From aaa36c341ba8ff4c4f3a13b940f4d9092a1468d7 Mon Sep 17 00:00:00 2001 From: Eduardo Junior <edujrrib@gmail.com> Date: Tue, 3 May 2016 14:56:17 -0300 Subject: [PATCH] =?UTF-8?q?Renomeia=20vignette=20compoisson=20utilizando?= =?UTF-8?q?=20prefixo=20de=20ordena=C3=A7=C3=A3o?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- inst/doc/{compoisson.R => v05_compoisson.R} | 246 +++++++++++++ .../{compoisson.html => v05_compoisson.html} | 342 +++++++++++++++++- .../{compoisson.Rmd => v05_compoisson.Rmd} | 0 3 files changed, 585 insertions(+), 3 deletions(-) rename inst/doc/{compoisson.R => v05_compoisson.R} (62%) rename inst/doc/{compoisson.html => v05_compoisson.html} (79%) rename vignettes/{compoisson.Rmd => v05_compoisson.Rmd} (100%) diff --git a/inst/doc/compoisson.R b/inst/doc/v05_compoisson.R similarity index 62% rename from inst/doc/compoisson.R rename to inst/doc/v05_compoisson.R index a42539f..98a9406 100644 --- a/inst/doc/compoisson.R +++ b/inst/doc/v05_compoisson.R @@ -145,6 +145,26 @@ par(mfrow = c(2, 2)) plot(m4P) +## ---- cache = TRUE------------------------------------------------ + +##------------------------------------------- +## Testando a nulidade do parâmetro phi + +## Usando o ajuste Poisson +trv <- 2 * (logLik(m4C) - logLik(m4P)) +attributes(trv) <- NULL +round(c(trv, pchisq(trv, 1, lower = FALSE)), digits = 5) + +## Reajustando o COM-Poisson para phi = 0 (ou equivalente nu = 1) +m4Cfixed <- cmp(f4, data = capdesfo, fixed = list("phi" = 0)) +anova(m4C, m4Cfixed) + +## Via perfil de log-verossimilhança +perf <- profile(m4C, which = 1) +confint(perf) +plot(perf) + + ## ----------------------------------------------------------------- ##------------------------------------------- @@ -338,6 +358,26 @@ par(mfrow = c(2, 2)) plot(m3P) +## ---- cache = TRUE------------------------------------------------ + +##------------------------------------------- +## Testando a nulidade do parâmetro phi + +## Usando o ajuste Poisson +trv <- 2 * (logLik(m3C) - logLik(m3P)) +attributes(trv) <- NULL +round(c(trv, pchisq(trv, 1, lower = FALSE)), digits = 5) + +## Reajustando o COM-Poisson para phi = 0 (ou equivalente nu = 1) +m3Cfixed <- cmp(f3, data = capmosca, fixed = list("phi" = 0)) +anova(m3C, m3Cfixed) + +## Via perfil de log-verossimilhança +perf <- profile(m3C, which = 1) +confint(perf) +plot(perf) + + ## ----------------------------------------------------------------- ##------------------------------------------- @@ -416,3 +456,209 @@ update(xy, type = c("p", "g")) + panel = panel.superpose)) +## ----------------------------------------------------------------- + +data(ninfas) +str(ninfas) +## help(ninfas) + + +## ----------------------------------------------------------------- + +## Somente as cultivares que contém BRS na identificação +ninfas <- droplevels(subset(ninfas, grepl("BRS", x = cult))) + +## Categorizando a variável dias em aval +ninfas$aval <- factor(ninfas$dias) + +str(ninfas) + + +## ----------------------------------------------------------------- + +## Experimento balanceado +xtabs(~aval + cult, data = ninfas) + +(xy <- xyplot(ntot ~ aval | cult, + data = ninfas, + type = c("p", "g", "smooth"), + jitter.x = TRUE)) + +## Avaliando preliminarmente suposição de equidispersão +(mv <- aggregate(ntot ~ data + cult, data = ninfas, + FUN = function(x) c(mean = mean(x), var = var(x)))) + +xlim <- ylim <- extendrange(c(mv$ntot), f = 0.05) +xyplot(ntot[, "var"] ~ ntot[, "mean"], + data = mv, + xlim = xlim, + ylim = ylim, + ylab = "Variância Amostral", + xlab = "Média Amostral", + panel = function(x, y) { + panel.xyplot(x, y, type = c("p", "r"), grid = TRUE) + panel.abline(a = 0, b = 1, lty = 2) + }) + + +## ---- cache = TRUE------------------------------------------------ + +## Preditores considerados +f1 <- ntot ~ bloco + cult + aval +f2 <- ntot ~ bloco + cult * aval + +## Ajustando os modelos Poisson +m1P <- glm(f1, data = ninfas, family = poisson) +m2P <- glm(f2, data = ninfas, family = poisson) + +## Ajustando os modelos COM-Poisson +m1C <- cmp(f1, data = ninfas, sumto = 600) +m2C <- cmp(f2, data = ninfas, sumto = 600) + + +## ----------------------------------------------------------------- + +## Verossimilhancas dos modelos ajustados +cbind("Poisson" = sapply(list(m1P, m2P), logLik), + "COM-Poisson" = sapply(list(m1C, m2C), logLik)) + +## Teste de razão de verossimilhanças +anova(m1P, m2P, test = "Chisq") +anova(m1C, m2C) + + +## ----------------------------------------------------------------- + +## Estimativas dos parâmetros +summary(m1P) +summary(m1C) + + +## ----------------------------------------------------------------- + +## Um dos problemas computacionais do modelo COM-Poisson é a obtenção da +## constante de normalização Z. Assim uma visualização pós ajuste para +## verificar se o ajuste proporcionou uma densidade válida se faz +## necessária +convergencez(m1C, incremento = 100, maxit = 10) + + +## ----------------------------------------------------------------- + +## Dado que o modelo COM-Poisson leva as mesmas estimativas pontuais que +## o modelo Poisson a análise de diagnóstico padrão pode ser utilizada +par(mfrow = c(2, 2)) +plot(m1P) + + +## ---- cache = TRUE------------------------------------------------ + +##------------------------------------------- +## Testando a nulidade do parâmetro phi + +## Usando o ajuste Poisson +trv <- 2 * (logLik(m1C) - logLik(m1P)) +attributes(trv) <- NULL +round(c(trv, pchisq(trv, 1, lower = FALSE)), digits = 5) + +## Reajustando o COM-Poisson para phi = 0 (ou equivalente nu = 1) +m1Cfixed <- cmp(f1, data = ninfas, fixed = list("phi" = 0)) +anova(m1C, m1Cfixed) + +## Via perfil de log-verossimilhança +perf <- profile(m1C, which = 1) +confint(perf) +plot(perf) + + +## ----------------------------------------------------------------- + +##------------------------------------------- +## Verificando a matriz ve variâncias e covariâncias +Vcov <- vcov(m1C) +Corr <- cov2cor(Vcov) + +library(corrplot) +corrplot.mixed(Corr, lower = "number", upper = "ellipse", + diag = "l", tl.pos = "lt", tl.col = "black", + tl.cex = 0.8, col = brewer.pal(9, "Greys")[-(1:3)]) + + +## ----------------------------------------------------------------- + +## Predição