Statistical Analysis

[Name of the Institute]

Statistical Analysis

Part One

Research Questions

Is there association between the age at which an individual is arrested with the prior violent convictions?

Is there association between the age at which an individual is arrested with the prior drug convictions?

Is there association between the age at which an individual is arrested with the prior prison incarcerations?

Hypothesis

Ho1: There is an association between the age of arrest and the prior violent convictions.

Ho2: There is an association between the age of arrest and the prior drug convictions.

Ho3: There is an association between the age of arrest and the prior prison incarcerations.

Variables

The four variables that are included in this part of study include the following;

Age at arrest

Prior violent conviction

Prior drug conviction

Prior prison incarceration

These above mentioned variables are important to study as the it will facilitate the reasercher in having clear understanding about the above reaserch questions. Moreover, the variables are related with each other in a way that the “age at arrest” is the the dependent variable while the rest of three variables are independent variables which will help in answering the research questions.

Statistics

Age at Arrest

# Prior Violent Convictions

# Prior Drug Convictions

# Prior Prison Incarcerations

N

Valid

460

457

457

457

Missing

2

5

5

5

Mean

29.80

.34

.32

.12

Median

28.00

.00

.00

.00

Mode

19

0

0

0

Std. Deviation

9.907

.972

.939

.421

Variance

98.156

.945

.882

.177

Skewness

.995

3.375

3.830

4.076

Std. Error of Skewness

.114

.114

.114

.114

Range

65

6

7

3

It can be observed that total 460 people get arrested out with the average age of arrest is 30 years and median age is 28. Moreover, at the age of 19 most of the people get arrested. The rage of the age of arrest is 65 which show that people up to age of 65 get arrested. In the case of prior violent convictions, prior drug convictions and prior prison incarcerations, the total 457 respondents are involved with their mean value of 0.34, 0.34 and 0.12 respectively. Besides it, the most important variable include standard deviation which are 0.972, 0.939 and 0.421 respectively for prior violent convictions, prior drug convictions and prior prison incarcerations. The standard deviation is a measure of the spread of the values ??of a feature around its mean that is arithmetic average. Simply put the standard deviation of the average distance of all the measured value (Walker and Maddan, 2008). Calculating the standard deviation is on the square root of the variance. The symbol of the standard deviation of a random variable with "s" indicated that a sample with "s" (Agresti, 2007). The standard deviation always has the same units as the feature to be examined. A smaller standard deviation of prior violent convictions, prior drug convictions and prior prison incarcerations indicates generally that the measured values ??of a feature more closely around the mean are, a larger standard deviation is a greater dispersion (Boyd, 2009). For normally distributed characteristics of the rule of thumb that are within the distance of a standard deviation above and below the mean around 68 percent of all response values (Aitchison, 2008).

In addition to this, the data pertain to prior violent convictions, prior drug convictions and prior prison incarcerations is positively skewed which is reflected through 3.375, 3.830 and 4.076 ...