Statistics Paper II 2020
80 questions, booklet DFSE-D-STT.
Section I · Objective (Q1–Q80) · Q1–80
Practise this section →- 1Statistical Inference — verifying a most powerful test via likelihood ratiosStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 2Statistical Inference — size and bias of a uniform critical regionStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 3Statistical Inference — checking a randomized most powerful testStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 4Statistical Inference — a true general property of the likelihood ratio testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 5Statistical Inference — the classical desirable properties of an estimatorStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 6Statistical Inference — mean versus median as estimators for the Cauchy medianStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 7Statistical Inference — unbiased estimator of e to the minus (k+1) lambdaStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 8Statistical Inference — the correct formula for Fisher informationStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 9Statistical Inference — sufficient statistic for a power-law shape parameterStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 10Statistical Inference — Bayes estimator under absolute error lossStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 11Statistical Inference — consistent estimator of theta over e for a uniform sampleStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 12Statistical Inference — SPRT boundary constants for a normal mean testStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 13Statistical Inference — large-sample CI for an exponential rate parameterStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 14Statistical Inference — sufficient statistic combining two normal samples of unequal precisionStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 15Statistical Inference — the formal definition of a consistent estimatorStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 16Statistical Inference — MLE of theta for U(0,5 theta)Statistical InferenceStatistical Inference and Hypothesis TestingMedium
- 17Statistical Inference — MLE of the Poisson meanStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 18Statistical Inference — UMVUE of mu-squared for N(mu,1)Statistical InferenceStatistical Inference and Hypothesis TestingMedium
- 19Statistical Inference — Cramer-Rao bound for an unbiased estimator of psi(theta)Statistical InferenceStatistical Inference and Hypothesis TestingEasy
- 20Statistical Inference — which inequality the Bhattacharyya bound generalizesStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 21Statistical Inference — asymptotic efficiency of the median relative to the meanStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 22Statistical Inference — MVUE of sigma-squared when mu is knownStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 23Statistical Inference — MLE reducing to the sample geometric meanStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 24Statistical Inference — range of valid MLEs for a fixed-width uniform locationStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 25Statistical Inference — covariance of an efficient estimator with a residualStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 26Statistical Inference — lower bound for the variance of the sample variance under PoissonStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 27Statistical Inference — Fisher information carried by a linear combination of iid normalsStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 28Statistical Inference — sufficiency for the lower-bound parameter of a shifted exponentialStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 29Statistical Inference — recognizing the complete statistic for a normal meanStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 30Statistical Inference — equivalence of equal-variance testing and an independence checkStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 31Statistical Inference — second-order Bhattacharyya bound for theta-squaredStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 32Statistical Inference — MLE of P from repeated binomial trialsStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 33Statistical Inference — UMVUE of theta to the r for a power-function densityStatistical InferenceStatistical Inference and Hypothesis TestingHard
- 34Statistical Inference — 98% CI for a percentage of defectivesStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 35Statistical Inference — which statements correctly bear on compositenessStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 36Statistical Inference — checking claims about a fixed-width uniform location modelStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 37Statistical Inference — which combinations of statistics are unbiased for the U(0,theta) rangeStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 38Statistical Inference — efficiency of 2X-bar relative to a max-based estimatorStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 39Statistical Inference — comparing MSE of a constant guess to variance of the usual estimatorStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 40Statistical Inference — method-of-moments estimator for a decreasing triangular densityStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 41Design of Experiments — correct null hypothesis for the fish-weight ANOVADesign of ExperimentsStatistical Inference and Hypothesis TestingEasy
