sumofsquares1

Decomposes an integer <code>n2</code> into a sum of squared integers (\(n2 = \sum_{i=1}^{nobs} x_i^2\)).
If <code>n</code> is not <code>NA</code> then it is ensured that \(\sum_{i=1}^{nobs} x_i = 0\).
Note if <code>nobs&lt;=10</code> then the following data sets are available:<ul>
<li><code>sos100=sumofsquares(100, 10, zerosum=TRUE, maxt=Inf)</code>,</li>
<li><code>sos200=sumofsquares(200, 10, zerosum=TRUE, maxt=Inf)</code>,</li>
<li><code>sos400=sumofsquares(400, 10, zerosum=TRUE, maxt=Inf)</code>,</li>
<li><code>sos800=sumofsquares(800, 10, zerosum=TRUE, maxt=Inf)</code>, and</li>
<li><code>sos1000=sumofsquares(100, 10, zerosum=TRUE, maxt=Inf)</code></li>
</ul>

The main aim is to further facilitate the creation of exercises based on the package 'exams'
by Grün, B., and Zeileis, A. (2009) <doi:10.18637/jss.v029.i10>. Creating effective student exercises
involves challenges such as creating appropriate data sets and ensuring access to intermediate values
for accurate explanation of solutions. The functionality includes the generation of univariate and
bivariate data including simple time series, functions for theoretical distributions and their approximation,
statistical and mathematical calculations for tasks in basic statistics courses as well as general tasks
such as string manipulation, LaTeX/HTML formatting and the editing of XML task files for 'Moodle'.

Sigbert Klinke

exams.forge

Support for Compiling Examination Tasks using the 'exams'
Package

sumofsquares1 function

<dl><dt>n2</dt>
<dd>integer: number to decompose as sum of squares</dd>
<dt>nobs</dt>
<dd>integer: length of return values</dd>
<dt>n</dt>
<dd>integer: additional sum condition (default: <code>0</code>)</dd>
<dt>x</dt>
<dd>numeric: vector of <code>nobs</code> starting values (default: <code>runif(nobs)</code>)</dd>
<dt>maxit</dt>
<dd>integer: maximal number of iterations</dd></dl>

Arguments

sumofsquares1 — sumofsquares1

<dl>

<dt>n2</dt>
<dd>integer: number to decompose as sum of squares</dd>


<dt>nobs</dt>
<dd>integer: length of return values</dd>


<dt>n</dt>
<dd>integer: additional sum condition (default: <code>0</code>)</dd>


<dt>x</dt>
<dd>numeric: vector of <code>nobs</code> starting values (default: <code>runif(nobs)</code>)</dd>


<dt>maxit</dt>
<dd>integer: maximal number of iterations</dd>

</dl>

sumofsquares1: sumofsquares1

Description

Usage

Value

Arguments

Examples