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MSTAT:020117Mathematical problem title

Mstat2 Poisson Ump Mlr Karlin RubinMstat2 Poisson Composite Boundary Size Power

Neyman-Pearson testing and powerMathematical Statistics II · Mixed review

MSTAT:020118Holm step-down alpha=.05, sorted p=(.004,.018,.020,.20); thresholds=(.0125,.0166667,.025,.05); reject H1 only and STOP; adj p=(.016,.054,.054,.20)

Mstat2 Holm Stepdown Rejection PathMstat2 Holm Adjusted P Fwer Union

Neyman-Pearson testing and powerMathematical Statistics II · Mixed review

MSTAT:020219Mathematical problem title

Mstat2 Exponential Clt Studentized MeanMstat2 Wald Interval Studentized Mean

Consistency, asymptotic normality, and delta methodsMathematical Statistics II · Mixed review

MSTAT:020220Laplace(0,b=2), f(0)=1/4: sqrt(n) median->N(0,4); n=100 SE=.2, med=.30 => z=1.5; 95% CI(-.092,.692); mean AV=8/n, median AV=4/n, ARE=2

Mstat2 Laplace Median Asymptotic NormalityMstat2 Median Mean Are Laplace

Consistency, asymptotic normality, and delta methodsMathematical Statistics II · Mixed review

MSTAT:020221Mathematical problem title

Mstat2 Hodges Superefficiency PointwiseMstat2 Hodges Nonuniform Local Sequence

Consistency, asymptotic normality, and delta methodsMathematical Statistics II · Mixed review

MSTAT:020322Beta-binomial BF10: n=10,x=8,H0 p=1/2,H1 p~Beta(1,1); m0=45/1024,m1=1/11,BF10=1024/495,P(H1|x)=1024/1519; post Beta(9,3) mean 3/4

Mstat2 Beta Binomial Marginal LikelihoodMstat2 Bayes Factor Equal Odds Posterior

Bayesian inference and decision rulesMathematical Statistics II · Mixed review

MSTAT:020323Normal-normal: theta~N(10,4), Xi~N(theta,9), n=4, xbar=14; post prec 25/36, mean 314/25, 95% (10.208,14.912); pred N(314/25,261/25)

Mstat2 Normal Normal Precision UpdateMstat2 Posterior Versus Posterior Predictive

Bayesian inference and decision rulesMathematical Statistics II · Mixed review

MSTAT:020424Mathematical problem title

Mstat2 Weighted Least Squares Normal EquationsMstat2 Wls Gls Covariance Convention

Linear models and projection geometryMathematical Statistics II · Mixed review

MSTAT:020425OVB: centered y=beta1 x+beta2 z+u, E[u|x,z]=0; plim=beta1+beta2 Cov(x,z)/Var x; (2,3,Varx=4,Cov=2)=>7/2; z=.5x+v same; zero iff beta2 or Cov vanishes

Mstat2 Omitted Variable Probability LimitMstat2 Ovb Vanishing And Sign

Linear models and projection geometryMathematical Statistics II · Mixed review

MSTAT:020426Mathematical problem title

Mstat2 Ridge Spectral Shrinkage FactorsMstat2 Ridge Effective DF And Bias

Linear models and projection geometryMathematical Statistics II · Mixed review

MSTAT:020527Exact sign test n=10, B=8: Bin(10,1/2), one-sided p=56/1024=7/128=.0546875; doubled two-sided 7/64=.109375; no reject at 5%; ties dropped

Mstat2 Exact Sign Test Binomial TailMstat2 Sign Test Two Sided Ties Convention

Rank and distribution-free methodsMathematical Statistics II · Mixed review

MSTAT:020528Mathematical problem title

Mstat2 Spearman Rho From Rank DifferencesMstat2 Spearman Exact Permutation Tail

Rank and distribution-free methodsMathematical Statistics II · Mixed review

MSTAT:020629Mathematical problem title

Mstat2 Jackknife Bias Squared MeanMstat2 Jackknife Pseudovalues Variance

Bootstrap, permutation, and simulation-based inferenceMathematical Statistics II · Mixed review

MSTAT:020630Parametric bootstrap Exp rate n=4,sum=10: MLE=2/5; S~Gamma(4,rate 2/5); E[4/S]=8/15, bias=2/15, corrected=4/15, Var=32/225

Mstat2 Parametric Bootstrap Exponential MleMstat2 Parametric Bootstrap Bias Variance

Bootstrap, permutation, and simulation-based inferenceMathematical Statistics II · Mixed review

MSTAT:020631Mathematical problem title

Mstat2 Antithetic Variate IdentityMstat2 Antithetic Variance Reduction Covariance Sign

Bootstrap, permutation, and simulation-based inferenceMathematical Statistics II · Mixed review

MSTAT:9930001Mathematical problem title

Hypothesis TestingTest FunctionComposite NullSize Versus PowerMathematical Statistics 2 Problem Solving