hadamardExperimentalDesign

This method returns unique designs according to a Hadamard matrix. For debugging, you can use <code>set.seed</code>
to be assured of deterministic output.

Computes experimental designs for a
two-arm experiment with covariates via a number of methods:
(0) complete randomization and randomization with forced-balance,
(1) Greedily optimizing a
balance objective function via pairwise switching. This optimization
provides lower variance for the treatment effect estimator (and higher
power) while preserving a design that is close to complete randomization.
We return all iterations of the designs for use in a permutation test,
(2) The second is via numerical optimization
(via 'gurobi' which must be installed, see <https://www.gurobi.com/documentation/9.1/quickstart_windows/r_ins_the_r_package.html>)
a la Bertsimas and Kallus,
(3) rerandomization,
(4) Karp's method for one covariate,
(5) exhaustive enumeration to find the
optimal solution (only for small sample sizes),
(6) Binary pair matching using the 'nbpMatching' library,
(7) Binary pair matching plus design number (1) to further optimize balance,
(8) Binary pair matching plus design number (3) to further optimize balance,
(9) Hadamard designs,
(10) Simultaneous Multiple Kernels.
In (1-9) we allow for three objective functions:
Mahalanobis distance,
Sum of absolute differences standardized and
Kernel distances via the 'kernlab' library. This package is the result of a stream of research that can be found in
Krieger, A, Azriel, D and Kapelner, A "Nearly Random Designs with Greatly Improved Balance" (2016) <arXiv:1612.02315>,
Krieger, A, Azriel, D and Kapelner, A "Better Experimental Design by Hybridizing Binary Matching with Imbalance
Optimization" (2021) <arXiv:2012.03330>.

Adam Kapelner

GreedyExperimentalDesign

Greedy Experimental Design Construction

David Azriel

Abba Krieger

hadamardExperimentalDesign function

<dl><dt>X</dt>
<dd>The design matrix with $n$ rows (one for each subject) and $p$ columns 
(one for each measurement on the subject). The measurements aren't used to
compute the Hadamard designs, only the number of rows.</dd>
<dt>strict</dt>
<dd>Hadamard matrices are not available for all $n$.</dd>
<dt>form</dt>
<dd>Which form should it be in? The default is <code>one_zero</code> for 1/0's or <code>pos_one_min_one</code> for +1/-1's.</dd></dl>

Arguments

Author

Create a Hadamard Design — hadamardExperimentalDesign

<dl>

<dt>X</dt>
<dd>The design matrix with $n$ rows (one for each subject) and $p$ columns 
(one for each measurement on the subject). The measurements aren't used to
compute the Hadamard designs, only the number of rows.</dd>


<dt>strict</dt>
<dd>Hadamard matrices are not available for all $n$.</dd>


<dt>form</dt>
<dd>Which form should it be in? The default is <code>one_zero</code> for 1/0's or <code>pos_one_min_one</code> for +1/-1's.</dd>

</dl>

hadamardExperimentalDesign: Create a Hadamard Design

Description

Usage

Value

Arguments

Author