If I were to give one piece of advice to a would-be program evaluator, it would be to get to know your data so intimately it’s almost immoral.

Generally, program evaluation is an activity undertaken by someone with a degree of expertise in research methods and statistics (hopefully!) using data gathered and entered by people’s whose interest is something completely different, from providing mental health services to educating students.

Because their interest in providing data is minimal, your interest in checking that data better be maximal. Let’s head on with the data from the last post. We have now created two data sets that have the same variable formats so we are good to go with concatenating them.
DATA answers hmph;
SET fl_answers ansfix1 ;
IF username IN(“UNDEFINED”,”UNKNOWN”) or INDEX(username,”TEST”) > 0 THEN OUTPUT hmph;
ELSE OUTPUT answers;

PRO TIP : I learned from a wise man years ago that one should not just gleefully delete data without looking at it. That is, instead of having a dataset where you put the data you expect and deleting the rest, send the unwanted data to a data set. If it turns out to be what you expected, you can always delete the data after you look at it.

There should be very few people with a username of  ‘UNDEFINED’ or ‘UNKNOWN’. The only way to get that is to be one of our developers who are entering the data in forms as they create and test them, not by logging in and playing the game.   The INDEX function checks in the variable in the first argument for the string given in the second and returns the starting position of the string, if found. So,  INDEX(username, “TEST”) > 0 looks for the word TEST anywhere in the username.

Since we ask our software testers to put that word in the username they pick, it should delete all of the tester records. I looked at the hmph data set and the distribution of usernames was just as I expected and most of the usernames were in the answers data set with valid usernames.

Did you remember that we had concatenated the data set from the old server and the new server?

I hope you did because if you didn’t you will end up with a whole lot of the same answers in their twice.

Getting rid of the duplicates

PROC SORT DATA = answers OUT=in.all_fl_answers NODUP ;
by username date_entered ;

The difference between NODUP and NODUPKEY is relevant here. It is possible we could have a student with the same username and date_entered because different schools could have assigned students the same username. (We do our lookups by username + school). Some other student with the same username might have been entering data at the same time in a completely different part of the country. The NODUP option only removes records if every value of every variable is the same. The NODUPKEY removes them if the variables in the BY statement are duplicates.

All righty then, we have the cleaned up answers data, now we go back and create a summary data set as explained in this post. You don’t have to do it with SAS Enterprise Guide as I did there, I just did it for the same reason I do most things, the hell of it.

MERGING THE DATA

PROC SORT DATA = in.answers_summary ;
BY username ;

PROC SORT DATA = in.all_fl_students ;
BY username ;

DATA in.answers_studunc odd;
MERGE in.answers_summary (IN=a) in.all_fl_students (IN=b) ;
IF a AND b THEN OUTPUT in.answers_studunc  ;
IF a AND NOT  b THEN OUTPUT odd ;

The PROC SORT steps sort. The MERGE statement merges. The IN= option creates a temporary variable with the name ‘a’ or ‘b’. You can use any name so I use short ones.  If there is a record in both the student record file and the answers summary file then the data is output to a data set of all students with summary of answers.

There should not be any cases where there are answers but no record in the student file. If you recall, that is what set me off on finding that some were still being written to the old server.

LOOK AT YOUR LOG FILE!

There is a sad corner of statistical purgatory for people who don’t look at their log files because they don’t know what they are looking for. ‘Nuff said.

This looks exactly as it should. A consistent finding in the pilot studies of assessment of educational games has found a disconcertingly low level of persistence. So, it is expected that many players quit when they come to the first math questions.  The fact that of the 875 players slightly less than 600 had answered any questions was somewhat expected. As expected, there were no records where

NOTE: There were 596 observations read from the data set IN.ANSWERS_SUMMARY.
NOTE: There were 875 observations read from the data set IN.ALL_FL_STUDENTS.
NOTE: The data set IN.ANSWERS_STUDUNC has 596 observations and 11 variables.
NOTE: The data set WORK.ODD has 0 observations and 11 variables.

So, now, after several blog posts, we have a data set ready for analysis ….. almost.


Want to see these data at the source?

Check out our game, playable on Mac or Windows. Download Spirit Lake or Fish Lake  to play, or for Forgotten Trail, just click on the link provided, no download required.

Mom and kid

You can also donate a copy of the game to a school or give as a gift.

