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Statistics for Research - L27 - Analyze, Interpret, & Report Independent Samples T Test in SPSS thumbnail

Statistics for Research - L27 - Analyze, Interpret, & Report Independent Samples T Test in SPSS

Research With Fawad·
4 min read

Based on Research With Fawad's video on YouTube. If you like this content, support the original creators by watching, liking and subscribing to their content.

TL;DR

“Vision” was treated as the dependent variable, while gender (male=1, female=2) served as the grouping variable in an independent-samples t test.

Briefing

An independent-samples t test in SPSS was used to check whether perceptions about “vision” differ between male and female employees. The analysis treated “Vision” as the dependent variable and gender as the grouping variable (male = 1, female = 2), with a non-directional (two-sided) hypothesis because no prior expectation was set about which gender would score higher.

Before comparing group means, the procedure required testing the Levene’s test for equality of variances. The Levene’s test produced a significance value of 0.082, which is greater than 0.05, so equal variances were assumed. With that assumption in place, the results indicated a partially significant difference between male and female respondents on the vision-related perception measure. The t statistic was 1.744, with a two-sided p value reported as 0.082 (and the effect size reported as Cohen’s d ≈ 0.26). The effect size was characterized as small, meaning any gap between groups is modest even though the difference trends in the expected direction.

The group statistics showed males scoring higher than females. For males, the mean was 5.08 with a standard deviation of 1.35. For females, the mean was 4.73 with a standard deviation of 1.43. The difference in means aligns with the direction of the observed effect: male respondents reported higher levels of understanding/communication of vision than female respondents, though the statistical evidence did not reach the conventional 0.05 threshold.

The transcript also emphasized how to report these findings cleanly in a write-up. It recommended including the hypothesis statement, the test description (independent-samples t test), the group means and standard deviations, the Levene’s test decision (equal variances assumed), and the key inferential statistics (t value, degrees of freedom if needed, and the two-sided p value). It further suggested formatting the results into a compact table with only the necessary statistics, avoiding clutter such as one-sided test columns when using a two-sided hypothesis.

Finally, because effect size availability can vary across SPSS versions, the transcript noted that Cohen’s d may require an external calculator in older versions. The workflow described was to input each group’s mean and standard deviation (and the group sizes, if required by the calculator), then compute Cohen’s d for reporting alongside the t test results. Overall, the takeaway is a small, partially significant gender difference in vision-related understanding/communication, with equal variances assumed and males averaging higher scores.

Cornell Notes

The analysis used an independent-samples t test in SPSS to compare “Vision” scores between male and female employees (male=1, female=2). A non-directional, two-sided hypothesis was chosen because there was no prior expectation about which gender would score higher. Levene’s test for equality of variances was non-significant (p = 0.082), so equal variances were assumed. Males had a higher mean (M = 5.08, SD = 1.35) than females (M = 4.73, SD = 1.43). The t test result was partially significant (t = 1.744, two-sided p = 0.082) with a small effect size (Cohen’s d ≈ 0.26), indicating only a modest difference between groups.

Why was a two-sided p value used instead of a one-sided test in this gender comparison?

The hypothesis was non-directional: there was no claim that males would score higher than females or vice versa. Because the direction of the expected difference wasn’t specified, the analysis used the two-sided significance value to test for any difference in either direction.

How does Levene’s test determine which t-test row to report in SPSS?

Levene’s test checks whether the two groups have equal variances. Here, Levene’s p value was 0.082 (> 0.05), so equal variances were assumed. That decision determines which variance assumption line (equal variances assumed) is used for the t statistic and p value.

What were the key descriptive statistics for males and females?

Male respondents had a mean of 5.08 with SD = 1.35. Female respondents had a mean of 4.73 with SD = 1.43. These means show males scoring higher on the vision-related understanding/communication measure.

How should the inferential result be interpreted given p = 0.082 and Cohen’s d ≈ 0.26?

A two-sided p value of 0.082 is above the common 0.05 threshold, so the difference is not conventionally “significant,” but it is described as partially significant/trending. Cohen’s d around 0.26 indicates a small effect size, meaning the practical magnitude of the gender difference is modest.

What information is typically needed to report an independent-samples t test result cleanly?

A clear report includes: the hypothesis/test description (independent-samples t test), the Levene’s test decision (equal variances assumed vs not assumed), group means and standard deviations, the t statistic, and the two-sided p value. The transcript also recommends formatting into a compact table and omitting unnecessary columns (like one-sided tests if not used).

Review Questions

  1. What decision would you make in SPSS if Levene’s test p value were below 0.05, and how would that change which t-test statistics you report?
  2. Given male M = 5.08 (SD = 1.35) and female M = 4.73 (SD = 1.43), what direction of difference does the mean comparison suggest?
  3. If Cohen’s d is small (around 0.26) and p is 0.082, how would you describe both statistical and practical significance?

Key Points

  1. 1

    “Vision” was treated as the dependent variable, while gender (male=1, female=2) served as the grouping variable in an independent-samples t test.

  2. 2

    A two-sided hypothesis was selected because no expectation was set about which gender would score higher.

  3. 3

    Levene’s test for equality of variances returned p = 0.082, so equal variances were assumed.

  4. 4

    Male respondents averaged higher scores (M = 5.08, SD = 1.35) than female respondents (M = 4.73, SD = 1.43).

  5. 5

    The t test result was t = 1.744 with two-sided p = 0.082, described as partially significant rather than conventionally significant.

  6. 6

    Cohen’s d was reported as approximately 0.26, indicating a small effect size.

  7. 7

    For reporting, include only the necessary statistics (group means/SDs, Levene decision, t, and two-sided p) and format them into a clean table.

Highlights

Levene’s test p = 0.082 (> 0.05) justified using the “equal variances assumed” t-test results.
Males scored higher on the vision-related measure (M = 5.08) than females (M = 4.73).
The gender difference showed a small effect size (Cohen’s d ≈ 0.26) and a two-sided p value of 0.082.
The transcript stressed choosing two-sided testing when the hypothesis is non-directional.
Effect size reporting may require an external Cohen’s d calculator in older SPSS versions.

Topics

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