Term
A sampling method is independent when |
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Definition
The individuals selected for one sample do not dictate which individuals are to be in a second sample |
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A sampling method is dependent when |
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The individuals selected for one sample are used to determine the individuals in the second sample |
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3 assumptions for testing hypotheses regarding the difference of two means using a matched-pairs design |
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1. The sample is obtained using simple random sampling 2. The sample data are matched pairs 3. The differences are normally distributed with no outliers or the sample size n >= 30 |
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The population mean difference of matched-pairs data |
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Two-tailed test, two dependent means H0: mewd = H1: mewd = |
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H0: mewd = 0 H1: mewd not=to 0 |
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Left-tailed test, two dependent means H0: H1: |
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Right-tailed test, two dependent means H0: H1: |
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Test statistic of two dependent means, t0 = |
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dbar/(sd/n^0.5) where dbar = the mean of differenced data sd = standard deviation of differenced data |
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Two-tailed test, classical approach If t0 > t(alpha/2), then |
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Left-tailed test, classical approach If t0 < -talpha, then |
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Right-tailed test, classical approach If t0 > talpha, then |
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Minor departures from normality will not adversely affect the results of the test |
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To determine outliers, we can use |
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Confidence interval about a population mean = |
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Definition
Point estimate +/- margin of error |
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Term
Lower bound CI, matched-pairs data = |
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Definition
dbar - t(alpha/2) x sd/n^0.5 |
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Upper bound CI, matched-pairs data = |
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Definition
dbar + t(alpha/2) x sd/n^0.5 |
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