Compute Probability of Each True Outcome, for Every Subject
pi_compute.RdCompute Probability of Each True Outcome, for Every Subject
Arguments
- beta
A numeric column matrix of regression parameters for the
Y(true outcome) ~X(predictor matrix of interest).- X
A numeric design matrix.
- n
An integer value specifying the number of observations in the sample. This value should be equal to the number of rows of the design matrix,
X.- n_cat
The number of categorical values that the true outcome,
Y, can take.
Value
pi_compute returns a matrix of probabilities,
\(P(Y_i = j | X_i) = \frac{\exp(X_i \beta)}{1 + \exp(X_i \beta)}\)
for each of the \(i = 1, \dots,\) n subjects. Rows of the matrix
correspond to each subject. Columns of the matrix correspond to the true outcome
categories \(j = 1, \dots,\) n_cat.