The function nmathresh
returns S3 objects of class thresh
.
Objects of class thresh
have the following components:
thresholds
A data frame with columns lo
and hi
for the lower and upper thresholds, and lo.newkstar
and
hi.newkstar
for the new optimal (or rank-trt.rank
) treatments
at each of the thresholds.
U
The threshold solutions matrix. One column for each data point m, one row for each contrast d_{ab} (in ascending order). The elements U_{ab,m} describe the amount of adjustment to data point y_m required to reverse the relative ranking of treatments a and b. This matrix is particularly useful for deriving thresholds for more complex decisions (e.g. bias-adjustment thresholds for a new treatment entering the top two, for any change in rank of the top three, etc.)
Ukstar
The threshold solutions matrix limited to contrasts
involving k^*. In other words, the rows of U
corresponding to
contrasts of the form d_{ak^*} or d_{k^*a}. Elements
U_{ak^*,m} of this matrix describe the amount of adjustment to data
point y_m required to make treatment a optimal (or
rank-trt.rank
) over k^*.
H
The influence matrix of the data on the basic treatment parameters. One column for each data point m, one row for each basic treatment parameter d_k. Elements H_{k,m} describe the influence of data point y_m on parameter d_k. This matrix can be used to derive more complex thresholds (e.g. 2D thresholds for simultaneous adjustments to two data points, or thresholds for common adjustments to a group of data points).
kstar
The base-case optimal (or rank-trt.rank
)
treatment k^*.
call
A list containing all the arguments defined in the
original call to nma_thresh
.
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