Data analysis

sm/d-analysis1
Data AnalysisData Analysis
Stages in Data Analysis
I. Data Processing
II. Data distribution
III. Tabulation
IV. Data Analysis
V. Data Interpretation
VI. Diagrammatic Presentation
Coding
Editing
Computer
feeding
Categorisation
Frequency
Distribution
Measurement
sm/d-analysis2
Data Processing
• involves various manipulations necessary for
preparing data for analysis
1. Editing- a process of examining the collected raw data to
detect errors and omissions and to correct them when possible.
2. Coding- the process of assigning numbers or other symbols
to answers so that responses can be put into a limited number
of classes or categories.
3. Computer feeding-
sm/d-analysis3
Data distributionData distribution
It is a form of classification of scores obtained for the
various categories of a particular variable.
Data analysisData analysis
It is the ordering of data into constituent parts in order
to obtain answers to research questions.
1. Categorisation
2. Frequency distribution
3. Measurement
sm/d-analysis4
Interpretation
Done in two ways-
i. The relations within the study and its data are
interpreted.
ii. The results of the study and the inferences drawn
within the data are compared with the theory.
Diagrammatic representation
Numerical data is represented in the form of-
Graphs
Tables
Statement
sm/d-analysis5
Types of Statistical Analyses Used in
Marketing Research
Statistical Analysis
sm/d-analysis6
Types of Statistical Analyses Used in
Marketing Research
Statistical Analysis
• Five types of statistical analysis:
1. Descriptive analysis: used to describe the data set
2. Inferential analysis: used to generate conclusions
about the population’s characteristics based on the
sample data
3. Differences analysis: used to compare the mean of
the responses of one group to that of another group
4. Associative analysis: determines the strength and
direction of relationships between two or more
variables
5. Predictive analysis: allows one to make forecasts
for future events
sm/d-analysis7
Understanding Data Via Descriptive Analysis
• Two sets of descriptive measures:
• Measures of central tendency: used to report a
single piece of information that describes the
most typical response to a question
• Measures of variability: used to reveal the
typical difference between the values in a set
of values
sm/d-analysis8
Measures of Central Tendency
• Mode: the value in a string of numbers that
occurs most often
• Median: the value whose occurrence lies in the
middle of a set of ordered values
• Mean: sometimes referred to as the “arithmetic
mean”; the average value characterizing a set of
numbers
sm/d-analysis9
Measures of Variability
• Frequency distribution: reveals the number
(percent) of occurrences of each number or set of
numbers
• Range: identifies the maximum and minimum
values in a set of numbers
• Standard deviation: indicates the degree of
variation in a way that can be translated into a
bell-shaped curve distribution
sm/d-analysis10
Correlation
A statistical technique that is used for
measuring the relationship or
interdependence of two or more variables.
It does not indicate the causal relationship
between two variables.
Usually scatter diagrams are used to
represent the relationship between the two
variables
sm/d-analysis11
Measuring Correlation with the help of
scatter diagrams
sm/d-analysis12
Regression
• A statistical technique that relates the
dependent variable to one or more
independent variables.
• It is always used to predict the value of
one variable based on the value of
another variable
sm/d-analysis13
Hypothesis testing
A hypothesis is an assumption about relations between
variables.
It is a tentative explanation of the research problem or
a guess about the research outcome.
Hypothesis testing: a statistical procedure used to
“accept” or “reject” the hypothesis based on sample
information
sm/d-analysis14
Steps involved in hypothesis
testing
1. Formulate a hypothesis
2. Set up a suitable significance level
3. Choose a test criterion
4. Compute
5. Make decisions
sm/d-analysis15
Formulate a hypothesis
• Set up two hypothesis- null hypothesis
alternate hypothesis
Set up a significance level
The confidence with which a null hypothesis is
rejected or accepted depends upon the
significance level.
sm/d-analysis16
Select test criterion
• Involves selecting an appropriate
statistical technique.
• For a large sample (30 or more)- Z test
• For a small sample( less than 30)- t test
include the testing statistic and also its
standard error
Compute
sm/d-analysis17
Make decisions
• to accept or reject the null hypothesis.
• if the computed value falls in the
rejection region – reject the null
hypothesis and vice versa
sm/d-analysis18
Types of errors
DECISION
Accept Ho Reject Ho
Ho (true) Correct
decision
Type I Error
Ho( false) Type II Error Correct decision
1 de 18

