Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 91  94 of 222
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Question number: 91
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
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: 92
» Statistical Inference and Hypothesis Testing » Moments and Least Squares
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
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: 94
» Statistical Inference and Hypothesis Testing » Factorization Theorem
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.  RaoBlackwell Theorem 

c.  Factorization Theorem 

d.  CramerRao Theorem 