pontual/intervalar +pred <- with(ninfas, + expand.grid( + bloco = factor(levels(bloco)[1], + levels = levels(bloco)), + cult = levels(cult), + aval = levels(aval) + )) +qn <- qnorm(0.975) * c(fit = 0, lwr = -1, upr = 1) + +f1; f1[[2]] <- NULL; f1 +X <- model.matrix(f1, data = pred) + +## Como não temos interesse na interpretação dos efeitos de blocos +## tomaremos a média desses efeitos para predição + +bl <- attr(X, "assign") == 1 +X[, bl] <- X[, bl] * 0 + 1/(sum(bl) + 1) +head(X) + +library(multcomp) + +##------------------------------------------- +## Considerando a Poisson +aux <- exp(confint(glht(m1P, linfct = X), + calpha = univariate_calpha())$confint) +colnames(aux) <- c("fit", "lwr", "upr") +aux <- data.frame(modelo = "Poisson", aux) +predP <- cbind(pred, aux) + +##------------------------------------------- +## Considerando a COM-Poisson + +## Obtendo os parâmetros da distribuição (lambdas e phi) +betas <- coef(m1C)[-1] +phi <- coef(m1C)[1] +loglambdas <- X %*% betas + +## Obtendo os erros padrão das estimativas +## Obs.: Deve-se usar a matriz de variâncias e covariâncias +## condicional, pois os parâmetros de locação (betas) e dispersão +## (phi) não são ortogonais. +Vc <- Vcov[-1, -1] - Vcov[-1, 1] %*% solve(Vcov[1, 1]) %*% Vcov[1, -1] +U <- chol(Vc) +se <- sqrt(apply(X %*% t(U), MARGIN = 1, FUN = function(x) { + sum(x^2) +})) + +aux <- c(loglambdas) + outer(se, qn, FUN = "*") +aux <- apply(aux, MARGIN = 2, + FUN = function(col) { + sapply(col, FUN = function(p) { + y <- 0:400; py <- dcmp(y, p, phi, sumto = 600) + sum(y*py) + }) + }) +aux <- data.frame(modelo = "COM-Poisson", aux) +predC <- cbind(pred, aux) + +##------------------------------------------- +## Visualizando os valores preditos intervalares pelos dois modelos +da <- rbind(predP, predC) +da <- da[order(da$cult, da$aval, da$modelo), ] + +source(paste0("https://gitlab.c3sl.ufpr.br/leg/legTools/raw/", + "issue%2315/R/panel.segplot.by.R")) + +update(xy, type = c("p", "g"), alpha = 0.5) + + as.layer(segplot( + aval ~ lwr + upr | cult, centers = fit, + data = da, + horizontal = FALSE, draw = FALSE, lwd = 2, grid = TRUE, + panel = panel.segplot.by, groups = modelo, f = 0.1, + pch = 1:nlevels(pred$modelo)+2, as.table = TRUE)) + + diff --git a/inst/doc/compoisson.html b/inst/doc/v05_compoisson.html similarity index 79% rename from inst/doc/compoisson.html rename to inst/doc/v05_compoisson.html index e7d7167..2650882 100644 --- a/inst/doc/compoisson.html +++ b/inst/doc/v05_compoisson.html @@ -123,7 +123,7 @@ table.header { <li><a href="#avaliando-modelo-proposto-1">Avaliando modelo proposto</a></li> <li><a href="#predicao-1">Predição</a></li> </ul></li> -<li><a href="#ocorrencia-de-mosca-branca-em-variedades-de-soja">Ocorrência de mosca-branca em variedades de soja</a><ul> +<li><a href="#ocorrencia-de-ninfas-de-mosca-branca-em-variedades-de-soja">Ocorrência de ninfas de mosca-branca em variedades de soja</a><ul> <li><a href="#analise-exploratoria-2">Análise Exploratória</a></li> <li><a href="#ajuste-dos-modelos-2">Ajuste dos modelos</a></li> <li><a href="#comparacao-dos-ajustes-2">Comparação