Description Usage Format Value Author(s) See Also
An object returned by the jointmeta1
function, inheriting from class
jointmeta1
and representing a fitted joint model for a single
longitudinal and a single time-to-event outcome for data from multiple
studies. Objects of this class have methods for the generic functions
confint
, fixef
, formula
and
ranef
. Additionally rancov
allows
the user to extract the estimated covariance matrices for the zero mean
random effects.
1 |
An object of class NULL
of length 0.
A list with the following components.
coefficients
a list with the estimated coefficients. The components of this list are:
fixed
the list of fixed effects for sub-models contained in the joint model. The components of this list are:
longitudinal
a data frame containing the estimated fixed effect coefficients from the longitudinal sub-model
survival
a numeric vector containing the estimated fixed effect coefficients from the longitudinal sub-model
random
the list of estimates random effects estimated by the joint model. The components of this list are:
random_ind
a list of matrices of length equal to the number
of studies in the dataset. Each matrix has number of columns equal to the
number of individual level random effects, and number of rows equal to the
number of individuals in the study. As jointmeta1
insists on the
presence of random effects at the individual level, this item will always
be present.
random_stud
a matrix with number of columns equal to the number of study level random effects, number of rows equal to the number of studies in the dataset. This item is only present if study level random effects are specified in the model fit.
latent
a numeric containing the estimates of the latent
association parameters for each level of the random effects. The
association parameter for the individual level random effects is labelled
gamma_ind_0
, and for the study level random effects is labelled
gamma_stud_0
.
sigma.e
a numeric holding the estimate of the variance of the measurement error variance
rand_cov
a list containing the covariance matrices for the
random effects included in the model. The covariance matrix for the
individual level random effects is labelled D
. If study level
random effects are included in the model, the covariance matrix for the
study level random effects is also included in the list, labelled
A
.
hazard
if strat = FALSE
in the function call for
jointmeta1
then this is a numeric vector containing the common
baseline across all studies. If strat = TRuE
then this is a list of
numeric vectors, each of which is the baseline hazard for each study in the
dataset.
loglik
a list containing the overall likelihood for the joint
model (labelled jointlhood
), and the portions of the likelihood
attributable to each sub-model (jointy
for the longitudinal
component and jointn
for the survival component).
numIter
the number of EM algorithm iterations completed during the fitting of the joint model
convergence
a logical value, takes a value of TRUE
if
convergence was achieved within the set maximum number of iterations,
FALSE
otherwise.
sharingstrct
a character string denoting the specified
sharing structure used in the joint model. Currently only
'randprop'
is supported, denoting zero mean random effects sharing
structure (see Wulfsohn and Tsiatis (1997)).
sepests
A list containing estimates from the separate
longitudinal and survival analyses. If separate results are not requested,
the elements of the list are set to 'No separate results requested'.
However, if separate analyses are requested in the jointmeta1
function call, the components of this list are:
longests
a list containing estimates from the initial longitudinal fit. The components of this list are:
beta1
a data frame of the estimates of the fixed effects from the longitudinal sub-model
sigma.e
the value of the variance of the measurement error from the longitudinal sub-model
D
the estimate of the covariance matrix for the individual level random effects. Individual level random effects are always included in the joint model
A
the estimate of the covariance matrix for the study level
random effects. This is only present if study level random effects are
specified in the jointmeta1
function call.
log.like.long
the numeric value of the log likelihood for the initial longitudinal model.
randstart.ind
a list of the conditional modes of the individual level random effects in each study given the data and the estimates of the separate longitudinal model parameters
randstart.ind.cov
a list of the conditional covariance matrices for each individual for the individual level random effects given the data and the estimates of the separate longitudinal model parameters
randstart.stud
a data frame containing the conditional modes
of the study level random effects given the data and the estimates of the
separate longitudinal model parameters. This is only present if study
level random effects were specified in the jointmeta1
function call.
randstart.stud.cov
a list of conditional covariance matrices
for each study for the study level random effects given the data and the
estimates of the separate longitudinal model parameters. This is only
present if study level random effects were specified in the
jointmeta1
function call.
modelfit
the initial longitudinal model fit. The model has
the same specification as the longitudinal sub-model for the joint model,
fitted using the lmer
function from package
lme4
survests
a list containing estimates from the initial survival fit. The components of this list are:
beta2
vector of the estimates of the fixed effects included in the survival model.
haz
if strat = TRUE
then this is a list of numeric
vectors of length equal to the number of studies in the dataset, giving the
study specific baseline hazard. If strat = FALSE
then the baseline
is not stratified by study, and this is one numeric vector giving the
common baseline across studies.
rs
a counter to indicate the last how many unique event times had occured by the individual's survival time - this is for use during further calculation in the joint model EM algorithm. If a stratified baseline this is a list of numerical vectors, whereas if the baseline is not stratified this is a single numeric vector.
sf
the unique event times observed in the dataset. If a stratified baseline this is a list of numerical vectors, whereas if the baseline is not stratified this is a single numeric vector.
nev
a counter of the number of events that occur at each event time.If a stratified baseline this is a list of numerical vectors, whereas if the baseline is not stratified this is a single numeric vector.
log.like.surv
a numeric containing two values, the
log-likelihood with the initial values and the log-likelihood with the
final values, see coxph.object
modelfit
the initial survival model fit. The model has the
same specification as the survival sub-model for the joint model, fitted
using the coxph
function from package
survival
sep.loglik
a list containing the log-likelihoods estimated
from the separate analyses. It contains three elements, namely
seplhood
- the sum of the log-likelihoods from the separate
longitudinal and the separate survival analyses, sepy
- the
log-likelihood from the separate longitudinal analysis, sepn
- the
log-likelihood from the separate survival analysis.
data
the jointdata
object containing
the data the joint model was fitted to
call
the function call supplied to the jointmeta1
function.
numstudies
an integer containing the number of studies present in the data used to fit the joint model
n.bystudy
a numeric vector containing the number of individuals present in each study in the data used to fit the joint model. This will be less than the number of individuals in the supplied dataset, if missing data is present in variables included in the model.
missingids
the ids of any individuals excluded from the analysis due to missing data
nobs
a table containing the number of longitudinal measurements supplied by each study in the data used to fit the model. This will be less than the number of longitudinal measurements in the dataset supplied to the function call, if missing data is present in variables included in the model
Maria Sudell (mesudell@liverpool.ac.uk)
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