STAB22H3 Chapter Notes - Chapter 25: Confidence Interval, Sampling Distribution, Null Hypothesis

• School: UTSC
• Department: Statistics
• Course: STAB22H3
• Professor: Srishta Chopra

Document Summary

Paired data: data paired when the observations are collected in pairs or the observations in one group are naturally related to observations in the other. The simplest form of pairing is to measure each subject twice- often before and after a treatment is applied. When the conditions are met, we are ready to test whether the mean of paired differences is significantly different from zero. Where the ds are the pairwise differences and 0 is almost always 0. D is the mean of the pairwise differences, n, is the number of pairs and: N is the ordinary standard error for the mean, applied to the. When the conditions are met and the null hypothesis is true, we can model the sampling distribution of this statistic with a student"s t-model with n-1 df and use that model to obtain a p-value. When the conditions are met, we are ready to find the confidence interval for the mean of the paired differences.