Independent Samples T-Test in SPSS

How to Perform an Independent Samples T-Test in SPSS | Detailed English Guide

How to Perform an Independent Samples T-Test in SPSS

Detailed Guide for Comparing Two Teaching Methods

Introduction to SPSS Independent Samples T-Test

The Independent Samples T-Test is a powerful statistical test that allows comparison between two different groups. In this tutorial, we will learn how to perform an Independent Samples T-Test using SPSS software and explain it with a practical example.

Example Scenario

Suppose we are conducting a study in which we want to check the effect of two different teaching methods (Method A and Method B) on students’ test scores.

Data Details

  • Dependent Variable: Test Score (Continuous variable, in the form of marks)
  • Independent Variable: Teaching Method (Categorical variable, with two groups: Method A, Method B)

Our data looks something like this:

Method A Method B
85 78
90 80
88 82
92 79
87 81

Now we will perform the Independent Samples T-Test in SPSS and check whether there is a significant difference in test scores between these teaching methods.

1 Data Entry in SPSS

  1. Open SPSS: Launch the SPSS software and create a new dataset.
  2. Define Variables:
    • Variable 1: Test_Score (Type: Numeric, Label: Test Score)
    • Variable 2: Teaching_Method (Type: Numeric, Label: Teaching Method, Values: 1 = Method A, 2 = Method B)
  3. Enter Data:
    • Enter the scores given above in the Test_Score column.
    • In the Teaching_Method column, enter the code (1 or 2) corresponding to each score’s method.
Test_Score Teaching_Method 85 1 90 1 88 1 92 1 87 1 78 2 80 2 82 2 79 2 81 2

The above shows how the Data View in SPSS will look.

2 Performing the Independent Samples T-Test

  1. Go to Menu:
    • In the SPSS menu bar, click on Analyze > Compare Means > Independent-Samples T Test.
  2. Select Variables:
    • The Independent-Samples T Test dialog box will open.
    • Move Test_Score to the Test Variable(s) box (click and use the right arrow).
    • Move Teaching_Method to the Grouping Variable box.
  3. Define Groups:
    • Click on the Define Groups button.
    • Enter 1 (Method A) for Group 1 and 2 (Method B) for Group 2.
    • Click Continue.
  4. Set Options:
    • Click on the Options button.
    • Keep the Confidence Interval Percentage at 95% (default).
    • Missing Values: “Exclude cases analysis by analysis” should be selected.
    • Click Continue.
  5. Click OK:
    • After confirming all settings, click OK.
    • The results will appear in the SPSS Output window.

3 Analyzing the Output

The SPSS output will show two main tables. We will understand them:

Group Statistics Table

This table shows the mean, standard deviation, and sample size for both groups.

Teaching_Method N Mean Std. Deviation Std. Error Mean Method A 5 88.40 2.701 1.208 Method B 5 80.00 1.581 0.707

Interpretation: The mean score for Method A (88.40) is higher than Method B (80.00).

Independent Samples Test Table

This table shows the T-Test results and significance.

It has two rows:

  • Equal variances assumed: When variances are equal in both groups.
  • Equal variances not assumed: When variances are not equal.
Levene’s Test for Equality of Variances t-test for Equality of Means F Sig. t df Sig. (2-tailed) Mean Difference Std. Error Difference Equal variances assumed 0.762 0.409 4.873 8 0.001 8.400 1.724 Equal variances not assumed 4.873 6.779 0.002 8.400 1.724

Interpretation:

  1. Levene’s Test: Levene’s Test checks the equality of variances. Here Sig. = 0.409 (> 0.05), so we assume variances are equal. Therefore, we will use the Equal variances assumed row.
  2. T-Test Result:
    • t-value = 4.873, degrees of freedom (df) = 8, p-value (Sig. 2-tailed) = 0.001.
    • p-value (0.001) < 0.05, so the null hypothesis (that the means of both groups are equal) is rejected.
    • Mean Difference: Method A scores are on average 8.400 points higher than Method B.

Conclusion: There is a statistically significant difference in test scores between Teaching Method A and Method B.

4 Reporting Results (in APA Style)

To report results in APA format, you can write:

An Independent Samples T-Test revealed that test scores for Method A (M = 88.40, SD = 2.70) were statistically significantly higher than those for Method B (M = 80.00, SD = 1.58), t(8) = 4.873, p = 0.001, d = 3.45.

Note: Cohen’s d (effect size) needs to be calculated manually or estimated from SPSS output. In this case, d = (88.40 – 80.00) / pooled SD ≈ 3.45, which indicates a large effect size.

Checking T-Test Assumptions

It is essential to check some assumptions for the Independent Samples T-Test:

  1. The dependent variable should be continuous: Test scores are continuous, so this assumption is met.
  2. The independent variable should be categorical: Teaching method is categorical (2 groups), so this is also met.
  3. Independence of observations: Each student’s score is independent, so this assumption is met.
  4. No significant outliers: Check using a boxplot (Graphs > Chart Builder > Boxplot). If there are no extreme values, the assumption is met.
  5. Normality: Check using the Shapiro-Wilk test (Analyze > Descriptive Statistics > Explore > Plots > Normality plots with tests). If p > 0.05, the data is approximately normal.
  6. Homogeneity of variances: Already checked with Levene’s Test (Sig. > 0.05).

Note: If any assumption is violated, you can use Welch’s T-Test in SPSS (Equal variances not assumed row) or a non-parametric test like the Mann-Whitney U Test.

Suggestions and Tips

  • Data Backup: Always keep a backup of your data.
  • Save Syntax: Learn to save syntax in SPSS so you can rerun the same analysis.
  • Visualize Results: Create boxplots or bar graphs (Graphs > Chart Builder) to make results visually clear.
  • Practice: Practice with different datasets to understand SPSS features.

Conclusion

In this SPSS Independent Samples T-Test tutorial, we learned how to:

  • Enter data and set up variables in SPSS
  • Perform an Independent Samples T-Test
  • Interpret results
  • Understand Levene’s Test and t-test
  • Check assumptions for the T-Test
  • Report findings in APA style

Based on the example of the effect of teaching methods, we found that Method A (mean score 88.40) was significantly more effective than Method B (mean score 80.00). Additionally, a large effect size (d = 3.45) indicates that this difference was not only statistically significant but also substantially large.

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