Displaying 14 results from an estimated 14 matches for "beta_".
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2010 Aug 13
2
How to compare the effect of a variable across regression models?
...ompare the effect of a variable across
regression models. I have looked around but I haven't found anything. Maybe
someone could help? Here is the problem:
I am studying the effect of a variable (age) on an outcome (local recurrence:
lr). I have built 3 models:
- model 1: lr ~ age y = \beta_(a1).age
- model 2: lr ~ age + presentation variables (X_p) y = \beta_(a2).age +
\BETA_(p2).X_p
- model 3: lr ~ age + presentation variables + treatment variables( X_t)
y = \beta_(a3).age + \BETA_(p3).X_(p) + \BETA_(t3).X_t
Presentation variables include variables such as tumor g...
2011 Jun 22
2
VGAM constraints-related puzzle
...ome, y, and am fitting multinomial
logistic regression with one predictor x. What I would like to find
out is, is there a single nonlinear function f(x) which acts in place
of the linear predictor x. There is a mechanistic reason to believe
this is sensible. So I'd like to fit a model
\eta_j = \beta_{ (j) 0 } + \beta_{ (j) x } f(x)
where both the function f(x) and its scaling coefficients \beta_{ (j)
x } are fit simultaneously. Here \eta_j is the linear predictor, the
logodds of outcome j vs the reference outcome. I cannot see how to fit
exactly this. Instead I seem to be able to do the follow...
2007 Feb 02
1
multinomial logistic regression with equality constraints?
I'm interested in doing multinomial logistic regression with equality
constraints on some of the parameter values. For example, with
categorical outcomes Y_1 (baseline), Y_2, and Y_3, and covariates X_1
and X_2, I might want to impose the equality constraint that
\beta_{2,1} = \beta_{3,2}
that is, that the effect of X_1 on the logit of Y_2 is the same as the
effect of X_2 on the logit of Y_3.
Is there an existing facility or package in R for doing this? Would
multinomRob fit the bill?
Many thanks,
Roger
--
Roger Levy Email: rlevy at...
2011 Jan 03
1
Greetings. I have a question with mixed beta regression model in nlme.
...a question with nlme package
in R to fit a mixed beta regression model. The details of the model are:
Suppose that:*
*j in {1, ..., J}* *(level 1)*
*i in {1, ..., n_j}* *(level 2)*
*y_{ij} ~ Beta(mu_{ij} * phi_{ij}; (1 - mu_{ij}) * phi_{ij})
y_{ij} = mu_{ij} + w_{ij}
*
*with*
*logit(mu_{ij}) = Beta_{0i} + Beta_{1i} * x1_{ij} + b2 * x2_{ij}
log(phi_{ij}) = Gamma_{0i} + Gamma_{1i} * z1_{ij} + c2 * z2_{ij}
*
*Beta_{0i} = b_0 + u_{0i}
Beta_{1i} = b_1 + u_{1i}
Gamma_{0i} = c_0 + v_{0i}
Gamma_{1i} = c_1 + v_{1i}
*
*The vector* *(u_{0i}, u_{1i})'* *has normal distribution with mean*
*(0, 0)'*...
2011 Jan 03
0
Greetings. I have a question with mixed beta regression model in nlme (corrected version).
...arameter in the mixed
beta regression model. In any case, here I send you the correct formulation.
**
Suppose that:*
*j in {1, ..., J}* *(level 1)*
*i in {1, ..., n_j}* *(level 2)*
*y_{ij} ~ Beta(mu_{ij} * phi_{ij}; (1 - mu_{ij}) * phi_{ij})
y_{ij} = mu_{ij} + w_{ij}
*
*with*
*logit(mu_{ij}) = Beta_{0i} + Beta_{1i} * x1_{ij} + b_2 * x2_{ij}
log(phi_{ij}) = Gamma_{0i} + Gamma_{1i} * z1_{ij} + c_2 * z2_{ij}
*
*Beta_{0i} = b_0 + u_{0i}
Beta_{1i} = b_1 + u_{1i}
Gamma_{0i} = c_0 + v_{0i}
Gamma_{1i} = c_1 + v_{1i}
*
*The vector* *(u_{0i}, u_{1i})'* *has normal distribution with mean*
*(0, 0)'...
2010 Oct 13
5
Poisson Regression
Hello everyone,
I wanted to ask if there is an R-package to fit the following Poisson
regression model
log(\lambda_{ijk}) = \phi_{i} + \alpha_{j} + \beta_{k}
i=1,\cdots,N (subjects)
j=0,1 (two levels)
k=0,1 (two levels)
treating the \phi_{i} as nuinsance parameters.
Thank you very much
--
-Tony
[[alternative HTML version deleted]]
2004 Oct 08
1
nlme vs gls
...as I cannot turn
up a solution anywhere else. I will frame it in the context of an R
related issue.
