Logic of NHST using Pearson's r Flashcards

1
Q

You obtain data on two variables (X & Y) for a sample of 6 people and calculate a Pearson’s r statistic from this data. Under the assumption that these variables are uncorrelated, the probability of obtaining a value of Pearson’s r of 0.82 or higher is:

a. less than 0.5%

b. between 0.5% and 1.0%

c. between 1.0% and 2.5%

d. between 2.5% and 5.0%

A

c. between 1.0% and 2.5%

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2
Q

You obtain data on two variables (X & Y) for a sample of 7 people and calculate a Pearson’s r statistic from this data. Under the assumption that these variables are uncorrelated, the probability of obtaining a value of Pearson’s r of -0.68 or less is:

a. less than 0.5%

b. between 0.5% and 1.0%

c. between 1.0% and 2.5%

d. between 2.5% and 5.0%

A

d. between 2.5% and 5.0%

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3
Q

You obtain data on two variables (X & Y) for a sample of 25 people and calculate a Pearson’s r statistic from this data. Under the assumption that these variables are uncorrelated, the probability of obtaining a value of Pearson’s r as extreme or more extreme than 0.48 (i.e. > 0.48 or < -0.48) is:

a. less than 1.0%

b. between 1.0% and 2.0%

c. between 2.0% and 5.0%

d. between 5% and 10%

A

b. between 1.0% and 2.0%

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4
Q

There is a positive correlation between variables X & Y

Is this a 1 or 2 tailed hypothesis?

A

1 tailed

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5
Q

There is a negative correlation between variables X & Y

Is this a 1 or 2 tailed hypothesis?

A

1 tailed

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6
Q

There is a correlation between variables X & Y

Is this a 1 or 2 tailed hypothesis?

A

2 tailed

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7
Q

What does it mean when p > 0.05 and we fail to reject the null in terms of Pearson’s r?

A

The r value is not sufficiently inconsistent with what I would expect randomly sampling from uncorrelated variables

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8
Q

What does it mean when p < 0.05 and we reject the null in terms of Pearson’s r?

A

It’s too unlikely that I would have got this value of r if sampling at random from uncorrelated variables

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