Statistics Ch 14
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Margin of error
- The confidence level C determines the value of z* (in Table C).
- The margin of error also depends on z*.
- Higher confidence C implies a larger margin of error m (thus less precision in our estimates).
A lower confidence level C produces a smaller margin of error m (thus better precision in our estimates).
Impact of sample size
- The spread in the sampling distribution of the mean is a function of the number of individuals
- per sample.
The larger the sample size, the smaller the standard deviation (spread) of the sample mean distribution.
But the spread only decreases at a rate equal to √n.
Sample size and experimental design
The Power of a statistical test
- the probability that the test will reject Ho at a significance
- level α when Ha is true.
Type I error
Ho is rejected when it is actually true
Type II error
Failure to reject Ho when in fact Ha is true
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