To illustrate the problem, consider student achievement test score data
with multiple observations available for each student. One way of
modeling these data might be
Y_{ti} = (\mu + \mu_{i} ) + (\beta_0 + \beta_{i} )*(time) +
\epsilon_{ti} ; t indexes time and i indexes student
The nlme code is
tt<-lme(reponse~time, data, random=~time|ID)
With this, I can extract the growth rate for each individual in the data
set. Conceptually this is the sum of the main effect for time plus the
empirical...
2006 Dec 12
3
expression()
...x", and I'm trying:
mtext(paste(expression(beta),"max"),side=1,line=2)
simply writes "beta max" in the plot.
Please, Could you tell me what I'm doing wrong?
By the way, is there a way to add Latex expressions to graphics? Then I
could use the Latex expression: $\beta_{\mathrm{max}}$. This also would
be very useful for me for more complex expressions in plots.
Best regards,
Javier
--
Javier Garc?a-Pintado
Institute of Earth Sciences Jaume Almera (CSIC)
Lluis Sole Sabaris s/n, 08028 Barcelona
Phone: +34 934095410
Fax: +34 934110012
e-mail:jgarcia at ija.csic...
2005 Dec 01
1
Kalman Smoothing - time-variant parameters (sspir)
...one-factor model, If I am trying to do a simple regression where
I assume the intercept is constant and the 'Beta' is changing, how do
I do that? How do i Initialize the filter (i.e. what is appropriate to
set m0, and C0 for the example below)?
The model I want is: y = alpha + beta + err1; beta_(t+1) = beta_t + err2
I thought of the following:
library(mvtnorm) # (1)
library(sspir)
# Let's get some data so we can all try this at home
dfrm <- data.frame(
y =
c(0.02,0.04,-0.03,0.02,0,0.01,0.04,0.03,-0.01,0.04,-0.01,0.05,0.04,
0.03,0.01,-0....
2009 Oct 18
1
function to convert lm model to LaTeX equation
..., "", co)
if(abbreviate == TRUE) {
co.n <- abbreviate(gsub("p.*)", "", co), minlength=abbrev.length)
}
# Get and format DV
m.y <- strsplit((as.character(object$call[2])), " ~ ")[[1]][1]
# Write coefficent labels
b.x <- paste("\\beta_{", co.n ,"}", sep="")
# Write error term
e <- "\\epsilon_i"
# Format coefficint x variable terms
m.x <- sub("}Int","}", paste(b.x, co.n, " + ", sep="", collapse=""))
# If inline estimates convert coeffici...
2002 Aug 29
8
lme() with known level-one variances
...sion coefficients (and estimated standard errors) from identical
models fit to different data sets. I would like to use these results
to create pooled estimated regression coefficients and estimated
standard errors for these pooled coefficients. In particular, I would
like to estimate the model
\beta_{i} = \mu + \eta_{i} + \epsilon_{i}
\eta_{i} ~ iid N(0,\tau^2) and independent of the \epsilon_{i}, the
latter themselves being independent with variances assumed known and
equal to the squared standard errors reported in the regression
output.
I would like to use lme() to estimate \tau^2 by REML,...
2011 Mar 28
0
glm: calculating average marginal effects for dummies
...s someone knowledgable on this list could offer some help.
I have estimated a binary logistic regression model and would like to
calculate average marginal effects for certain predictors of interest.
The average marginal effect for a continuous variable cont has been
given as
AME_cont = 1/n * SUM(beta_{cont} * prob(Y)* 1-prob(Y))
This seems easy enough to calculate with R.
However, the predictors I'm interested in are dummy variables, not
continuous, and the following formula has been suggested for
estimating the average marginal effect for dummies:
AME_dummy = 1/n*SUM(prob(Y| dummy=1) - p...
2008 Aug 29
3
extract variance components
HI,
I would like to extract the variance components estimation in lme function
like
a.fit<-lme(distance~age, data=aaa, random=~day/subject)
There should be three variances \sigma_day, \sigma_{day %in% subject } and
\sigma_e.
I can extract the \sigma_e using something like a.fit$var. However, I cannot
manage to extract the first two variance components. I can only see the
results in
2010 Oct 15
0
nomianl response model
...t.org
Subject: [R] Poisson Regression
Message-ID:
<AANLkTikXc5tvziGaxuV1GqM3CgNyPPpay-FQCC6uzQWE at mail.gmail.com>
Content-Type: text/plain
Hello everyone,
I wanted to ask if there is an R-package to fit the following Poisson
regression model
log(\lambda_{ijk}) = \phi_{i} + \alpha_{j} + \beta_{k}
i=1,\cdots,N (subjects)
j=0,1 (two levels)
k=0,1 (two levels)
treating the \phi_{i} as nuinsance parameters.
Thank you very much
--
-Tony
[[alternative HTML version deleted]]
------------------------------
Message: 109
Date: Wed, 13 Oct 2010 14:54:39 -0600
From: Alisa Wade <alisaww a...