Final - Theory Flashcards

1
Q

Unbiased : E(θ) = ?

A

0

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2
Q

Biased : E(θ) = ?

A

Not 0

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3
Q

What is the variance of a precise measurement?

A

Small variance

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4
Q

What is the variance of an unprecise measurement?

A

High variance

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5
Q

How does an increase in n affect the confidence interval?

A

Decreases

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6
Q

How does a decrease in variance affect the confidence interval?

A

Increases

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7
Q

Define the null hypothesis.

A

Absence of difference or a treatment effect

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8
Q

What is alpha?

A

The chance of an error that you are willing to accept

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9
Q

What is a type I error?

A

Rejecting a true null hypothesis

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10
Q

What is the power of the test?

A

The probability to reject a false null hypothesis

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11
Q

What is a type II error?

A

Accepting a false hypothesis

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12
Q

What are the outcomes in terms of the power of the test and the type II error if there is a small difference between u and u0?

A
  • High type II error

- Low power of the test

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13
Q

What are the outcomes in terms of the power of the test and the type II error if there is a large difference between u and u0?

A
  • Low type II error

- High power of the test

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14
Q

What are the outcomes in terms of the power of the test if alpha is low?

A

Low power of the test

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15
Q

What are the outcomes in terms of the power of the test if alpha is high?

A

High power of the test

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16
Q

What are the outcomes in terms of the power of the test if alpha is the sample size is low and the variance is high?

A

Low power of the test

17
Q

What are the outcomes in terms of the power of the test if alpha is the sample size is high and the variance is low?

A

High power of the test

18
Q

What three factors allow for a higher power of the test?

A
  • Larger difference between u1 and u0
  • Larger sample size n
  • Higher significance level a