Also see SPSS Moderation Regression Tutorial.

- Regression with Moderation Effect
- Downloading and Installing the Mean Centering Tool
- Using the Mean Centering Tool
- Mean Centering Tool - Results

A sports doctor wants to know if and how training and age relate to body muscle percentage. His data on 243 male patients are in muscle-percent-males.sav, part of which is shown below.

## Regression with Moderation Effect

The basic way to go with these data is to run multiple regression with age and training hours as predictors. However, our doctor expects a **moderation interaction** effect between age and training. Precisely, he believes that
the effect of training on muscle percentage diminishes with age.
The diagram below illustrates the basic idea.

The moderation effect can be tested by creating a new variable that represents this interaction effect. We'll do just that in 3 steps:

- mean center both predictors: subtract the variable means from all individual scores. This results in centered predictors having zero means.
- compute the interaction predictor as the product of the mean centered predictors;
- run a multiple regression analysis with 3 predictors: the mean centered predictors and the interaction predictor.

Steps 1 and 2 can be done with basic syntax as covered in How to Mean Center Predictors in SPSS? However, we'll present a simple tool below that does these steps for you.

## Downloading and Installing the Mean Centering Tool

First off, you need SPSS with the SPSS-Python-Essentials for installing this tool. The tool is downloadable from SPSS_TUTORIALS_MEAN_CENTER.spe.

After downloading it, open SPSS and navigate to
as shown below.

For older SPSS versions, try You may need to run SPSS as an administrator (by right-clicking its desktop shortcut) in order to install any tools.

## Using the Mean Centering Tool

First open some data such as muscle-percent-males.sav. After installing the mean centering tool, you'll find it in the menu.

This opens a dialog as shown below. Note that string variables don't show up here: these need to be converted to numeric variable before they can be mean centered.

Variable names for the centered predictors consist of a prefix + the original variable names. In this example, mean centered age and thours will be named cent_age and cent_thours.

Optionally, create new variables holding all 2-way interaction effects among the centered predictors. For 2 predictors, this results in only 1 interaction predictor.

Clicking results in the syntax below. Let's run it.

***Mean center 2 variables, compute 1 interaction effect and print a checktable.**

SPSS_TUTORIALS_MEAN_CENTER VARIABLES = "age thours"

/OPTIONS PREFIX = cent_ CHECKTABLE INTERACTIONS.

## Mean Centering Tool - Results

In variable view, note that 3 new variables have been created (and labeled). Precisely these 3 variables should be entered as predictors into our regression model.

If a checktable was requested, you'll find a basic **Descriptive Statistics** table in the output window.

Note that the mean centered predictors have exactly zero means. Their standard deviations, however, are left unaltered by the mean centering -which is precisely how this procedure differs from computing z-scores.

Right, so that'll do for our mean centering tool. We'll cover a regression analysis with a moderation interaction effect in 1 or 2 weeks or so.

Thanks for reading!

## THIS TUTORIAL HAS 40 COMMENTS:

## By Ruben Geert van den Berg on January 24th, 2015

The mean center Custom Dialog

isan .spd file. Try downloading it again from this link.If that still doesn't work, I'll send the .spd file to you by email if that's ok with you, ok?

HTH,

Ruben

## By Manu on January 24th, 2015

Thanks! Much appreciated.

## By Stephanie on February 3rd, 2015

Hi! I seem to have the same problem as Denise. I use SPSS 22 and when I try to use the macro clicking on ok (instead of clicking on paste) I always get the "IndexError: list index out of range". When I click on paste instead, it says that SPSS does not recognize the first word of the syntax so it stops. Thank you for your help!

## By Ruben Geert van den Berg on February 3rd, 2015

Dear Stephanie,

This is one of the older tools and I believe its syntax is more complex than necessary. I'll look into it tomorrow morning and I'll probably rewrite it from scratch. If you'd like me to send you an email if a new version is available, let me know and I'll do so.

## By Stephanie on February 3rd, 2015

Thank you so much for your fast response! I would really appreciate it if you could send it to me please. I need to center a lot of variables before I can do anything else...