<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/79a30606-f32f-4855-a5a8-713400cb1300/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls16 wsc"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls16 wsc">1 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls16 wsc"> </div></div><div class="t m0 x1 h4 y5 ff2 fs1 fc1 sc0 ls16 wsc">Estatística Aplicada - Resumo </div><div class="t m0 x1 h4 y6 ff2 fs1 fc1 sc0 ls16 wsc"> </div><div class="t m0 x1 h5 y7 ff3 fs2 fc0 sc0 ls16 wsc">RELAÇÃO ENTRE VARIÁVEIS </div><div class="t m0 x1 h6 y8 ff3 fs3 fc1 sc0 ls16 wsc">Duas variáveis qualitativas </div><div class="t m0 x1 h7 y9 ff2 fs4 fc1 sc0 ls16 wsc">Medida Qui-quadrado de Pearson </div><div class="t m0 x3 h8 ya ff4 fs4 fc0 sc0 ls0">\ue7ef<span class="fs5 ls1 v1">\ueb36</span><span class="ls16 ws0">=<span class="_0 blank"> </span>\uedcd <span class="ws1 v2">(<span class="v3">\ue74b<span class="_1 blank"></span><span class="fs5 ls2 v4">\uebdc<span class="fs4 ls16 ws2 v5">\u2212 \ue741<span class="_1 blank"></span><span class="fs5 ls3 v4">\uebdc<span class="fs4 ls16 ws1 v6">)<span class="fs5 v7">\ueb36</span></span></span></span></span></span></span></span></div><div class="t m0 x4 h9 yb ff4 fs4 fc0 sc0 ls16 ws1">\ue741<span class="_1 blank"></span><span class="fs5 v4">\uebdc</span></div><div class="t m0 x5 ha yc ff4 fs5 fc0 sc0 ls4">\uebdc<span class="ff2 fs4 ls16 wsc v8"> </span></div><div class="t m0 x1 h9 yd ff4 fs4 fc0 sc0 ls16 ws1">\ue741<span class="_1 blank"></span><span class="fs5 ls3 v4">\uebdc<span class="ff2 fs4 ls16 wsc v5"> é igual a frequência relativa marginal da categori<span class="_1 blank"></span>a vezes o total da linha ou coluna.<span class="_2 blank"> </span> </span></span></div><div class="t m0 x1 h9 ye ff4 fs4 fc0 sc0 ls16 ws1">\ue74b<span class="_1 blank"></span><span class="fs5 ls5 v4">\uebdc<span class="ff2 fs4 ls16 wsc v5"> é o <span class="ff4 ws2">\ue745<span class="_3 blank"> </span>\u2212 é\ue74f\ue745\ue749\ue74b<span class="_2 blank"></span></span> valor observado. </span></span></div><div class="t m0 x1 h7 yf ff2 fs4 fc1 sc0 ls16 wsc">Coeficiente de continência </div><div class="t m0 x6 hb y10 ff4 fs4 fc0 sc0 ls16 ws3">\ue725<span class="_4 blank"> </span>= <span class="ls6 v9">\ueda8</span><span class="ls0 va">\ue7ef</span><span class="fs5 vb">\ueb36</span></div><div class="t m0 x7 h9 y11 ff4 fs4 fc0 sc0 ls0">\ue7ef<span class="fs5 ls7 vc">\ueb36</span><span class="ls16 ws2">+ \ue74a<span class="ff2 wsc vd"> </span></span></div><div class="t m0 x1 h7 y12 ff2 fs4 fc1 sc0 ls16 wsc">Coeficiente de Tschuprov </div><div class="t m0 x8 hc y13 ff4 fs4 fc0 sc0 ls16 ws3">\ue736<span class="_5 blank"> </span>= <span class="ls8 vc">\ueda8</span><span class="ls0 v8">\ue7ef</span><span class="fs5 ls9 ve">\ueb36</span><span class="vf">\ue74a</span></div><div class="t m0 x9 h9 y14 ff4 fs4 fc0 sc0 ls16">\ued57</div><div class="t m0 xa h9 y15 ff4 fs4 fc0 sc0 ls16 ws1">(<span class="ws2 v3">\ue74e<span class="_3 blank"> </span>\u2212 1</span>)(<span class="ws2 v3">\ue74f \u2212 1</span>)<span class="ff2 wsc v10"> </span></div><div class="t m0 x1 h9 y16 ff2 fs4 fc0 sc0 ls16 wsc">Onde r é o número de categorias de uma variável e <span class="ff4 lsa">\ue74f</span> é o número de categorias da </div><div class="t m0 x1 h7 y17 ff2 fs4 fc0 sc0 ls16 wsc">outra. T só pode assumir valor máximo igual a 1 se r=s. </div><div class="t m0 x1 h6 y18 ff3 fs3 fc1 sc0 ls16 wsc">Variável qualitativa e variável quantitativa<span class="_2 blank"> </span> </div><div class="t m0 x1 h7 y19 ff2 fs4 fc1 sc0 ls16 wsc">Coeficiente de determinação<span class="fc0"> </span></div><div class="t m0 xb h8 y1a ff4 fs4 fc0 sc0 lsb">\ue734<span class="fs5 ls1 v1">\ueb36</span><span class="lsc">=<span class="ls16 ws1 va">\ue752\ue73d\ue74e<span class="_2 blank"></span><span class="v9">(</span></span></span><span class="va">\ue754</span><span class="lsd v2">)</span><span class="ls16 ws2 va">\u2212 \ue752\ue73d\ue74e(\ue754<span class="_6 blank"> </span>)</span></div><div class="t m0 xc h9 y1b ff4 fs4 fc0 sc0 ls16">\ued24</div><div class="c xd y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c xf y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x7 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x10 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x11 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x12 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x13 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x14 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="t m0 x15 he y1e ff4 fs4 fc0 