Heights of Females from ANSUR I and ANSUR II Example 1 in this...

Question

Heights of Females from ANSUR I and ANSUR II Example 1 in this section used samples of heights of males from Data Set 1 “ANSUR I 1988” and Data Set 2 “ANSUR II 2012.” Listed below are samples of heights (mm) of females from those same data sets. Are the requirements for using the Wilcoxon rank-sum test satisfied? Why or why not?

Table showing female heights in mm from ANSUR I 1988 and ANSUR II 2012 for statistical analysis.

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. A researcher collects two independent samples of systolic blood pressure readings in millimeters of mercury from two different age groups. Group A, ages 20 to 30, and Group B, ages 50 to 60. The data are continuous and box plots of bold groups show similar distribution shapes with no extreme outliers. Are the requirements for using the Wilcoxen ranks some test met for comparing these two groups? Why or why not? Awesome. So it appears for this particular problem, we're asked to determine whether or not the requirements for using the Wilcoxson this rank sum test met for comparing these two particular groups why or why not. So ultimately we're trying to see if we can apply and use the Wilcoxen rank sum test. So are these conditions met for these two groups? Why or why not? And that is our final answer we're ultimately trying to solve for. So with that said, let's read off our multiple choice answers to see what our final answer might be. A is no, because the samples are not independent. B is no because the distributions have extreme outliers. C is no because the data are not continuous, and finally D is yes, because the samples are independent, the data are continuous, and the distributions are similarly shaped. Awesome. So, first off, in order to solve this problem, we need to note and recall that the Wilcoxen Rake sum test requires independent samples, continuous or ordinal data, and similarly shaped distributions without extreme outliers. Our second step is we need to Note once again that in our above problem, we're told that the samples are from different age groups that will make them independent because they're from different age groups that would make it independent. So we'll do a letter I to remind us that our data is independent. So our third step is we need to recall a note that the blood pressure readings are continuous data. So I'll do a capital C and remind us that it's our data is continuous. So our fourth and final step means is we need to recall a note that the box plots, or as we're told, show similar shapes and have no extreme outliers present. So therefore, without a doubt, all the requirements for the Wilcoxson rank sum tests are satisfied. So that will mean that our final answer without a doubt will have to be multiple choice answer letter D, which once again is yes, because the samples are independent, the data are continuous, and the distributions are similarly shaped. And that's it. We've officially solved for this problem. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next problem. Bye.

Key Concepts

Wilcoxon Rank-Sum Test

Assumptions of the Wilcoxon Rank-Sum Test

Data Distribution

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