dos ajustes</a></li> @@ -875,22 +875,358 @@ update(xy, type = c("p", "g")) + <p><img 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" title alt style="display: block; margin: auto;" /></p> </div> </div> -<div id="ocorrencia-de-mosca-branca-em-variedades-de-soja" class="section level1"> -<h1>Ocorrência de mosca-branca em variedades de soja</h1> +<div id="ocorrencia-de-ninfas-de-mosca-branca-em-variedades-de-soja" class="section level1"> +<h1>Ocorrência de ninfas de mosca-branca em variedades de soja</h1> +<pre class="r"><code>data(ninfas) +str(ninfas)</code></pre> +<pre><code>## 'data.frame': 240 obs. of 8 variables: +## $ data : Date, format: "2009-12-11" ... +## $ dias : int 0 0 0 0 0 0 0 0 0 0 ... +## $ cult : Factor w/ 10 levels "BRS 239","BRS 243 RR",..: 3 3 3 3 2 2 2 2 4 4 ... +## $ bloco: Factor w/ 4 levels "I","II","III",..: 1 2 3 4 1 2 3 4 1 2 ... +## $ nsup : int 168 30 28 6 31 4 3 48 100 54 ... +## $ nmed : int 71 46 36 1 22 6 12 76 50 15 ... +## $ ninf : int 39 22 7 31 28 10 27 13 34 7 ... +## $ ntot : int 278 98 71 38 81 20 42 137 184 76 ...</code></pre> +<pre class="r"><code>## help(ninfas)</code></pre> +<p>Experimento conduzido em casa de vegetação sob o delineamento de blocos casualizados. No experimento foram avaliadas plantas de diferentes cultivares de soja contabilizando o número de ninfas de mosca-branca nos folíolos dos terços superior, médio e inferior das plantas. As avaliações ocorreram em 6 datas dentre os 38 dias do estudo.</p> +<p>Nesta análise serão consideradas somente as cultivares com prefixo , sendo o número total de ninfas de mosca-branca nos folíolos a variável de interesse.</p> +<pre class="r"><code>## Somente as cultivares que contém BRS na identificação +ninfas <- droplevels(subset(ninfas, grepl("BRS", x = cult))) + +## Categorizando a variável dias em aval +ninfas$aval <- factor(ninfas$dias) + +str(ninfas)</code></pre> +<pre><code>## 'data.frame': 96 obs. of 9 variables: +## $ data : Date, format: "2009-12-11" ... +## $ dias : int 0 0 0 0 0 0 0 0 0 0 ... +## $ cult : Factor w/ 4 levels "BRS 239","BRS 243 RR",..: 3 3 3 3 2 2 2 2 4 4 ... +## $ bloco: Factor w/ 4 levels "I","II","III",..: 1 2 3 4 1 2 3 4 1 2 ... +## $ nsup : int 168 30 28 6 31 4 3 48 100 54 ... +## $ nmed : int 71 46 36 1 22 6 12 76 50 15 ... +## $ ninf : int 39 22 7 31 28 10 27 13 34 7 ... +## $ ntot : int 278 98 71 38 81 20 42 137 184 76 ... +## $ aval : Factor w/ 6 levels "0","8","13","22",..: 1 1 1 1 1 1 1 1 1 1 ...</code></pre> +<p>Assim as variáveis consideradas são definidas como:</p> <div id="analise-exploratoria-2" class="section level2"> <h2>Análise Exploratória</h2> +<pre class="r"><code>## Experimento balanceado +xtabs(~aval + cult, data = ninfas)</code></pre> +<pre><code>## cult +## aval BRS 239 BRS 243 RR BRS 245 RR BRS 246 RR +## 0 4 4 4 4 +## 8 4 4 4 4 +## 13 4 4 4 4 +## 22 4 4 4 4 +## 31 4 4 4 4 +## 38 4 4 4 4</code></pre> +<pre class="r"><code>(xy <- xyplot(ntot ~ aval | cult, + data = ninfas, + type = c("p", "g", "smooth"), + jitter.x = TRUE))</code></pre> +<p><img