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Data analysis

  • 1. sm/d-analysis1 Data AnalysisData Analysis Stages in Data Analysis I. Data Processing II. Data distribution III. Tabulation IV. Data Analysis V. Data Interpretation VI. Diagrammatic Presentation Coding Editing Computer feeding Categorisation Frequency Distribution Measurement
  • 2. sm/d-analysis2 Data Processing • involves various manipulations necessary for preparing data for analysis 1. Editing- a process of examining the collected raw data to detect errors and omissions and to correct them when possible. 2. Coding- the process of assigning numbers or other symbols to answers so that responses can be put into a limited number of classes or categories. 3. Computer feeding-
  • 3. sm/d-analysis3 Data distributionData distribution It is a form of classification of scores obtained for the various categories of a particular variable. Data analysisData analysis It is the ordering of data into constituent parts in order to obtain answers to research questions. 1. Categorisation 2. Frequency distribution 3. Measurement
  • 4. sm/d-analysis4 Interpretation Done in two ways- i. The relations within the study and its data are interpreted. ii. The results of the study and the inferences drawn within the data are compared with the theory. Diagrammatic representation Numerical data is represented in the form of- Graphs Tables Statement
  • 5. sm/d-analysis5 Types of Statistical Analyses Used in Marketing Research Statistical Analysis
  • 6. sm/d-analysis6 Types of Statistical Analyses Used in Marketing Research Statistical Analysis • Five types of statistical analysis: 1. Descriptive analysis: used to describe the data set 2. Inferential analysis: used to generate conclusions about the population’s characteristics based on the sample data 3. Differences analysis: used to compare the mean of the responses of one group to that of another group 4. Associative analysis: determines the strength and direction of relationships between two or more variables 5. Predictive analysis: allows one to make forecasts for future events
  • 7. sm/d-analysis7 Understanding Data Via Descriptive Analysis • Two sets of descriptive measures: • Measures of central tendency: used to report a single piece of information that describes the most typical response to a question • Measures of variability: used to reveal the typical difference between the values in a set of values
  • 8. sm/d-analysis8 Measures of Central Tendency • Mode: the value in a string of numbers that occurs most often • Median: the value whose occurrence lies in the middle of a set of ordered values • Mean: sometimes referred to as the “arithmetic mean”; the average value characterizing a set of numbers
  • 9. sm/d-analysis9 Measures of Variability • Frequency distribution: reveals the number (percent) of occurrences of each number or set of numbers • Range: identifies the maximum and minimum values in a set of numbers • Standard deviation: indicates the degree of variation in a way that can be translated into a bell-shaped curve distribution
  • 10. sm/d-analysis10 Correlation A statistical technique that is used for measuring the relationship or interdependence of two or more variables. It does not indicate the causal relationship between two variables. Usually scatter diagrams are used to represent the relationship between the two variables
  • 11. sm/d-analysis11 Measuring Correlation with the help of scatter diagrams
  • 12. sm/d-analysis12 Regression • A statistical technique that relates the dependent variable to one or more independent variables. • It is always used to predict the value of one variable based on the value of another variable
  • 13. sm/d-analysis13 Hypothesis testing A hypothesis is an assumption about relations between variables. It is a tentative explanation of the research problem or a guess about the research outcome. Hypothesis testing: a statistical procedure used to “accept” or “reject” the hypothesis based on sample information
  • 14. sm/d-analysis14 Steps involved in hypothesis testing 1. Formulate a hypothesis 2. Set up a suitable significance level 3. Choose a test criterion 4. Compute 5. Make decisions
  • 15. sm/d-analysis15 Formulate a hypothesis • Set up two hypothesis- null hypothesis alternate hypothesis Set up a significance level The confidence with which a null hypothesis is rejected or accepted depends upon the significance level.
  • 16. sm/d-analysis16 Select test criterion • Involves selecting an appropriate statistical technique. • For a large sample (30 or more)- Z test • For a small sample( less than 30)- t test include the testing statistic and also its standard error Compute
  • 17. sm/d-analysis17 Make decisions • to accept or reject the null hypothesis. • if the computed value falls in the rejection region – reject the null hypothesis and vice versa
  • 18. sm/d-analysis18 Types of errors DECISION Accept Ho Reject Ho Ho (true) Correct decision Type I Error Ho( false) Type II Error Correct decision