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# calculate p-value
polrtest(house_null, cont; test=:score)</code></pre><pre><code class="nohighlight hljs">0.0001648743597587817</code></pre><p><strong>Step 3</strong>: Now suppose we want to test significance of another predictor, <code>z1</code>. We just need to call <code>polrtest</code> with <code>z1</code> and the same fiited null model. No model fitting is needed.</p><p>For demonstration purpose, we generate <code>z1</code> randomly. The score test p-value of <code>z1</code> is, not suprisingly, large.</p><pre><code class="language-julia hljs">z1 = randn(nobs(house_null))
polrtest(house_null, z1)</code></pre><pre><code class="nohighlight hljs">0.1673512522966108</code></pre><p><strong>Step 4</strong>: We can also test a set of precitors or a factor.</p><pre><code class="language-julia hljs">z3 = randn(nobs(house_null), 3)
polrtest(house_null, z3)</code></pre><pre><code class="nohighlight hljs">6.709335149358069e-10</code></pre></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 25 August 2023 02:13">Friday 25 August 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
polrtest(house_null, z3)</code></pre><pre><code class="nohighlight hljs">6.709335149358069e-10</code></pre></article><nav class="docs-footer"><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Saturday 26 August 2023 02:10">Saturday 26 August 2023</span>. Using Julia version 1.6.7.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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