List the two conditions that must be met in order to use the p...

Question

List the two conditions that must be met in order to use the paired-sample sign test.

Accepted Answer

Hello there. Today we're gonna solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. Which two requirements must be satisfied to apply the paired sample Wilcoxson's signed rank test? Awesome. So it appears for this particular prompt we're asked to determine which two requirements must be satisfied in order to apply the paired sample Wilcoxson signed rank test. So what are these two requirements that need to be satisfied, and that is the final answer or answers we're trying to solve for for this particular prompt. So with that in mind, let's read off our multiple choice answers to see what our final answer might be. A is data are paired and measured on at least an ordinal scale. B is data are paired and measured on a nomial scale. C is data are unpaired and measured on an interval scale, and finally, D is data are independent and measured on a nomial scale. Awesome. So our first step that we need to take in order in order to solve this problem is we need to recall and note that the observations must be paired, meaning each subject or item is measured twice, such as under two different conditions. Our second step is we need to recall a note that the measured scale must be at least ordinal so that the direction and magnitude of the difference between each pair can be ranked. So with that in mind, that will mean that our only correct answer out of our multiple choice answers will have to be multiple choice answer letter A, which once again is data are paired and measured on at least an ordinal scale, and that's it. That's our final answer. So to quickly recap, there's two steps that we needed to take to solve this problem. Our first step is we need to pay attention to the type of observations that are occurring for this particular case for this problem, which in this case we need to note that observations have to be paired, meaning that each subject or item will be measured twice, such as under two different conditions, and our second step, we need to focus on what type of measurement scale is being applied. Which for this particular problem, we need to note that the measurement scale must be at least ordinal. So that the direction and magnitude of the difference between each pair can be ranked as a result. So that will mean, without a doubt that multiple choice answer letter A, the data are paired and measured on at least an ordinal scale, has to be our final answer. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

List the two conditions that must be met in order to use the paired-sample sign test.

Key Concepts

Paired Samples

Non-Normality of Differences

Symmetry of Differences

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