| MTPS | R Documentation | 
Fit a model using standard stacking algorithm or revised stacking algorithms to simultaneous predicte multiple outcomes
MTPS(xmat, ymat, family,
  cv = FALSE, residual = TRUE, nfold = 5,
  method.step1, method.step2,
  resid.type = c("deviance", "pearson", "raw"), resid.std = FALSE)
| xmat | Predictor matrix, each row is an observation vector | 
| ymat | Responses matrix. Quantitative for family = "gaussian" and a factor of two levels for family = "binomial" | 
| family | Response type for each response. If all response variable are within the same family it can be "gaussian" or "binomial", otherwise it is a vector with elements "gaussian" and "binomial" to indicate each response family | 
| cv | Logical, indicate if use Cross-Validation Stacking algorithm | 
| residual | Logical, indicate if use Residual Stacking algorithm | 
| nfold | Integer, number of folds for Cross-Validation Stacking algorithm. The default value is 5 | 
| method.step1 | Base Learners for fitting models in Step 1 of Stacking Algorithm. It can be one base learner function for all outcomes or a list of base learner functions for each outcome. The list of all base learners can be obtained by  | 
| method.step2 | Base Learners for fitting models in Step 2 of Stacking Algorithm. (see above) | 
| resid.type | The residual type for Residual Stacking | 
| resid.std | Logical, whether or not use standardized residual | 
It returns a MTPS object. It is a list of 4 parameters containing information about step 1 and step 2 models and the revised stacking algorithm method.
data("HIV")
set.seed(1)
xmat <- as.matrix(XX)
ymat <- as.matrix(YY)
id <- createFolds(rowMeans(XX), k=5, list=FALSE)
training.id <- id != 1
y.train <- ymat[training.id, ]
y.test  <- ymat[!training.id, ]
x.train <- xmat[training.id, ]
x.test  <- xmat[!training.id, ]
# Residual Stacking
fit.rs <- MTPS(xmat = x.train, ymat = y.train,
  family = "gaussian",cv = FALSE, residual = TRUE,
  method.step1 = rpart1, method.step2 = lm1)
predict(fit.rs, x.test)
# using different base learners for different outcomes
 fit.mixOut <- MTPS(xmat=x.train, ymat=y.train,
  family="gaussian",cv = FALSE, residual = TRUE,
  method.step1 = c(rpart1,glmnet.ridge,rpart1,lm1,lm1),
  method.step2 = c(rpart1,lm1,lm1,lm1, glmnet.ridge))
predict(fit.mixOut, x.test)
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