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ANOVA with Repeated Measures using SPSS Statistics

Introduction

An ANOVA with repeated measures is used to compare three or more group means where the participants are the same in each group. This usually occurs in two situations: (1) when participants are measured multiple times to see changes to an intervention; or (2) when participants are subjected to more than one condition/trial and the response to each of these conditions wants to be compared.

For example, you could use a repeated measures ANOVA to understand whether there is a difference in cigarette consumption amongst heavy smokers after a hypnotherapy programme (e.g., with three time points: cigarette consumption immediately before, 1 month after, and 6 months after the hypnotherapy programme). In this example, "cigarette consumption" is your dependent variable, whilst your independent variable is "time" (i.e., with three related groups, where each of the three time points is considered a "related group"). Alternately, you could use a repeated measures ANOVA to understand whether there was a difference in breaking speed in a car based on three different coloured tints of windscreen (e.g., breaking speed under four conditions: no tint, low tint, medium tint and dark tint). In this example, "breaking speed" is your dependent variable, whilst your independent variable is "condition" (i.e., with four related groups, where each of the four conditions is considered a "related group").

Note: Whilst the repeated measures ANOVA is used when you have just "one" independent variable, if you have "two" independent variables (e.g., you measured time and condition), you will need to use a two-way repeated measures ANOVA.

This "quick start" guide shows you how to carry out a repeated measures ANOVA using SPSS Statistics, as well as interpret and report the results from this test. However, before we introduce you to this procedure, you need to understand the different assumptions that your data must meet in order for a repeated measures ANOVA to give you a valid result. We discuss these assumptions next.

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Assumptions

When you choose to analyse your data using a repeated measures ANOVA, part of the process involves checking to make sure that the data you want to analyse can actually be analysed using a repeated measures ANOVA. You need to do this because it is only appropriate to use a repeated measures ANOVA if your data "passes" five assumptions that are required for a repeated measures ANOVA to give you a valid result. In practice, checking for these five assumptions just adds a little bit more time to your analysis, requiring you to click a few more buttons in SPSS Statistics when performing your analysis, as well as think a little bit more about your data, but it is not a difficult task.

Before we introduce you to these five assumptions, do not be surprised if, when analysing your own data using SPSS Statistics, one or more of these assumptions is violated (i.e., is not met). This is not uncommon when working with real-world data rather than textbook examples, which often only show you how to carry out a repeated measures ANOVA when everything goes well! However, don’t worry. Even when your data fails certain assumptions, there is often a solution to overcome this. First, let’s take a look at these five assumptions:

You can check assumptions #3, #4 and #5 using SPSS Statistics. Before doing this, you should make sure that your data meets assumptions #1 and #2, although you don't need SPSS Statistics to do this. Just remember that if you do not run the statistical tests on these assumptions correctly, the results you get when running a repeated measures ANOVA might not be valid. This is why we dedicate a number of sections of our enhanced repeated measures ANOVA guide to help you get this right. You can find out about our enhanced content as a whole on our Features: Overview page, or more specifically, learn how we help with testing assumptions on our Features: Assumptions page.

In the section, Test Procedure of SPSS Statistics, we illustrate the SPSS Statistics procedure to perform a repeated measures ANOVA assuming that no assumptions have been violated. First, we set out the example we use to explain the repeated measures ANOVA procedure in SPSS Statistics.

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Example

Heart disease is one of the largest causes of premature death and it is now known that chronic, low-level inflammation is a cause of heart disease. Exercise is known to have many benefits, including protection against heart disease. A researcher wants to know whether this protection against heart disease might be due to exercise reducing inflammation. The researcher was also curious as to whether this protection might be gained over a short period of time or whether it took longer. In order to investigate this idea, the researcher recruited 20 participants who underwent a 6-month exercise training program. In order to determine whether inflammation had been reduced, the researcher measured the inflammatory marker called CRP at pre-training, 2 weeks into training and after 6 months of training.

