ALPHA BETA POWER (ch 9) Flashcards

1
Q

Pregnancy test. What is NULL and ALTERNATIVE?

A

Ho: NOT PREGNANT Ha: PREGNANT

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2
Q

example of TYPE I with a pregnancy test:

A

test says “pregnant” but subject is not pregnant

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3
Q

example of type 2 error with pregnancy test:

A

test says “not pregnant” but subject is pregnant

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4
Q

example of power with a pregnancy test

A

the percent of pregnant women that get a “pregnant” test result. The probability of it correctly detecting what it was designed for.

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5
Q

A school system is testing the effectiveness of after school MCAS math program. What is the NULL and ALTERNATIVE?

A

Ho: program doesn’t work Ha: program works

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6
Q

example of type 1 error for a school system trying a new after school math MCAS program (and implications)

A

You think the program worked when it actually didn’t. District spends money on a useless program.

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7
Q

example of type 2 error for a school system trying a new after school math MCAS program (and implications)

A

You don’t think it works when it actually does. You miss an opportunity to adopt a program.

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8
Q

example of POWER for a school system trying a new after school math MCAS program

A

The likelihood you detect that a good program works.

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9
Q

A school system is testing the effectiveness of after school MCAS math program. If the program works, what is the only type of error you could make?

A

Type 2. You didn’t notice the effect. You failed to reject.

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10
Q

A school system is testing the effectiveness of after school MCAS math program. If the program does not work, what is the only type of error you could make?

A

Type 1. You thought it worked but it didn’t. You rejected when you shouldn’t have.

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11
Q

A school system is testing the effectiveness of after school MCAS math program. If you conclude that the program works, what is the only type of error you could make?

A

Type 1. You thought it worked but it didn’t. You rejected when you shouldn’t have.

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12
Q

A school system is testing the effectiveness of after school MCAS math program. If you conclude that the program doesn’t work, what is the only type of error you could make?

A

Type 2. You didn’t notice the effect. You didn’t think that it worked, but it did. You failed to reject.

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13
Q

What is Type 1 error?

A

We reject when we shouldn’t have (the null was actually true)

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14
Q

What is probability of type 1 error?

A

alpha

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15
Q

What is probability of type 2 error?

A

Beta

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16
Q

What is power?

A

The probability that you correctly rejected a false null

17
Q

What is Type 2 error?

A

We fail to reject when we should have rejected (the null was actually false)

18
Q

If you reject, what is the only type of error you could make?

A

Type 1 (Nystrom is a Type 1 reject)

19
Q

Can you decrease alpha while increasing power (even though they move together?)..

A

Yes.. INCREASE SAMPLE SIZE. If you increase the sample size, you can decrease alpha and increase the power.

20
Q

If the null is false, what is the only error you could make?

A

Type 2

21
Q

If the null is true, what is the only error you could make?

A

Type 1

22
Q

How are power and alpha related?

A

they go up and down together

23
Q

How else can you explain power?

A

Power to correctly detect what you were trying to detect

24
Q

How can you increase power?

A

Increase alpha or increase sample size..

25
Q

Can you draw the alpha/beta/power diagram?

A

Think of the pregnancy worksheet.

26
Q

How can you decrease alpha and beta at the same time?

A

increase sample size. this will also increase power.

27
Q

What is beta?

A

It is probability that you’ll make a Type II error.. P(Type II error)

28
Q

How can you think of TYPE 2 error?

A

the missed opportunity error.. You failed to see an effect

29
Q

how are beta and power related

A

as one increases, the other decreases, and vice versa. They have to because they BOTH ADD TO ONE!!! Power + Beta = 1

30
Q

What is alpha?

A

It is the rejection threshold. You reject p-values below it.. It is how willing you are to make a Type 1 error? alpa=P(Type I error)

31
Q

What is effect size?

A

Difference between null and true parameter. something we don’t know

32
Q

how are alpha and beta related?

A

as one increases, the other decreases, and vice versa

33
Q

If you fail to reject, what is the only type of error you could make?

A

Type 2