Statistical Inference and Hypothesis Testing-Moments and Least Squares (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 1 - 5 of 13

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Question number: 1

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

The credit of inventing the method of moments for estimating the parameters goes to

Choices

Choice (4) Response

a.

Cramer-Rao

b.

Karl Pearson

c.

R. A. Fisher

d.

Neyman

Question number: 2

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

For a simple linear model Y=β0+β1X+ϵ , the estimated values of β0 and β1 by the method of least square will be

Choices

Choice (4) Response

a.

β^0=y¯bx¯ and β^1=xiyi(xi)(yi)nxi2(xi)2n

b.

β^0=y¯ and β^1=x¯

c.

β^0=y¯+bx¯ and β^1=xiyi+(xi)(yi)nxi2+(xi)2n

d.

β^0=y¯bx¯ and β^1=xiyixi2

Question number: 3

» 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: 4

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

In general, the estimates obtained by the method of moments are ________

Choices

Choice (4) Response

a.

Asymptotically normal and always efficient

b.

Not asymptotically normal but efficient

c.

Asymptotically normal but not efficient

d.

None of the above

Question number: 5

» Statistical Inference and Hypothesis Testing » Moments and Least Squares

MCQ▾

Question

Generally the estimators obtained by the method of moments as compared to Maximum Likelihood estimators are:

Choices

Choice (4) Response

a.

Less Efficient

b.

More Efficient

c.

Equally Efficient

d.

Question does not provide sufficient data or is vague

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