Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 92 - 95 of 222

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Question number: 92

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

Method of least squares consists of

Choices

Choice (4) Response
a.

Minimizing the sum of squares of residuals

b.

Maximizing the sum of squares of residuals

c. All of the above
d. None of the above

Question number: 93

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

If a statistics T=t(X1,X2,.,Xn) is a sufficient statistics for a parameter θ of the density function (x;θ) , then the conditional distribution of X1,X2,.,Xn is ………. of θ for any value of T=t

Choices

Choice (4) Response
a.

Dependent

b.

Either dependent or Independent

c.

Independent

d. All of the above

Question number: 94

» Statistical Inference and Hypothesis Testing » Factorization Theorem

MCQ▾

Question

T=t(x1,x2,..,xn) is sufficient for θ if and only if the joint density function f(x1,x2,..,xn;θ) , of the sample values can be expressed in the form

f(x1,x2,..,xn;θ)=gθ[t(x)].h(x) where gθ[t(x)] depends on θ and x only through the value of t(x), and h(x) is independent of θ . This Theorem is known as

Choices

Choice (4) Response
a.

Blackwell Theorem

b.

Rao-Blackwell Theorem

c.

Factorization Theorem

d.

Cramer-Rao Theorem

Question number: 95

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

Efficiency of sample mean as compared to median as an estimate of the mean of a normal population is

Choices

Choice (4) Response
a.

64 percent

b.

157 percent

c.

360 percent

d.

22 percent

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