sc0 ls16 ws4">\ue752\ue73d\ue74e<span class="_2 blank"></span>(\ue754<span class="_2 blank"></span>) <span class="ws5 vd">=<span class="_0 blank"> </span>1 \u2212 </span><span class="ws1 v11">\ue752\ue73d\ue74e<span class="_2 blank"> </span>(\ue754<span class="_2 blank"> </span>)</span></div><div class="t m0 x16 h9 y1b ff4 fs4 fc0 sc0 ls16">\ued24</div><div class="c x17 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x18 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x19 y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x1a y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x1b y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x1c y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x1d y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x1e y1c w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="t m0 x16 h9 y1e ff4 fs4 fc0 sc0 ls16 ws1">\ue752\ue73d\ue74e<span class="_2 blank"></span>(\ue754<span class="_2 blank"></span>)<span class="ff2 wsc vd"> </span></div><div class="t m0 x1 h9 y1f ff2 fs4 fc0 sc0 ls16 wsc">Onde <span class="ff4 ws1">\ue752\ue73d\ue74e<span class="_2 blank"></span>(\ue754<span class="_2 blank"></span>)</span></div><div class="t m0 x1f h9 y20 ff4 fs4 fc0 sc0 ls16">\ued24</div><div class="c x20 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x21 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x22 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x23 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x24 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x25 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x26 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x27 y21 w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="t m0 x28 hf y1f ff4 fs4 fc0 sc0 lsc">=<span class="fs5 lse v10">\u2211<span class="ls16 ws6 v3">\uebe1</span></span><span class="fs6 lsf v12">\uecd4</span><span class="fs5 ls16 ws6 v13">\uebe9\uebd4\uebe5</span><span class="fs6 lsf v12">\uecd4</span><span class="fs5 ls10 v10">(<span class="ls11 v3">\uebeb</span><span class="ls16">)</span></span></div><div class="t m0 x29 h10 y22 ff4 fs6 fc0 sc0 ls16">\uecd6</div><div class="t m0 x29 h10 y23 ff4 fs6 fc0 sc0 ls16 ws7">\uecd4\uec38\uec2d</div><div class="t m0 x2a h11 y24 ff4 fs5 fc0 sc0 lse">\u2211<span class="ls16 ws6 v3">\uebe1<span class="fs6 v14">\uecd4</span></span></div><div class="t m0 x2b h10 y25 ff4 fs6 fc0 sc0 ls16">\uecd6</div><div class="t m0 x2b h12 y26 ff4 fs6 fc0 sc0 ls16 ws8">\uecd4\uec38\uec2d <span class="ff2 fs4 wsc va"> e <span class="ff4 ws1">\ue752\ue73d\ue74e<span class="_2 blank"></span><span class="v9">(</span><span class="lsb">\ue754<span class="ls12 v9">)</span><span class="lsc">=</span></span><span class="fs5 ws9 v10">\u2211 (<span class="ls13 v3">\uebeb</span></span></span></span><span class="lsf v15">\uecd4</span><span class="fs5 ws6 v16">\ueb3f\uebeb</span></div><div class="t m0 x2c h13 y27 ff4 fs5 fc0 sc0 ls14">\u0305<span class="ls10 v0">)<span class="fs6 ls16 v6">\uec2e</span></span></div><div class="t m0 x9 h10 y22 ff4 fs6 fc0 sc0 ls16">\uecd9</div><div class="t m0 x9 h10 y23 ff4 fs6 fc0 sc0 ls16 wsa">\uecd4\uec38\uec2d <span class="fs5 ls15 v17">\uebe1</span><span class="ff2 fs4 wsc v18"> </span></div><div class="t m0 x1 h9 y28 ff4 fs4 fc0 sc0 ls16 ws1">\ue752\ue73d\ue74e<span class="_2 blank"></span>(\ue754<span class="_2 blank"></span>)</div><div class="t m0 x1 h9 y29 ff4 fs4 fc0 sc0 ls16">\ued24</div><div class="c x2d y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x2e y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x2f y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x30 y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x31 y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x32 y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x33 y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="c x34 y2a w3 hd"><div class="t m0 xe h9 y1d ff4 fs4 fc0 sc0 ls16">\ued24</div></div><div class="t m0 x20 h7 y28 ff2 fs4 fc0 sc0 ls16 wsc"> é a média das variâncias de X para cada uma das categorias d<span class="_1 blank"></span>a variável </div><div class="t m0 x1 h7 y2b ff2 fs4 fc0 sc0 ls16 wsc">qualitativa. <span class="_7 blank"> </span><span class="ff4 fc2 wsb v19">0 \u2264 \ue734<span class="_2 blank"></span><span class="fs5 ls1 v1">\ueb36</span>\u2264 1<span class="ff3 wsc"> </span></span></div><div class="t m0 x1 h14 y2c ff2 fs0 fc0 sc0 ls16 wsc"> </div><div class="t m0 x1 h14 y2d ff2 fs0 fc0 sc0 ls16 wsc"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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