- 42Design of Experiments — correct interpretation of rejecting the ANOVA nullDesign of ExperimentsLinear ModelsMedium
- 43Design of Experiments — computing the F statistic from the fish-lake ANOVADesign of ExperimentsLinear ModelsMedium
- 44Design of Experiments — pooled standard deviation from the fish-lake ANOVADesign of ExperimentsLinear ModelsMedium
- 45Design of Experiments — degrees of freedom for a 3x3 teaching-methods designDesign of ExperimentsLinear ModelsMedium
- 46Design of Experiments — mean squares for the teaching-methods ANOVADesign of ExperimentsLinear ModelsMedium
- 47Design of Experiments — F ratios for the teaching-methods ANOVADesign of ExperimentsLinear ModelsMedium
- 48Linear Models & Regression — weighted least-squares estimate of a common meanLinear Models & RegressionStatistical Inference and Hypothesis TestingMedium
- 49Design of Experiments — zero error df in a saturated two-way modelDesign of ExperimentsLinear ModelsMedium
- 50Linear Models & Regression — residual projection of the design matrix itselfLinear Models & RegressionLinear ModelsEasy
- 51Official Statistics — who compiles CPI for Agriculture and Rural LabourOfficial StatisticsOfficial StatisticsEasy
- 52Official Statistics — who compiles vital statistics in IndiaOfficial StatisticsOfficial StatisticsEasy
- 53Demography / Vital Statistics — definition of the General Fertility RateDemography / Vital StatisticsDemography and Vital StatisticsEasy
- 54Official Statistics — standard sampling design for NSSO household surveysOfficial StatisticsOfficial StatisticsEasy
- 55Official Statistics — earmarked subject of NSS 78th roundOfficial StatisticsOfficial StatisticsMedium
- 56Official Statistics — typical survey year used by NSSO household surveysOfficial StatisticsOfficial StatisticsEasy
- 57Official Statistics — definition of Gross Value Added by an enterpriseOfficial StatisticsOfficial StatisticsEasy
- 58Official Statistics — the concept underlying 'domestic economy'Official StatisticsOfficial StatisticsEasy
- 59Official Statistics — what SASA stands forOfficial StatisticsOfficial StatisticsMedium
- 60Official Statistics — basic statistical unit of the Agriculture CensusOfficial StatisticsOfficial StatisticsEasy
- 61Statistical Inference — effect of doubling variance on a CI's widthStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 62Statistical Inference — recovering the sample mean from a symmetric CIStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 63Statistical Inference — the name of the sufficiency factorization criterionStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 64Statistical Inference — the correct factorization form for sufficiencyStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 65Statistical Inference — what the expected loss function is calledStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 66Statistical Inference — type-II error for a one-observation exponential testStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 67Statistical Inference — shortest CI for a normal mean with unknown varianceStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 68Statistical Inference — condition defining an unbiased testStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 69Statistical Inference — degrees of freedom for a paired t-testStatistical InferenceStatistical Inference and Hypothesis TestingEasy
- 70Statistical Inference — spotting the one fully-specified (simple) hypothesisStatistical InferenceStatistical Inference and Hypothesis TestingMedium
- 71Official Statistics — spotting the fabricated Sustainable Development GoalOfficial StatisticsOfficial StatisticsEasy
- 72Official Statistics — which NSSO survey uses a rotational panel designOfficial StatisticsOfficial StatisticsMedium
- 73Official Statistics — least relevant stratifier for a women-and-child surveyOfficial StatisticsOfficial StatisticsMedium
- 74Official Statistics — eligible functionaries for census enumerationOfficial StatisticsOfficial StatisticsMedium
- 75Official Statistics — outputs genuinely derivable from the population censusOfficial StatisticsOfficial StatisticsEasy
- 76Official Statistics — NSSO division responsible for fieldworkOfficial StatisticsOfficial StatisticsEasy
- 77Official Statistics — the three equivalent ways of computing GDPOfficial StatisticsOfficial StatisticsEasy
- 78Official Statistics — the genuine components of PQLIOfficial StatisticsOfficial StatisticsMedium
- 79Index Numbers & Time Series — definition of point-to-point (year-on-year) inflationIndex Numbers & Time SeriesApplied StatisticsEasy
- 80Official Statistics — who designed the Fundamental Principles of Official StatisticsOfficial StatisticsOfficial StatisticsEasy