Statistics MCQs

Page No. 35

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


aMSE(θˆ)=SD(θˆ)+Bias

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bMSE(θˆ)=Var(θˆ)+Bias2

✓


cMSE(θˆ)=SD(θˆ)+Bias2

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dMSE(θˆ)=Var(θˆ)+Bias

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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

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cNeyman Pearson Lemma

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dWald’s Equation

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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

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cEfficient

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dMinimax statistics

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


aSufficient

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bEfficient

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cUnbiased

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dConsistent

✓


View Answer Consistent

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


aConsistent

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bSufficient

✓


cEfficient

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dUnbiased

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View Answer Sufficient

Which of the following test use Rank Sums____________?


aKruskal-Wallis and Wilcoxon tests

✓


bRuns test

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cChi-Square and sign test

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dF test

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Wilcoxon Rank-Sum test can be of_______________?


aLower tailed

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bUpper tailed

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cEither of the above

✓


dNone of the above

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View Answer Either of the above

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


aWe count them

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bWe discard them

✓


cWe depends upon the scores

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dnon of these

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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

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cTies never affect the decision

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dTies between the two sample may affect the decision

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The Spearman Rank-Correlation test requires that the______________?


a Data must be measured on the same scale

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bData should be of ordinal scale at least

✓


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

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dData must be from two independent samples

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