Editing 2701: Change in Slope
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− | | titletext = Squinting at a graph is fine for getting a rough idea of the answer, but if you want to pretend to know it exactly, you | + | | titletext = Squinting at a graph is fine for getting a rough idea of the answer, but if you want to pretend to know it exactly, you neeed statistics. |
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==Explanation== | ==Explanation== | ||
− | + | {{incomplete|Created by a SIDEWAYS STATISTIC - Confirm whether the rotated plot is accurate to the comic (i tilted my laptop screen to check this). Expand on statistical tools one could use to find the change in slope for a scatter plot. Do NOT delete this tag too soon.}} | |
− | The comic | + | The comic is a tip for detecting changes in slopes over a scatter plot of data. This is very prevalent in statistics while comparing trends - finding the cutoff where the slope changes reveals valuable data about the data set. |
− | The | + | The comic compares two methods - a novice method, by 'doing a bunch of statistics' - applying various statistical tools to analyze the data and figure out the quantitative change in slope. This results in two equations for the trendlines above and below a given n, a box plot, a histogram and a line chart. It is unknown what methods did the novice use to figure out the change in slope in the data. |
− | + | The other 'expert' method, involves tilting the page the graph is printed on to view changes in slope better. For small inflections in an underlying trend, similar to the scatter plot shown in the comic, visual inspection cannot always show the point of inflection. The comic then shows that by taking the page and rotating it so the plot is skewed relative to the observer, the change in slope is more clearly visible to the naked eye. Ironically, tilting the comic to roughly mirror the tilted graph shown in the comic shows that the second panel is exaggerated for visual effect. | |
− | The title text then goes on to say that | + | However, applying such an approach to data plots can run into errors - the primary one being parallax error from the oblique viewing angle causing the observer to misidentify or be unable to clearly find the point of inflection. It also does not reveal any data about the quantitative value of the change in slope, merely proving the existence of one. |
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+ | The title text then goes on to say that while such a trick is fine to figure out a rough idea of the change in slope, in order to ''pretend'' to know it exactly, one must revert to statistics - the novice method. This is a not-so-subtle dig at statistics and statistical rigor, where data can be interpreted in any number of ways in order to reach an answer of your liking, while simultaneously defeating the premise of the comic. | ||
==Transcript== | ==Transcript== | ||
+ | {{incomplete transcript|Do NOT delete this tag too soon.}} | ||
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:How to detect a change in the slope of your data | :How to detect a change in the slope of your data | ||
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{{comic discussion}} | {{comic discussion}} | ||
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[[Category:Scatter plots]] | [[Category:Scatter plots]] | ||
[[Category:Bar charts]] | [[Category:Bar charts]] | ||
[[Category:Line graphs]] | [[Category:Line graphs]] | ||
[[Category:Statistics]] | [[Category:Statistics]] |