We are going to talk about confidence interval and hypothesis testing for the difference of two paired means. We have been talking about independent samples so far. Now we are going to talk about paired samples. First, we will see the difference between independent samples and paired samples. We are also going to try to clarify the difference between them. Then, we are going to introduce some notation for paired samples and go through the steps of hypothesis testing for paired samples. Finally, we are going to go over the formulas that go with the steps of hypothesis testing for independent as well as paired samples.
Confidence Intervals & Hypothesis Testing for the Difference of Two Paired Means
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.
The independent sample t-test or paired samples t test?3188
We need to figure out what it means by more powerful.3192
I need some scratch paper here because the problem was so long I am just going to divide the space in half.3196
This top part I am going to use for assuming independent samples.3205
They are not actually independent samples, but I want you to see the difference between doing them as independent sample and doing them as paired samples doing this hypothesis testing as paired samples.3211
Step 1, the hypothesis, the null hypothesis is that if I get these sample 3224
and they are independent this difference of means on average is going to be 0. 3231
This book provides a clear and methodical approach to essential statistical procedures. It clearly explains the basic concepts and procedures of descriptive and inferential statistical analysis. This book features a new emphasis on expressions involving sums of squares and degrees of freedom as well as a stronger stress on the importance of variability.