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Understanding
Research Variables-
Univariate, Bivariate & Multivariate
By
Sundar B N
What is Variable
● a variable is any characteristic, number, or quantity that
can be measured or controlled and that can vary or take on
different values.
● Variables are central to the scientific method as they allow
researchers to systematically study relationships, make
comparisons, and draw conclusions.
Age, business income and
expenses, country of birth,
capital expenditure, class
grades, eye colour and
vehicle type
Examples
Dependent variable (DV):
Types of Variables
This is the variable that is
observed and measured for
changes as a result of the
independent variable's
manipulation. It is also known as
the outcome variable or
response variable.
This is the variable that the
researcher manipulates or
controls in an experiment to
observe its effect on the
dependent variable. It is also
known as the predictor variable
or treatment variable.
Independent variable (IV):
Examples of Independent Variables:
Marketing expenditure: The amount of money spent on
advertising, promotions, and other marketing activities.
Price of a product or service: The cost at which a product or
service is offered to customers.
Employee training programs: The type and intensity of training
provided to employees.
Leadership style: The approach taken by managers or leaders in
directing and motivating their teams.
Technological innovation: The introduction of new technologies
or processes within a company.
Examples of Dependent Variables:
Sales revenue: The total income generated from selling products or
services.
Customer satisfaction: The level of satisfaction or dissatisfaction
experienced by customers with a company's products or services.
Employee performance: The effectiveness and productivity of
employees in achieving organizational goals.
Market share: The portion of total sales within an industry that a
company captures.
Profit margin: The ratio of profit to revenue, indicating the efficiency of
a business in generating profits.
Univariate Analysis
Univariate refers to a type of
statistical analysis that
involves the examination
of one variable at a time.
In other words, univariate
analysis focuses on
describing and analyzing
the distribution, central
tendency, and variability
of a single variable
without considering
relationships with other
variables.
Example: Examining the distribution of exam scores for a
class of students.
Data: Scores obtained by each student on an exam.
Analysis: Calculate descriptive statistics such as mean,
median, mode, variance, and standard
deviation to understand the central tendency
and variability of scores.
Create a histogram or frequency distribution to
visualize the distribution of scores.
Objective: To understand the performance of students on
the exam and identify any patterns or outliers
in the scores.
Common techniques used in univariate
analysis include
 Descriptive statistics
 Frequency distributions
 Histograms and bar charts
 Box plots
 Measures of variability
Bivariate Analysis
Bivariate refers to a type of
statistical analysis that
involves the
examination of the
relationship between
two variables.
Unlike univariate analysis,
which focuses on a
single variable, bivariate
analysis examines how
two variables are
related or associated
with each other.
Example: Investigating the relationship between study
hours and exam scores.
Data: Study hours (independent variable) and exam
scores (dependent variable) for a group of
students.
Analysis: Plot a scatter plot with study hours on the x-axis
and exam scores on the y-axis.
Calculate Pearson's correlation coefficient to
measure the strength and direction of the linear
relationship between study hours and exam
scores.
Objective: To determine if there is a significant correlation
between the amount of time spent studying and
exam performance.
Example
Common techniques used in bivariate
analysis include:
 Scatter plots
 Correlation analysis
 Cross tabulation (contingency tables)
 Chi-square test
 Regression analysis
Multivariate Analysis
Multivariate analysis involves
the simultaneous analysis of
multiple variables to
understand the
relationships among them.
Multivariate analysis considers
the interactions and
dependencies between
three or more variables.
Multivariate analysis
encompasses a wide range
of statistical techniques,
each suited for different
types of data and research
questions.
Example: Understanding the factors influencing customer
satisfaction in a restaurant.
Data: Customer satisfaction (dependent variable) and
various factors such as food quality, service speed,
cleanliness, and ambiance (independent variables).
Analysis: Conduct multivariate regression analysis with
customer satisfaction as the dependent variable and food
quality, service speed, cleanliness, and ambiance as
independent variables.
Perform factor analysis to identify underlying dimensions
(factors) that explain the correlations among the different
satisfaction factors.
