Levene’s test of equality of variances shows: 1. The result is significant, so the variances are equal2. The result is significant, so the variances are unequal3. The result is nonsignificant, so the variances are equal4. The result is nonsignificant, so the variances are unequalFrom the results, what might you conclude about the use of the t test? 1. Since the variances are equal, the assumption of equal variances is met2. Since the variances are equal, the assumption of equal variances is not met3. Since the variances are unequal, the assumption of equal variances is met4. Since the variances are unequal, the assumption of equal variances is not met Group StatisticsStd. ErrorGenderNMeanStd. DeviationMeanMath AchievementMale44351.290612.72363.60452Female55650.446911.91780.50543Independent Samples TestLevene's Test for Equality ofVariancest-test for Equality of Means95% Confidence Interval of theSignificanceDifferenceMeanDifferenceStd. ErrorFSig.tdfOne-Sided pTwo-Sided pDifferenceLowerUpperMath AchievementEqual variances2.493.1151.079997.140.281.8437678216-.691112.37864assumedEqual variances not1.071918.491.142.285.84376.78797-.702672.39020assumedIndependent Samples Effect Sizes95% Confidence IntervalPointStandardizeraEstimateLowerUpperMath AchievementCohen's d12.28157.069-.056.194Hedges' correction12.29082.069-.056.193Glass's delta11.91780.071-.054.196a. 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.

Answered: Levene’s test of equality of variances…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Levene’s test of equality of variances shows:

1. The result is significant, so the variances are equal

2. The result is significant, so the variances are unequal

3. The result is nonsignificant, so the variances are equal

4. The result is nonsignificant, so the variances are unequal

From the results, what might you conclude about the use of the t test?

1. Since the variances are equal, the assumption of equal variances is met

2. Since the variances are equal, the assumption of equal variances is not met

3. Since the variances are unequal, the assumption of equal variances is met

4. Since the variances are unequal, the assumption of equal variances is not met

Group Statistics
Std. Error
Gender
N
Mean
Std. Deviation
Mean
Math Achievement
Male
443
51.2906
12.72363
.60452
Female
556
50.4469
11.91780
.50543
Independent Samples Test
Levene's Test for Equality of
Variances
t-test for Equality of Means
95% Confidence Interval of the
Significance
Difference
Mean
Difference
Std. Error
F
Sig.
t
df
One-Sided p
Two-Sided p
Difference
Lower
Upper
Math Achievement
Equal variances
2.493
.115
1.079
997
.140
.281
.84376
78216
-.69111
2.37864
assumed
Equal variances not
1.071
918.491
.142
.285
.84376
.78797
-.70267
2.39020
assumed
Independent Samples Effect Sizes
95% Confidence Interval
Point
Standardizera
Estimate
Lower
Upper
Math Achievement
Cohen's d
12.28157
.069
-.056
.194
Hedges' correction
12.29082
.069
-.056
.193
Glass's delta
11.91780
.071
-.054
.196
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.

Expert Solution

Step 1

Introduction -

Levene's test is an inferential statistics used to assess the equality of variances for a variable calculated for two or more groups . it test the null hypothesis that the population variances are equal .

T-statistic - It is a type of inferential statistic used to determine if there is a significant difference between the means of two groups , which may be related in certain features .