FMPMonotonicityCheck

A vector of 8 polynomial coefficients (\(b\)) for
\(m(\theta)=b_0 + b_1 \theta + b_2 \theta^2 + b_3 \theta^3 + b_4 \theta^4
+ b_5 \theta^5 + b_6 \theta^6 + b_7 \theta^7\).

\(\theta\) bounds for monotonicity check.

lower, upper

Logical (default = FALSE). If PLOT = TRUE the function will
plot the original polynomial function for \(\theta\) between lower and
upper.

PLOT

Utility function for checking whether candidate FMP coefficients yield a
monotonically increasing polynomial.

Statistics

Computes fungible coefficients and Monte Carlo data. Underlying theory for these functions is described in the following publications:
Waller, N. (2008). Fungible Weights in Multiple Regression. Psychometrika, 73(4), 691-703, <DOI:10.1007/s11336-008-9066-z>.
Waller, N. & Jones, J. (2009). Locating the Extrema of Fungible Regression Weights.
Psychometrika, 74(4), 589-602, <DOI:10.1007/s11336-008-9087-7>.
Waller, N. G. (2016). Fungible Correlation Matrices:
A Method for Generating Nonsingular, Singular, and Improper Correlation Matrices for
Monte Carlo Research. Multivariate Behavioral Research, 51(4), 554-568, <DOI:10.1080/00273171.2016.1178566>.
Jones, J. A. & Waller, N. G. (2015). The normal-theory and asymptotic distribution-free (ADF)
covariance matrix of standardized regression coefficients: theoretical extensions
and finite sample behavior. Psychometrika, 80, 365-378, <DOI:10.1007/s11336-013-9380-y>.
Waller, N. G. (2018). Direct Schmid-Leiman transformations and rank-deficient loadings matrices. Psychometrika, 83, 858-870. <DOI:10.1007/s11336-017-9599-0>.

Niels G Waller

fungible

Psychometric Functions from the Waller Lab

Niels Waller

Jeff Jones

Casey Giordano

FMPMonotonicityCheck function

<dl><dt>b</dt>
<dd>A vector of 8 polynomial coefficients (\(b\)) for
\(m(\theta)=b_0 + b_1 \theta + b_2 \theta^2 + b_3 \theta^3 + b_4 \theta^4
+ b_5 \theta^5 + b_6 \theta^6 + b_7 \theta^7\).</dd>
<dt>lower, upper</dt>
<dd>\(\theta\) bounds for monotonicity check.</dd>
<dt>PLOT</dt>
<dd>Logical (default = FALSE). If PLOT = TRUE the function will
plot the original polynomial function for \(\theta\) between lower and
upper.</dd></dl>

Arguments

Author

Utility function for checking FMP monotonicity — FMPMonotonicityCheck

<dl>

<dt>b</dt>
<dd>A vector of 8 polynomial coefficients (\(b\)) for
\(m(\theta)=b_0 + b_1 \theta + b_2 \theta^2 + b_3 \theta^3 + b_4 \theta^4
+ b_5 \theta^5 + b_6 \theta^6 + b_7 \theta^7\).</dd>


<dt>lower, upper</dt>
<dd>\(\theta\) bounds for monotonicity check.</dd>


<dt>PLOT</dt>
<dd>Logical (default = FALSE). If PLOT = TRUE the function will
plot the original polynomial function for \(\theta\) between lower and
upper.</dd>

</dl>

FMPMonotonicityCheck: Utility function for checking FMP monotonicity

Description

Usage

Value

Arguments

Author

Examples