c. Shown below is an interaction graph constructed from the da...

Question

c. Shown below is an interaction graph constructed from the data in Exercise 1. What does the graph suggest?

Interaction graph showing force on left and right femur across vehicle sizes: Small, Midsize, Large, SUV.

Accepted Answer

Hello there. Today we're going to 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 study compares the effectiveness of two teaching methods, Method A and Me B, in morning and afternoon classes. An interaction graph is provided below. What does this graph indicate? Awesome. So it appears for this particular problem, we're ultimately trying to figure out what this interaction graph indicates, and that's our final answer we're ultimately trying to solve for. So we're trying to take our interaction plot graph that is provided to us, and we're asked to figure out what it indicates, and that will be our final answer. So with that in mind, let's take a moment to quickly look at our interaction plot to help us visualize what's going on. So if we were to pretend like this was a normal coordinate plane type of graph, our Y axis, which would be our column, represents the score, and the lowest score is indicated as 50, and the highest score is indicated as 80. And then our X-axis, which would be our bottom, bottom row of our graph, would represents our morning on the left and our afternoon classes on the right, and that's for our class time. And let us note that method A is denoted by a solid black line, whereas Me B is denoted as a black dotted line or a hyphenated line, so it has dashes missing, so it looks like it was erased a little bit. And as you can see, both of these two curves or these lines for method A and method B, they appear to be parallel because they do not intersect or touch one another. They also appear like they're steadily increasing from a lower score value to a higher score value. As going from morning classes to the afternoon class time as it appears, looking at our graph. So now that we have a nice visualization of what's happening in this particular prompt, let's read off our multiple choice answers to see what our final answer might be. So A is there is a strong interaction between the teaching method and class time. B is the effect of the teaching method depends on class time. C is there is no interaction. The effect of teaching method is consistent across class times, and method A is only effective in the afternoon. Awesome. So, first off, in order to solve this particular problem, we need to understand what an interaction graph shows. So as we should recall, an interaction graph displays the means of groups, meaning in this case, the teaching methods across levels of another factor, and in this case, it could be something like time of day, etc. And our second step now. we need to interpret the parallel lines in an interaction graph. So as we should recall, if the lines are nearly parallel and do not cross, this suggests that the difference between method A and Me B is consistent across morning and afternoon classes. Which, as we discussed earlier, because they appear to be parallel in nature. So now, our third and final step is we need to conclude the interaction, we need to make our final conclusions about the interaction. So once again, we need to recall and note that parallel lines indicate no significant interaction between teaching method and time of day. So the effect of teaching method does not depend on the time of day. So that will mean, without a doubt, our final answer will have to be multiple choice answer letter C, because once again our final answer states that the graph indicates there is no significant interaction between teaching method and the time of day. The effectiveness of each. It is similar in both morning and afternoon classes. So without a doubt, that would make multiple choice answer letters C, our final answer, which C states there is no interaction. The effect of teaching method is consistent across class times. Awesome. 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 video. Bye.

c. Shown below is an interaction graph constructed from the data in Exercise 1. What does the graph suggest?

Key Concepts

Interaction Graphs

Force Measurement

Comparative Analysis

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