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AP Statistics Unit 8
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Statistics
Categorical Data
AP Statistics
11th
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11 Terms
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1
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point estimator
a statistic that provides an estimate of a population parameter
2
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confidence interval
an interval of plausible values for a parameter based on sample data (most common is 95%)
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confidence level C
the overall success rate of method used to calculate confidence interval - āwe are C% confident that interval _ captures % of parameter.ā
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margin of error
how far (at most) estimate is expected to vary from point estimator in C% confidence interval
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decreasing margin of errorā¦
confidence level decreases; sample size increases
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critical value
a multiplier that makes interval wide enough to have the stated capture rate
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3 conditions for validity of confidence interval pā¦
1. random sample
2. large counts: np^ ā„ 100 & n(1-p^) ā„ 100
1. 10%: n < 0.10N
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standard error
estimate of the standard deviation of a statistic via data
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confidence interval
point estimate Ā± margin of error OR statistic Ā± critical standard error
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confidence interval for p1-p2
statistic Ā± (critical value)(standard deviation of statistic)
11
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randomized comparative experiment
subjects are randomly assigned to different treatment groups, response variable is tested.
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