Group Statistics Std. Error Mean Age in Years N Mean Std. Deviation Math Achievement Lower than 13 553 50.6799 12.08868 51406 Higher than 14 443 50.9457 12.51362 59454 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Significance Mean Difference Std. Error Difference Sig. df One-Sided p Two-Sided p Lower Upper Math Achievement Equal variances .770 381 -.340 994 367 734 -.26585 .78297 -1.80231 1.27061 assumed Equal variances not assumed - 338 932.565 .368 735 -26585 78596 -1.80831 1.27661 Independent Samples Effect Sizes 95% Confidence Interval Standardizer Point Estimate Lower Upper Math Achievement Cohen's d 12.27945 -.022 -147 .103 Hedges' correction 12.28873 -022 -147 .103 Glass's delta 12.51362 -.021 -146 .104 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's delta uses the sample standard deviation of the control group.
Group Statistics Std. Error Mean Age in Years N Mean Std. Deviation Math Achievement Lower than 13 553 50.6799 12.08868 51406 Higher than 14 443 50.9457 12.51362 59454 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Significance Mean Difference Std. Error Difference Sig. df One-Sided p Two-Sided p Lower Upper Math Achievement Equal variances .770 381 -.340 994 367 734 -.26585 .78297 -1.80231 1.27061 assumed Equal variances not assumed - 338 932.565 .368 735 -26585 78596 -1.80831 1.27661 Independent Samples Effect Sizes 95% Confidence Interval Standardizer Point Estimate Lower Upper Math Achievement Cohen's d 12.27945 -.022 -147 .103 Hedges' correction 12.28873 -022 -147 .103 Glass's delta 12.51362 -.021 -146 .104 a. The denominator used in estimating the effect sizes. Cohen's d uses the pooled standard deviation. Hedges' correction uses the pooled standard deviation, plus a correction factor. Glass's delta uses the sample standard deviation of the control group.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Is there a significant difference between age groups in math achievement?

Transcribed Image Text:**Group Statistics**
- **Math Achievement**
| Age in Years | N | Mean | Std. Deviation | Std. Error Mean |
|-------------------|-----|--------|----------------|-----------------|
| Lower than 13 | 553 | 50.6799 | 12.08868 | 0.51406 |
| Higher than 14 | 443 | 50.9457 | 12.51362 | 0.59444 |
**Independent Samples Test**
- **Levene's Test for Equality of Variances**
| | F | Sig. |
|-------------------------|------|--------|
| Math Achievement | 0.770| 0.381 |
- **t-test for Equality of Means**
| | t | df | Significance | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference |
| | | | One-Sided p | Two-Sided p | | Lower | Upper |
|-------------------------|-------|--------|-------------|----------------|-----------------------|-----------------|-----------------|
| Equal variances assumed | -0.340| 994 | 0.367 | 0.734 | -0.26585 | 0.78297 | -1.80231 | 1.27061 |
| Equal variances not assumed | -0.338| 932.565 | 0.368 | 0.735 | -0.26585 | 0.78596 | -1.80831 | 1.27661 |
**Independent Samples Effect Sizes**
- **Math Achievement**
| Standardizer | Point Estimate | 95% Confidence Interval |
| | | Lower | Upper |
|-----------------------|----------------|-------|------------------|
| **Cohen's d** | 12.27945 | -0.022| 0.147 | 0.103 |
| **Hedges' correction**| 12.28873 | -0.022| 0.147 | 0.103 |
| **Glass's delta** | 12.51362 | -0.021| 0
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