Statistical Data Analysis

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Eric Braatz AIU Dr. Maria Marin 1/27/2011 MGT600 UNIT 4 IP DATA ANALYSIS AND HYPOTHESIS TESTING: EMPLOYEE EMPOWERMENT AND PRODUCTIVITY

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PPT example of some moderate statstical data analysis and representation.

Transcript of Statistical Data Analysis

Page 1: Statistical Data Analysis

Eric BraatzAIUDr. Maria Marin1/27/2011

MGT600 UNIT 4 IPDATA ANALYSIS AND

HYPOTHESIS TESTING:EMPLOYEE EMPOWERMENT

AND PRODUCTIVITY

Page 2: Statistical Data Analysis

Data from a cross sectional field study is used to determine if there is a relationship between a sense of employee empowerment and productivity. The notional data generated for Pearson correlational analysis supports a positive relationship between the two variables. Alternate methods of statistical analysis are also discussed herein. The relationship between the independent and dependent variables is supportive of findings from past studies.

ABSTRACT

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Cross-sectional correlation study to determine the relationship between employee empowerment and productivity

Null Hypothesis (H0)

There is no relationship between a sense of employee empowerment and productivity.

Alternative Hypothesis (HA)

There is a relationship between a sense of employee empowerment and productivity.

PURPOSE OF STUDY

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Semi-structured interviews with employees and literature review were used to determine survey instrument type

A 10-question, 5-Point Likert scale survey administered to 20 subjects 5 questions measuring sense of empowerment

section is employee self-reported 5 questions assessing productivity

section is completed by employee’s supervisor

RESEARCH INSTRUMENTATION

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Subject Empowerment ProductivityA 4.9 4.7B 3.0 2.7C 2.5 1.6D 3.1 4.0E 2.4 3.0F 2.0 2.0G 1.7 1.1H 1.0 1.0I 1.5 2.2J 3.2 3.7K 1.0 1.8L 2.8 3.1M 4.2 4.5N 5.0 4.1O 4.2 4.0P 5.0 5.0Q 3.7 2.6R 2.3 3.3S 2.1 2.5T 4.4 3.1

Survey response data is transformed and summated into one score for each measured variableEmpowermentProductivity

STUDY DATA PREPARATION

Empowerment ProductivityRange 1.0 - 5.0Median 2.9 3.1Mean 3.0 3.0

Variance 1.6778947371.37368421

1

St. Dev. 1.2953357621.17204275

1

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The data shows a strong positive correlation between the variables of empowerment and productivity

Pearson correlation coeffi cient: r = 0.850043314

Coeffi cient of determination:r2 = 0.722573636

ANALYSIS OF DATA

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0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.50.0

1.0

2.0

3.0

4.0

5.0

6.0

f(x) = 0.769134253450439 x + 0.692597239648683R² = 0.722573635808612

Scatter Diagram & Regression Analysis

SubjectsLinear (Subjects)

Empowerment

Pro

ducti

vit

y

VISUALIZATION OF DATA

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H0 is rejected and a positive relationship between the two variables is supported by HA

Strength of correlation is strong

r2 = 0.722573636Significance of correlation is adequate

p = 0.000002

HYPOTHESIS TESTING

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Pearson Correlation deemed appropriate Compares two parametric variables Tests against null hypothesis

Allows relationship to be visualizedChi-square test

Used for nonparametric data t-test

Single sample or paired Used to compare sample to population standard

ANOVA Tests significance of mean differences among >2 groups

DISCUSSION OF ANALYTICAL METHODS

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The null hypothesis is rejectedData supports a positive relationship between

independent variable: employee empowermentand

dependent variable: productivityConclusion supports findings of previous studies and

adds validity to prevailing theoriesRecommendation to employers: Emphasis on

empowerment policies & training for employees

CONCLUSION

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