Statistics MCQs

Page No. 35

For a biased estimator θˆ of θ, which one is correct_______________?


aMSE(θˆ)=SD(θˆ)+Bias


bMSE(θˆ)=Var(θˆ)+Bias2


cMSE(θˆ)=SD(θˆ)+Bias2


dMSE(θˆ)=Var(θˆ)+Bias



Let Z1,Z2,….Zn be independent and identically distributedrandom variable, satisfying E[ι Zt ι]<∞. Let N be an integer valued random variable whose value n depends only on the values of the first n Z¡'s. Suppose E(N)< ∞, then E(Z1,Z2,….Zn)=E(N)E(Z) is called ?


aIndependence Equation


bSequential Probability Likelihood Equation


cNeyman Pearson Lemma


dWald’s Equation


View Answer Independence Equation

Let X1,X2,…Xn be a random sample from the density f(x;(θ), where θ may be vector. If the conditional distribution of X1,X2,…Xn given S=s does not depend on θ for any value of s of S, then statistic is called?


a Minimal sufficient statistic


bSufficient statistic


cEfficient


dMinimax statistics



if Var(θˆ)→0 as n → 0, then θˆ is said to be______________?


aSufficient


bEfficient


cUnbiased


dConsistent


View Answer Consistent

if f(x1,x2,…xn;θ)=g(θˆ;θ)h(x1,x2,….,xn), then θˆ is____________?


aConsistent


bSufficient


cEfficient


dUnbiased


View Answer Sufficient

Which of the following test use Rank Sums____________?


aKruskal-Wallis and Wilcoxon tests


bRuns test


cChi-Square and sign test


dF test



Wilcoxon Rank-Sum test can be of_______________?


aLower tailed


bUpper tailed


cEither of the above


dNone of the above


View Answer Either of the above

When using the sign test, if two scores are tied, then_____________?


aWe count them


bWe discard them


cWe depends upon the scores


dnon of these


View Answer We discard them

In a Wilcoxon Rank-Sum test__________________?


a Ties within one sample may affect the decision


bTies always affect the decision


cTies never affect the decision


dTies between the two sample may affect the decision



The Spearman Rank-Correlation test requires that the______________?


a Data must be measured on the same scale


bData should be of ordinal scale at least


cData must be distribution at least approximately as a t-distribution


dData must be from two independent samples



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