Objective: To identify which factors most strongly influence
customer satisfaction and understand the overall satisfaction
drivers in the restaurant.
Example
Some common methods of multivariate
analysis include:
 Multivariate regression analysis
 Principal component analysis (PCA)
 Factor analysis
 Cluster analysis
 Multivariate analysis of variance (MANOVA)
 Canonical correlation analysis (CCA)
Difference B/w Univariate, Bivariate & Multivariate Analysis
Basis for
Diff
Univariate Bivariate Multivariate
Focus
Univariate analysis
examines a single variable
at a time
Bivariate analysis examines
the relationship between two
variables
Multivariate analysis involves the simultaneous
analysis of three or more variables.
Objective
The objective is to describe
and understand the
characteristics, distribution,
and variability of the
variable.
The objective is to determine
if there is a relationship,
association, or correlation
between the two variables.
The objective is to understand complex
relationships among multiple variables,
considering interactions and dependencies
between them
Examples
Descriptive statistics such
as mean, median, mode,
variance, standard
deviation; graphical
representations like
histograms, bar charts, and
box plots.
Scatter plots, correlation
analysis (e.g., Pearson
correlation coefficient), chi-
square tests,
crosstabulations, simple
linear regression.
Multivariate regression analysis, principal
component analysis (PCA), factor analysis,
cluster analysis, multivariate analysis of
variance (MANOVA), canonical correlation
analysis (CCA).
Application
Commonly used for
preliminary exploration of
data and understanding the
properties of individual
variables.
Used to explore the
connection between two
variables and understand
how changes in one variable
are related to changes in
another.
Used to uncover patterns, identify underlying
structures, and analyze complex relationships
among multiple variables in data
Application of Univariate
analysis in Business
Sales Analysis
Financial Performance
Inventory Management
Customer Behavior Analysis
Marketing Effectiveness
Employee Performance
Application of Bivariate
analysis in Business
Sales and Marketing
Price and Demand
Customer satisfaction and
repeat purchases
Interest rates and
investment returns:
Company size and
profitability
Employee Performance &
Productivity
Application of Multivariate
analysis in Business
Market Segmentation
Customer Relationship
Management
Product Development and
Improvement
Financial Analysis and Risk
Management
Market Research and
Competitive Analysis
Employee Engagement and
Performance Management
Thank you

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Application of Univariate, Bivariate and Multivariate Variables in Business Research - Related Statistical tool and difference among them

  • 2. What is Variable ● a variable is any characteristic, number, or quantity that can be measured or controlled and that can vary or take on different values. ● Variables are central to the scientific method as they allow researchers to systematically study relationships, make comparisons, and draw conclusions. Age, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type Examples
  • 3. Dependent variable (DV): Types of Variables This is the variable that is observed and measured for changes as a result of the independent variable's manipulation. It is also known as the outcome variable or response variable. This is the variable that the researcher manipulates or controls in an experiment to observe its effect on the dependent variable. It is also known as the predictor variable or treatment variable. Independent variable (IV):
  • 4. Examples of Independent Variables: Marketing expenditure: The amount of money spent on advertising, promotions, and other marketing activities. Price of a product or service: The cost at which a product or service is offered to customers. Employee training programs: The type and intensity of training provided to employees. Leadership style: The approach taken by managers or leaders in directing and motivating their teams. Technological innovation: The introduction of new technologies or processes within a company.
  • 5. Examples of Dependent Variables: Sales revenue: The total income generated from selling products or services. Customer satisfaction: The level of satisfaction or dissatisfaction experienced by customers with a company's products or services. Employee performance: The effectiveness and productivity of employees in achieving organizational goals. Market share: The portion of total sales within an industry that a company captures. Profit margin: The ratio of profit to revenue, indicating the efficiency of a business in generating profits.
  • 6. Univariate Analysis Univariate refers to a type of statistical analysis that involves the examination of one variable at a time. In other words, univariate analysis focuses on describing and analyzing the distribution, central tendency, and variability of a single variable without considering relationships with other variables. Example: Examining the distribution of exam scores for a class of students. Data: Scores obtained by each student on an exam. Analysis: Calculate descriptive statistics such as mean, median, mode, variance, and standard deviation to understand the central tendency and variability of scores. Create a histogram or frequency distribution to visualize the distribution of scores. Objective: To understand the performance of students on the exam and identify any patterns or outliers in the scores.
