Questions tagged [dirichlet-regression]
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19 questions
0 votes
1 answer
80 views
Bayesian multinomial dirichlet regression (using user specific information) model for purchase counts across several products
Suppose user $i$ has purchase history of $J$ products $q_i^1,\ldots,q_i^J$. Also, values of $K$ user characteristics (gender, for example) are known $x_i^1,\ldots,x_i^K$. I want to build Bayesian ...
- 1,084
3 votes
1 answer
98 views
How do I compare explanatory power of Dirichlet regression with other models?
I have a dataset with 7 variables expressed in % of the total (i.e. one of the constraints is that sum of the variables = 100%). I am looking at Dirichlet regression in R for the first time (I am ...
1 vote
1 answer
147 views
Beta regression - simultaneously tracking all components so that proportions sum to 1.0
I am trying to fit a beta regression model in R with the outcome variable representing proportions, so that the model accounts for all of the constituents of the whole fraction. I am unclear how to ...
- 186
0 votes
0 answers
56 views
Statistical analysis of compositional data - what test to use?
For one of my studies, I am playing with what seems to be a compositional data. In short, I have some signal that I decompose in 4 frequency bands (B1 to B4) in a way that I get the relative ...
- 11
5 votes
2 answers
1k views
Dirichlet distribution with correlated components?
I am working with models that use Dirichlet distributions. However, I want to account for correlations between components. If this question is a duplicate, I'd also appreciate any pointers to the ...
4 votes
2 answers
574 views
Computation of ratio with Dirichlet distribution
I would like to compute ratio of proportions coming from a Dirichlet distribution. My understanding is that each proportion should be treated as a random variable and therefore I should use Taylor ...
- 51
1 vote
0 answers
174 views
Dirichlet for panel data: correlated random effects?
I was wondering whether I can apply a Dirichlet regression model to panel data (using either dirifit in Stata or DirichReg in R)?...
- 143
2 votes
0 answers
871 views
How to fit a Dirichlet mixed effect model in R?
I have a compositional data from an arena experiment in which the duration of an animal in specific zones was denoted. The time in the arena was fixed for all individuals which makes the durations ...
- 21
7 votes
1 answer
1k views
How does one Interpret a Dirichlet regression output?
I have been exploring the Dirichlet regression in R to analyze my ecological dataset and in the summary output is have several coefficient estimates. How do I interpret this output?
- 81
1 vote
1 answer
172 views
How to deal with negative proportions in Dirichlet Regression
I am trying to work on a Dirichlet regression problem where I look at three true proportions the first two are actually measured while the third is computed as the complement: $$p_3=1-p_1-p_2$$ The ...
- 33
2 votes
0 answers
63 views
Restriction and dependence in the Dirichlet distributon
The Dirichlet distribution is sometimes said that it is "too restrictive and imposes strong conditions on the dependence between components". What is the reason?
- 179
0 votes
0 answers
56 views
Compare dependent categories over time?
I have a dataset with 50 individuals. 25 are exposed to a substance on low concentration, 25 are exposed to a substance on high concentration over time. I have 4 categories that represent different ...
- 163
2 votes
2 answers
1k views
Is it possible to fit a Dirichlet Regression to changing response variables?
A toy problem to illustrate my issue: We put a 100 people in a room with 10 candy bars. Each bar is different and has a different brand, flavor, size, color, etc. We ask each person in the group to ...
- 165
1 vote
1 answer
115 views
Modeling probability mass over time for prediction
Consider a discrete random variable $X$ with three possible realizations $x_1,x_2,x_3$. This variable is observed over time, with the number of observations per point in time varying. The top ...
- 2,884
0 votes
0 answers
293 views
Is fair to compare Dirichlet to a Multivariate Beta regression?
I am conducting some analysis on my data I found a strange behavior and would greatly appreciate some guidance or suggestions. I am trying to investigate the effect of a categorical variable (cl) to ...
