Simplest way to compare means from independent samples is using.pdf

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simplest way to compare means from independent samples is usingconfidence intervals, as shown in the previous section. In comparing the confidenceintervals for two means, you can draw the following conclusions:􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴dont overlap, you can safely assume the twomeans are significantly different from each other (at the confidence levelyou chose).􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴overlap slightly, the two means might still besignificantly different. Run attest to determine if they are different.􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴overlap widely, the two means are not significantlydifferent.Lets consider the data inFigure 2.3to illustrate running attest for independentsamples. This shows the ratings of ease of use on a 1 to 5 scale fortwo different designs as rated by two different groups of participants (who wereassigned randomly to one group or the other). Weve calculated the means and􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴􀁴-vals overlap slightly: Design 1s interval goes up to 3.8, whereas Design 2s goesdown to 3.5. This is a case where you should run attest to determine if the twomeans are significantly different.

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Statistics, Normal Distribution, Student s t distribution

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