Statistics MCQs

734 MCQs (Page 50 of 74)

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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 ?

A. Independence equation
B. Sequential probability likelihood equation
C. Neyman pearson lemma
D. Wald’s equation

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

A. Mse(θˆ)=sd(θˆ)+bias
B. Mse(θˆ)=var(θˆ)+bias2
C. Mse(θˆ)=sd(θˆ)+bias2
D. Mse(θˆ)=var(θˆ)+bias

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A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?

A. It is a function of some other set of sufficient statistics.
B. It is a function of every other set of sufficient
C. It is a function of any sufficient statistics in the set.
D. It is not a function of every other set of sufficient statistics.

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If the conditional distribution of X1,X2,…..Xn given S=s, does not depends on θ, for any value of S=s the statistics S=s(X1,X2,…..Xn) is called______________?

A. Unbiased
B. Sufficient
C. Consistent
D. Efficient

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

A. Consistent
B. Sufficient
C. Efficient
D. Unbiased

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

A. Sufficient
B. Efficient
C. Unbiased
D. Consistent

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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
B. Sufficient statistic
C. Efficient
D. Minimax statistics

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

A. We count them
B. We discard them
C. We depends upon the scores
D. Non of these

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Wilcoxon Rank-Sum test can be of_______________?

A. Lower tailed
B. Upper tailed
C. Either of the above
D. None of the above

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Which of the following test use Rank Sums____________?

A. Kruskal-wallis and wilcoxon tests
B. Runs test
C. Chi-square and sign test
D. F test

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