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Lecture_24,_Chap_11,_Sec_1

Lecture_24,_Chap_11,_Sec_1 - Chapter 11 Inferences On Two...

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Unformatted text preview: Chapter 11 Inferences On Two Samples Overview ● We continue with confidence intervals and hypothesis testing for more advanced models ● Models comparing two means When the two means are dependent When the two means are independent ● Models comparing two proportions Chapter 11 Section 1 Inference about Two Means: Dependent Samples Chapter 11 – Section 1 ● Learning objectives Distinguish between independent and dependent sampling Test claims made regarding matched-pairs data Construct and interpret confidence intervals about the population mean difference of matched-pairs data 1 2 3 Two Means – Dependent Samples ● Chapter 10 covered a variety of models dealing with one population The mean parameter for one population The proportion parameter for one population ● However, there are many real-world applications that need techniques to compare two populations Our Chapter 10 techniques do not do these Two Means – Dependent Samples Examples of situations with two populations We want to test whether a certain treatment helps or not … the measurements are the “before” measurement and the “after” measurement We want to test the effectiveness of Drug A versus Drug B We give Drug A to 40 patients We give Drug B to 40 patients The measurements are the Drug A and Drug B responses Two Means – Dependent Samples ● In certain cases, the two samples are very closely tied to each other ● A dependent sample is one when each individual in the first sample is directly matched to one individual in the second ● In certain cases, the two samples are very closely tied to each other ● A dependent sample is one when each individual in the first sample is directly matched to one individual in the second ● Examples Before and after measurements (a specific person’s before and the same person’s after) Experiments on identical twins (twins matched with each other Helpful Hint: Read Example 1 on p. 575 of your textbook. Two Means – Dependent Samples ● On the other extreme, the two samples can be completely independent of each other ● An independent sample is when individuals selected for one sample have no relationship to the individuals selected for the other ● On the other extreme, the two samples can be completely independent of each other ● An independent sample is when individuals selected for one sample have no relationship to the individuals selected for the other ● Examples Fifty samples from one factory compared to fifty samples from another Two hundred patients divided at random into two groups of one hundred Two Means – Dependent Samples ● The dependent samples are often called matched-pairs ● Matched-pairs is an appropriate term because each observation in sample 1 is matched to...
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