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msm (version 0.5.2)

qratio.msm: Estimated ratio of transition intensities

Description

Compute the estimate and approximate standard error of the ratio of two estimated transition intensities from a fitted multi-state model at a given set of covariate values.

Usage

qratio.msm(x, ind1, ind2, covariates = "mean", cl = 0.95)

Arguments

x
A fitted multi-state model, as returned by msm
ind1
Pair of numbers giving the indices in the intensity matrix of the numerator of the ratio, for example, c(1,2).
ind2
Pair of numbers giving the indices in the intensity matrix of the denominator of the ratio, for example, c(2,1).
covariates
The covariate values at which to estimate the intensities. This can either be: the string "mean", denoting the means of the covariates in the data (this is the default), the number 0, indicating that all the covariates s
cl
Width of the symmetric confidence interval to present. Defaults to 0.95.

Value

  • A named vector with elements estimate, se, L and U containing the estimate, standard error, lower and upper confidence limits, respectively, of the ratio of intensities.

Details

For example, we might want to compute the ratio of the progression rate and recovery rate for a fitted model disease.msm with a health state (state 1) and a disease state (state 2). In this case, the progression rate is the (1,2) entry of the intensity matrix, and the recovery rate is the (2,1) entry. Thus to compute this ratio with covariates set to their means, we call

qratio.msm(disease.msm, c(1,2), c(2,1)) .

Standard errors are estimated by the delta method. Confidence limits are estimated by assuming normality on the log scale.

See Also

qmatrix.msm