diff options
Diffstat (limited to 'docs/reference/ilr.html')
| -rw-r--r-- | docs/reference/ilr.html | 49 |
1 files changed, 25 insertions, 24 deletions
diff --git a/docs/reference/ilr.html b/docs/reference/ilr.html index 925698d9..76ce2233 100644 --- a/docs/reference/ilr.html +++ b/docs/reference/ilr.html @@ -8,11 +8,13 @@ <title>Function to perform isometric log-ratio transformation — ilr • mkin</title> + <!-- jquery --> <script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js" integrity="sha256-FgpCb/KJQlLNfOu91ta32o/NMZxltwRo8QtmkMRdAu8=" crossorigin="anonymous"></script> <!-- Bootstrap --> <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/css/bootstrap.min.css" integrity="sha256-916EbMg70RQy9LHiGkXzG8hSg9EdNy97GazNG/aiY1w=" crossorigin="anonymous" /> + <script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.3.7/js/bootstrap.min.js" integrity="sha256-U5ZEeKfGNOja007MMD3YBI0A3OSZOQbeG6z2f2Y0hu8=" crossorigin="anonymous"></script> <!-- Font Awesome icons --> @@ -32,13 +34,15 @@ -<meta property="og:title" content="Function to perform isometric log-ratio transformation — ilr" /> -<meta property="og:description" content="This implementation is a special case of the class of isometric log-ratio transformations." /> +<meta property="og:title" content="Function to perform isometric log-ratio transformation — ilr" /> +<meta property="og:description" content="This implementation is a special case of the class of isometric log-ratio +transformations." /> <meta name="twitter:card" content="summary" /> + <!-- mathjax --> <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script> @@ -109,7 +113,6 @@ <a href="../news/index.html">News</a> </li> </ul> - <ul class="nav navbar-nav navbar-right"> </ul> @@ -131,40 +134,41 @@ </div> <div class="ref-description"> - - <p>This implementation is a special case of the class of isometric log-ratio transformations.</p> - + <p>This implementation is a special case of the class of isometric log-ratio +transformations.</p> </div> <pre class="usage"><span class='fu'>ilr</span>(<span class='no'>x</span>) - <span class='fu'>invilr</span>(<span class='no'>x</span>)</pre> - + +<span class='fu'>invilr</span>(<span class='no'>x</span>)</pre> + <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2> <table class="ref-arguments"> <colgroup><col class="name" /><col class="desc" /></colgroup> <tr> <th>x</th> - <td><p>A numeric vector. Naturally, the forward transformation is only sensible for - vectors with all elements being greater than zero.</p></td> + <td><p>A numeric vector. Naturally, the forward transformation is only +sensible for vectors with all elements being greater than zero.</p></td> </tr> </table> - + <h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2> - <p>The result of the forward or backward transformation. The returned components always - sum to 1 for the case of the inverse log-ratio transformation.</p> - + <p>The result of the forward or backward transformation. The returned + components always sum to 1 for the case of the inverse log-ratio + transformation.</p> <h2 class="hasAnchor" id="references"><a class="anchor" href="#references"></a>References</h2> - <p>Peter Filzmoser, Karel Hron (2008) Outlier Detection for Compositional Data Using Robust Methods. Math Geosci 40 233-248</p> - + <p>Peter Filzmoser, Karel Hron (2008) Outlier Detection for + Compositional Data Using Robust Methods. Math Geosci 40 233-248</p> <h2 class="hasAnchor" id="see-also"><a class="anchor" href="#see-also"></a>See also</h2> - <div class='dont-index'><p>Another implementation can be found in R package <code>robCompositions</code>.</p></div> - + <div class='dont-index'><p>Another implementation can be found in R package + <code>robCompositions</code>.</p></div> <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2> - <pre class="examples"><div class='input'><span class='co'># Order matters</span> + <pre class="examples"><div class='input'> +<span class='co'># Order matters</span> <span class='fu'>ilr</span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>0.1</span>, <span class='fl'>1</span>, <span class='fl'>10</span>))</div><div class='output co'>#> [1] -1.628174 -2.820079</div><div class='input'><span class='fu'>ilr</span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>10</span>, <span class='fl'>1</span>, <span class='fl'>0.1</span>))</div><div class='output co'>#> [1] 1.628174 2.820079</div><div class='input'><span class='co'># Equal entries give ilr transformations with zeros as elements</span> <span class='fu'>ilr</span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>3</span>, <span class='fl'>3</span>, <span class='fl'>3</span>))</div><div class='output co'>#> [1] 0 0</div><div class='input'><span class='co'># Almost equal entries give small numbers</span> <span class='fu'>ilr</span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>0.3</span>, <span class='fl'>0.4</span>, <span class='fl'>0.3</span>))</div><div class='output co'>#> [1] -0.2034219 0.1174457</div><div class='input'><span class='co'># Only the ratio between the numbers counts, not their sum</span> @@ -173,19 +177,16 @@ <span class='fu'><a href='https://rdrr.io/r/base/sum.html'>sum</a></span>(<span class='fu'>invilr</span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(-<span class='fl'>10</span>, <span class='fl'>0</span>)))</div><div class='output co'>#> [1] 1</div><div class='input'><span class='co'># This is why we do not need all elements of the inverse transformation to go back:</span> <span class='no'>a</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>0.1</span>, <span class='fl'>0.3</span>, <span class='fl'>0.5</span>) <span class='no'>b</span> <span class='kw'><-</span> <span class='fu'>invilr</span>(<span class='no'>a</span>) -<span class='fu'><a href='https://rdrr.io/r/base/length.html'>length</a></span>(<span class='no'>b</span>) <span class='co'># Four elements</span></div><div class='output co'>#> [1] 4</div><div class='input'><span class='fu'>ilr</span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='no'>b</span>[<span class='fl'>1</span>:<span class='fl'>3</span>], <span class='fl'>1</span> - <span class='fu'><a href='https://rdrr.io/r/base/sum.html'>sum</a></span>(<span class='no'>b</span>[<span class='fl'>1</span>:<span class='fl'>3</span>]))) <span class='co'># Gives c(0.1, 0.3, 0.5)</span></div><div class='output co'>#> [1] 0.1 0.3 0.5</div></pre> +<span class='fu'><a href='https://rdrr.io/r/base/length.html'>length</a></span>(<span class='no'>b</span>) <span class='co'># Four elements</span></div><div class='output co'>#> [1] 4</div><div class='input'><span class='fu'>ilr</span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='no'>b</span>[<span class='fl'>1</span>:<span class='fl'>3</span>], <span class='fl'>1</span> - <span class='fu'><a href='https://rdrr.io/r/base/sum.html'>sum</a></span>(<span class='no'>b</span>[<span class='fl'>1</span>:<span class='fl'>3</span>]))) <span class='co'># Gives c(0.1, 0.3, 0.5)</span></div><div class='output co'>#> [1] 0.1 0.3 0.5</div><div class='input'> +</div></pre> </div> <div class="col-md-3 hidden-xs hidden-sm" id="sidebar"> <h2>Contents</h2> <ul class="nav nav-pills nav-stacked"> <li><a href="#arguments">Arguments</a></li> - <li><a href="#value">Value</a></li> - <li><a href="#references">References</a></li> - <li><a href="#see-also">See also</a></li> - <li><a href="#examples">Examples</a></li> </ul> |