1
0
This commit is contained in:
aaronshaw
2019-05-30 08:49:29 -05:00
parent f2036e416b
commit d99f5b10d3
2 changed files with 3 additions and 3 deletions

View File

@@ -68,7 +68,7 @@ summary(lm(m.log, data=d))
``` ```
Keep in mind that you can use other bases for your logarithmic transformations. Check out the documentation for `log()` for more information. Keep in mind that you can use other bases for your logarithmic transformations. Check out the documentation for `log()` for more information.
## Interpreting regression results wiht model-predicted values ## Interpreting regression results with model-predicted values
When you report the results of a regression model, you should provide a table summarizing the model as well as some interpretation that renders the model results back into the original, human-intelligible measures and units specific to the study. When you report the results of a regression model, you should provide a table summarizing the model as well as some interpretation that renders the model results back into the original, human-intelligible measures and units specific to the study.

View File

@@ -335,8 +335,8 @@ summary(lm(m.log, data=d))</code></pre>
<p>Keep in mind that you can use other bases for your logarithmic transformations. Check out the documentation for <code>log()</code> for more information.</p> <p>Keep in mind that you can use other bases for your logarithmic transformations. Check out the documentation for <code>log()</code> for more information.</p>
</div> </div>
</div> </div>
<div id="interpreting-regression-results-wiht-model-predicted-values" class="section level2"> <div id="interpreting-regression-results-with-model-predicted-values" class="section level2">
<h2>Interpreting regression results wiht model-predicted values</h2> <h2>Interpreting regression results with model-predicted values</h2>
<p>When you report the results of a regression model, you should provide a table summarizing the model as well as some interpretation that renders the model results back into the original, human-intelligible measures and units specific to the study.</p> <p>When you report the results of a regression model, you should provide a table summarizing the model as well as some interpretation that renders the model results back into the original, human-intelligible measures and units specific to the study.</p>
<p>This was covered in one of the <a href="https://communitydata.science/~mako/2017-COM521/logistic_regression_interpretation.html">resources</a> I distributed last week (the handout on logistic regression from Mako Hill), but I wanted to bring it back because it is <strong>important</strong>. Please revisit that handout to see a worked example that walks through the process. The rest of this text is a bit of a rant about why you should bother to do so.</p> <p>This was covered in one of the <a href="https://communitydata.science/~mako/2017-COM521/logistic_regression_interpretation.html">resources</a> I distributed last week (the handout on logistic regression from Mako Hill), but I wanted to bring it back because it is <strong>important</strong>. Please revisit that handout to see a worked example that walks through the process. The rest of this text is a bit of a rant about why you should bother to do so.</p>
<p>When is a regression table not enough? In textbook/homework examples, this is not an issue, but in real data it matters all the time. Recall that the coefficient estimated for any single predictor is the expected change in the outcome for a 1-unit change in the predictor <em>holding all the other predictors constant.</em> What value are those other predictors held constant at? Zero! This is unlikely to be the most helpful or intuitive way to understand your estimates (for example, what if you have a dichotomous predictor, what does it mean then?). Once your models get even a little bit complicated (quick, exponentiate a log-transformed value and tell me what it means!), the regression-table-alone approach becomes arguably worse than useless.</p> <p>When is a regression table not enough? In textbook/homework examples, this is not an issue, but in real data it matters all the time. Recall that the coefficient estimated for any single predictor is the expected change in the outcome for a 1-unit change in the predictor <em>holding all the other predictors constant.</em> What value are those other predictors held constant at? Zero! This is unlikely to be the most helpful or intuitive way to understand your estimates (for example, what if you have a dichotomous predictor, what does it mean then?). Once your models get even a little bit complicated (quick, exponentiate a log-transformed value and tell me what it means!), the regression-table-alone approach becomes arguably worse than useless.</p>