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a/docs/cap03_materiais-e-metodos.Rnw +++ b/docs/cap03_materiais-e-metodos.Rnw @@ -3,13 +3,13 @@ % ------------------------------------------------------------------------ Essa seção é destinada a apresentação dos conjuntos de dados analisados -no trabalho, descrição dos recursos computacionais e métodos utilizados +no trabalho e descrição dos recursos computacionais e métodos utilizados na análise. Na seção \ref{cap03:materiais-dados} os conjuntos de dados seão apresentados, ao todo são seis conjuntos de dados com diferentes caracterÃsticas. Os recursos computacionais utilizados são descritos na -seção \ref{cap03:materiais-recursos}. E na última seção -\ref{cap03:metodos} deste capÃtulo são apresentados os métodos para -ajuste e comparação dos modelos alternativos propostos. +seção \ref{cap03:materiais-recursos}. Na última seção +\ref{cap03:metodos} desse capÃtulo são apresentados os métodos para +ajuste, avaliação e comparação dos modelos propostos. \section{Materias} \label{cap03:materiais} @@ -17,20 +17,19 @@ ajuste e comparação dos modelos alternativos propostos. \subsection{Conjuntos de dados} \label{cap03:materiais-dados} -A seguir são apresentados os seis conjuntos de dados analisados com os -modelos alternativos propostos. Os dados em estudo são, quase em sua -totalidade, resultantes de experimentos agronômicos com delineamentos -balanceados o que é uma caracterÃstica desejável, haja visto que o -principal interesse é a avaliação do desempenho do modelo COM-Poisson -quando empregado a análise desses dados. +A seguir são apresentados os seis conjuntos de dados utilizados para +avaliar o desempenho dos modelos COM-Poisson. Os dados em estudo são, +quase em sua totalidade, resultantes de experimentos agronômicos com +delineamentos balanceados, o que é uma caracterÃstica desejável, haja +visto que o principal interesse é a avaliação do desempenho do modelo +COM-Poisson quando empregado a análise desses dados. A apresentação dos conjuntos segue a ordem de 1) descrição do experimento ou estudo em destaque, 2) definição das variáveis e suas -unidades de medidas e 3) descrição de suas caracterÃsticas potencialmente -contempladas por modelos alternativos ao Poisson. +unidades de medidas e 3) descrição de suas caracterÃsticas, +potencialmente contempladas por modelos alternativos ao Poisson. -%% {\normalsize \textsc{Capulhos de Algodão em Função de Desfolha}} -\subsubsection{Capulhos de Algodão em Sob Efeito de Desfolha Artificial} +\subsubsection{Capulhos de algodão sob efeito de desfolha artificial} \label{sec:cottonBolls} <<data-cottonBolls, include=FALSE, echo=FALSE>>= @@ -52,20 +51,23 @@ unidade experimental foi um vaso com duas plantas onde avaliou-se o número de capulhos produzidos ao final da ciclo cultura \apud{Zeviani2014}{Silva2012}. O experimento contou com \Sexpr{nrow(cottonBolls)} observações das quais temos as informações das -variáveis. +variáveis número de capulhos de algodão produzidos, \texttt{ncap}, +nÃvel de desfolha de remoção foliar, \texttt{des} e estágio fenológico +das planta na unidade experimental, \texttt{est}. Esse conjunto de dados já fora publicado sob a motivação da caracterÃstica de subdispersão, na ocasião o modelo proposto na análise -foi o \textit{Gamma-Count}. Na \ref{descr-cottonBolls}, apresenta-se os -dados do experimento, à esquerda temos a disposição das cinco -observações em cada tratamento (combinação de nÃvel de desfolha e -estágio fenológico do algodão) e à direita um outro gráfico descritivo -cruzando médias e variâncias amostrais calculadas em cada tratamento, a -linha pontilhada neste caso representa a caracterÃstica de -equidispersão. Note que em todos os tratamentos obteve-se a média -menor que a variância apontando evidência de subdispersão. - -<<descr-cottonBolls, fig.height=4.5, fig.width=8, fig.cap="(Esquerda) Número de capulhos produzidos para cada nÃvel de desfolha e estágio fenológico. (Direita) Variância versus média amostral de cada uma das cinco repetições em cada