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5
votes
Accepted
AICc and K for categorical factors and interactions
And add one for the intercept and another one for the estimate of $\sigma^2\,$! … (intercept, slope, variance). …
10
votes
Visualization of a mixed effect logistic regression model?
This isn't really an option for your case since you are using categorical variables, but for reference one can also plot regressions using the overall fixed effect and the random effect variation in regression … intercepts/slopes, either by drawing the regression lines by random cluster or by faceting them like below.
hdp %>%
filter(DID %in% c("4","6","7","11")) %>%
ggplot(aes(x=IL6,
y=remission …
9
votes
Accepted
Comparing lavaan::sem to probit regression output
Currently, I see that the coefficients for each approach are approximately the same, but the regression intercept is negative, and the sem value is positive
Actually, the intercept (y~1) is 0 in the lavaan … peaked at the data, we know the intercept is below the threshold, so let's set the latent intercept to 0 and the threshold to 1. …
10
votes
Multilevel model vs. separate models for each level
Then, at page 55, he writes:
An ordinary single-level regression model for the same data would
estimate only the intercept, one error variance, and p + q regression
slopes. … If we have 100
groups, estimating an ordinary multiple regression model in each group
separately requires estimating 100 × (1 regression intercept + 1
residual variance + p regression slopes) plus …
14
votes
'Size' of intercept at linear regression
Your software should let you fit a regression with no predictor at all. … For example, if I try to predict people's weights with a regression with no predictors, then I will get the mean weight as a prediction. That will be shown as the intercept or constant. …
7
votes
How do you set your own intercept in SPSS?
Bear in mind that doing this is subject to all the same caveats as forcing your regression line to go through $0$ (cf., When is it ok to remove the intercept in lm()? … , & When forcing intercept of 0 in linear regression is acceptable/advisable). …
15
votes
Accepted
a regression through the origin
Note however that this example will typically exhibit a significant intercept in the model with intercept. … Under this model and assuming $E(x_i\epsilon_i)=0$ for simplicity (i.e. no further misspecification than a missing intercept), the plim for the OLS estimator $\hat\beta=\sum_ix_iy_i/\sum_ix_i^2$ of a regression …
8
votes
Accepted
Orthogonalized regression reference?
Note that the intercepts are differents; the residual $z_i$ are centered so the intercept of eg the regression y ~ z1 is just the mean of $y$ (and similarly for $z_2$, $z_3$). … Once you get the $\hat \beta_i$ it is not difficult to find the intercept of the classical regression. …
8
votes
'Size' of intercept at linear regression
Intercept Interpretation in Model 1
For Model 1, the (true) intercept represents the average value of IQ in the target population for those subjects for whom Brain size is equal to 0. … Note, however, that slope coefficients in the two regression models you have here are interpretable even if the intercept has no meaningful interpretation in practice. …
6
votes
Linear regression with negative estimated value for intercept
No, a negative value of intercept does not suggest that the regression line provides “poor fit to the data”. Why not? Because the intercept is not a measure of fit for a regression. … WP:EN s.v. y-intercept
See KDG's answer for an illustration. …
9
votes
Deliberately fitting a model without intercept
The intercept in a linear regression model may represent two totally different things:
A) Your theoretical model may lead you to a specification with a constant term. … To linearize this model we take the logs of the variable and we arrive at
$$\ln Q = \ln A +a\ln K + b\ln L$$
Including an error term we have an econometric linear regression specification -and the constant …
5
votes
"manually" weighted regression
has an intercept but the software uses the without-intercept formula for R-squared on the "transformed" linear regression. … # While transformed linear regression doesn't have an intercept,
# what matters is whether the weighted regression has an intercept or not. …
7
votes
How does the inclusion of an intercept change the variability of the residual?
As mentioned before it is sort of hard to justify not using an intercept unless there is strong knowledge that the linear regression line passes through the origin. … Now on the other hand, imagine that the true model that generated the data does not have an intercept (so the linear regression passes through zero). …
32
votes
The difference between with or without intercept model in logistic regression
It will almost never be meaningful to use the no intercept model in logistic regression. … If that is untrue, you cannot trust any inference from the no intercept model. …
22
votes
When forcing intercept of 0 in linear regression is acceptable/advisable
The problem is, if you fit an ordinary linear regression, the fitted intercept is quite a way negative, which causes the fitted values to be negative. … It's almost as easy as fitting a regression in R. …