Further Reading

For more on SAS character functions check out Ron Cody’s paper An Introduction to Character Functions, an oldie but goodie from WUSS back in 2003.

Or you could read my last post!

This paper by Britta Kelsey from SAS Users Group International in 2005 will tell you more than you want to know about the NODUP and NODUPKEY.

Occasionally, a brave student will ask me,

When will I ever use this?

The “this” can be anything from a mixed model analysis to nested arrays. (I have answers for both of those, by the way.)

I NEVER get that question when discussing topics like filtering data, whether for records or variables, because it is so damn ubiquitous.

computer in a field

Before I headed out to be, literally, testing in the field (you can read why here) , I was working on an evaluation of the usability of one of our games, Fish Lake.

I had expected to find a correlation between performance and persistence but it didn’t quite turn out that way because the players who had 100% of the problems correct skewed the results.

My next thought was that many students played the game for a very short time, got the first answer correct and then quit. I decided to take a closer look at those people.

First step: from the top menu select TASKS, then DATA, then FILTER AND SORT

filter and sort

Second step:  Create the filter. Click on the FILTER tab, select from the drop-down menu the variable to use to filter, in this case the one named “correct_Mean” , select the type of filter in the next drop-down menu, in this case EQUAL TO and in the box, enter the value you want it to equal. If you don’t remember all of the values you want, clicking on the three dots next to that box will bring up a list of values. You can also filter by more than one variable, but in this case, I only want one, so I’m done.Create filter

Third step:  Select the variables. Steps two and three don’t have to be done in a particular order, but you DO have to select variables or your procedure won’t run, since it would end up with an empty data set. I do the filter first so I don’t forget. I know the filter is the whole point and you’re probably thinking you’d never forget that but you’re probably smarter than me or never rushed.

Selecting variables

If you click the double arrows in the middle, that will select all of the variables.  In this case, I just selected the two variables I wanted and clicked the single arrow (the top one) to move those over.

Why include correct_mean, since obviously that is a constant?

Because I could have made a mistake somewhere and these aren’t all with 100% correct. (Turns out, I didn’t and they were, but you never know in advance if you made a mistake because if you did then you wouldn’t make it.)

I click OK and now I have created a data set of just the people who answered 100% correctly.

For a first look, I graphed the frequency distribution of the number of questions answered by these perfect scorers.  To do this,

  1. Go to TASKS > GRAPH > Bar Chart

bar chart menu to select type of graph

2. Click on the first chart to select it, that’s a simple vertical bar chart

data menu
3. Click on the DATA tab and drag correct_N under column to chart

appearance option

4. Under APPEARANCE click the box next to SPECIFY NUMBER OF BARS. The default here is one bar for each unique data value, which is already clicked. Caution with this if you might have hundreds of values, but I happen to know the max is less than 20.

bar chart of number of answersI thought I’d find a bunch answered one question and a few answered all of the questions and maybe those few were data entry errors, say teachers who tested the game and shouldn’t be in the databaseWhen I look at this graph, I’m surprised. There are a lot more people who had answered 100% correctly than I expected and they are distributed a lot more across the number of questions than I expected.  That’s the fun of exploratory data analysis. You never know what you are going to find.

SO, now what?

 


Want to see the game that generated these data? Canoe rapids, catch fish and learn fractions.

Fish lake splash screen

Runs on Mac and Windows.


So, now what?

I want to find out more about the relationship among persistence and performance. To do this, I’m going to need to merge the answers summary data set with demographics.

I’m going to go back to the Summary Data Set I created in the last post (remember that one) and just filter variables this time, keeping all of the records.

Again, I’m going to go to the TASKS menu, select DATA then FILTER AND SORT, this time, I’m going to have no filter and select the variables.

Since the pop-up window opens with the VARIABLES tab selected, I just click the variables I want, which happens to be “correct_N”,” correct_mean” and “username”, click the single arrow in between the panes to move them over, and click OK at the bottom of the pop-up window. Done! My data set is created.

variables selected

You can always click on PROGRAM from the main menu to write code in SAS Enterprise Guide, but being an old dinosaur type, I’d like to export this data set I just created and do some programming with it using SAS. Personally, I find it easier to write code when I’m doing a lot of merging and data analysis. I find Enterprise Guide to be good for the quick looks and graphics but for more detailed analysis, the old timey SAS Editor is my preference.  If you happen to be like me, all you need to do to output your data set is click on it in the process flow and select EXPORT.

export file option

You want to export this file as a stand-alone data set, not as a step in a project. Just select the first option and you can save it like any file, select the folder you want, give it the name you want. No LIBNAME statement required.

