create_matrices: Create (in)equality constraint matrices

In ANOVAreplication: Test ANOVA Replications by Means of the Prior Predictive p-Value

Description

Parses a character string describing a set of informative hypotheses, and returns Replication (in)equality constraint matrices

Usage

create_matrices(varnames, hyp)

Arguments

varnames	A character (vector of characters), containing names of variables used in the hypotheses.
hyp	A character string, containing a Replication hypothesis (see Details).

Details

Informative hypotheses specified as a character string by "hyp" should adhere to the following simple syntax:

• The hypothesis consists of a (series of) (in)equality constraint(s). Every single (in)equality constraint is of the form "R1*mu1 + R2*mu2+... = r", where capital Rs refer to numeric scaling constants, must refer to the names of parameters in the model, and the lower case r refers to a constant. Standard mathematical simplification rules apply; thus, "R1*mu1 = R2*mu2" is equivalent to "R1*mu1 - R2*mu2 = 0".

• Multiple unrelated constraints within one hypothesis can be chained by "&". Thus, "a=b&c=d" means that H1: a=b AND c=d.

• Multiple related constraints within one hypothesis can be chained by repeating the (in)equality operators "=", "<", or ">". Thus, "a<b<c" means that H1: a < b AND b < c.

• Parameters can be grouped by placing them in a parenthesized, comma separated list. Thus, "(a,b)>c" means that H1: a > c AND b > c. Similarly, "(a,b)>(c,d)" means that H1: a > c AND b > c AND b > c AND b > d.

Value

A pair of named matrices for every hypothesis specified in the hyp argument; one matrix named R, specifying (in)equality constraints, and, a vector called r with constants, and a value E specifying the number of equality constraints.

Author(s)

Caspar van Lissa, modified for the ANOVAreplication package by M.A.J. Zondervan-Zwijnenburg

ANOVAreplication documentation built on Sept. 27, 2021, 9:06 a.m.