src="data:image/png;base64,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" title alt style="display: block; margin: auto;" /></p> +<pre class="r"><code>## Avaliando preliminarmente suposição de equidispersão +(mv <- aggregate(ntot ~ data + cult, data = ninfas, + FUN = function(x) c(mean = mean(x), var = var(x))))</code></pre> +<pre><code>## data cult ntot.mean ntot.var +## 1 2009-12-11 BRS 239 111.50000 475.66667 +## 2 2009-12-19 BRS 239 149.00000 5262.66667 +## 3 2009-12-24 BRS 239 170.25000 2889.58333 +## 4 2010-01-02 BRS 239 54.75000 1634.91667 +## 5 2010-01-11 BRS 239 6.25000 28.91667 +## 6 2010-01-18 BRS 239 4.75000 40.91667 +## 7 2009-12-11 BRS 243 RR 70.00000 2631.33333 +## 8 2009-12-19 BRS 243 RR 76.25000 8435.58333 +## 9 2009-12-24 BRS 243 RR 62.50000 2367.00000 +## 10 2010-01-02 BRS 243 RR 30.00000 680.66667 +## 11 2010-01-11 BRS 243 RR 4.50000 9.00000 +## 12 2010-01-18 BRS 243 RR 3.50000 40.33333 +## 13 2009-12-11 BRS 245 RR 121.25000 11522.25000 +## 14 2009-12-19 BRS 245 RR 127.00000 9622.00000 +## 15 2009-12-24 BRS 245 RR 113.50000 7052.33333 +## 16 2010-01-02 BRS 245 RR 32.00000 568.66667 +## 17 2010-01-11 BRS 245 RR 9.50000 51.00000 +## 18 2010-01-18 BRS 245 RR 9.00000 134.66667 +## 19 2009-12-11 BRS 246 RR 86.75000 4691.58333 +## 20 2009-12-19 BRS 246 RR 124.00000 4790.66667 +## 21 2009-12-24 BRS 246 RR 133.25000 5726.91667 +## 22 2010-01-02 BRS 246 RR 38.75000 648.91667 +## 23 2010-01-11 BRS 246 RR 7.00000 72.66667 +## 24 2010-01-18 BRS 246 RR 4.50000 69.66667</code></pre> +<pre class="r"><code>xlim <- ylim <- extendrange(c(mv$ntot), f = 0.05) +xyplot(ntot[, "var"] ~ ntot[, "mean"], + data = mv, + xlim = xlim, + ylim = ylim, + ylab = "Variância Amostral", + xlab = "Média Amostral", + panel = function(x, y) { + panel.xyplot(x, y, type = c("p", "r"), grid = TRUE) + panel.abline(a = 0, b = 1, lty = 2) + })</code></pre> +<p><img 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" title alt style="display: block; margin: auto;" /></p> </div> <div id="ajuste-dos-modelos-2" class="section level2"> <h2>Ajuste dos modelos</h2> +<pre class="r"><code>## Preditores considerados +f1 <- ntot ~ bloco + cult + aval +f2 <- ntot ~ bloco + cult * aval + +## Ajustando os modelos Poisson +m1P <- glm(f1, data = ninfas, family = poisson) +m2P <- glm(f2, data = ninfas, family = poisson) + +## Ajustando os modelos COM-Poisson +m1C <- cmp(f1, data = ninfas, sumto = 600) +m2C <- cmp(f2, data = ninfas, sumto = 600)</code></pre> +<pre><code>## Warning in bbmle::mle2(llcmp, start = start, data = list(y = y, X +## = X, offset = off, : convergence failure: code=1 (iteration limit +## 'maxit' reached)</code></pre> </div> <div id="comparacao-dos-ajustes-2" class="section level2"> <h2>Comparação dos ajustes</h2> +<pre class="r"><code>## Verossimilhancas dos modelos ajustados +cbind("Poisson" = sapply(list(m1P, m2P), logLik), + "COM-Poisson" = sapply(list(m1C, m2C), logLik))</code></pre> +<pre><code>## Poisson COM-Poisson +## [1,] -922.9782 -410.4440 +## [2,] -879.2287 -407.1331</code></pre> +<pre class="r"><code>## Teste de razão de verossimilhanças +anova(m1P, m2P, test = "Chisq")</code></pre> +<pre><code>## Analysis of Deviance Table +## +## Model 1: ntot ~ bloco + cult + aval +## Model 2: ntot ~ bloco + cult * aval +## Resid. Df Resid. Dev Df Deviance Pr(>Chi) +## 1 84 1371.3 +## 2 69 1283.8 15 87.499 2.897e-12 *** +## --- +## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1</code></pre> +<pre class="r"><code>anova(m1C, m2C)</code></pre> +<pre><code>## Likelihood Ratio Tests +## Model 1: m1C, [llcmp]: phi+(Intercept)+blocoII+blocoIII+ +## blocoIV+cultBRS 243 RR+cultBRS 245 RR+cultBRS 246 RR+ +## aval8+aval13+aval22+aval31+aval38 +## Model 2: m2C, [llcmp]: phi+(Intercept)+blocoII+blocoIII+ +## blocoIV+cultBRS 243 RR+cultBRS 245 RR+cultBRS 246 RR+ +## aval8+aval13+aval22+aval31+aval38+cultBRS 243 +## RR:aval8+cultBRS 245 RR:aval8+cultBRS 246 RR:aval8+ +## cultBRS 243 RR:aval13+cultBRS 245 RR:aval13+cultBRS 246 +## RR:aval13+cultBRS 243 RR:aval22+cultBRS 245 RR:aval22+ +## cultBRS 246 RR:aval22+cultBRS 243 RR:aval31+cultBRS 245 +## RR:aval31+cultBRS 246 RR:aval31+cultBRS 243 RR:aval38+ +## cultBRS 245 RR:aval38+cultBRS 246 RR:aval38 +## Tot Df Deviance Chisq Df Pr(>Chisq) +## 1 13 820.89 +## 2 28 814.27 6.6219 15 0.9673</code></pre> +<pre class="r"><code>## Estimativas dos parâmetros +summary(m1P)</code></pre> +<pre><code>## +## Call: +## glm(formula = f1, family = poisson, data = ninfas) +## +## Deviance Residuals: +## Min 1Q Median 3Q Max +## -13.2911 -3.0119 -0.7386 1.7743 12.3560 +## +## Coefficients: +## Estimate Std. Error z value Pr(>|z|) +## (Intercept) 5.33397 0.03480 153.262 < 2e-16 *** +## blocoII -0.52019 0.03228 -16.114 < 2e-16 *** +## blocoIII -0.81268 0.03555 -22.857 < 2e-16 *** +## blocoIV -0.99360 0.03792 -26.204 < 2e-16 *** +## cultBRS 243 RR -0.69921 0.03894 -17.954 < 2e-16 *** +## cultBRS 245 RR -0.18595 0.03332 -5.582 2.38e-08 *** +## cultBRS 246 RR -0.23060 0.03373 -6.837 8.10e-12 *** +## aval8 0.20108 0.03416 5.887 3.94e-09 *** +## aval13 0.20788 0.03411 6.095 1.09e-09 *** +## aval22 -0.91822 0.04743 -19.360 < 2e-16 *** +## aval31 -2.65981 0.09908 -26.846 < 2e-16 *** +## aval38 -2.88525 0.11016 -26.191 < 2e-16 *** +## --- +## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 +## +## (Dispersion parameter for poisson family taken to be 1) +## +## Null deviance: 7106.3 on 95 degrees of freedom +## Residual deviance: 1371.3 on 84 degrees of freedom +## AIC: 1870 +## +## Number of Fisher Scoring iterations: 5</code></pre> +<pre class="r"><code>summary(m1C)</code></pre> +<pre><code>## Maximum likelihood estimation +## +## Call: +## bbmle::mle2(minuslogl = llcmp, start = start, data = list(y = y, +## X = X, offset = off, sumto = sumto), vecpar = TRUE) +## +## Coefficients: +## Estimate Std. Error z value Pr(z) +## phi -3.0829138 0.2092160 -14.7356 < 2.2e-16 *** +## (Intercept) 0.2434784 0.0518954 4.6917 2.709e-06 *** +## blocoII -0.0268210 0.0088711 -3.0234 0.0024994 ** +## blocoIII -0.0428702 0.0113061 -3.7918 0.0001496 *** +## blocoIV -0.0533294 0.0129892 -4.1057 4.031e-05 *** +## cultBRS 243 RR -0.0380971 0.0113435 -3.3585 0.0007837 *** +## cultBRS 245 RR -0.0096912 0.0078249 -1.2385 0.2155260 +## cultBRS 246 