Week 8 Hypothesis Testing Flashcards Preview

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Flashcards in Week 8 Hypothesis Testing Deck (10)
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1
Q

what 3 things are needed to conduct a hypothesis test

A

the assertion that some hypothesis is true
a numerical test that can be applied to the data
a hypothesis test that can be accepted or rejected depending on the outcome of the test

2
Q

what is a simple hypothesis

A

hypothesis that defines the probability distribution completely

3
Q

what is a composite hypothesis

A

hypothesis that combines several probability distribution functions

4
Q

what is a type I error

A

hypothesis is true but the decision is to reject it

5
Q

what is a type II error

A

hypothesis is false but the decision is to accept it

6
Q

define significance

A

the rate at which type I errors occur

7
Q

what is the significance equation

A

α >= ∫Ph(x) dx

Ph(x) is the probability distribution function of the hypothesis

8
Q

what can be said about the significance for composite and discrete distributions

A

we use the probability distribution of the function that maximises significance

9
Q

what is the power of a test equation

A

1 - β = ∫ Pa(x) dx

Pa(x) is the probability distribution of the alternative hypothesis

10
Q

what is the general guiding principle for significance and power

A

we want to minimise the significance and maximise the power