And it’s a beautiful sunny day in Santa Monica, so that’s it on this project for today.

—–

In the last post, I used SAS Enterprise Guide to filter out a couple of ‘bad’ records that came from test data, then I created a summary table of the number of questions answered and the percentage correct. Then, I calculated the mean percentage correct for the  around 84%. That seemed a bit high to me.

Having (temporarily) answered the first question regarding the number of individual subjects and the average percent of correct answers from the 424 subjects, I turned to the next question:

Is there a correlation between percentage correct and the number of questions attempted? That is, do students who are getting the answers correct persist more often?

Since I had both variables, N and the mean correct (which, since this was score 0= correct, 1= incorrect gave me the percentage correct) from the summary tables I had created in the previous step, it was a simple procedure to compute the correlation.

I just went to the TASKS menu, selected MULTIVARIATE and then CORRELATIONS

Selection menu for correlations

Under ANALYSIS VARIABLES correct_ N for the ‘correct’ variable, which is a variable that holds whether the  student answered correctly, 0(= no) or 1(=yes).  Under CORRELATE WITH I dragged correct_mean, which has the percentage each student answered correctly.

Variables selected for correlationSince it is just a bivariate correlation and the correlation of X with Y = the correlation of Y with X , it would make absolutely no difference if I switched the spots where I dragged the two variables.

I click run and I get a somewhat unexpected result, you can see here, with a correlation of -.07.

I also note that the minimum number of answers attempted is 1. Now, I have done (and published) analyses of these data elsewhere, as this is an on-going project.

 


Other analyses from this same project can be found in:

Telling Stories with Your Data and

Yes, PROC FREQ Does That!


Because of these analyses of ‘Fidelity of Implementation’, that is the degree to which a project is implemented as planned, I am pretty sure that these data include a large proportion of students who only had the opportunity to play the game once.

So … I decided to run a scatter plot and check my suspicion. This is pretty simple. I just go to the TASKS menu and select GRAPH then SCATTER PLOT.

I selected 2-D Scatter Plot

2D scatter plot selected

Then, I clicked on the DATA tab, dragged correct_Mean under Horizontal and Correct_N and vertical, then clicked RUN.

Data window for scatter plot

This produced the graph below.

scatter3Now, this graph isn’t fancy but it serves its purpose, which is to show me that there IS in fact a correlation of mean correct and the number of problems attempted. Look at that graph a minute and tell me that you don’t see a linear trend – but it is pulled off by the line of 1.0 at the far end.

This did NOT fit my preconceived notion, though, that the lack of correlation was due to the players who played once, and so there would be a bunch of people who had answered 1 or 2 questions and got 100% of them correct. Actually, those 100-percenters were all over the distribution in terms of number of problems attempted.

This reminds me of a great quote by Isaac Asimov,

The most exciting phrase to hear in science, the one that heralds new discoveries, is not ‘Eureka!’ (I found it!) but ‘That’s funny …’

Well, we shall see, as our analysis continues …

 


Want to see these data at the source?

Check out our game, playable on Mac or Windows. Download Spirit Lake or Fish Lake  to play, or for Forgotten Trail, just click on the link provided, no download required.

Mom and kid

You can also follow the link above to donate a copy of the game to a school or give as a gift.

 

 

The government is extremely fond of amassing great quantities of statistics. These are raised to the nth degree, the cube roots are extracted, and the results are arranged into elaborate and impressive displays. What must be kept ever in mind, however, is that in every case, the figures are first put down by a village watchman, and he puts down anything he damn well pleases.
Josiah Stamp

Any time you do anything with any data your first step is to consider the wisdom of Sir Josiah Stamp and check the validity of your data. One quick first step is using the Summary Tables task from SAS Enterprise Guide. If you are not familiar with SAS Enterprise Guide, it is a menu driven application for using SAS for data analysis. You can open a program window and write code if you like, and I do that every now and then but that’s another post. In my experience, SAS Enterprise Guide works much better with smaller data sets – defined by me, as the blog owner, of less than 400,000 records or so. Your mileage may vary depending upon your system.

