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<div dir="ltr"> <div class="ecxrmMessages ecxClearBoth" tabindex="-1" id="ecxReadMessageScrollableSection"> <div class="ecxReadMsgFrom ecxFloatLeft"> <div class="ecxrmButtons"> <span class="ecxrmPrev"><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxi_rm_p"></span><span class="ecxrmNext"><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxi_rm_n"></span><span class="ecxrmFull "><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxi_r_fv"></span><span class="ecxrmClose "><img src="https://bay182.mail.live.com/ol/clear.gif" class="ecxg_close"></span> </div> </div><div id="ecxreadMessagePartControl1429f" class="ecxc-ReadMessagePart ecxReadMsgContainer ecxHasLayout ecxClearBoth ecxHideShadows ecxFullPart ecxNoHistory ecxRead ecxRmIc"><div class="ecxpaddingtop ecxpaddingbottom"><div class="ecxc-ReadMessagePartHeader"><div class="ecxt_hov ecxMsgHover ecxMsgPartGradient ecxia_hc ecxExpanded"> </div> </div> </div> <div class="ecxc-ReadMessagePartBody"> <div class="ecxClearBoth"> </div> <div class="ecxClearBoth"> </div> <div class="ecxreadMsgBody"> <div id="ecxbodyreadMessagePartBodyControl1431f" class="ecxExternalClass ecxMsgBodyContainer">Bom dia Listeiros,<br><div dir="ltr"><br>Como iniciante em analise
multivariada, estou tentando trabalhar com analise multivariada (em
particular Analise fatorial), para fazer isso usei a função do
"factanal" do package 'stats', e também a package 'FactorMineR'. A
analise fatorial busca reduzir o numero de variáveis de um banco de
dados e através de seus fatores (ou variáveis latentes) construir uma
nova base de dados que represente de forma mais significante a variância
do banco de dados original, correto?.<br><br>Segue o resultado utilizando a 'factanal'<br>Call:<br><font style="" color="#2672EC">factanal(x = dad, factors = 15, scores = c("Bartlett"), rotation = "varimax")</font><font style="" color="#2672EC"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Uniquenesses:</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">
a1 a2 a3 a4 a5 a6 a7 a8 b1 b2 b3 b4
b5 b6 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6
e1 f1 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">0.005
0.614 0.305 0.239 0.218 0.237 0.657 0.588 0.013 0.120 0.318 0.074 0.279
0.085 0.005 0.005 0.005 0.005 0.005 0.005 0.486 0.749 0.651 0.005 0.214
0.005 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2"> f2 f3 f4 g3 h1 h2 i1 i2 i3 i4 i5 i6 i7 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">0.714 0.554 0.260 0.181 0.605 0.674 0.301 0.005 0.005 0.005 0.005 0.005 0.652 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Loadings:</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2"> Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor7 Factor8 Factor9 Factor10 Factor11 Factor12 Factor13 Factor14 Factor15</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a1 0.290 -0.328 0.521 0.251 0.461 0.106 -0.133 0.457 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a2 -0.117 -0.162 0.492 0.110 0.271 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a3 -0.103 -0.334 0.251 0.107 0.233 0.656 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a4 0.258 -0.223 0.161 0.145 0.729 0.116 0.120 -0.131 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a5 0.838 -0.102 -0.105 -0.117 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a6 -0.192 0.811 0.125 0.111 0.119 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a7 -0.138 0.483 0.129 0.201 0.132 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">a8 -0.151 0.546 0.231 0.105 0.105 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b1 0.886 0.387 -0.127 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b2 0.196 0.819 -0.170 -0.152 -0.149 0.222 0.179 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b3 0.172 0.733 -0.132 -0.203 0.135 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b4 0.136 0.889 -0.186 -0.152 -0.128 0.125 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b5 0.735 -0.235 -0.191 -0.123 -0.155 -0.170 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">b6 0.848 -0.246 0.290 -0.131 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c1 0.135 0.952 0.241 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c2 0.149 0.454 0.582 0.632 0.119 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c3 0.304 0.939 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">c4 0.126 0.982 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d1 0.247 0.114 0.840 0.446 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d2 0.125 0.960 0.177 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d3 0.121 0.685 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d4 0.184 0.441 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d5 0.392 0.232 0.119 0.287 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">d6 0.961 0.135 -0.163 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">e1 -0.469 0.316 0.526 0.272 -0.174 0.116 0.127 0.193 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f1 0.961 0.205 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f2 0.329 0.199 -0.348 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f3 0.387 0.402 0.286 -0.108 0.126 -0.110 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">f4 0.742 -0.224 0.133 0.112 -0.186 0.107 0.122 -0.124 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">g3 0.382 -0.200 0.353 0.342 0.558 0.109 0.114 0.208 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">h1 0.598 0.132 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">h2 0.188 0.222 -0.153 0.139 0.100 0.184 0.117 -0.109 0.320 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i1 0.229 0.297 0.589 -0.357 0.255 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i2 -0.318 0.173 0.838 0.112 0.296 0.127 -0.133 0.102 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i3 0.120 0.974 -0.115 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i4 -0.149 -0.346 0.143 0.774 -0.437 -0.116 0.122 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i5 0.171 0.957 0.155 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i6 -0.237 -0.154 0.152 0.119 -0.118 0.921 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">i7 -0.117 -0.195 -0.173 0.290 -0.218 -0.178 0.105 0.116 0.188 0.196 </font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">
Factor1 Factor2 Factor3 Factor4 Factor5 Factor6 Factor7 Factor8 Factor9
Factor10 Factor11 Factor12 Factor13 Factor14 Factor15</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">SS
loadings 5.193 4.142 2.965 2.298 2.154 2.092 2.020
1.704 1.350 1.209 1.090 0.993 0.948 0.559 0.437</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Proportion
Var 0.133 0.106 0.076 0.059 0.055 0.054 0.052 0.044
0.035 0.031 0.028 0.025 0.024 0.014 0.011</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Cumulative
Var 0.133 0.239 0.315 0.374 0.430 0.483 0.535 0.579
0.613 0.644 0.672 0.698 0.722 0.736 0.747</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">Test of the hypothesis that 15 factors are sufficient.</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">The chi square statistic is 1330.5 on 261 degrees of freedom.</font><font style="font-size:10pt;" color="#2672EC" size="2"><br></font><font style="font-size:10pt;" color="#2672EC" size="2">The p-value is 1.01e-142 </font><font style="font-size:10pt;" size="2"><br></font><br>Com isso vem os questionamentos, que são:<br>1)
a variância acumulada foi próximo ao 75%, considerada boa na literatura
sobre o tema, além do Chi-square de 1330.5 e um valor p<0,05. A
questão são os graus de liberdade. O quanto isso pode afetar o modelo
fatorial?<br>2) Eu posso utilizar o 'lm' para construir o modelo com os scores ou fica redundante, caso afirmativo como seria esta função?<br>3) por fim com o modelo construido, como posso avalia-lo?<br><br>Muito obrigado pela ajuda <br><br>Att<br><br>Bruce<br><br><br><br><br> </div>
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