Pre-processing transformation (centering, scaling etc.) can be estimated from the training data and applied to any data set with the same variables.

`preProcess(x, ...)`# S3 method for default
preProcess(
x,
method = c("center", "scale"),
thresh = 0.95,
pcaComp = NULL,
na.remove = TRUE,
k = 5,
knnSummary = mean,
outcome = NULL,
fudge = 0.2,
numUnique = 3,
verbose = FALSE,
freqCut = 95/5,
uniqueCut = 10,
cutoff = 0.9,
rangeBounds = c(0, 1),
...
)

# S3 method for preProcess
predict(object, newdata, ...)

x

a matrix or data frame. Non-numeric predictors are allowed but will be ignored.

…

additional arguments to pass to `fastICA`

,
such as `n.comp`

method

a character vector specifying the type of processing. Possible values are "BoxCox", "YeoJohnson", "expoTrans", "center", "scale", "range", "knnImpute", "bagImpute", "medianImpute", "pca", "ica", "spatialSign", "corr", "zv", "nzv", and "conditionalX" (see Details below)

thresh

a cutoff for the cumulative percent of variance to be retained by PCA

pcaComp

the specific number of PCA components to keep. If specified,
this over-rides `thresh`

na.remove

a logical; should missing values be removed from the calculations?

k

the number of nearest neighbors from the training set to use for imputation

knnSummary

function to average the neighbor values per column during imputation

outcome

a numeric or factor vector for the training set outcomes. This can be used to help estimate the Box-Cox transformation of the predictor variables (see Details below)

fudge

a tolerance value: Box-Cox transformation lambda values within +/-fudge will be coerced to 0 and within 1+/-fudge will be coerced to 1.

numUnique

how many unique values should `y`

have to estimate the
Box-Cox transformation?

verbose

a logical: prints a log as the computations proceed

freqCut

the cutoff for the ratio of the most common value to the
second most common value. See `nearZeroVar`

.

uniqueCut

the cutoff for the percentage of distinct values out of
the number of total samples. See `nearZeroVar`

.

cutoff

a numeric value for the pair-wise absolute correlation cutoff.
See `findCorrelation`

.

rangeBounds

a two-element numeric vector specifying closed interval for range transformation

object

an object of class `preProcess`

newdata

a matrix or data frame of new data to be pre-processed

`preProcess`

results in a list with elements

the function call

a named list of operations and the variables used for each

the dimensions of `x`

Box-Cox
transformation values, see `BoxCoxTrans`

a vector of means (if centering was requested)

a vector of standard deviations (if scaling or PCA was requested)

a matrix of eigenvectors if PCA was requested

the value of `method`

the value of `thresh`

a matrix of min and
max values for each predictor when `method`

includes "range" (and
`NULL`

otherwise)

the number of principal components required of capture the specified amount of variance

contains
values for the `W`

and `K`

matrix of the decomposition

a vector of medians (if median imputation was requested)

predict.preProcess will produce a data frame.

In all cases, transformations and operations are estimated using the data in
`x`

and these operations are applied to new data using these values;
nothing is recomputed when using the `predict`

function.

The Box-Cox (`method = "BoxCox"`

), Yeo-Johnson (```
method =
"YeoJohnson"
```

), and exponential transformations (```
method =
"expoTrans"
```

) have been "repurposed" here: they are being used to transform
the predictor variables. The Box-Cox transformation was developed for
transforming the response variable while another method, the Box-Tidwell
transformation, was created to estimate transformations of predictor data.
However, the Box-Cox method is simpler, more computationally efficient and
is equally effective for estimating power transformations. The Yeo-Johnson
transformation is similar to the Box-Cox model but can accommodate
predictors with zero and/or negative values (while the predictors values for
the Box-Cox transformation must be strictly positive). The exponential
transformation of Manly (1976) can also be used for positive or negative
data.

`method = "center"`

subtracts the mean of the predictor's data (again
from the data in `x`

) from the predictor values while ```
method =
"scale"
```

divides by the standard deviation.

The "range" transformation scales the data to be within `rangeBounds`

. If new
samples have values larger or smaller than those in the training set, values
will be outside of this range.

Predictors that are not numeric are ignored in the calculations (including methods "zv`" and "nzv`").

`method = "zv"`

identifies numeric predictor columns with a single
value (i.e. having zero variance) and excludes them from further
calculations. Similarly, `method = "nzv"`

does the same by applying
`nearZeroVar`

exclude "near zero-variance" predictors. The options
`freqCut`

and `uniqueCut`

can be used to modify the filter.

`method = "corr"`

seeks to filter out highly correlated predictors. See
`findCorrelation`

.

For classification, `method = "conditionalX"`

examines the distribution
of each predictor conditional on the outcome. If there is only one unique
value within any class, the predictor is excluded from further calculations
(see `checkConditionalX`

for an example). When `outcome`

is
not a factor, this calculation is not executed. This operation can be time
consuming when used within resampling via `train`

.

The operations are applied in this order: zero-variance filter, near-zero variance filter, correlation filter, Box-Cox/Yeo-Johnson/exponential transformation, centering, scaling, range, imputation, PCA, ICA then spatial sign. This is a departure from versions of caret prior to version 4.76 (where imputation was done first) and is not backwards compatible if bagging was used for imputation.

If PCA is requested but centering and scaling are not, the values will still be centered and scaled. Similarly, when ICA is requested, the data are automatically centered and scaled.

k-nearest neighbor imputation is carried out by finding the k closest samples (Euclidian distance) in the training set. Imputation via bagging fits a bagged tree model for each predictor (as a function of all the others). This method is simple, accurate and accepts missing values, but it has much higher computational cost. Imputation via medians takes the median of each predictor in the training set, and uses them to fill missing values. This method is simple, fast, and accepts missing values, but treats each predictor independently, and may be inaccurate.

A warning is thrown if both PCA and ICA are requested. ICA, as implemented
by the `fastICA`

package automatically does a PCA
decomposition prior to finding the ICA scores.

The function will throw an error of any numeric variables in `x`

has
less than two unique values unless either `method = "zv"`

or
`method = "nzv"`

are invoked.

Non-numeric data will not be pre-processed and their values will be in the
data frame produced by the `predict`

function. Note that when PCA or
ICA is used, the non-numeric columns may be in different positions when
predicted.

http://topepo.github.io/caret/pre-processing.html

Kuhn and Johnson (2013), Applied Predictive Modeling, Springer, New York (chapter 4)

Kuhn (2008), Building predictive models in R using the caret (10.18637/jss.v028.i05)

Box, G. E. P. and Cox, D. R. (1964) An analysis of transformations (with discussion). Journal of the Royal Statistical Society B, 26, 211-252.

Box, G. E. P. and Tidwell, P. W. (1962) Transformation of the independent variables. Technometrics 4, 531-550.

Manly, B. L. (1976) Exponential data transformations. The Statistician, 25, 37 - 42.

Yeo, I-K. and Johnson, R. (2000). A new family of power transformations to improve normality or symmetry. Biometrika, 87, 954-959.

```
# NOT RUN {
data(BloodBrain)
# one variable has one unique value
# }
# NOT RUN {
preProc <- preProcess(bbbDescr)
preProc <- preProcess(bbbDescr[1:100,-3])
training <- predict(preProc, bbbDescr[1:100,-3])
test <- predict(preProc, bbbDescr[101:208,-3])
# }
# NOT RUN {
# }
```

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