Is there a significant difference between age groups in math achievement? 1. Yes, p < .05 2. Yes, p < .01 3. Yes, p < .001   4. Yes, p < .000   5. No, p > .05

MATLAB: An Introduction with Applications
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Is there a significant difference between age groups in math achievement?

1. Yes, p < .05

2. Yes, p < .01

3. Yes, p < .001
 
4. Yes, p < .000
 
5. No, p > .05
Group Statistics
Std. Error
Age in Years
N
Mean
Std. Deviation
Mean
Math Achievement
Lower than 13
556
50.7216
12.10574
.51340
Higher than 14
12.51362
.59454
443
50.9457
Independent Samples Test
Levene's Test for Equality of
Variances
t-test for Equality of Means
95% Confidence Interval of the
Difference
Significance
Mean
Std. Error
Sig.
t
df
One-Sided p
Two-Sided p
Difference
Difference
Lower
Upper
Math Achievement
Equal variances
.671
.413
-.286
997
.387
.775
-.22410
.78259
-1.75981
1.31160
assumed
Equal variances not
assumed
-.285
933.546
.388
.775
-.22410
.78553
-1.76571
1.31750
Independent Samples Effect Sizes
95% Confidence Interval
Point
Estimate
Standardizer
Lower
Upper
Math Achievement
Cohen's d
12.28823
-.018
-.143
.107
Hedges' correction
12.29749
-.018
-.143
.107
Glass's delta
12.51362
-.018
-143
.107
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.
Transcribed Image Text:Group Statistics Std. Error Age in Years N Mean Std. Deviation Mean Math Achievement Lower than 13 556 50.7216 12.10574 .51340 Higher than 14 12.51362 .59454 443 50.9457 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Significance Mean Std. Error Sig. t df One-Sided p Two-Sided p Difference Difference Lower Upper Math Achievement Equal variances .671 .413 -.286 997 .387 .775 -.22410 .78259 -1.75981 1.31160 assumed Equal variances not assumed -.285 933.546 .388 .775 -.22410 .78553 -1.76571 1.31750 Independent Samples Effect Sizes 95% Confidence Interval Point Estimate Standardizer Lower Upper Math Achievement Cohen's d 12.28823 -.018 -.143 .107 Hedges' correction 12.29749 -.018 -.143 .107 Glass's delta 12.51362 -.018 -143 .107 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.
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