In our enhanced repeated measures ANOVA guide, we show you how to correctly enter data in SPSS Statistics to run a repeated measures ANOVA. You can learn about our enhanced data setup content on our Features: Data Setup page. Alternately, see our generic, "quick start" guide: Entering Data in SPSS Statistics.

SPSS Statistics

Test Procedure in SPSS Statistics

The 13 steps below show you how to analyse your data using a repeated measures ANOVA in SPSS Statistics when the five assumptions in the previous section, Assumptions, have not been violated. At the end of these 13 steps, we show you how to interpret the results from this test. If you are looking for help to make sure your data meets assumptions #3, #4 and #5, which are required when using a repeated measures ANOVA and can be tested using SPSS Statistics, you can learn more in our enhanced guides (see our Features: Overview page to learn more).

  1. Click Analyze > General Linear Model > Repeated Measures... on the top menu, as shown below:
    Menu for the one-way repeated measures ANOVA in SPSS Statistics

    Published with written permission from SPSS Statistics, IBM Corporation.

  2. You will be presented with the following screen:
    'Repeated Measures Define Factor(s)' dialogue box. Repeated measures ANOVA in SPSS. 'Within-Subject Factor Name' box at top

    Published with written permission from SPSS Statistics, IBM Corporation.

  3. In the Within-Subject Factor Name: box, replace "factor1" with a name that is more meaningful name for your independent variable. In our example, we will call our independent variable name "time" because it represents the different times that we took CRP measurements from our participants (pre-training, pre + 2 weeks and post-training).

    Enter into the Number of Levels: box the number of times the dependent variable has been measured. In this case, enter "3", representing pre-training, pre + 2 weeks and post-training.

    Click on the Add button.

    Put an appropriate name for your dependent variable in the Measure Name: box. In this case, we have labelled our dependent variable CRP.

    Click on the Add button.

    You will be presented with the screen below:
    'Repeated Measures Define Factor(s)' dialogue box. One-way repeated measures ANOVA in SPSS. 'time(3)' & 'CRP' added

    Published with written permission from SPSS Statistics, IBM Corporation.

  4. Click on the Define button and you will be presented with the following screen:
    'Repeated Measures' dialogue box. Repeated measures ANOVA SPSS. Variables 'Pre_Training', 'Week2' & 'Post_Training' on left

    Published with written permission from SPSS Statistics, IBM Corporation.

  5. Transfer "Pre_Training", "Week2" and "Post_Training" into the Within-Subjects Variables (time): box by either drag-and-dropping or using the Right arrow button. If you make a mistake you can use the Arrow up and Faded arrow down buttons to reorder your variables.
    'Repeated Measures' dialogue box Repeated measures ANOVA SPSS. Variables transferred to 'Within-Subjects Variables(time)' box

    Published with written permission from SPSS Statistics, IBM Corporation.

  6. Click on the Plots button. You will be presented with the following screen:
    'Repeated Measures: Profile Plots' dialogue box. One-way repeated measures ANOVA in SPSS. Variable 'time' on the left

    Published with written permission from SPSS Statistics, IBM Corporation.

  7. Transfer the "time" factor from the Factors: box into the Horizontal Axis: box by either dragging-and-dropping or clicking on the Right arrow button.

    Click on the Add button. You will be presented with the following screen:
    'Repeated Measures: Profile Plots' dialogue box. One-way repeated measures ANOVA in SPSS. 'time' added to 'Plots' box

    Published with written permission from SPSS Statistics, IBM Corporation.

  8. Click on the Continue button.
  9. You will be presented with the following screen:
    'Repeated Measures' dialogue box Repeated measures ANOVA SPSS. Variables transferred to 'Within-Subjects Variables(time)' box

    Published with written permission from SPSS Statistics, IBM Corporation.

Go to the next page for the SPSS Statistics output and an explanation of the output.

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