An initial path towards statistical analysis
Start here with your data! This is your first question.
How do I know?
- Inspect your data with
str
orsummary
. Are there several variables? - What does the data show? Does the underlying logic of the data suggest dependencies between the variables?
Example: Inspecting the swiss dataset
Contents
Univariate statistics
How do I know?
- Check the entry on Data formats to understand the difference between categorical and numeric variables.
- Investigate your data using
str
orsummary
. integer and numeric data is not categorical, while factorial and character data is.
Categorical variables
How do I know?
- Investigate your data using
str
orsummary
. integer and numeric data is not categorical, while factorial and character data is.
LINK LEFT TO CHI SQUARE TEST R EXAMPLE
Categorical and continuous data
R commands: quantile(), str, summary,
Does you categorical dependent variables have 1-2 factor levels?
Yes, my categorical dependent variables has 1-2 factor levels!
No, my categorical dependent variables more than 2 factor levels!
One or two factor levels
t-test
R commands: t.test, t_test Relevant figures:
Analysis of Variance
R commands: aov, Anova, ezAnova, var.test(), lm
Relevant figures: boxplot()
Is your dependent variable normally distributed?
R commands: ks.test, shapiro.test, hist
Yes, my dependent variable is normally distributed!
No, my dependent variable is binomial distributed!
No, my dependent variable is Poisson distributed!
Gaussian Anova
R commands: aov, lm
Relevant figures: boxplot
Is your dependent variable binomial or Poisson
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, glmmPQL
Relevant figures:
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
How do I know?
- In an Ordination, you arrange your data alongside underlying gradients in the variables to see which variables most strongly define the data points. Check the entry on Ordinations (to be added) to learn more.
- In a Cluster Analysis, you group your data points according to how similar they are, resulting in a tree structure. Check the entry on Clustering Methods to learn more.
- In a Network Analysis, you arrange your data in a network structure to understand their connections and the distance between individual data points. Check the entry on Social Network Analysis to learn more.
Data is classified into groups
R commands:
Relevant figures:
Cluster analysis
DIFFERENCE BETWEEN SUPERVISED AND UNSUPERVISED?? DISTINCTION NOT MADE IN THE CLUSTERING ENTRY
How do I know?
TAKE OUT LINK TO CLUSTERING METHODS ENTRY???
Supervised classification
R commands:
Relevant figures:
Unsupervised classification
R commands:
Relevant figures:
Network analysis
How do I know?
- Check your data using the R code ADD CODE
ADD MORE BELOW
Bipartite
If your data has two different kinds of nodes, your network is called a "bipartite" network.
R commands:
- is_bipartite(graph)
- make_bipartite_graph(types, edges, directed = FALSE)
Tripartite
R commands:
Relevant figures:
Ordinations
How do I know?
- Check the entry on Data formats to learn more about the different data formats.
- Investigate your data using
str
orsummary
. Abundance data is marked as FORMATNAME, and continuous data is marked as FORMATNAME.
MAKE THE STUFF BELOW CLEARER
Linear-based ordinations
Linear-based ordinations are... It uses Euclidean distances, which is...
R commands:
Relevant figures:
Correspondance analysis
A correspondence analysis is... It uses Jaccard distances, which is...
R commands:
Relevant figures:
Is your dependent variable normally distributed?
Is your dependent variable not normally distributed?
Does your independent variable contain only 1 or 2 groups?
Does your independent variable contain more than 2 groups?
Is your dependent variable normally distributed?
Is your dependent variable not normally distributed?
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
Dependent variable is count data
Dependent variable is 0/1 or proportions