# Statistical Analysis Report: Exploring Demographic and Workplace Variables

This comprehensive statistical analysis assignment delves into diverse aspects of demographic and workplace variables. The exploration includes homogeneous subsets of starting wages based on employee racial backgrounds, a univariate analysis of variance assessing the impact of racial backgrounds on respondent age, and crosstabs analysis unveiling relationships between criminal background hires, minority-owned companies, and employee racial backgrounds. The findings provide valuable insights into the intricate dynamics of these factors within the dataset.

## Assignment 1: Descriptive Statistics

### Problem Description:

Analyzing key statistics for variables in a dataset.

Summary:

Variables: C21_A, C43C

Statistics: Mean, Standard Deviation, Minimum, Maximum

Results:

• STARTING WAGE DOLLARS:

Mean: 7.269

• RESPONDENT AGE:

Mean: 39.37, Std. Deviation: 11.593, Min: 18, Max: 75

• Valid N (listwise): 128

## Assignment 2: Frequency Analysis

### Problem Description:

Investigating the frequency distribution of categorical variables.

Summary:

Variables: A2B, G5, C2A

Results:

MINORITY-OWNED COMPANY:

• Valid: 167, Missing: 10
• Frequencies:

1: 7.9%

2: 86.4%

• Valid: 158, Missing: 19
• Frequencies:

1: 42.4%

2: 46.9%

EMPLOYEE RACIAL BACKGROUND:

• Valid: 156, Missing: 21
• Frequencies:

1: 53.1%

2: 20.3%

3: 9.0%

4: 5.6%

## Assignment 3: T-Test Analysis

### Problem Description:

Comparing means of two groups for different variables.

Summary:

Groups: A2B(1 5)

Variables: C43C, CA7, C7B, CB19, C21_A

Results:

Group Statistics:

• See detailed statistics for each variable and group.

Independent Samples Test:

• Levene's Test for Equality of Variances
• t-test for Equality of Means

### Problem Description:

Examining the impact of a categorical variable on a continuous variable.

Summary:

Factors: C2A (EMPLOYEE RACIAL BACKGROUND)

Dependent Variable: STARTING WAGE DOLLARS

Results:

Between-Subjects Factors:

• White:72, Black: 26, Hispanic: 12, Other: 9

Descriptive Statistics:

• Mean, Std. Deviation, N for each category

Tests of Between-Subjects Effects:

• Significance tests and effect sizes

Post Hoc Tests:

• Tukey HSD for pairwise comparisons

## Homogeneous Subsets - Assignment 5

### Problem Description:

Analyzing homogeneous subsets for the variable STARTING WAGE DOLLARS based on EMPLOYEE RACIAL BACKGROUND.

Summary:

Test Used: Tukey HSD

Results:

EMPLOYEE RACIAL BACKGROUND Subsets:

• Hispanic: 7.083
• Other: 7.222
• Black: 7.269
• White: 7.444

Statistical Significance: p = 0.982

Note: Harmonic Mean Sample Size used due to unequal group sizes.

## Univariate Analysis of Variance (ANOVA) - Assignment 6

### Problem Description:

Investigating the impact of EMPLOYEE RACIAL BACKGROUND on RESPONDENT AGE.

Summary:

Factors: EMPLOYEE RACIAL BACKGROUND (C2A)

Results:

Descriptive Statistics:

• White: Mean = 40.26, Std. Dev. = 10.693
• Black: Mean = 38.69, Std. Dev. = 12.555
• Hispanic: Mean = 36.53, Std. Dev. = 11.115
• Other: Mean = 43.00, Std. Dev. = 17.518

Tests of Between-Subjects Effects:

• Significance tests and effect sizes

Post Hoc Tests (Tukey HSD):

• Pairwise comparisons of group means

Note: Harmonic Mean Sample Size used due to unequal group sizes.

## Crosstabs Analysis - Assignment 7

### Problem Description:

Examining the relationship between BUSINESS HIRED CRIMINAL BACKGROUND and MINORITY-OWNED COMPANY, and EMPLOYEE RACIAL BACKGROUND and MINORITY-OWNED COMPANY.

Results:

BUSINESS HIRED CRIMINAL BACKGROUND * MINORITY-OWNED COMPANY

Crosstabulation:

Yes:

• Count: 7 (53.8% within MINORITY-OWNED COMPANY)

No:

• Count: 6 (54.3% within MINORITY-OWNED COMPANY)

Chi-Square Test:

• Pearson Chi-Square: 0.321 (p = 0.571)

EMPLOYEE RACIAL BACKGROUND * MINORITY-OWNED COMPANY

Crosstabulation:

White:

• Count: 9 (64.3% within MINORITY-OWNED COMPANY)

Black:

• Count: 1 (7.1% within MINORITY-OWNED COMPANY)

Hispanic:

• Count: 2 (14.3% within MINORITY-OWNED COMPANY)

Other:

• Count: 2 (14.3% within MINORITY-OWNED COMPANY)

Chi-Square Test:

• Pearson Chi-Square: 3.000 (p = 0.392)