confidence intervals Flashcards

1
Q

what do confidence intervals define

A

a plausible range of values for the population parameter

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2
Q

what is needed to estimate confidence intervals

A

confidence level and a measure of sampling variability (SE/bootstrap SE)

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3
Q

how are confidence intervals interpreted

A

across repeated sample, x% confidence intervals would be expected to contain the true population parameter

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4
Q

what are we confident in?

A

that our upper and lower intervals will contain the true mean of the population

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5
Q

most common confidence intervals

A

68%
95%
99.7%

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6
Q

68% confidence intervals

A

fall within 1 standard deviaiton of the mean

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7
Q

95% confidence intervals

A

falls within 1.96 standard deviation of the mean

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8
Q

99.7% confidence intervals

A

falls within 3 standard deviation of the mean

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9
Q

how to calculate the bounds of a 95% confidence interval

A

lower bound = mean - 1.96 * standard error
upper bound = mean + 1.96 * standard error

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