# Questions tagged [back-transformation]

Back transformation refers to efforts to reverse the effects of a transformation of one or more variables. Usually, the transformation has been done to meet assumptions of a model, but interest is in the original variable(s).

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### What should I back transform beta coefficients when my dependent variable is fractionally exponentiated in R

I have this mixed effects regression model. To create a normal distribution in continuous scale dependent variable, I fractionally exponentiated it: ...
186 views

### Back Transforming log-log Model for Prediction

I have a model that is log-log and I would like to make raw predictions of $Y$ with it: $\ln(Y) = B_0 + B_1\ln(X)$ All answers and articles I have found concerning back transforming for prediction ...
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### Variance decomposition with Tweedie distribution – back transform necessary?

We are running a hierarchical random intercept model with a Tweedie distributed dependent variable (see below) and three levels of hierarchy. Our aim is to estimate how much of the total variance (in ...
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### Back Transformation of Predicted Y from Log 10 Transformed Model Data

I am using a General Linear Model for Analysis in Minitab. I have two questions. I had two responses variables which I transformed using Log10 as there was evidence from the residual plots of some ...
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### Equivalent GLM's for common stabilising transformations

I'm familiar with applying a log-transform to a skewed outcome variable to improve model fit, but I've not thought further to link stabilising transforms to GLM's in general. Reading around it seems ...
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### Backtransforming a probabilistic forecast?

Let's say that we have a probabilistic forecast for the future percentage return of an asset in the form of a probability density, $\hat{R}_{t+1}$. If our initial goal was to create a probabilistic ...
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### How to back transform a folded power transformation?

I work with a dependent variable with values from 0 to 1 and because I have a lot of 0 and 1 in this variable, i'm doing a folded power transformation with the following formular: y = x^0.5 - (1-x)^0....
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### Can principal components changed by a normalization method be used to construct original data shape with SVD

I'm planning to use an algorithm called Harmony, designed for data normalization, particularly in the context of single cell data analysis. Harmony operates by taking principal components (PCs) as ...
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### First difference in logs transformation produces biased results on back-transformation [duplicate]

I have a strongly trended series where the trend appears to be exponential and I believe the errors tend to be proportional to the current value. In order to convert it to a stationary series for ...
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1 vote
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### Reversing Log-transformed target after training : r2 score interpretation

I have been running a log-transform on my target values because the distribution appears to be highly right skewed as you can see in the picture. After having called ...
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### Multiple linear regression - assumption of normaly distributed estimates

In linear regression, there is said that normal distribution of residuals is required. Other than that I have found that it can be violated if the dataset is large enough. But what is large enough? Is ...
1 vote
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### How to interpret a transformed linear regression model

I'm playing with the trafo R-package and this small data. After using the assumptions function, I found the log shift opt transformation is the best for normalizing ...
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### Back-transformation in pairs function (lmer analysis)

I'm running lme4 and Im working with a dataset where the variables a,d,e are logtransformed. I wonder how to handle back-transformation concerning the "pairs" function. How do I get the ...
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### Back transformed Median of log normal data, not equal to median of original data

l was working with these data: 160,320,160,160,320,320,160,320,160,320,160,320. I needed to calculate the median so decided to calculate while the data was log transformed and I would just back ...
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### Backtransform a log-odds transformation of the dependent variable in a Fixed Effects panel regression

I'm modeling a fixed effects (within) panel regression for a fractional dependent variable (DV) bounded between 0 and 1. My aim is to model the relationship so that I can predict the frational DV on ...
1 vote
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### How to back-transform ANOVA data?

I have been having trouble grasping the idea of back-transforming data in R. Let's assume that I would like to perform an ANOVA on transformed data. I transform the response variable and all the ...
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