Please use the dataset below to answer the questions. The variables are as follo
ID: 3252628 • Letter: P
Question
Please use the dataset below to answer the questions. The variables are as follows: Gender: Female (0), Male Political affiliation: Independent (o), Democrat Republican (2) Weight: in pounds Lifespan: in years gender political affiliation weight lifespan 45 255 female democrat 520 45 democrat male 66 female democrat 66 187 male independent 66 201 male democrat 141 70 female republican 71 democrat male 174 republican 73 male 165 74 male republican 75 democrat 77 independent female female independent 132 145 female democrat 140 79 male independent 80 154 republican female 189 republican 82 male 85 male republican 170 88 republican female female independent 160 89 92 female independentExplanation / Answer
Solution:
Here in this question Null hypothesis will be assumed as mean of all group for political affiliation and Gender for dependent variable(lifespan) will be same.
Alternate hypothesis will be assumed as mean of all group for political affiliation and Gender for dependent variable(lifespan) will be not be same for atleast one different gropu.
Hence, Null hypothesis
H0: 1 = 2 = 3 for( political affiliation)
H0: 1 = 2 for( Gender)
Alternative hypothesis
H1=Not all are equal
T-test for gender and Anova test for Political affiliation is the best test to do in our case
Equal group sizes may be defined by the ratio of the largest to smallest group being less than 1.5. If group sizes are vastly unequal and homogeneity of variance is violated, then the F statistic will be biased when large sample variances are associated with small group sizes. When this occurs, the significance level will be underestimated, which can cause the null hypothesis to be falsely rejected.
In our case ratio of largest to smallest group being less than 1.5. so Test of homogenoity of variance can be applied
From the test table we find that there is not much significance difference b/w male and female life span
Post hoc test can be run for political affiliation only, because there are more than 2 group for political affiliation.
with the help of post hoc test we find that there is difference b/w the lifespan mean of
democrat and independent
democrat and republican
republican and independent
below is the spss result:
ONEWAY Lifespan BY gender
/STATISTICS DESCRIPTIVES
/MISSING ANALYSIS
/POSTHOC=BTUKEY ALPHA(0.05).
Oneway
Notes
Output Created
22-MAY-2017 22:36:43
Comments
Input
Active Dataset
DataSet2
Filter
<none>
Weight
<none>
Split File
<none>
N of Rows in Working Data File
20
Missing Value Handling
Definition of Missing
User-defined missing values are treated as missing.
Cases Used
Statistics for each analysis are based on cases with no missing data for any variable in the analysis.
Syntax
ONEWAY Lifespan BY gender
/STATISTICS DESCRIPTIVES
/MISSING ANALYSIS
/POSTHOC=BTUKEY ALPHA(0.05).
Resources
Processor Time
00:00:00.02
Elapsed Time
00:00:00.01
Warnings
Post hoc tests are not performed for Lifespan because there are fewer than three groups.
Descriptives
Lifespan
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Lower Bound
Upper Bound
Male
10
71.6000
11.21705
3.54714
63.5758
79.6242
Female
10
76.4000
13.72103
4.33897
66.5846
86.2154
Total
20
74.0000
12.44356
2.78246
68.1762
79.8238
Descriptives
Lifespan
Minimum
Maximum
Male
45.00
85.00
Female
45.00
92.00
Total
45.00
92.00
ANOVA
Lifespan
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
115.200
1
115.200
.734
.403
Within Groups
2826.800
18
157.044
Total
2942.000
19
ONEWAY Lifespan BY Political_Affiliation
/STATISTICS DESCRIPTIVES
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
Oneway
Notes
Output Created
22-MAY-2017 22:37:26
Comments
Input
Active Dataset
DataSet2
Filter
<none>
Weight
<none>
Split File
<none>
N of Rows in Working Data File
20
Missing Value Handling
Definition of Missing
User-defined missing values are treated as missing.
Cases Used
Statistics for each analysis are based on cases with no missing data for any variable in the analysis.
Syntax
ONEWAY Lifespan BY Political_Affiliation
/STATISTICS DESCRIPTIVES
/MISSING ANALYSIS
/POSTHOC=TUKEY ALPHA(0.05).
Resources
Processor Time
00:00:00.02
Elapsed Time
00:00:00.07
Descriptives
Lifespan
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Lower Bound
Upper Bound
independent
6
80.1667
9.32559
3.80716
70.3801
89.9533
Democrat
7
63.8571
13.69219
5.17516
51.1940
76.5203
Republican
7
78.8571
6.69399
2.53009
72.6662
85.0481
Total
20
74.0000
12.44356
2.78246
68.1762
79.8238
Descriptives
Lifespan
Minimum
Maximum
independent
66.00
92.00
Democrat
45.00
79.00
Republican
70.00
88.00
Total
45.00
92.00
ANOVA
Lifespan
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
1113.452
2
556.726
5.176
.018
Within Groups
1828.548
17
107.562
Total
2942.000
19
Post Hoc Tests
Multiple Comparisons
Dependent Variable: Lifespan
Tukey HSD
(I) Political_Affiliation
(J) Political_Affiliation
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
independent
Democrat
16.30952*
5.77000
.030
1.5074
Republican
1.30952
5.77000
.972
-13.4926
Democrat
independent
-16.30952*
5.77000
.030
-31.1116
Republican
-15.00000*
5.54364
.038
-29.2214
Republican
independent
-1.30952
5.77000
.972
-16.1116
Democrat
15.00000*
5.54364
.038
.7786
Multiple Comparisons
Dependent Variable: Lifespan
Tukey HSD
(I) Political_Affiliation
(J) Political_Affiliation
95% Confidence Interval
Upper Bound
independent
Democrat
31.1116
Republican
16.1116
Democrat
independent
-1.5074
Republican
-.7786
Republican
independent
13.4926
Democrat
29.2214
*. The mean difference is significant at the 0.05 level.
Homogeneous Subsets
Lifespan
Tukey HSDa,b
Political_Affiliation
N
Subset for alpha = 0.05
1
2
Democrat
7
63.8571
Republican
7
78.8571
independent
6
80.1667
Sig.
1.000
.971
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 6.632.
b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
Dataset:
Female Democrat 255.00 45.00
Male Democrat 520.00 45.00
Female Democrat 490.00 66.00
Male independent 187.00 66.00
Male Democrat 201.00 66.00
Female Republican 141.00 70.00
Male Democrat 177.00 71.00
Male Republican 174.00 73.00
Male Republican 165.00 74.00
Male Democrat 210.00 75.00
Female independent 177.00 77.00
Female independent 132.00 78.00
Female Democrat 145.00 79.00
Male independent 140.00 79.00
Female Republican 154.00 80.00
Male Republican 189.00 82.00
Male Republican 192.00 85.00
Female Republican 170.00 88.00
Female independent 160.00 89.00
Female independent 144.00 92.00
Notes
Output Created
22-MAY-2017 22:36:43
Comments
Input
Active Dataset
DataSet2
Filter
<none>
Weight
<none>
Split File
<none>
N of Rows in Working Data File
20
Missing Value Handling
Definition of Missing
User-defined missing values are treated as missing.
Cases Used
Statistics for each analysis are based on cases with no missing data for any variable in the analysis.
Syntax
ONEWAY Lifespan BY gender
/STATISTICS DESCRIPTIVES
/MISSING ANALYSIS
/POSTHOC=BTUKEY ALPHA(0.05).
Resources
Processor Time
00:00:00.02
Elapsed Time
00:00:00.01