How to do it:

  1. Open SAS Enterprise Guide
  2. Open your data set – (FILE > OPEN > DATA)
  3. From the TASKS menu, select DESCRIBE and then SUMMARY TABLES. The window below will pop up
  4. Drag the variables to the roles you want for each. Since I have less than 450 usernames here, I just quickly want to see are there duplicates, errors (e.g. ‘gret bear’ is really the same kid as ‘grey bear’ , with a typo). I also want to find out the number of problems each student attempted and the percent correct. So, I drag ‘username’ under CLASSIFICATION VARIABLES and ‘correct’  under ANALYSIS variables. You can have more than one of each but it just so happens I only have one classification and one analysis variable I’m interested in right now.

window with options for data

 

5. Next click on the tab at left that says SUMMARY TABLES and drag your variables and statistics where you want them. I want ‘username’ as the row, so I drag it to the side, ‘correct’ as the column, N is already filled in as a statistic if you drag your classification variable to the table first. I also want the mean, so I drag that next to the N. Then, click RUN.

summary tables tab with statistics selected

Wait a minute! Didn’t I say I wanted the percent correct for each student? Why would I select mean instead of percent?

Because the pctN will simply tell me what percent of the total N responses from this username make up. I don’t want that. Since the answers are score 0 = wrong, 1= right, the mean will tell me what percentage of the questions were answered correctly by each student. Hey, I know what I’m doing here.

6. Look at the data! In looking at the raw data, I see that there are two erroneous usernames that shouldn’t be there. These data have been cleaned pretty well already, so I don’t find much to fix.summary4_badoutputNow, I want to re-run the analysis deleting these two usernames.

7. At the top of your table, you’ll see an option that says “Modify Task”. Click that.

summary5_modify_task8. You’ll have the summary tables window pop up, this time with your data filled in.  Click on the edit button at the top right of this window. You are about to create a task filter.

window with options for data

8. Under TASK FILTER pull down the first box to show the variable ‘username’. Pull down the second box to show the option NOT EQUAL TO and then click the three dots next to the third box. This will pull up a list of all of your values for usernames. You can select the one you want to exclude and click OK.  Next to the three dots, pull down to select AND, then go through this to select the second username you want to delete. You can also just type in the values, but I tend to do it this way because I’m a bad typist with a bad short-term memory.

summary6_edit9. Create a SAS dataset of the output. It’s super easy. Click on the RESULTS tab to the left and in the window that pops up click SAVE RESULTS TO A DATA SET. Then, click RUN.

summary3   10. The most recently created data set should be your default data set for analysis but click on it in your process flow diagram to activate it just in case. summary7_newdata

11. From the DESCRIBE menu again select SUMMARY STATISTICS

12. Drag ‘correct_mean’ under ANALYSIS VARIABLES and click RUN.

The resulting table gives me my answer – the mean is .838 with a standard deviation of .26 for N=424 subjects.  So … the average subject answered 84% of the problems correctly. This, however, is just the first step. There are couple more interesting questions to be answered with this data set before moving on. Read the next step here. 

————–

Want to play the game that produced these data? Own a Mac or Windows computer? Have ten bucks?

Girl on TV playing game

Here you go.

Where we left off, I had created some parcels and was going to do a factor analysis later. Now, it’s later. If you’ll recall, I had not find any items that correlated significantly with the food item that also made sense conceptually. For example, it correlated highly with attending church services but that didn’t really have any theoretical basis. So, I left it as a single variable. Here is my first factor analysis.

proc factor data= parcels rotate= varimax scree ;
Var socialp1 – socialp3 languagep spiritualp spiritual2 culturep1 culturep2  food;

You can see from the scree plot here that there is one factor way at the top of the chart with the rest scattered at the bottom. Although the minimum eigen value of 1 criterion would have you retain two factors, I think that is too many, for both logical and statistical reasons.  The eigenvalues of the first two factors, by the way, were 4.74 and 1.10 .

scree plot

Even if you aren’t really into statistics or factor analysis, I hope that this pattern is pretty clear. You can see that every single thing except for the item related to food loads predominantly on the first factor.

factor patternThe median factor loading was .79, and the factor loadings ranged from .49 to .83 .

These results are interesting in light of the discussion on small sample size. If you didn’t read it, the particular quote in there that is relevant here is

“If components possess four or more variables with loadings above .60, the pattern may be interpreted whatever the sample size used .”

