STATS 250 Lecture Notes - Lecture 17: Mean Absolute Difference, Scattering Parameters, Confidence Interval
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Recall that an important special case of a single mean of a population occurs when two quantitative variables are collected in pairs, and we desire information about the difference between the two variables. Standard error: s. e. ( d ) = sd where sd is the standard deviation of the sampled differences. n a random sample of few differences from popul dd. The multiplier used will depend on the confidence level, the sample size, and the type of parameter being estimated. One sample t confidence interval for the population mean difference d d s. e. d t where *t is the appropriate value for a t(n 1) distribution. These data were entered into spss to produce the following histogram. large (positive) differences. We know that about 95% of the intervals made with this method would contain the population mean improvement (not the sample mean). The differences were already computed and entered as the data.