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Owner: crknuth
Created: Mar 16, 2017
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POLSCI390_StatCrunch_Wk8_Knuth
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1) 

Result 1: Summary_Stats_Wk8_Pt1   [Info]
Summary statistics for abort_circ:
Group by: race_ethnic
race_ethnicnMeanVarianceStd. dev.Median
1. White non-Hispanic23813.82024366.66683372.58202124
2. Black non-Hispanic4663.39055795.90305042.42961943
3. Hispanic4783.26569046.59802372.56866193
4. Other non-Hispanic2063.36407776.56436182.56210113

Result 2: Histogram_Wk8_Pt1   [Info]
Right click to copy

Descriptive Statistics

In all but the ‘White – Non-Hispanic’ category, the data (as shown in the bar chart) tends to have a positive skew and be clustered on the left side of the graph. Based on appearance, the ‘White – Non-Hispanic’ category distribution seems to be the most significantly different from the others and it most closely resembles a normal distribution, though its standard deviation is the highest at 2.58.

 

Hypotheses

Null: There is no difference between the abortion survey responses of those surveyed in each of the four racial groups (White - Non-Hispanic, Black, Hispanic, Other - Non-Hispanic).

H0: u1 = u2 = u3 = u4

 

Alternative: There is a difference between the abortion survey responses of those surveyed in each of the four racial groups.

H1: u1 /= u2 /= u3 /= u4

 

Result 3: Means_Plot_Wk8_Pt1   [Info]
Right click to copy

 

Means Plot

The means plot confirms that the greatest difference in means is between the ‘Hispanic’ and ‘White – Non-Hispanic’ categories. The ‘Hispanic’ category has the lowest mean of all four categories at 3.27, while the ‘White – Non-Hispanic’ category has the highest mean of all four categories at 3.82.

 

Result 4: One_Way_ANOVA_Wk8_Pt1   [Info]
Analysis of Variance results:
Responses: abort_circ
Factors: race_ethnic

Response statistics by factor
race_ethnicnMeanStd. Dev.Std. Error
1. White non-Hispanic23813.82024362.58202120.05291516
2. Black non-Hispanic4663.39055792.42961940.11254995
3. Hispanic4783.26569042.56866190.11748786
4. Other non-Hispanic2063.36407772.56210110.17851004

ANOVA table
SourceDFSSMSF-StatP-value
race_ethnic3187.3172862.4390929.5314133<0.0001
Error352723104.9346.5508745
Total353023292.251

 

Results Interpretation

The resulting F-Statistic F(obtained) is 9.53, and the P-Value is <0.0001, which indicates that the differences between the categories are statistically significant, since it is less than alpha at 0.05. This result falls in the critical region and allows us to reject the null hypothesis and conclude that there is a significant difference in responses to the abortion survey based on race/ethnicity.

 

2)

 

Result 5: Summary_Stats_Pt2_Wk8   [Info]
Summary statistics for satisf_overall:
Group by: Bin(urban)
Bin(urban)nMeanVarianceStd. dev.Median
Below 25134.26153850.61256410.782664744.2
25 to 50404.7350.717717950.847182364.7
50 to 75615.37377050.777633880.881835525.3
75 or above416.48780490.837597560.915203566.6

Result 6: Histogram_Wk8   [Info]
Right click to copy

 

Descriptive Statistics

 

When looking at the summary statistics table and histogram, the mean (6.49) and median (6.6) score for those ages 75+ of overall satisfaction of life are clearly highest amongst those in urban areas. The means and medians of all the binned groups fell in the upper half of the survey results (1-7) which would indicate that the collective data is negatively skewed. There is a general trend, however, that as age increases, overall life satisfaction also increases.

 

 

Hypotheses:

Null: There is no difference in scores of the overall life satisfaction test for those surveyed in each of the four binned age groups (<25, 25-50, 50-75, 75+).

H0: u1 = u2 = u3 = u4

 

Alternative: There is a difference in scores of the overall life satisfaction test for those surveyed in each of the four binned age groups.

H1: u1 /= u2 /=u3 /=u4

 

Result 7: Means_Plot_Wk8_Pt2   [Info]
Right click to copy

 

Means Plot

The means plot confirms that there is a generally direct relationship between age and overall life satisfaction. Specifically, it emphasizes that the largest jump in mean response answers occurs between the third (50-75) and fourth (75+) age groups, jumping from 5.37 to 6.49, perhaps in response to life events such as retirement.

 

Result 8: One_Way_ANOVA_Wk8_Pt2_FINAL   [Info]
Analysis of Variance results:
Responses: satisf_overall
Factors: Bin(urban)

Response statistics by factor
Bin(urban)nMeanStd. Dev.Std. Error
Below 25134.26153850.782664740.21707214
25 to 50404.7350.847182360.13395129
50 to 75615.37377050.881835520.11290747
75 or above416.48780490.915203560.14293078

ANOVA table
SourceDFSSMSF-StatP-value
Bin(urban)383.07977927.6932636.20388<0.0001
Error151115.50370.7649252
Total154198.58348

 

Results Interpretation

The resulting F-Statistic is 36.20, and the P-Value is <0.0001, which indicates that the differences between the categories are statistically significant, since it is less than alpha at 0.05. This result falls in the critical region and allows us to reject the null hypothesis and conclude that there is a significant difference in responses to the overall life satisfaction survey for those of different age groups in urban areas.

Data set 1. 2012ANES_POLSCI390.xls   [Info]
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Data set 2. countries2.xls   [Info]
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