  • 7. Common techniques used in univariate analysis include  Descriptive statistics  Frequency distributions  Histograms and bar charts  Box plots  Measures of variability
  • 8. Bivariate Analysis Bivariate refers to a type of statistical analysis that involves the examination of the relationship between two variables. Unlike univariate analysis, which focuses on a single variable, bivariate analysis examines how two variables are related or associated with each other. Example: Investigating the relationship between study hours and exam scores. Data: Study hours (independent variable) and exam scores (dependent variable) for a group of students. Analysis: Plot a scatter plot with study hours on the x-axis and exam scores on the y-axis. Calculate Pearson's correlation coefficient to measure the strength and direction of the linear relationship between study hours and exam scores. Objective: To determine if there is a significant correlation between the amount of time spent studying and exam performance. Example
  • 9. Common techniques used in bivariate analysis include:  Scatter plots  Correlation analysis  Cross tabulation (contingency tables)  Chi-square test  Regression analysis
  • 10. Multivariate Analysis Multivariate analysis involves the simultaneous analysis of multiple variables to understand the relationships among them. Multivariate analysis considers the interactions and dependencies between three or more variables. Multivariate analysis encompasses a wide range of statistical techniques, each suited for different types of data and research questions. Example: Understanding the factors influencing customer satisfaction in a restaurant. Data: Customer satisfaction (dependent variable) and various factors such as food quality, service speed, cleanliness, and ambiance (independent variables). Analysis: Conduct multivariate regression analysis with customer satisfaction as the dependent variable and food quality, service speed, cleanliness, and ambiance as independent variables. Perform factor analysis to identify underlying dimensions (factors) that explain the correlations among the different satisfaction factors. Objective: To identify which factors most strongly influence customer satisfaction and understand the overall satisfaction drivers in the restaurant. Example
  • 11. Some common methods of multivariate analysis include:  Multivariate regression analysis  Principal component analysis (PCA)  Factor analysis  Cluster analysis  Multivariate analysis of variance (MANOVA)  Canonical correlation analysis (CCA)
  • 12. Difference B/w Univariate, Bivariate & Multivariate Analysis Basis for Diff Univariate Bivariate Multivariate Focus Univariate analysis examines a single variable at a time Bivariate analysis examines the relationship between two variables Multivariate analysis involves the simultaneous analysis of three or more variables. Objective The objective is to describe and understand the characteristics, distribution, and variability of the variable. The objective is to determine if there is a relationship, association, or correlation between the two variables. The objective is to understand complex relationships among multiple variables, considering interactions and dependencies between them Examples Descriptive statistics such as mean, median, mode, variance, standard deviation; graphical representations like histograms, bar charts, and box plots. Scatter plots, correlation analysis (e.g., Pearson correlation coefficient), chi- square tests, crosstabulations, simple linear regression. Multivariate regression analysis, principal component analysis (PCA), factor analysis, cluster analysis, multivariate analysis of variance (MANOVA), canonical correlation analysis (CCA). Application Commonly used for preliminary exploration of data and understanding the properties of individual variables. Used to explore the connection between two variables and understand how changes in one variable are related to changes in another. Used to uncover patterns, identify underlying structures, and analyze complex relationships among multiple variables in data
  • 13. Application of Univariate analysis in Business Sales Analysis Financial Performance Inventory Management Customer Behavior Analysis Marketing Effectiveness Employee Performance
  • 14. Application of Bivariate analysis in Business Sales and Marketing Price and Demand Customer satisfaction and repeat purchases Interest rates and investment returns: Company size and profitability Employee Performance & Productivity
  • 15. Application of Multivariate analysis in Business Market Segmentation Customer Relationship Management Product Development and Improvement Financial Analysis and Risk Management Market Research and Competitive Analysis Employee Engagement and Performance Management