1 soc 3811 basic social statistics. 2 class overview compare means of two groups assignment 4...

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SOC 3811

Basic Social Statistics

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Class overviewCompare means of two groups

Assignment 4 correction Concept review Two sample t-test: different cases Assignment 5

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Simple regression model

Coefficientsa

15.685 .508 30.871 .000

.609 .038 .337 15.961 .000

(Constant)educ HIGHEST YEAR OFSCHOOL COMPLETED

Model1

B Std. Error

UnstandardizedCoefficients

Beta

StandardizedCoefficients

t Sig.

Dependent Variable: agekdbrn R'S AGE WHEN 1ST CHILD BORNa.

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Interpretation

Education has a positive influence on the respondent’s age when his/her first child was born.

the slop = 0.61 For each additional year of schooling, it

delays when the respondent had his/her first child born by 0.61 year (about 7.3 months).

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Multiple Regression Model

Coefficientsa

16.856 .563 29.926 .000

.495 .045 .270 11.119 .000

1.360 .281 .117 4.831 .000

(Constant)educ HIGHEST YEAR OFSCHOOL COMPLETEDPROF

Model1

B Std. Error


Beta


t Sig.


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Interpretation

Education and Professional type both have positive influence on the age when the respondent’s first child was born.

the slop for Educ = 0.495 the slop for PROF =1.360 Controlling for professional type, every additional

year of schooling delays when the respondent’s first child was born by 0.50 year (about 6 months).

Controlling for education, being in a managerial position delays when the respondent’s first child was born by 1.36 year (about 1 year and 4months).

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Multiple Regression Model with Interaction term

Coefficientsa

17.158 .686 25.021 .000

.471 .055 .257 8.594 .000

.331 1.363 .029 .243 .808

.073 .094 .097 .772 .440

(Constant)educ HIGHEST YEAR OFSCHOOL COMPLETEDPROFEDUPROF

Model1

B Std. Error


Beta


t Sig.


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Interpretation

No interaction effect based on this data.

Being in a managerial position does not mediate the influence of education on the respondent’s age when the first child was born.

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Independent samples T-test

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F-test

Ho: variances are equal Ha: variances are not equal

If Sig. (p value)>.05 → can’t reject Ho (variances are equal) If Sig. (p value)≤.05 → reject Ho

(variances are not equal)

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ˆ

ˆ

F

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T-test

Ho:

Ha:

Calculating z/t score:

(note: the formula of is different for cases)

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021

021

}{**

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21

yyse

yytz

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Calculating z/t :

For any two means, the difference will also fall in a certain range. We can guess the range in which it typically falls

one-tail test two-tail test

}{*

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yyse

yyz

-1.645 -1.96 1.96

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Dependent samples T test

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95% Confidence Interval

If 95% C.I. captures the null value (0) → can’t reject the null hypothesis

If 95% C.I. doesn’t capture the null value (0) → reject the null hypothesis

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Example 1

Group Statistics

552 3.22 2.622 .112

687 3.61 2.776 .106

sex RESPONDENTS SEX1 MALE

2 FEMALE

relactiv HOW OFTENDOES R TAKE PARTIN RELIG ACTIVITIES

N Mean Std. DeviationStd. Error Mean

Independent Samples Test

4.693 .030 -2.545 1237 .011 -.394 .155 -.698 -.090

-2.561 1205.187 .011 -.394 .154 -.696 -.092

Equal variances assumed

Equal variances not assumed


F Sig.

Levene's Test for Equalityof Variances

t df Sig. (2-tailed)Mean

DifferenceStd. ErrorDifference Lower Upper

95% Confidence Intervalof the Difference

t-test for Equality of Means

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Example 1


4.693 .030 -2.545 1237 .011 -.394 .155 -.698 -.090

-2.561 1205.187 .011 -.394 .154 -.696 -.092




F Sig.






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Example 1


4.693 .030 -2.545 1237 .011 -.394 .155 -.698 -.090

-2.561 1205.187 .011 -.394 .154 -.696 -.092




F Sig.






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Independent samplesUnequal variance

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2

1

2

212121}{}{}{N

S

N

SyVyVyyse yy

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Example 2

Group Statistics

1019 2.81 2.260 .0711318 2.90 2.237 .062

sex RESPONDENTS SEX1 MALE2 FEMALE

tvhours HOURS PERDAY WATCHING TV

N Mean Std. DeviationStd. Error Mean


.807 .369 -.959 2335 .338 -.090 .094 -.274 .094-.958 2178.441 .338 -.090 .094 -.274 .094

Equal variances assumedEqual variances not assumed


F Sig.






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Example 2


.807 .369 -.959 2335 .338 -.090 .094 -.274 .094-.958 2178.441 .338 -.090 .094 -.274 .094



F Sig.






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Example 2


.807 .369 -.959 2335 .338 -.090 .094 -.274 .094-.958 2178.441 .338 -.090 .094 -.274 .094



F Sig.






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Independent samples / Equal variances

)(]11

}[{}{ 12

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2

2121

NNNN

yVyyse y

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Example 3Paired Samples Statistics

41.31 1544 13.547 .345

44.39 1544 13.414 .341

mapres80 MOTHERSOCCUPATIONALPRESTIGE SCORE (1980)prestg80 RSOCCUPATIONALPRESTIGE SCORE (1980)

Pair 1Mean N Std. DeviationStd. Error Mean

Paired Samples Correlations

1544 .151 .000

mapres80 MOTHERSOCCUPATIONALPRESTIGE SCORE (1980)& prestg80 RSOCCUPATIONALPRESTIGE SCORE (1980)

Pair 1N Correlation Sig.

Paired Samples Test

-3.082 17.570 .447 -3.959 -2.205 -6.892 1543 .000

mapres80 MOTHERSOCCUPATIONALPRESTIGE SCORE (1980) -prestg80 RSOCCUPATIONALPRESTIGE SCORE (1980)

Pair 1Mean Std. DeviationStd. Error Mean Lower Upper


Paired Differences

t df Sig. (2-tailed)

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Example 3

Paired Samples Test

-3.082 17.570 .447 -3.959 -2.205 -6.892 1543 .000

mapres80 MOTHERSOCCUPATIONALPRESTIGE SCORE (1980) -prestg80 RSOCCUPATIONALPRESTIGE SCORE (1980)

Pair 1Mean Std. DeviationStd. Error Mean Lower Upper


Paired Differences

t df Sig. (2-tailed)

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Dependent samples

2121222

yyyy SrSSS

}{}{}){(2}{}{}{ 21212121 yVyVyycoryVyVyyse

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Assignment 5 – due next lab Occupation , Industry are not continuous

variables!!

Notice how the values ordered!

Don’t forget to pick up your assignment.

1 soc 3811 basic social statistics. 2 class overview compare means of two groups assignment 4...

Documents

equal slide

null hypothesis slide

interaction term slide

dependent samples t

simple regression model

basic social statistics

ttest ho

sample ttest