range for equally efficient estimatorsStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 32Statistical Inference — MLE for the range of a symmetric uniform distributionStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 33Statistical Inference — asymptotic confidence interval for a Poisson meanStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 34Statistical Inference — power of a test for Poisson meanStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 35Statistical Inference — constant-risk Bayes and unique minimax estimatorsStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 36Statistical Inference — joint MLE of trials and success probabilityStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 37Statistical Inference — critical constant of a normal-mean LRTStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 38Statistical Inference — sufficient statistic for a power distribution parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 39Statistical Inference — MLE properties for a squared-exponential scale familyStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 40Statistical Inference — unbiasedness of an indicator-based binomial estimatorStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 41Statistical Inference — critical value of a fixed-size normal mean testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 42Statistical Inference — power of a fixed-size normal mean testStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 43Statistical Inference — type I error of a randomised Poisson testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 44Statistical Inference — type II error of a randomised Poisson testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 45Statistical Inference — unbiasedness of two mean estimatorsStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 46Statistical Inference — consistency of two mean estimatorsStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 47Statistical Inference — method of moments estimator of gamma shapeStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 48Statistical Inference — method of moments estimator of gamma scaleStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 49Distribution Theory — expectation of a power-law densityDistribution TheoryProbabilityEasy
- 50Statistical Inference — method of moments estimator of a power-law parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 51Linear Algebra — symmetric generalized inverse existenceLinear AlgebraLinear ModelsMedium
- 52Linear Algebra — trace of idempotent g-inverse productsLinear AlgebraLinear ModelsMedium
- 53Linear Algebra — consistency conditions using rank and g-inverseLinear AlgebraStatistical Inference and Hypothesis TestingMedium
- 54Linear Algebra — rank and trace identities for a given matrixLinear AlgebraLinear ModelsHard
- 55Linear Algebra — properties of the idempotent matrix from a g-inverseLinear AlgebraLinear ModelsMedium
- 56Linear Algebra — verifying g-inverse properties for given matricesLinear AlgebraLinear ModelsHard
- 57Design of Experiments — purpose and historical origin of ANOVADesign of ExperimentsLinear ModelsEasy
- 58Design of Experiments — invariance of sums of squares and variance ratioDesign of ExperimentsLinear ModelsMedium
- 59Design of Experiments — correct error term in a two-way random effects ANOVADesign of ExperimentsLinear ModelsHard
- 60Design of Experiments — assumptions underlying the ANOVA F-testDesign of ExperimentsLinear ModelsMedium
- 61Official Statistics — functions of the Registrar General of IndiaOfficial StatisticsOfficial StatisticsMedium
- 62Official Statistics — resources classified as natural capitalOfficial StatisticsOfficial StatisticsMedium
- 63Official Statistics — Economic Census that first covered handicraft establishmentsOfficial StatisticsOfficial StatisticsHard
- 64Official Statistics — ex-officio Secretary of the National Statistical CommissionOfficial StatisticsOfficial StatisticsMedium
- 65Official Statistics — sectors comprising the primary sector in GDPOfficial StatisticsOfficial StatisticsMedium
- 66Sampling Theory — defining feature of a longitudinal panel surveySampling TheorySampling TechniquesEasy
- 67Official Statistics — principles governing official statistics compilationOfficial StatisticsOfficial StatisticsMedium
- 68Official Statistics — scope of data collection under the Collection of Statistics Act, 2008Official StatisticsOfficial StatisticsMedium
- 69Index Numbers & Time Series — features of the CPI-Industrial WorkersIndex Numbers & Time SeriesApplied StatisticsMedium
- 70Official Statistics — which listed censuses are conducted by the Government of IndiaOfficial StatisticsOfficial StatisticsMedium
- 71Official Statistics — constitution and structure of the National Statistical CommissionOfficial StatisticsOfficial StatisticsMedium
- 72Official Statistics — legal instruments supporting official statistics in IndiaOfficial StatisticsOfficial StatisticsMedium
- 73Official Statistics — the conceptual basis distinguishing GDP from GNIOfficial StatisticsOfficial StatisticsMedium
- 74Official Statistics — domestic product measures computed under national income methodologyOfficial StatisticsOfficial StatisticsMedium
- 75Official Statistics — accepted methods of official data collectionOfficial StatisticsOfficial StatisticsEasy
- 76Index Numbers & Time Series — factors considered in price index constructionIndex Numbers & Time SeriesApplied StatisticsMedium
- 77Index Numbers & Time Series — correct definition of what index numbers measureIndex Numbers & Time SeriesApplied StatisticsEasy
- 78Index Numbers & Time Series — major data source underlying the Index of Industrial ProductionIndex Numbers & Time SeriesOfficial StatisticsMedium
- 79Official Statistics — interpreting GER capacity and Gender Parity Index trendOfficial StatisticsOfficial StatisticsMedium
- 80Index Numbers & Time Series — deriving real wage from money wage and CPIIndex Numbers & Time SeriesApplied StatisticsEasy