Description Usage Arguments Details Value
Joint modelling for longitutal and censored data with competing risks
1 2 3 4 5 6 7 8 9 10 11 12 | linearTest(
object,
coeff = c("beta", "gamma", "alpha"),
La = "identity",
Lb = "identity",
Lg = "identity",
Ca = 0,
Cb = 0,
Cg = 0,
digits = 4,
...
)
|
object |
The JMcmprsk object returned by either jmo or jmc function. |
coeff |
Types of coefficients selected for Wald. Note "alpha" is only avaiable to jmo type JMcmprsk object. |
La |
Linear contrast of the fixed effects of non-proportional odds covariates * (# of levels of the outcome - 2) in the longitudinal part. Default is "identity", i.e., all the fixed effects equal to zero. Otherwise, La must be a matrix. |
Lb |
Linear contrast of the fixed effects of proportional odds covariates in the longitudinal part. Default is "identity", i.e., all the fixed effects equal to zero. Otherwise, Lb must be a matrix. |
Lg |
Linear contrast of the fixed effects of covariates * # of competing risks in the survival part. Default is "identity", i.e., all the fixed effects equal to zero. Otherwise, Lg must be a matrix. |
Ca |
The hypothesized value of linear combination of the fixed effects of non-proportional odds covariates * (# of levels of the outcome - 2) in the longitudinal part. Default is 0. Otherwise, Ca must be a number / vector. |
Cb |
The hypothesized value of linear combination of the fixed effects of proportional odds covariates in the longitudinal part. Default is 0. Otherwise, Cb must be a number / vector. |
Cg |
The hypothesized value of linear combination of the fixed effects of covariates * # of competing risks in the survival part. Default is 0. Otherwise, Cg must be a number / vector. |
digits |
number of digits to be printed out. |
... |
further arguments passed to or from other methods. |
Wald test statistic is used for hypothesis testing on multiple parameters:
H_0: Lθ = C vs: H_1: Lθ \neq C
The test statistic is:
(L\hat{θ} - C)'(L\hat{V_{θ}}L)^{-1}(L\hat{θ} - C) \sim χ_q^2,
where \hat{V_{θ}} is the estimate of covariance of the parameter θ and q is the rank of the linear contrast L.
Return a Wald test statistic and the p value
beta | The Wald test for fixed effects for the longitutal part,i.e. β in jmo or jmc output. |
gamma | The Wald test for fixed effects for the survival part,i.e. γ in jmo or jmc output. |
alpha | The Wald test for non-proportional odds covariates,i.e. α in jmo output. |
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