# Bivariate Analysis Harvard Case Solution & Analysis

## Bivariate Analysis Case Study Solution

### Research Question:

Is there a statistically significant difference on the vote for the party if the candidate for voting by income level of candidate?

### Null Hypothesis:

There is not a statistically significant difference on the vote for the party if the candidate for voting by income level of candidate.

### Alternate Hypothesis:

There is a statistically significant difference on the vote for the party if the candidate for voting by income level of candidate.

### One Way ANOVA:

In order to test the above mentioned hypothesis, the one way ANOVA has been used to identify the statistically significant difference on the vote for the party if the candidate for voting by income level of candidate and found that the p value is greater than the 0.05 significance level at t value of 1.18 and DF of 1053 which do not provides the statistical significant evidences to conclude that there is a statistically significant difference on the vote for the party if the candidate for voting by income level of candidate.

### Research Question:

Is there a statistically significant difference on the vote for the party if the candidate for voting by education of candidate?

### Null Hypothesis:

There is not a statistically significant difference on the vote for the party if the candidate for voting by education of candidate.

### Alternate Hypothesis:

There is a statistically significant difference on the vote for the party if the candidate for voting by education of candidate.

### One Way ANOVA:

In order to test the above mentioned hypothesis, the one way ANOVA has been used to identify the statistically significant difference on the vote for the party if the candidate for voting by education of candidate and found that the p value is lower than the 0.05 significance level at t value of 13.04 and DF of 1240 which provides the statistical significant evidences to conclude that there is a statistically significant difference on the vote for the party if the candidate for voting by education of candidate.

### Research Question:

Is there a statistically significant difference on the vote for the party if the candidate for voting by age of candidate?

### Null Hypothesis:

There is not a statistically significant difference on the vote for the party if the candidate for voting by the age of candidate.

### Alternate Hypothesis:

There is a statistically significant difference on the vote for the party if the candidate for voting by the age of candidate.

### One Way ANOVA:

In order to test the above mentioned hypothesis, the one way ANOVA has been used to identify the statistically significant difference on the vote for the party if the candidate for voting by the age of candidate and found that the p value is lower than the 0.05 significance level at t value of 2.14 and DF of 1240 which provides the statistical significant evidences to conclude that there is a statistically significant difference on the vote for the party if the candidate for voting by the age of candidate.

### STATA Picture 7:

In this question, the paired sample t test has been applied to find the past voting behavior is a good predictor of future voting behavior by using the variables of

• The vote for the party if the candidate for voting
• And, the party which have voted by the candidate in the election year 2011

### Research Question:

Is there a statistically significant difference on the vote for the party if the candidate for voting and the party which have voted by the candidate in the election year 2011?

### Null Hypothesis:

There is not a statistically significant difference on the vote for the party if the candidate for voting and the party which have voted by the candidate in the election year 2011.

### Alternate Hypothesis:

There is a statistically significant difference on the vote for the party if the candidate for voting and the party which have voted by the candidate in the election year 2011.

### Paired Sample T Test:

In order to test the above mentioned hypothesis, the paired sample t test has been used to identify the statistically significant difference on the vote for the party if the candidate for voting and the party which have voted by the candidate in the election year 2011 and found that the p value is lower than the 0.05 significance level at t value of -4.2155 and DF of 242 which provides the statistical significant evidences to conclude that there is a statistically significant difference on the vote for the party if the candidate for voting and the party which have voted by the candidate in the election year 2011.

### STATA Picture 8:

This question is used to identify the given party preference expressed in the campaign period survey in 2015 and its predicted outcome of the federal election by using the variables are

• Amount of attention paid to the election campaign
• And, Best party to manage economy

### Research Question:

Is there a statistically significant association between the Amount of attention paid to the election campaign and the Best party to manage economy?

### Null Hypothesis:

There is not a statistically significant association between the Amount of attention paid to the election campaign and the Best party to manage economy.

### Alternate Hypothesis:

There is a statistically significant association between the Amount of attention paid to the election campaign and the Best party to manage economy.

### Linear Regression:

In order to test the above mentioned hypothesis, the linear regression has been used to identify the statistically significant association between the Amount of attention paid to the election campaign and the Best party to manage economy and found that the p value is lower than the 0.05 significance level at t value of 201.3 and DF of 6872, which provides the statistical significant evidences to conclude that there is a statistically significant association between the Amount of attention paid to the election campaign and the Best party to manage economy.

Furthermore, the conservative party is the winning party because it is total voting from candidates are 1905 which is greater than all.

### STATA Picture 9:

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