Final Communality Estimates: Total = 5.845142

socialp1 socialp2 socialp3 languagep spiritualp spiritual2 culturep1 culturep2 food
0.67438366 0.72223020 0.64287274 0.80080260 0.34260318 0.46790413 0.70885380 0.69821549 0.78727573

These communality estimates are also relevant but it is nearly 1 am and I have to be up at 6:30 for a conference call, so I’ll ramble on about this some more next time.

First of all, what are parcels? Not the little packages your grandma left on the table in the hall when she came back from shopping. Well, not only that.

In factor analysis, parcels are simply the sum of a small number of items. I prefer using parcels when possible because both basic psychometric theory and common sense tells me that a combination of items will have greater variance and, c.p., greater reliability than a single item.

Just so you know that I learned my share of useless things in graduate school, c.p. is Latin for ceteris paribus which translates to “other things being equal”. The word “etcetera”  meaning other things, has the same root.

Know you know. But I digress. Even more than usual. Back to parcels.

As parcels can be expected to have greater variance and greater reliability, harking back to our deep knowledge of both correlation and test theory we can assume that parcels would tend to have higher correlations than individual items. As factor loadings are simply correlations of a variable (be it item or parcel) with the factor, we would assume that  – there’s that c.p. again – factor loadings of parcels would be higher.

Jeremy Anglim, in a post written several years ago, talks a bit about parceling and concludes that it is less of a problem in a case, like today, where one is trying to determine the number of factors. Actually, he was talking about confirmatory factor analysis but I just wanted you to see that I read other people’s blogs.

The very best article on parceling was called To Parcel or Not to Parcel and I don’t say that just because I took several statistics courses from one of the authors.

 

To recap this post and the last one:

I have a small sample size and due to the unique nature of a very small population it is not feasible to increase it by much.I need to reduce the number of items to an acceptable subject to variables ratio. The communality estimates are quite high (over .6) for the parcels. My primary interest is in the number of factors in the measure and finding an interpretable factor.

So… here we go. The person who provided me the data set went in and helpfully renamed the items that were supposed to measure socializing with people of the same culture ‘social1’, ‘social2’ etc, and renamed the items on language, spirituality, etc. similarly. I also had the original measure that gave me the actual text of each item.

Step 1: Correlation analysis

This was super-simple. All you need is a LIBNAME statement that references the location of your data and then:

PROC CORR DATA = mydataset ;

VAR  firstvar — lastvar ;

In my case, it looked like this

PROC CORR DATA = in.culture ;

VAR social1 — art ;

The double dashes are interpreted as ‘all of the variables in the data set located from var1 to var2 ‘ . This saves you typing if you know all of your variables of interest are in sequence. I could have just used a single dash if they were named the same, like item1 – item17 , and  then it would have used all of the variables named that regardless of their location in the data set. The problem I run into there is knowing what exactly item12 is supposed to measure. We could discuss this, but we won’t. Back to parcels.

Since you want to put together items that are both conceptually related and empirically – that is, the things you think should correlate do- you first want to look at the correlations.

Step 2: Create parcels

The items that were expected to assess similar factors tended to correlate from .42 to .67 with one another. I put these together in a ver simple data step.

data parcels ;
set out.factors ;
socialp1 = social1 + social5 ;
socialp2 = social4 + social3 ;
socialp3 = social2 + social6 + social7 ;
languagep = language2 + language1 ;
spiritualp = spiritual1 + spiritual4 ;
culturep1 = social2 + dance + total;
culturep2 = language3 + art ;

There was one item that asked how often the respondent ate food from the culture, and that didn’t seem to have a justifiable reason for putting with any other item in the measure.

Step 3: Conduct factor analysis

This was also super-simple to code. It is simply

proc factor data= parcels rotate= varimax scree ;
Var socialp1 – socialp3 languagep spiritualp spiritual2 culturep1 culturep2  ;

I actually did this twice, once with and once without the food item. Since it loaded by itself on a separate factor, I did not include it in the second analysis. Both factor analyses yielded two factors that every item but the food item loaded on. It was a very nice simple structure.

Since I have to get back to work at my day job making video games, though, that will have to wait until the next post, probably on Monday.

—–

Be more than ordinary. Take a break. Play Forgotten Trail. I bet you have a computer!

characters traveling on map

Learn and have fun. More productive than fruit crush, candy ninja or whatever the heck else it is you or your kids are playing.

Someone handed me a data set on acculturation that they had collected from a small sample size of 25 people. There was a good reason that the sample was small – think African-American presidents of companies over $100 million in sales or Latina neurosurgeons. Anyway, small sample, can’t reasonably expect to get 500 or 1,000 people.

