lecture 1.2 field work (lab work). analysis of data
TRANSCRIPT
Lecture 12
bull Field work (lab work)
bull Analysis of data
bull Short field workndash ex ldquoRapid rural appraisalrdquo
ndash Seeks a sketch of local conditions rather than an in-depth study
ndash The emphasis is on highly visual techniques that community members carry out amongst themselves
ndash This analysis of the data is carried out in the community
ndash Measurements are qualitative rather than quantitative
Field work (lab work)
Field work (lab work)
bull Long field work involves at least three field work periods
bull Allow an in-depth analysis of a situation
bull Time is available for quantitative analysis
bull Allow a broader scope of the study
bull Time is available for voucher collections
bull Prepare for field work (applies for both short field work and long field work)
ndash Obtain secondary information ndash maps floras census statistics etc
ndash Obtain permission of local authorities before starting fieldwork
ndash Review existing literature also local fora
bull The first field season
ndash Describe the field site including geographical location and map population size and distribution languages spoken etc
ndash Identify main informants study unitsndash Produce some brief results
Main field work bull Remember locating and obtaining
permission to use materials
bull Make sure to do everything systematically
Data should be stored for 10 years
Stick to the same units tools and scales throughout the study
A unique identification number for each collection
bull While in the field it is helpful to make
some initial analyses of the data
Last field work periodbull Before this last field period perform
initial analysis of the data
bull Look for whatrsquos missing in the data or what you would like to explore in greater detail
bull Do not forget to say good bye and thank you to the community in which you have been working leaving it in a good
manner
Analysis of data
bullThe purpose of analysing the data is explore different interesting characteristics inherent in the results
bullCharacteristics that the study units have in common
bullCharacteristics that the study units are different from
bullCategorization is the way that something is divided up into a set off of different classes
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
bull Short field workndash ex ldquoRapid rural appraisalrdquo
ndash Seeks a sketch of local conditions rather than an in-depth study
ndash The emphasis is on highly visual techniques that community members carry out amongst themselves
ndash This analysis of the data is carried out in the community
ndash Measurements are qualitative rather than quantitative
Field work (lab work)
Field work (lab work)
bull Long field work involves at least three field work periods
bull Allow an in-depth analysis of a situation
bull Time is available for quantitative analysis
bull Allow a broader scope of the study
bull Time is available for voucher collections
bull Prepare for field work (applies for both short field work and long field work)
ndash Obtain secondary information ndash maps floras census statistics etc
ndash Obtain permission of local authorities before starting fieldwork
ndash Review existing literature also local fora
bull The first field season
ndash Describe the field site including geographical location and map population size and distribution languages spoken etc
ndash Identify main informants study unitsndash Produce some brief results
Main field work bull Remember locating and obtaining
permission to use materials
bull Make sure to do everything systematically
Data should be stored for 10 years
Stick to the same units tools and scales throughout the study
A unique identification number for each collection
bull While in the field it is helpful to make
some initial analyses of the data
Last field work periodbull Before this last field period perform
initial analysis of the data
bull Look for whatrsquos missing in the data or what you would like to explore in greater detail
bull Do not forget to say good bye and thank you to the community in which you have been working leaving it in a good
manner
Analysis of data
bullThe purpose of analysing the data is explore different interesting characteristics inherent in the results
bullCharacteristics that the study units have in common
bullCharacteristics that the study units are different from
bullCategorization is the way that something is divided up into a set off of different classes
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Field work (lab work)
bull Long field work involves at least three field work periods
bull Allow an in-depth analysis of a situation
bull Time is available for quantitative analysis
bull Allow a broader scope of the study
bull Time is available for voucher collections
bull Prepare for field work (applies for both short field work and long field work)
ndash Obtain secondary information ndash maps floras census statistics etc
ndash Obtain permission of local authorities before starting fieldwork
ndash Review existing literature also local fora
bull The first field season
ndash Describe the field site including geographical location and map population size and distribution languages spoken etc
ndash Identify main informants study unitsndash Produce some brief results
Main field work bull Remember locating and obtaining
permission to use materials
bull Make sure to do everything systematically
Data should be stored for 10 years
Stick to the same units tools and scales throughout the study
A unique identification number for each collection
bull While in the field it is helpful to make
some initial analyses of the data
Last field work periodbull Before this last field period perform
initial analysis of the data
bull Look for whatrsquos missing in the data or what you would like to explore in greater detail
bull Do not forget to say good bye and thank you to the community in which you have been working leaving it in a good
manner
Analysis of data
bullThe purpose of analysing the data is explore different interesting characteristics inherent in the results
bullCharacteristics that the study units have in common
bullCharacteristics that the study units are different from
bullCategorization is the way that something is divided up into a set off of different classes
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
bull Prepare for field work (applies for both short field work and long field work)
ndash Obtain secondary information ndash maps floras census statistics etc
ndash Obtain permission of local authorities before starting fieldwork
ndash Review existing literature also local fora
bull The first field season
ndash Describe the field site including geographical location and map population size and distribution languages spoken etc
ndash Identify main informants study unitsndash Produce some brief results
Main field work bull Remember locating and obtaining
permission to use materials
bull Make sure to do everything systematically
Data should be stored for 10 years
Stick to the same units tools and scales throughout the study
A unique identification number for each collection
bull While in the field it is helpful to make
some initial analyses of the data
Last field work periodbull Before this last field period perform
