STAT 111 Lecture Notes - Lecture 15: Statistical Parameter, Null Hypothesis, Confidence Interval

• School: University of Vermont
• Department: Statistics
• Course: STAT 111
• Professor: Jacob William Martin

Document Summary

Our best guess at the distribution of sample statistics. Simulate sampling from the population by resampling from the original sample. Our best guess at the distribution of sample statistics, if h0 were true. Big difference: a randomization distribution assumes h0 is true, while a bootstrap distribution does not. When the null value is in the tails of the bootstrap distribution (not in the ci), the sample statistic is in the tails of the randomization distribution (reject h0) When the null value is not in the tails of the bootstrap distribution (in the ci), the sample statistic is not in the tails of the randomization distribution (do not reject h0) A confidence interval represents the range of plausible values for the population parameter. If the null hypothesized value is not within the ci, it is not a plausible value and should be rejected.