RR -0.0120559 0.0080379 -1.4999 0.1336482 +## aval8 0.0103005 0.0079581 1.2943 0.1955470 +## aval13 0.0106430 0.0079610 1.3369 0.1812566 +## aval22 -0.0523118 0.0143159 -3.6541 0.0002581 *** +## aval31 -0.2305532 0.0452463 -5.0955 3.478e-07 *** +## aval38 -0.2708014 0.0530935 -5.1005 3.388e-07 *** +## --- +## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 +## +## -2 log L: 820.888</code></pre> </div> <div id="avaliando-modelo-proposto-2" class="section level2"> <h2>Avaliando modelo proposto</h2> +<pre class="r"><code>## Um dos problemas computacionais do modelo COM-Poisson é a obtenção da +## constante de normalização Z. Assim uma visualização pós ajuste para +## verificar se o ajuste proporcionou uma densidade válida se faz +## necessária +convergencez(m1C, incremento = 100, maxit = 10)</code></pre> +<p><img src="data:image/png;base64,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" title alt style="display: block; margin: auto;" /></p> +<pre class="r"><code>## Dado que o modelo COM-Poisson leva as mesmas estimativas pontuais que +## o modelo Poisson a análise de diagnóstico padrão pode ser utilizada +par(mfrow = c(2, 2)) +plot(m1P)</code></pre> +<p><img 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" title alt style="display: block; margin: auto;" /></p> +<pre class="r"><code>##------------------------------------------- +## Testando a nulidade do parâmetro phi + +## Usando o ajuste Poisson +trv <- 2 * (logLik(m1C) - logLik(m1P)) +attributes(trv) <- NULL +round(c(trv, pchisq(trv, 1, lower = FALSE)), digits = 5)</code></pre> +<pre><code>## [1] 1025.068 0.000</code></pre> +<pre class="r"><code>## Reajustando o COM-Poisson para phi = 0 (ou equivalente nu = 1) +m1Cfixed <- cmp(f1, data = ninfas, fixed = list("phi" = 0)) +anova(m1C, m1Cfixed)</code></pre> +<pre><code>## Likelihood Ratio Tests +## Model 1: m1C, [llcmp]: phi+(Intercept)+blocoII+blocoIII+ +## blocoIV+cultBRS 243 RR+cultBRS 245 RR+cultBRS 246 RR+ +## aval8+aval13+aval22+aval31+aval38 +## Model 2: m1Cfixed, [llcmp]: (Intercept)+blocoII+blocoIII+ +## blocoIV+cultBRS 243 RR+cultBRS 245 RR+cultBRS 246 RR+ +## aval8+aval13+aval22+aval31+aval38 +## Tot Df Deviance Chisq Df Pr(>Chisq) +## 1 13 820.89 +## 2 12 1845.96 1025.1 1 < 2.2e-16 *** +## --- +## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1</code></pre> +<pre class="r"><code>## Via perfil de log-verossimilhança +perf <- profile(m1C, which = 1) +confint(perf)</code></pre> +<pre><code>## 2.5 % 97.5 % +## -3.550614 -2.700415</code></pre> +<pre class="r"><code>plot(perf)</code></pre> +<p><img 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" title alt style="display: block; margin: auto;" /></p> +<pre class="r"><code>##------------------------------------------- +## Verificando a matriz ve variâncias e covariâncias +Vcov <- vcov(m1C) +Corr <- cov2cor(Vcov) + +library(corrplot) +corrplot.mixed(Corr, lower = "number", upper = "ellipse", + diag = "l", tl.pos = "lt", tl.col = "black", + tl.cex = 0.8, col = brewer.pal(9, "Greys")[-(1:3)])</code></pre> +<p><img 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" title