Hypotheses Testing-Unbiased Test (ISS (Statistical Services) Statistics Paper II (Old Subjective Pattern)): Questions 1 - 1 of 1

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Question number: 1

» Hypotheses Testing » Unbiased Test

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Explain the notion of unbiasedness with regards to a test of a hypothesis. Examine the validity of the statement. A most powerful test is invariably unbiased.

Explanation

A test T of the null hypothesis Equation is said to be an unbiased test if the probability of rejection H 0 when it is false is at least as much as the probability of rejecting H 0 when it is true.

Equation

where Equation . The power of a

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