The first thing I thought about was whether there was a valid argument for a minimum sample size for factor analysis. I came across this very interesting post by Nathan Zhao where he reviews the research on both a minimum sample size and a minimum subjects to variables ratio.

Since I did the public service of reading it so you don’t have to, (though seriously, it was an easy read and interesting), I will summarize:

  1. There is no evidence for any absolute minimum number, be it 100, 500 or 1,000.
  2. The minimum sample size depends on the number of variables and the communality estimates for those variables
  3. “If components possess four or more variables with loadings above .60, the pattern may be interpreted whatever the sample size used .”
  4. There should be at least three measured variables per factor and preferably more.

This makes a lot of sense if you think about factor loadings in terms of what they are, correlations of an item with a factor. With correlations, if you have a very large correlation in the population, you’re going to find statistical significance even with a small sample size. It may not be precisely as large as your population correlation, but it is still going to be significantly different than zero.

So … this data set of 25 respondents that I received originally had 17 items. That seemed clearly too many for me.  I thought there were two factors, so I wanted to reduce the number of variables down to 8, if possible. I also suspected the communality estimates would be pretty high, just based on previous research with this measure.

Here is what I did next :

  • Parceled
  • Parallel analysis
  • Factor Analysis

I can’t believe I haven’t written at all on parceling before and hardly any on the parallel analysis criterion, given the length of time I’ve been doing this blog. I will remedy that deficit this week. Not tonight, though. It’s past midnight, so that will have to wait until the next post.

Update: read post on parcels and the PROC FACTOR code here

—-

My day job is making games that make you smarter. Check out our latest game, Forgotten Trail. Runs on Mac or Windows in any browser. Be more than ordinary.

People on farm

At first, I was thinking it wasn’t right to have a favorite paper, but then I realized that was idiotic. It’s not like these papers (or their presenters) are my children.

My favorite paper was,

Statistical modeling for large complex data: Five new directions from SAS/STAT software

If you’re not a statistician, props to you for reading after that first sentence, especially since some of the lessons apply to any conference.

glm select

  1. You don’t always have to present or attend presentations on whatever is shiny and new. The techniques he presented, like GLMSELECT, a method for selecting the best model is not brand new. I remember when it was first added to SAS/STAT and thinking it was a way cool idea I should use – but, then, I didn’t. As you can see from the graph above, it can be pretty easy to select the best model. Looks a lot like a scree plot, doesn’t it?  This also further supports my point that visual displays of data, like the one above, are everywhere and taking over. Now that I have been reminded of its existence, I’m looking for a use for it so I can really remember it. Unfortunately, this is a method for general linear models and what I am most interested in right now has a binomial outcome, whether a player finished a game or not.
  2. Don’t stop learning when you go home. I remembered that there was also an example in this paper that used HPGENSELECT for generalized linear models, including binomial distributions. So, I am going to try that out with this dataset. One of the areas where I am improving is actually reading all of those papers I mean to get around to when I get home. Whether it is a paper you attended, but is now jumbled around in your brain with the other 25 sessions, or one you could not attend because it conflicted with something else, when you get home, you should read it. Conferences can be expensive and you want to get the most out of that time and money you spent.
  3. Of course, I learned about sparse regression, quantile regression, classification and regression trees and more, which you can, too if you follow my advice from #2.

Okay, well there is a lot more to say about SAS Global Forum and my adventures with HPGENSELECT but we have a new game, Forgotten Trail, coming out for sale tomorrow, so back to work.

———-

7 GENERATION GAMES

Sam and Angie planning their journey

BETTER GAMES, BETTER MATH

 

The nice thing about going to SAS Global Forum is that it’s the gift that keeps on giving. Long after I have gone home, there are still points to ponder.

Visual analytics is big and not just in the sense of there is a product out called that which I have never used but that every presentation, no matter how ‘tech-y’ now makes very effective use of graphics. If I was the type of person to say I told you so, I would mention that I predicted this six years ago after I went to SAS Global Forum in 2010.

In my last post, I mentioned the propensity score graphic with mustaches.

Richard Culter’s presentation on PROC HPSPLIT, which was really excellent, made extensive use of graphics to illustrate fairly complex models.

Nodes in subtree

You can create classification and regression trees (the model you can’t see in this tiny graphic on the left) and you can drill down into sub-trees for further analysis.