alt style="display: block; margin: auto;" /></p> </div> <div id="predicao-2" class="section level2"> <h2>Predição</h2> +<pre class="r"><code>## Predição pontual/intervalar +pred <- with(ninfas, + expand.grid( + bloco = factor(levels(bloco)[1], + levels = levels(bloco)), + cult = levels(cult), + aval = levels(aval) + )) +qn <- qnorm(0.975) * c(fit = 0, lwr = -1, upr = 1) + +f1; f1[[2]] <- NULL; f1</code></pre> +<pre><code>## ntot ~ bloco + cult + aval</code></pre> +<pre><code>## ~bloco + cult + aval</code></pre> +<pre class="r"><code>X <- model.matrix(f1, data = pred) + +## Como não temos interesse na interpretação dos efeitos de blocos +## tomaremos a média desses efeitos para predição + +bl <- attr(X, "assign") == 1 +X[, bl] <- X[, bl] * 0 + 1/(sum(bl) + 1) +head(X)</code></pre> +<pre><code>## (Intercept) blocoII blocoIII blocoIV cultBRS 243 RR +## 1 1 0.25 0.25 0.25 0 +## 2 1 0.25 0.25 0.25 1 +## 3 1 0.25 0.25 0.25 0 +## 4 1 0.25 0.25 0.25 0 +## 5 1 0.25 0.25 0.25 0 +## 6 1 0.25 0.25 0.25 1 +## cultBRS 245 RR cultBRS 246 RR aval8 aval13 aval22 aval31 aval38 +## 1 0 0 0 0 0 0 0 +## 2 0 0 0 0 0 0 0 +## 3 1 0 0 0 0 0 0 +## 4 0 1 0 0 0 0 0 +## 5 0 0 1 0 0 0 0 +## 6 0 0 1 0 0 0 0</code></pre> +<pre class="r"><code>library(multcomp) + +##------------------------------------------- +## Considerando a Poisson +aux <- exp(confint(glht(m1P, linfct = X), + calpha = univariate_calpha())$confint) +colnames(aux) <- c("fit", "lwr", "upr") +aux <- data.frame(modelo = "Poisson", aux) +predP <- cbind(pred, aux) + +##------------------------------------------- +## Considerando a COM-Poisson + +## Obtendo os parâmetros da distribuição (lambdas e phi) +betas <- coef(m1C)[-1] +phi <- coef(m1C)[1] +loglambdas <- X %*% betas + +## Obtendo os erros padrão das estimativas +## Obs.: Deve-se usar a matriz de variâncias e covariâncias +## condicional, pois os parâmetros de locação (betas) e dispersão +## (phi) não são ortogonais. +Vc <- Vcov[-1, -1] - Vcov[-1, 1] %*% solve(Vcov[1, 1]) %*% Vcov[1, -1] +U <- chol(Vc) +se <- sqrt(apply(X %*% t(U), MARGIN = 1, FUN = function(x) { + sum(x^2) +})) + +aux <- c(loglambdas) + outer(se, qn, FUN = "*") +aux <- apply(aux, MARGIN = 2, + FUN = function(col) { + sapply(col, FUN = function(p) { + y <- 0:400; py <- dcmp(y, p, phi, sumto = 600) + sum(y*py) + }) + }) +aux <- data.frame(modelo = "COM-Poisson", aux) +predC <- cbind(pred, aux) + +##------------------------------------------- +## Visualizando os valores preditos intervalares pelos dois modelos +da <- rbind(predP, predC) +da <- da[order(da$cult, da$aval, da$modelo), ] + +source(paste0("https://gitlab.c3sl.ufpr.br/leg/legTools/raw/", + "issue%2315/R/panel.segplot.by.R")) + +update(xy, type = c("p", "g"), alpha = 0.5) + + as.layer(segplot( + aval ~ lwr + upr | cult, centers = fit, + data = da, + horizontal = FALSE, draw = FALSE, lwd = 2, grid = TRUE, + panel = panel.segplot.by, groups = modelo, f = 0.1, + pch = 1:nlevels(pred$modelo)+2, as.table = TRUE))</code></pre> +<p><img 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" 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