Difference between revisions of "An initial path towards statistical analysis"

From Sustainability Methods
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Does you data contain at least one categorical variable?<br>
 
Does you data contain at least one categorical variable?<br>
 
[[#Categorical and continuous data|Yes, I have at least one categorical variable! (?)]] (?)<br>
 
[[#Categorical and continuous data|Yes, I have at least one categorical variable! (?)]] (?)<br>
R commands: <br>
+
R commands: str, summary, head, tail <br>
 
Relevant figures:  <br>
 
Relevant figures:  <br>
  
 
==Categorical variables==
 
==Categorical variables==
 
===[[Simple Statistical Tests#Chi-square Test of Stochastic Independence|Chi-Square test]]===
 
===[[Simple Statistical Tests#Chi-square Test of Stochastic Independence|Chi-Square test]]===
R commands: <br>
+
R commands: table <br>
 
Relevant figures:  <br>
 
Relevant figures:  <br>
  
 
==Categorical and continuous data==
 
==Categorical and continuous data==
  
R commands:  <br>
+
R commands: str, summary, <br>
 
Relevant figures:  <br>
 
Relevant figures:  <br>
  
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===[[Experiments#Analysis_of_Variance| Analysis of Variance]]<br>===
 
===[[Experiments#Analysis_of_Variance| Analysis of Variance]]<br>===
R commands:   <br>
+
R commands: aov, lm  <br>
Relevant figures:   <br>
+
Relevant figures: boxplot  <br>
  
 
<div id="Is your dependent variable normally distributed?">The dependent variable is normally distributed</div>
 
<div id="Is your dependent variable normally distributed?">The dependent variable is normally distributed</div>
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[[Data_distribution#The_normal_distribution|Dependent variable normally distributed]]<br>
 
[[Data_distribution#The_normal_distribution|Dependent variable normally distributed]]<br>
 
====[[Type II Anova|Type II Anova]]<br>====
 
====[[Type II Anova|Type II Anova]]<br>====
R commands:   <br>
+
R commands: aov, lm  <br>
Relevant figures:   <br>
+
Relevant figures: boxplot  <br>
  
  
 
[[Data_distribution#Non-normal_distributions|Dependent variable not normally distributed]]
 
[[Data_distribution#Non-normal_distributions|Dependent variable not normally distributed]]
 
=====[[Poisson GLM|Dependent variable is count data]]=====
 
=====[[Poisson GLM|Dependent variable is count data]]=====
R commands:  <br>
+
R commands: glm,   <br>
Relevant figures:   <br>
+
Relevant figures: plot  <br>
  
 
=====[[Binomial GLM|Dependent variable is 0/1 or proportions]]=====
 
=====[[Binomial GLM|Dependent variable is 0/1 or proportions]]=====
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====[[Type III Anova|Type III Anova]]====
 
====[[Type III Anova|Type III Anova]]====
R commands:   <br>
+
R commands: Anova(car)  <br>
Relevant figures:   <br>
+
Relevant figures: boxplot  <br>
  
 
[[Data_distribution#Non-normal_distributions|Dependent variable not normally distributed]]
 
[[Data_distribution#Non-normal_distributions|Dependent variable not normally distributed]]
 
=====[[Poisson GLM|Dependent variable is count data]]=====
 
=====[[Poisson GLM|Dependent variable is count data]]=====
R commands:   <br>
+
R commands: glm  <br>
Relevant figures:   <br>
+
Relevant figures: plot  <br>
  
 
=====[[Binomial GLM|Dependent variable is 0/1 or proportions]]=====
 
=====[[Binomial GLM|Dependent variable is 0/1 or proportions]]=====
R commands:   <br>
+
R commands: glm  <br>
 
Relevant figures:  <br>
 
Relevant figures:  <br>
  
 
Are there random factor variables?
 
Are there random factor variables?
 
=====[[Generalised linear mixed effect models|Random factors]]=====
 
=====[[Generalised linear mixed effect models|Random factors]]=====
R commands:   <br>
+
R commands: glmer  <br>
 
Relevant figures:  <br>
 
Relevant figures:  <br>
  
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R commands:  <br>
 
R commands:  <br>
 
Relevant figures:  <br>
 
Relevant figures:  <br>
 
  
 
=[[#Multivariate statistics| Multivariate statistics]]<br>=
 
=[[#Multivariate statistics| Multivariate statistics]]<br>=

Revision as of 16:33, 23 January 2021


Start here with your data! This is your first question.

Do you have several continuous variables without clear dependencies? (?)
Yes!
No!

R commands:
Relevant figures:

Univariate statistics

Does you data contain at least one categorical variable?
Yes, I have at least one categorical variable! (?) (?)
R commands: str, summary, head, tail
Relevant figures:

Categorical variables

Chi-Square test

R commands: table
Relevant figures:

Categorical and continuous data

R commands: str, summary,
Relevant figures:

Does your data consist only of categorical variables? R commands:
Relevant figures:


Does you categorical dependent variables have 1-2 factor levels?

t-test

Does you categorical dependent variables have more than 2 factor levels?

Analysis of Variance

R commands: aov, lm
Relevant figures: boxplot

The dependent variable is normally distributed

Dependent variable normally distributed

Type II Anova

R commands: aov, lm
Relevant figures: boxplot


Dependent variable not normally distributed

Dependent variable is count data

R commands: glm,
Relevant figures: plot

Dependent variable is 0/1 or proportions

R commands:
Relevant figures:



Type III Anova

R commands: Anova(car)
Relevant figures: boxplot

Dependent variable not normally distributed

Dependent variable is count data

R commands: glm
Relevant figures: plot

Dependent variable is 0/1 or proportions

R commands: glm
Relevant figures:

Are there random factor variables?

Random factors

R commands: glmer
Relevant figures:


No, I have only continuous variables! (?) (?)

Continuous variables

Non dependent relations?

Correlations

Clear dependent relations

Regression models

Dependent variable normally distributed

Linear Regression

Dependent variable not normally distributed

Generalised linear model

Dependent variable is count data

Dependent variable is 0/1 or proportions

R commands:
Relevant figures:

Multivariate statistics

R commands:
Relevant figures:

Data is classified into groups

R commands:
Relevant figures:

CLuster analysis

R commands:
Relevant figures:

Supervised classification

R commands:
Relevant figures:

Unsupervised classification

R commands:
Relevant figures:

Network analysis

R commands:
Relevant figures:

Bipartite

R commands:
Relevant figures:

Tripartite

R commands:
Relevant figures:

Ordinations

R commands:
Relevant figures:

Linear based ordinations

R commands:
Relevant figures:

Correspondance analysis

R commands:
Relevant figures:



More than 2 categorical variables


Is your dependent variable normally distributed?
Is your dependent variable not normally distributed?

My data consists only of categorical variables

Does your independent variable contain only 1 or 2 groups?
Does your independent variable contain more than 2 groups?

Does your independent variable contain more than 2 groups?


Is your dependent variable normally distributed?
Is your dependent variable not normally distributed?



Does your independent variable contain more only 1 or 2 groups?



My data consists only of categorical variables


Multivariate statistics



Resterampe

[[At least one continuous and one categorical variable| More than 2 groups Analysis of Variance
Dependent variable normally distributed
INSERT TYPE II
INSERT RANDOM FACTOR
INSERT LMM

Dependent variable not normally distributed

Type III Anova

Dependent variable is count data

Dependent variable is 0/1 or proportions

Random factors