Sometimes your classification tree is very easily interpretable. For example, in this case here from the same presentation, each split represents a different type of vegetation/ land surface – water,  two different species of tree, etc.

Classification tree

Speaking of classification, regression and PROC HPSPLIT ….

If you didn’t know, now you know

PROC HPSPLIT is a high performance procedure for fitting and classification now available in SAS/STAT which is useful for data sets where relationships are non-linear. It produces classification and regression trees, includes options for pruning trees and a whole lot more. It is now available on a single computer, not limited to high performance computing clusters. So, yay!

A regression tree is what you get when your dependent variable is continuous, and a classification tree when it is categorical, as in the vegetation example above.

On a semi-related note, graphics can even be used to show when a data set is not suited to a linear model as in the example below, also from Cutler’s presentation. You can see that all of the 1’s are in two quadrants and all of the 0’s in two other quadrants. Yes, you COULD use a regression line to fit this but that is not the best fit of the data.

Also, on a related topic that visualizing data, like all of statistics, really, is a process of iterations, I think this would be more obvious if the quadrants were color coded.


classify

I have a lot more to say on this but I am in North Dakota speaking at the ND STEM conference this weekend and a  kind soul gave me tickets to the hockey game in the president’s box, so, peace, I’m out.

If you did not go to SAS Global Forum this week, here are some things you missed:

Me, rambling on about the 13 techniques all biostatisticians should know, including the answer to:

If McNemar and Kappa are both statistics for handling correlated, categorical data, how can they give you completely different results?

The answer is that the two test different hypotheses, apply different formula and are coded differently.

McNemar tests whether the marginal probabilities are the same. For example, when you switched your patients from drug one to drug two, was there a decrease in the number who experienced side effects? These are correlated data because they are the same people. Can’t get much more correlated than that.

Kappa tests whether the level of agreement of two raters is greater than would be expected by chance. I’ve rambled on it here before, using it to test the level of agreement that our 7 Generation Games raters have when scoring the pretest and post-test we use to assess whether kids are improving as a result of playing our games. Quick answer: Yes.

You also missed Lucy D’Agostino McGowan’s talk on propensity score matching integrating SAS and R.

Random notes from that presentation:

Why would you want to do this? Well, it would be lovely if you could do a randomized control trial and sending your subjects randomly off to treatment or control group.

However, what if your subjects tell you to drop dead they’re not going to be in your stupid treatment group?

In my experience, propensity scores have been commonly used when evaluating special programs that do not randomly receive patients. For example, patients sent to an Intensive Care Unit tend to be sicker than non-ICU patients. How then, do you decide if an ICU has any benefit when people in it are more likely to die?

Observational studies can use propensity scores to get a more unbiased estimate of treatment effects.

Propensity score matching assumes

  1. That there are no unmeasured confounders
  2. Every subject has a non-zero probability of receiving treatment.

Propensity scores are simply predicted values from a logistic regression predicting treatment

Useful rule of thumb:
Use caliper of .2 * pooled standard deviation

Only match people from treatment group to control group if their distance is within the caliper.

Also, I have slide envy because she thought to use mustaches and fedoras in illustrating propensity scores.

Propensity Scores with mustaches

Also with really cool slides I was not quick enough to take a picture before he moved on …

Using Custom Tasks with In-memory statistics and SAS Studio by Steve Ludlow

I was able to find the slides from a related presentation he give in the UK last year. I linked to that one because it gave a little more detail on what SAS in-memory statistics is, how to use it and examples. If you had gone to his presentation, you probably would have wanted to learn more about this proc imstat and custom tasks of which he speaks.

Three points you might have come away with:

  1. Creating custom tasks is really easy
  2. Custom tasks could be really useful for teams sharing a large data base. Say, for example, you are on a longitudinal project study development of at-risk youth from age 12-25. You might have all kinds of people doing similar analyses, maybe looking at predictors of high school dropout, say. You could save your task and re-run it with next year’s data, only for females or in a hundred other ways.
  3. Custom tasks could be super-useful for teaching. Have the students run and inspect tasks you create and then modify these for their own analyses.

Fish lake woman

Okay, off to more sessions. Just a reminder, if you are here and feeling guilt that you left your children/ grandchildren at home, you can buy Fish Lake or Spirit Lake for them to play while you are gone. They’ll get smarter and you will get brownie points from their mom / dad / teacher .

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