Hypotheses Testing (ISS (Statistical Services) Statistics Paper II (Old Subjective Pattern)): Questions 7 - 9 of 9

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Question number: 7

» Hypotheses Testing » Most Powerful Test

Appeared in Year: 2014

Essay Question▾

Describe in Detail

Let X be r. v. with pmf under H 0 and H 1 given below. Find M. P. test with α=0.03

Possible X Values given in table

Finding a values of f 0 (x) and f 1 (x) to given a table.

x

1

2

3

4

5

6

f 0 (x)

0.01

0.01

0.01

0.01

0.01

0.95

f 1 (x)

0.05

0.04

0.03

0.02

0.01

0.85

Explanation

… (95 more words) …

Question number: 8

» 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

… (134 more words) …

Question number: 9

» Hypotheses Testing » Uniformly Most Powerful Test

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Fins a Most powerful test for testing the simple hypothesis against the simple alternative hypothesis based on n random observations from N (µ, σ 2) where µ is know. Show that this MP test is UMP (Uniformly most powerful).

Explanation

… (94 more words) …

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