Covariate is a tricky term in a different way than hierarchical or beta, which have completely different meanings in different contexts.
Covariate really has only one meaning, but it gets tricky because the meaning has different implications in different situations, and people use it in slightly different ways. And these different ways of using the term have BIG implications for what your model means.
The most precise definition is its use in Analysis of Covariance, a type of General Linear Model in which the independent variables of interest are categorical, but you also need to adjust for the effect of an observed, continuous variable–the covariate.
In this context, the covariate is always continuous, never the key independent variable, (more…)
Knowing the right statistical analysis to use in any data situation, knowing how to run it, and being able to understand the output are all really important skills for statistical analysis. Really important.
But they’re not the only ones.
Another is having a system in place to keep track of the analyses. This is especially important if you have any collaborators (or a statistical consultant!) you’ll be sharing your results with. You may already have an effective work flow, but if you don’t, here are some strategies I use. I hope they’re helpful to you.
1. Always use Syntax Code
All the statistical software packages have come up with some sort of easy-to-use, menu-based approach. And as long as you know what you’re doing, there is nothing wrong with using the menus. While I’m familiar enough with SAS code to just write it, I use menus all the time in SPSS.
But even if you use the menus, paste the syntax for everything you do. There are many reasons for using syntax, but the main one is documentation. Whether you need to communicate to someone else or just remember what you did, syntax is the only way to keep track. (And even though, in the midst of analyses, you believe you’ll remember how you did something, a week and 40 models later, I promise you won’t. I’ve been there too many times. And it really hurts when you can’t replicate something).
In SPSS, there are two things you can do to make this seamlessly easy. First, instead of hitting OK, hit Paste. Second, make sure syntax shows up on the output. This is the default in later versions, but you can turn in on in Edit–>Options–>Viewer. Make sure “Display Commands in Log” and “Log” are both checked. (Note: the menus may differ slightly across versions).
2. If your data set is large, create smaller data sets that are relevant to each set of analyses.
First, all statistical software needs to read the entire data set to do many analyses and data manipulation. Since that same software is often a memory hog, running anything on a large data set will s-l-o-w down processing. A lot.
Second, it’s just clutter. It’s harder to find the variables you need if you have an extra 400 variables in the data set.
3. Instead of just opening a data set manually, use commands in your syntax code to open data sets.
Why? Unless you are committing the cardinal sin of overwriting your original data as you create new variables, you have multiple versions of your data set. Having the data set listed right at the top of the analysis commands makes it crystal clear which version of the data you analyzed.
I know you remember today that your variable labeled Mar4cat means marital status in 4 categories and that 0 indicates ‘never married.’ It’s so logical, right? Well, it’s not obvious to your collaborators and it won’t be obvious to you in two years, when you try to re-analyze the data after a reviewer doesn’t like your approach.
Even if you have a separate code book, why not put it right in the data? It makes the output so much easier to read, and you don’t have to worry about losing the code book. It may feel like more work upfront, but it will save time in the long run.
5. Put data manipulation, descriptive analyses, and models in separate syntax files
When I do data analysis, I follow my Steps approach, which means first I create all the relevant variables, then run univariate and bivariate statistics, then initial models, and finally hone the models.
And I’ve found that if I keep each of these steps in separate program files, it makes it much easier to keep track of everything. If you’re creating new variables in the middle of analyses, it’s going to be harder to find the code so you can remember exactly how you created that variable.
6. As you run different versions of models, label them with model numbers
When you’re building models, you’ll often have a progression of different versions. Especially when I have to communicate with a collaborator, I’ve found it invaluable to number these models in my code and print that model number on the output. It makes a huge difference in keeping track of nine different models.
7. As you go along with different analyses, keep your syntax clean, even if the output is a mess.
Data analysis is a bit of an iterative process. You try something, discover errors, realize that variable didn’t work, and try something else. Yes, base it on theory and have a clear analysis plan, but even so, the first analyses you run won’t be your last.
Especially if you make mistakes as you go along (as I inevitably do), your output gets pretty littered with output you don’t want to keep. You could clean it up as you go along, but I find that’s inefficient. Instead, I try to keep my code clean, with only the error-free analyses that I ultimately want to use. It lets me try whatever I need to without worry. Then at the end, I delete the entire output and just rerun all code.
One caveat here: You may not want to go this approach if you have VERY computing intensive analyses, like a generalized linear mixed model with crossed random effects on a large data set. If your code takes more than 20 minutes to run, this won’t be more efficient.
8. Use titles and comments liberally
I’m sure you’ve heard before that you should use lots of comments in your syntax code. But use titles too. Both SAS and SPSS have title commands that allow titles to be printed right on the output. This is especially helpful for naming and numbering all those models in #6.
9. Name output, log, and programs the same
Since you’ve split your programs into separate files for data manipulations, descriptives, initial models, etc. you’re going to end up with a lot of files. What I do is name each output the same name as the program file. (And if I’m in SAS, the log too-yes, save the log).
Yes, that means making sure you have a separate output for each section. While it may seem like extra work, it can make looking at each output less overwhelming for anyone you’re sharing it with.
I was recently asked about whether it’s okay to treat a likert scale as continuous as a predictor in a regression model. Here’s my reply. In the question, the researcher asked about logistic regression, but the same answer applies to all regression models.
1. There is a difference between a likert scale item (a single 1-7 scale, eg.) and a full likert scale , which is composed of multiple items. If it is a full likert scale, with a combination of multiple items, go ahead and treat it as numerical. (more…)
I’m sure I don’t need to explain to you all the problems that occur as a result of missing data. Anyone who has dealt with missing data—that means everyone who has ever worked with real data—knows about the loss of power and sample size, and the potential bias in your data that comes with listwise deletion.
Listwise deletion is the default method for dealing with missing data in most statistical software packages. It simply means excluding from the analysis any cases with data missing on any variables involved in the analysis.
A very simple, and in many ways appealing, method devised to (more…)
If you’ve ever been puzzled by odds ratios in a logistic regression that seem backward, stop banging your head on the desk.
Odds are (pun intended) you ran your analysis in SAS Proc Logistic.
Proc logistic has a strange (I couldn’t say odd again) little default. If your dependent variable Y is coded 0 and 1, SAS will model the probability of Y=0. Most of us are trying to model the probability that Y=1. So, yes, your results ARE backward, but only because SAS is testing a hypothesis opposite yours.
Luckily, SAS made the solution easy. Simply add the ‘Descending’ option right in the proc logisitic command line. For example:
PROC LOGISTIC DESCENDING;
MODEL Y = X1 X2;
RUN;
All of your parameter estimates (B) will reverse signs, although p-values will not be affected.
[Logistic_Regression_Workshop]
In addition to the five listed in this title, there are quite a few other options, so how do you choose which statistical software to use?
The default is to use whatever software they used in your statistics class–at least you know the basics.
And this might turn out pretty well, but chances are it will fail you at some point. Many times the stat package used in a class is chosen for its shallow learning curve, (more…)
