# ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 115 - 118 of 246

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## Question number: 115

MCQ▾

### Question

Let be a random sample from a density function . A statistics

is said to be sufficient statistics if the conditional distribution of given T

### Choices

Choice (4) Response

a.

Independent of S

b.

Dependent of

c.

Dependent of

d.

Independent of

## Question number: 116

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: 117

MCQ▾

### Question

If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is ………. of for any value of

### Choices

Choice (4) Response

a.

Dependent

b.

Either dependent or Independent

c.

Independent

d.

All of the above

## Question number: 118

MCQ▾

### Question

is sufficient for if and only if the joint density function, of the sample values can be expressed in the form

where depends on and only through the value of and is independent of . This Theorem is known as

### Choices

Choice (4) Response

a.

Blackwell Theorem

b.

Rao-Blackwell Theorem

c.

Factorization Theorem

d.

Cramer-Rao Theorem

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