Which of the Following Statements Are Needed in Constructing the Likelihood

question 82

Multiple Choice

Which of the following statements are needed in constructing the likelihood ratio test?

• A) Finding the largest value of the likelihood for any \(\theta \text { in } \Omega _ { 0 }\)
• (by finding the maximum
• Likelihood estimate within \(\Omega _ { 0 }\)
• And substituting back into the likelihood function).
• B) Find the largest value of the likelihood for any \(\theta \text { in } \Omega _ { \mathrm { 0 } }\)
• C) Forming the ratio \(\lambda \left( x _ { 1 } , \ldots , \ldots , x _ { n } \right)\)
• = maximum likelihood for \(\theta \text { in } \Omega _ { 0 } /\)
• Maximum likelihood for \(\theta \text { in } \Omega _ { \mathrm { 0 } }\)
• D) All of the above statements are needed.
• E) Only statements A and B are needed.

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Definitions:

Reciprocity

The practice of exchanging things with others for mutual benefit, especially in social and emotional contexts.

Arousal Theory

A theory in psychology that proposes individuals are motivated to maintain an optimal level of arousal.

Optimal Level

The most favorable or desirable degree of efficiency, concentration, or condition for a particular process or function.

Stimulation

The action of arousing interest, excitement, or activity in someone or something, or the condition of being stimulated.