Statistical Data Analysis
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Transcript of Statistical Data Analysis
Eric BraatzAIUDr. Maria Marin1/27/2011
MGT600 UNIT 4 IPDATA ANALYSIS AND
HYPOTHESIS TESTING:EMPLOYEE EMPOWERMENT
AND PRODUCTIVITY
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
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
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
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
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
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
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
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
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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