Sample Size and Women

Independent T-Test for Lower Level of Depression

T-Test

[DataSet1] C:UsersucerDesktopPolit2SetC.sav

Group Statistics

Currently employed?

Mean

Deviation

Error Mean

CES-D Score

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

df

Sig. (2-tailed)

Mean Difference

Error Difference

95% Confidence Interval of the Difference

Lower

Upper

CES-D Score

Equal variances assumed

Equal variances not assumed

The total sample size is 960. Out of the sample size, 524 women are unemployed versus 436 women are employed. The standard deviation of each group is 12.46 for unemployed women and 15.82 for employed women. The significant level of the two variables is 0.000 less than .05 showing that there is no statistically significant difference between them showing that there is no statistical difference between their means. Since the Sig is < .05, the study agrees that Equal variances not assumed. The value of the t statistic is 6,825 and p-value is 0.000, and number of degrees of freedom is .74326 and .72949. (Kent State University, 2016).

PART II

T-TEST PAIRS=cesd WITH cesdwav1 (PAIRED)

/CRITERIA=CI (.9500)

/MISSING=ANALYSIS.

T-Test

[DataSet1] C:UsersucerDesktopPolit2SetC.sav

Paired Samples Statistics

Mean

N

Std. Deviation

Std. Error Mean

Pair 1

CES-D Score

18,5516

11,87462

,94770

CESD Score, Wave 1

17,8344

11,49908

,91773

Paired Samples Correlations

N

Correlation

Sig.

Pair 1

CES-D Score & CESD Score, Wave 1

,412

,000

Paired Samples Test

Paired Differences

t

df

Sig. (2-tailed)

Mean

Std. Deviation

Std. Error Mean

95% Confidence Interval of the Difference

Lower

Upper

Pair 1

CES-D Score - CESD Score, Wave 1

,71718

12,67921

1,01191

-1,28164

2,71599

,709

,480

The total sample size is 157. The standard deviation for the (SD) CES-D scores at Wave and Wave 2 are 11.87 and 11.49 respectively.

The mean difference between the two time periods is 0.7172. The value of t-statistic is .709, the number of degree of freedom is 1.0119 and the p-value (sig) is .480. The data support the hypothesis because p-value is greater that 0.05.

Part III

T-TEST GROUPS=educatn (1 2)

/MISSING=ANALYSIS

/VARIABLES=cesd sf12phys sf12ment

/CRITERIA=CI (.95).

T-Test

[DataSet1] C:UsersucerDesktopPolit2SetC.sav

Group Statistics

Educational attainment

N

Mean

Std. Deviation

Std. Error Mean

CES-D Score

No high school diploma

20,1408

11,49986

,54031

Diploma or GED

17,5931

11,72389

,53793

SF12: Physical Health Component Score, standardized

No high school diploma

44,03546

10,781420

,525454

Diploma or GED

46,27713

10,597265

,505205

SF12: Mental Health Component Score, standardized

No high school diploma

45,70217

10,693544

,521171

Diploma or GED

47,48328

10,895127

,519405

Independent Samples Test

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

95% Confidence Interval of the Difference

Lower

Upper

CES-D Score

Equal variances assumed

,228

,633

3,340

,001

2,54776

,76278

1,05078

4,04474

Equal variances not assumed

3,342

925,265

,001

2,54776

,76243

1,05146

4,04406

SF12: Physical Health Component Score, standardized

Equal variances assumed

1,106

,293

-3,076

,002

-2,241671

,728649

-3,671812

-,811529

Equal variances not assumed

-3,075

855,772

,002

-2,241671

,728927

-3,672364

-,810977

SF12: Mental Health Component Score, standardized

Equal variances assumed

,174

,677

-2,420

,016

-1,781113

,736103

-3,225884

-,336341

Equal variances not assumed

-2,421

858,441

,016

-1,781113

,735800

-3,225290

-,336936

The sample size is 2,650. The overall mean is 219.21. The overall SD is 66.16 and Std Error Mean is 3.12. The p-value of physical health component is less than 0.05 showing that the Equal variances not assumed. However, a p-value of Mental Health Component is more than 0.05 revealing that the Equal variances are assumed. The number of degree of freedom is between .72 and .76.

Oneway

Descriptives

Overall satisfaction, material well-being

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

No Housing Problem

12.71

2.353

.123

12.47

12.95

4

16

One Housing Problem

11.97

2.588

.159

11.66

12.28

4

16

Two or More Housing Problems

10.57

2.594

.149

10.28

10.86

4

16

Total

11.80

2.658

.087

11.63

11.97

4

16

Test of Homogeneity of Variances

Overall satisfaction, material well-being

Levene Statistic

df1

df2

Sig.

2.109

2

.122

ANOVA

Overall satisfaction, material well-being

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

2

61.674

.000

Within Groups

6.251

Total

Post Hoc Tests

Multiple Comparisons

Dependent Variable: Overall satisfaction, material well-being

Tukey HSD

(I) Housing Problems

(J) Housing Problems

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

No Housing Problem

One Housing Problem

.739*

.202

.001

.27

1.21

Two or More Housing Problems

2.139*

.194

.000

1.68

2.59

One Housing Problem

No Housing Problem

-.739*

.202

.001

-1.21

-.27

Two or More Housing Problems

1.401*

.210

.000

.91

1.89

Two or More Housing Problems

No Housing Problem

-2.139*

.194

.000

-2.59

-1.68

One Housing Problem

-1.401*

.210

.000

-1.89

-.91

*. The mean difference is significant at the 0.05 level.

Homogeneous Subsets

Overall satisfaction, material well-being

Tukey HSDa, b

Housing Problems

N

Subset for alpha = 0.05

1

2

3

Two or More Housing Problems

10.57

One Housing Problem

11.97

No Housing Problem

12.71

Sig.

1.000

1.000

1.000

Means for groups in homogeneous subsets are displayed.

a. Uses Harmonic Mean Sample Size = 306,055.

b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.

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