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Techniques for analyzing the relationship between one (or more) "dependent" variables and "independent" variables.

0 votes

Question about the way to interpret the multinomial / binomial regression coefficients in ca...

Internally, in regression (including logistic regression), nominal variables are treated as numbers, with possible values being 0 and 1. …
Igor F.'s user avatar
  • 9,678
10 votes

Confusion in classification and regression task exception

Depending on the 'link function' they can be used for linear regression, Poisson regression, logistic regression (which would give you probabilities and allow for classification), and many more. … For example, if you assume that the noise is additive and Gaussian, this leads to ordinary linear regression. …
Igor F.'s user avatar
  • 9,678
0 votes

Coefficient for linear and non-linear regression

You can most likely interpret your regression as a linear regression over non-linearly transformed variable. What matters is your loss function. … Mean absolute error is likely to be correlated, but a less suitable measure than $R^2$ -- unless, of course, your regression is minimising the sum of absolute errors. …
Igor F.'s user avatar
  • 9,678
1 vote
0 answers
25 views

What is so special about interactions in regression? [duplicate]

I was recently asked why I haven't analysed interactions in my (predictive) regression model (I understood "interactions" here to mean products of predictor variables). …
Igor F.'s user avatar
  • 9,678
6 votes
Accepted

Fitting a Regression Model to log-log distributed data

Two points: Your data are log-log scaled. So why don't you take the logs of them? Since you expect a sigmoid function behind the data, why not trying fitting it to the data? Below, I model your lo …
Igor F.'s user avatar
  • 9,678
1 vote
1 answer
38 views

How to model toxicity curves

I have curves, describing survival of cells in a toxic agent: One curve per cell line, the concentration of the agent on the x-axis and the fraction of survived cells on the y-axis: I'd like to dra …
Igor F.'s user avatar
  • 9,678
8 votes
2 answers
2k views

How to properly perform predictions in ordinal regression?

Proportional odds logistic regression predicts probabilities for each level $l$, conditioned on the predictor $x$: $$ P(y = l ~|~ x) \text{ for every } l \in L $$ But in practice we mostly simply want …
Igor F.'s user avatar
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0 votes
Accepted

Am I fundamentally misunderstanding the net input dot product w*x

The formula your "most books" give cannot be right because, in general, $N \neq D$. Consequently, you cannot multiply a row vector of length $D$ with a matrix containing $N$ rows. Thats simple linear …
Igor F.'s user avatar
  • 9,678
1 vote
Accepted

Comparison of Models for Margin and Win Prediction

In case I'm not missing anything from your explanation (some data and details of the model would be useful, though), I guess the reason lies in the different error functions the two models use. In the …
Igor F.'s user avatar
  • 9,678
0 votes

Which loss funtion should i use in Regression problems?

It depends on the probability distributions of the errors, unexplained differences between your model and the observed data. MSE is appropriate when you expect the errors to be normally distributed. T …
Igor F.'s user avatar
  • 9,678
0 votes

Determining the Weight of Categorical Variable's Coefficient

Your "education" variable is not simply categorical, it is ordinal. High school is more than no school, undergraduate school is more than nothing or high school etc. Ordinal variables can be thought o …
Igor F.'s user avatar
  • 9,678
2 votes
1 answer
91 views

Computing the power for binomial regression with indicator variables

For an experiment I'm designing, I want to model the outcomes by a binomial regression, something like bmodel <- glm(cbind(succ, (N - succ)) ~ x + x_ind, data = tb1, family = "binomial") where x_ind … The answer to the above linked question explains how to compute the power for binomial regression when the predictor is continuous: $$ \gamma = 1 - {\bf{\Phi}}(1.96-\vert\beta\vert\sigma_x \sqrt{(np(1- …
Igor F.'s user avatar
  • 9,678
3 votes
0 answers
121 views

significance in linear regression with constraints

I'd like to have something equivalent to the F-test as in linear regression. … I have checked regression with constraints, How can I add minimum and maximum constraints to a coefficient in a regression in R? …
Igor F.'s user avatar
  • 9,678
1 vote
0 answers
127 views

Regression when $X$ is random and unobservable

I have read Simple linear regression model with random x, Regression with random X, Find P(Y=y | X=x) when X is a continuous random variable, and What are the Differences in Linear Regression of Y vs X …
Igor F.'s user avatar
  • 9,678
8 votes

Cannot seem to find a statistical difference despite a clear difference in the dataset

I tried to replicate @dimitriy's results in Python and got slightly different results: Logit Regression Results =================================== … To my knowledge, people use 0-2 / 3-6, or even trichotomise (0-2, 3-5, 6), in which case ordinal regression needs to be used. …
Igor F.'s user avatar
  • 9,678

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