normTable.betabinomial

This function generates a norm table for a specific ages based on the beta binomial
regression model. In case a confidence coefficient (CI, default .9) and the
reliability is specified, confidence intervals are computed for the true score
estimates, including a correction for regression to the mean (Eid &amp; Schmidt, 2012, p. 272).

A comprehensive toolkit for generating continuous test norms in
psychometrics and biometrics, and analyzing model fit. The package offers both
distribution-free modeling using Taylor polynomials and parametric modeling
using the beta-binomial distribution. Originally developed for achievement
tests, it is applicable to a wide range of mental, physical, or other test
scores dependent on continuous or discrete explanatory variables. The package
provides several advantages: It minimizes deviations from representativeness
in subsamples, interpolates between discrete levels of explanatory variables,
and significantly reduces the required sample size compared to conventional
norming per age group. cNORM enables graphical and analytical evaluation of
model fit, accommodates a wide range of scales including those with negative
and descending values, and even supports conventional norming. It generates
norm tables including confidence intervals. It also includes methods for
addressing representativeness issues through Iterative Proportional Fitting.

Wolfgang Lenhard

cNORM

Continuous Norming

Alexandra Lenhard

Sebastian Gary

WPS publisher 

normTable.betabinomial function

<dl><dt>model</dt>
<dd>The model, which was fitted using the `optimized.model` function.</dd>
<dt>ages</dt>
<dd>A numeric vector of age points at which to make predictions.</dd>
<dt>n</dt>
<dd>The number of items resp. the maximum score.</dd>
<dt>m</dt>
<dd>An optional stop criterion in table generation. Positive integer lower than n.</dd>
<dt>range</dt>
<dd>The range of the norm scores in standard deviations. Default is 3. Thus, scores in the
range of +/- 3 standard deviations are considered.</dd>
<dt>CI</dt>
<dd>confidence coefficient, ranging from 0 to 1, default .9</dd>
<dt>reliability</dt>
<dd>coefficient, ranging between 0 to 1</dd></dl>

Arguments

Calculate Cumulative Probabilities, Density, Percentiles, and Z-Scores for
Beta-Binomial Distribution — normTable.betabinomial

<dl>

<dt>model</dt>
<dd>The model, which was fitted using the `optimized.model` function.</dd>


<dt>ages</dt>
<dd>A numeric vector of age points at which to make predictions.</dd>


<dt>n</dt>
<dd>The number of items resp. the maximum score.</dd>


<dt>m</dt>
<dd>An optional stop criterion in table generation. Positive integer lower than n.</dd>


<dt>range</dt>
<dd>The range of the norm scores in standard deviations. Default is 3. Thus, scores in the
range of +/- 3 standard deviations are considered.</dd>


<dt>CI</dt>
<dd>confidence coefficient, ranging from 0 to 1, default .9</dd>


<dt>reliability</dt>
<dd>coefficient, ranging between 0 to 1</dd>

</dl>

normTable.betabinomial: Calculate Cumulative Probabilities, Density, Percentiles, and Z-Scores for Beta-Binomial Distribution

Description

Usage

Value

Arguments