initial analysis of the data
bull Look for whatrsquos missing in the data or what you would like to explore in greater detail
bull Do not forget to say good bye and thank you to the community in which you have been working leaving it in a good
manner
Analysis of data
bullThe purpose of analysing the data is explore different interesting characteristics inherent in the results
bullCharacteristics that the study units have in common
bullCharacteristics that the study units are different from
bullCategorization is the way that something is divided up into a set off of different classes
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Main field work bull Remember locating and obtaining
permission to use materials
bull Make sure to do everything systematically
Data should be stored for 10 years
Stick to the same units tools and scales throughout the study
A unique identification number for each collection
bull While in the field it is helpful to make
some initial analyses of the data
Last field work periodbull Before this last field period perform
initial analysis of the data
bull Look for whatrsquos missing in the data or what you would like to explore in greater detail
bull Do not forget to say good bye and thank you to the community in which you have been working leaving it in a good
manner
Analysis of data
bullThe purpose of analysing the data is explore different interesting characteristics inherent in the results
bullCharacteristics that the study units have in common
bullCharacteristics that the study units are different from
bullCategorization is the way that something is divided up into a set off of different classes
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Last field work periodbull Before this last field period perform
initial analysis of the data
bull Look for whatrsquos missing in the data or what you would like to explore in greater detail
bull Do not forget to say good bye and thank you to the community in which you have been working leaving it in a good
manner
Analysis of data
bullThe purpose of analysing the data is explore different interesting characteristics inherent in the results
bullCharacteristics that the study units have in common
bullCharacteristics that the study units are different from
bullCategorization is the way that something is divided up into a set off of different classes
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Analysis of data
bullThe purpose of analysing the data is explore different interesting characteristics inherent in the results
bullCharacteristics that the study units have in common
bullCharacteristics that the study units are different from
bullCategorization is the way that something is divided up into a set off of different classes
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Analysis categorizationbull Selecting categories
bull Categorization of the data into different levels how many levels
bull Value can be assigned to different categories
bull Beware of units and scales need to be the same
Categories of use
05
101520253035404550
Constru
ction
Med
icine
Commerci
al
Food
Firewoo
dCra
ft
Other
Nu
mb
er o
f sp
eice
s
Species used seldomly(not used presently)
Species used presently
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Analysing quantitative forms of data
bull The number of individuals and species
bull The structure of the data set
bull Quantitative data in social sciences how many inhabitants different age classes etc
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Analysis of data
bull Graphical presentationndash Tables and figures permits us to
present a simplified version of the results
ndash Can be used to report precise numbers or to illustrate a trend
ndash A trend might be better illustrated with a figure
ndash Graphs typically relate two dimensions such as quantity of time
ndash Graphs show trends or movements over time
ndash Use the program ldquoexcelrdquo free and relatively simple
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Analysis of data
bull An important tool for analyzing data is statistics a mathematical way of summarizing and interpreting quantifiable research results
bull Do your study allow for statisticsndash Must be considered when designing the study
bull It is important to understand when to apply each statistical tool and how to interpret the results
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Statistical analysis of data
bull Everything varies if you measure two things twice they will be different
bull P value -the power of a test is the probability of rejecting the null hypothesis when it is false
bull The null hypothesis nothing happens
bull The alternative hypothesis there is significant divergence or pattern in the data
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Statistical analysis of data
bull Various measures of central tendency describe important properties of a population of study units ndash Calculation of the modendash Calculation of the medianndash Calculation of the mean
bull The measure of variabilitythe analysis of variation about meansndash Used for establishing measures of unreliabilityndash Used for testing hypothesis
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Regression
bull The statistical model when explanatory variables is continuous
bull To check relationship between two variables
bull A number of assumptions the most important normally distributed errors
Can you think of data where analysis of regression could be useful
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Analysis of variance (anova)
bull Analysis which involves a range of discrete levels of categories
bull Fundamental question are there differences between means
bull Several assumptions underlying the analysis the most important equal variances
Can you think of data where analysis of anova could be useful
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
bull Other common statistics are the chi-square test correlation and ordination analysis ndash Analysis of co-variancendash Nested design different treatments are applied
to plots of different sizendash Correlation analysis to check how variables
vary together
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Qualitative analysis
bull A general analysis strategy advanced by three qualitative authors (Bogdan amp Biklen 1992 Huberman amp Miles 1994 Wolcott 1994)
1 A general review of all information
2 The process of reducing the data begins
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Qualitative analysisbull To analyse qualitative data the researcher engages
in the process of moving in analytic circles
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-
Qualitative analysisComputer programs ex NUD IST may help in the
analysis phase
ndash The program provides an organized storage ldquofilerdquo system
ndash Helps locating material easily
ndash However programs should not take the place of careful analysis of the material
- Lecture 12
- Slide 2
- Field work (lab work)
- Slide 4
- Slide 5
- Slide 6
- Analysis of data
- Analysis categorization
- Analysing quantitative forms of data
- Slide 10
- Slide 11
- Statistical analysis of data
- Slide 13
- Regression
- Analysis of variance (anova)
- Slide 16
- Qualitative analysis
- Slide 18
- Slide 19
-