combinação de nÃvel de desfolha e estágio fenológico">>= +foi o \textit{Gamma-Count} \cite{Zeviani2014}. Na figura +\ref{fig:descr-cottonBolls}, apresentamos os dados do experimento. A +esquerda temos a disposição das cinco observações em cada tratamento +(combinação de nÃvel de desfolha e estágio fenológico do algodão) e à +direita um gráfico descritivo cruzando médias e variâncias amostrais +calculadas em cada tratamento, onde a linha pontilhada representa a +caracterÃstica de equidispersão, média igua a variância. Em todos os +tratamentos obteve-se a média menor que a variância apontando evidência +de subdispersão. + +<<descr-cottonBolls, fig.height=4.5, fig.width=8, fig.cap="(Esquerda) Número de capulhos produzidos para cada nÃvel de desfolha e estágio fenológico. (Direita) Médias e variâncias das cinco repetições em cada combinação de nÃvel de desfolha e estágio fenológico.">>= library(tccPackage) xy1 <- xyplot(ncap ~ des | est, @@ -106,45 +108,32 @@ fonte.xy("Fonte: Traduzido de Zeviani et al. (Figura 2)") @ -\subsubsection{Avaliação da Exposição à Mosca-branca na produção da cultura - de algodão} +\subsubsection{Produtividade de algodão sob efeito de insfestação de Mosca-branca} \label{sec:cottonBolls2} <<data-cottonBolls2, include=FALSE, echo=FALSE>>= data(cottonBolls2, package = "tccPackage") -## niveis.des <- paste0(paste(unique(cottonBolls$des)*100, -## collapse = ", "), "\\%") +niveis.dexp <- paste0(paste(unique(cottonBolls2$dexp), + collapse = ", "), " dias") @ Experimento conduzido na Universidade Federal da Grande Dourados (UFGD) em 2007, cujo objetivo foi avaliar os impactos da exposição de plantas à -alta infestação de Mosca-Branca \emph{Bemisia tabaci} em componentes de +alta infestação de Mosca-branca \emph{Bemisia tabaci} em componentes de produção do algodão \footnote{Experimento ainda não publicado.}. No experimento, plantas de algodão foram expostas à alta infestação da -praga por perÃodos diferentes e ao final avaliou-se o número de capulhos -produzidos, o número de estruturas reprodutivas, o número de nós, a -altura da planta e o peso dos capulhos por vaso. A condução do estudo -deu-se via delineamento interamente casualizado com cinco vasos, -contendo duas plantas, para cada perÃodo de exposição. Na figura -\ref{fig:descr-cottonBolls2} apresentamos a disposição de cada uma das -variáveis aleatórias de contagem número de estruturas reprodutivas, -número de capulhos produzidos e número de nós da planta para os -diferentes perÃodos em que as plantas estavam sob alta infestação de -Mosca-branca. Notamos que para todas as contagens parece que há um -comportamento subdisperso. - -A indicação de subdispersão também se observa na tabela -\ref{tab:mv-cottonBolls2}, cujo temos as médias e variâncias amostrais -calculadas com as observações nos seis perÃodos de exposição à -infestação de Mosca-branca. Note que nesse experimento também há -indÃcios de subdispersão para todas as contagens realizados no -experimento, ainda a manisfestação de subdispersão na contagem do número -de nós da planta é mais expressiva. - -<<descr-cottonBolls2, fig.height=4, fig.width=7.2, fig.cap="Disposição das variáveis de contagem nº de estruturas reprodutivas, nº de capulhos produzidos e nº de nós da planta observadas sob diferentes dias de exposição à infestação de Mosca-branca">>= +praga por diferentes perÃodos, \Sexpr{niveis.dexp} onde avaliou-se o +número de capulhos produzidos, \texttt{ncapu}, o número de estruturas +reprodutivas, \texttt{nerep} e o número de nós \texttt{nnos}, como +variáveis de interesse que representam a produtividade do cultivo de +algodão. A condução do estudo deu-se via delineamento interamente +casualizado com cinco vasos contendo duas plantas, para cada perÃodo de +exposição. + +<<descr-cottonBolls2, fig.height=3.5, fig.width=7, fig.cap="Disposição das variáveis de contagem nº de estruturas reprodutivas, nº de capulhos produzidos e nº de nós da planta observadas sob diferentes dias de exposição à infestação de Mosca-branca.">>= vars <- c("dexp", "vaso", "planta", "nerep", "ncapu", "nnos") cottonBolls2 <- cottonBolls2[, vars] @@ -153,7 +142,7 @@ da <- reshape2::melt(cottonBolls2, id = c("dexp", "vaso", "planta"), variable.name = "va", value.name = "count") ## da <- aggregate(count ~ vaso + dexp + va, data = da, FUN = sum) -xyplot(count ~ dexp | va, groups = planta, data = da, +xyplot(count ~ dexp | va, data = da, type = c("p", "g", "smooth"), layout = c(NA, 1), ylab = "Contagens", @@ -176,6 +165,21 @@ fonte.xy("Fonte: Elaborado pelo autor.") @ +Na figura \ref{fig:descr-cottonBolls2} apresentamos a disposição de cada +uma das variáveis aleatórias de contagem número de estruturas +reprodutivas, número de capulhos produzidos e número de nós da planta +para os diferentes perÃodos em que as plantas estiveram sob alta +infestação de Mosca-branca. Para todas as contagens parece haver um +comportamento subdisperso. A indicação de subdispersão também se observa +na tabela \ref{tab:mv-cottonBolls2}, onde temos as médias e variâncias +amostrais calculadas com as dez observações nos seis perÃodos de +exposição à infestação de Mosca-branca. Em todos os casos observa-se as +variâncias amostrais substancialmente menores que respectivas médias, +ainda a manisfestação de subdispersão é mais expressiva na variável +número de nós da planta. Portanto, nesse experimento modelos +alternativos ao Poisson devem ser empregados, pois a suposição de +equidispersão é violada. + <<mv-cottonBolls2, include=FALSE>>= ##------------------------------------------- @@ -220,8 +224,8 @@ mv <- cbind(mvr[1:6, 1], mv[1:6, ], mv[7:12, ], mv[13:18, ]) \end{tablenotes} \end{table} -\subsubsection{Avaliação de Umidade do Solo e Doses de Potássio na Cultura - da Soja} +\subsubsection{Produtividade de soja sob efeito de umidade do solo e + adubação potássica} \label{sec:soyaBeans} <<data-soyaBeans, include=FALSE, echo=FALSE>>= @@ -230,17 +234,28 @@ data(soyaBeans, package = "tccPackage") soyaBeans <- soyaBeans[-74, ] ## outlier identificado soyaBeans <- soyaBeans[, c("K", "umid", "bloc", "ngra", "nvag")] +niveis.K <- paste0( + paste(unique(soyaBeans$K), + collapse = ", "), " mg dm$^{-3}$") + +niveis.umid <- paste0( + paste(unique(soyaBeans$umid), + collapse = ", "), " \\% do volume total dos poros") + @ -Experimento fatorial 5 $\times$ 3 que estudou nÃveis de adubação -potássica e nÃveis de umidade do solo nos componentes de produção da -soja. O experimento foi instalado em casa de vegetação no delineamento -de blocos casualizados completos e a unidade experimental foi um vaso -com duas plantas de soja. No experimento foram medidas várias respostas, -sendo que o número de vagens por vaso e o número de grãos por vaso foram -as variáveis de contagem (\textbf{citar o artigo do experimento}). +Experimento fatorial 5 $\times$ 3 que estudou diferentes nÃveis de +adubação potássica aplicada ao solo, \Sexpr{niveis.K} e diferentes +nÃveis de umidade do solo, \Sexpr{niveis.umid}, que representam pouca +água, água em quantidade ideal e água em abundância, nos componentes de +produção da soja. O experimento foi instalado em casa de vegetação no +delineamento de blocos casualizados completos e a unidade experimental +foi um vaso com duas plantas de soja. No experimento foram medidas +várias variáveis respostas (que representam a produtividade), sendo que +o número de vagens viáveis por vaso e o número de grãos por vaso foram +as variáveis de contagem \cite{Serafim2012}. -<<descr-soyaBeans, fig.height=4, fig.width=7.2, fig.cap="Disposição das variáveis de contagem nº de grãos e nº de vagens viáveis por parcela observadas no experimento com a cultura de soja">>= +<<descr-soyaBeans, fig.height=4, fig.width=7.2, fig.cap="Disposição das variáveis número de grãos e número de vagens nos diferentes nÃveis de adubação potássica e umidade do solo.">>= cols <- trellis.par.get("superpose.line")$col[1:2] key <- list( @@ -268,18 +283,17 @@ fonte.xy("Fonte: Elaborado pelo autor.") Na figura \ref{fig:descr-soyaBeans} apresentamos a dispersão das contagens nas combinações das covariáveis umidade do solo e adubação -potássica. Perceba que as duas variáveis de contagem avaliadas no -experimento apresentam nÃveis de dispersão distintos, essa -caracterÃstica fica explÃcita na figura \ref{fig:mv-soyaBeans}, em que -apresentamos as dispersões entre médias e variâncias amostrais para cada -uma das variáveis de contagem. Para o número de grãos por parcela, com -contagens mais elevadas, as variâncias amostrais são, quase em sua -totalidade, superiores as médias caracterizando uma evidência de -superdispersão. Já para o número de vagens por parcela temos médias e -variâncias, em média, próximas o que é indÃcia que a suposição de -equidispersão é razoável. - -<<mv-soyaBeans, fig.height=3.5, fig.width=7, fig.cap="Médias e variâncias amostrais das contagens avaliadas no experimento com cultura de soja sob efeito umidade e adubação potássica">>= +potássica. As duas variáveis de contagem avaliadas no experimento +apresentam nÃveis de dispersão distintos, essa caracterÃstica fica +explÃcita na figura \ref{fig:mv-soyaBeans}, em que apresentamos as +dispersões entre médias e variâncias amostrais para cada uma das +variáveis. Para o número de grãos por parcela, com contagens mais +elevadas, as variâncias amostrais são, quase em sua totalidade, +superiores as médias caracterizando uma evidência de superdispersão. Já +para o número de vagens por parcela temos médias e variâncias, em média, +próximas o que é indÃcia que a suposição de equidispersão é razoável. + +<<mv-soyaBeans, fig.height=3.5, fig.width=7, fig.cap="Médias e variâncias amostrais das contagens de grão e vagens, avaliadas no experimento com soja sob efeito umidade e adubação potássica.">>= ##------------------------------------------- ## Dados em long @@ -342,38 +356,43 @@ fonte.xy("Fonte: Elaborado pelo autor.") @ -\subsubsection{Ocorrência de Ninfas de Mosca-Branca em Lavoura de Soja} +\subsubsection{Ocorrência de ninfas de Mosca-branca em lavoura de soja} \label{sec:whiteFly} -<<data-whiteFly, include=FALSE, echo=FALSE>>= +<<data-whiteFly, include=FALSE, cache=FALSE>>= data(whiteFly, package = "tccPackage") ## Somente as cultivares que contém BRS na identificação whiteFly <- droplevels(subset(whiteFly, grepl("BRS", x = cult))) +niveis.cult <- paste0(unique(whiteFly$cult), collapse = ", ") +niveis.data <- paste0(format(unique(whiteFly$data), "%d/%m/%y"), + collapse = ", ") + @ Nesse experimento também envolvendo a cultura de soja e a praga -Mosca-branca, foram avaliadas plantas de diferentes cultivares de soja -\texttt{BRS} - Embrapa contabilizando o número de ninfas de mosca-branca -nos folÃolos dos terços superior, médio e inferior das plantas. O -experimento foi conduzido em casa de vegetação sob o delineamento de -blocos casualizados e as avaliações ocorreram em 6 datas dentre os 38 -dias do estudo \textbf{citar a dissertação do Renato}. - -Na figura \ref{fig:descr-ninfas}, à esquerda apresentamos as contagens -da praga para cada cultivar em cada uma das datas de avaliação. Note que -as contagens são muito altas e deveras dispersas, principalmente nas -quatro primeiras avaliações, à direita temos uma descrição no nÃvel de -dispersão da variável de contagem. Perceba que esse é um conjunto de -dados extremamente superdisperso, os pontos, que representam em médias e -variâncias em cada combinação de dias de após a primeira avaliação e -cultivares de soja, estão todos acima da reta identidade (equidispersão) -com variâncias em torno de 1.000 vezes maiores que as respectivas -médias. - -<<descr-ninfas, fig.height=4, fig.width=8, fig.cap="(Esquerda)">>= +Mosca-branca, foram avaliadas plantas de quatro diferentes cultivares de +soja, \Sexpr{niveis.cult}, contabilizando o número de ninfas de +mosca-branca nos folÃolos dos terços superior, médio e inferior das +plantas em seis datas, \Sexpr{niveis.data} dentre os 38 dias de estudo +. O experimento foi conduzido em casa de vegetação sob o delineamento de +blocos casualizados para controle de variação local \cite{Suekane2011}. + +Na figura \ref{fig:descr-ninfas} a esquerda, apresentamos as contagens +da praga para cada cultivar em cada uma das datas de avaliação, +representadas pelos dias decorridos após a primeira avaliação, em +11/12/09. Note que as contagens são muito altas e dispersas, +principalmente nas quatro primeiras avaliações. A direita temos uma +descrição no nÃvel de dispersão da variável de contagem. Perceba que +esse é um conjunto de dados extremamente superdisperso, os pontos, que +representam em médias e variâncias em cada combinação de dias de após a +primeira avaliação e cultivares de soja, estão todos acima da reta +identidade (equidispersão) com variâncias em torno de 1.000 vezes +maiores que as respectivas médias. + +<<descr-ninfas, fig.height=4, fig.width=8, fig.cap="(Esquerda) Dispersão entre o número total de ninfas de Mosca-branca nos folÃolos da soja e o número de dias após a primeira avaliação para as quatro diferentes cultivares. (Direita) Relação entre as médias e as variâncias amostrais do número de ninfas nesse experimento.">>= xy1 <- xyplot(ntot ~ dias | cult, data = whiteFly, @@ -421,28 +440,28 @@ data(fish, package = "tccPackage") @ -Esse, diferentemente dos demais, é um estudo observavional feito por -biólogos que tem intresse em modelar o número de peixes capturados por +Diferentemente dos demais, esse é um estudo observavional feito por +biólogos com intresse em modelar o número de peixes capturados por grupos de pescadores visitantes em um Parque Estadual \textbf{citar o - livro do J. Scott Long}. Nesse estudo tem-se como informações a -respeito dos grupos de visitantes o número de pessoas e de crianças no -grupo e se há ou não a presença de campista. Um fato interesse deste -dado é que nem todos os grupos de visitantes praticaram pescaria e -portanto o número de peixes capturado será zero. - -Na figura \ref{fig:descr-fish} também pode-se notar ser evidente a -presença excessiva de contagens zero. No gráfico a esquerda apresentamos -a disposição das contagens, transformadas por $\log(y_i|x_i + 0,5)$, e é -caracterÃstica marcante no gráfico a grande quantidade de pontos -dispostos no primeiro valor do eixo $y$, \Sexpr{log(0.5)} = -$\log(0.5)$. Embora seja um gráfico marginal, não considerando as -covariáveis de cada contagem, a direita temos um histograma da variável -resposta onde percebe-se novamente a grande quantidade de valores nulos, -ao todo \Sexpr{with(fish, sum(npeixes == 0)/length(npeixes))*100}\% dos -dados são contagens nulas. Portanto nesse problema claramente modelos + repositório da UCLA}. Nesse estudo tem-se como informações a respeito +dos grupos de visitantes, o número de pessoas e de crianças no grupo e +se há ou não a presença de campista. Um fato interesse deste dado é que +nem todos os grupos de visitantes praticaram pescaria, portanto, nesses +grupos o número de peixes capturado será zero. + +Na figura \ref{fig:descr-fish} pode-se notar o evidente excesso de +contagens zero. No gráfico a esquerda apresentamos a disposição das +contagens, transformadas por $\log(y_i|x_i + 0,5)$. É caracterÃstica +marcante no gráfico a grande quantidade de pontos dispostos no primeiro +valor do eixo $y$, \Sexpr{log(0.5)} = $\log(0.5)$. Embora seja um +gráfico marginal, não considerando as covariáveis de cada contagem, a +direita temos um histograma da variável resposta onde percebe-se +novamente a grande quantidade de valores nulos, ao todo +\Sexpr{with(fish, sum(npeixes == 0)/length(npeixes))*100}\% dos dados +são contagens nulas. Portanto nesse problema, claramente modelos alternativos que acomodem excesso de zeros se fazem necessários. -<<descr-fish, fig.height=3.5, fig.width=7.5, fig.cap="(Esquerda) LogarÃtmo neperiano do Número de peixes capturados acrescido de 0,5 para as diferentes formulações dos grupos. (Direita) Histograma da variável de contagem número de peixes capturados por grupo.">>= +<<descr-fish, fig.height=3.5, fig.width=7.5, fig.cap="(Esquerda) LogarÃtmo neperiano do número de peixes capturados acrescido de 0,5 para as diferentes composições dos grupos. (Direita) Histograma do número de peixes capturados por grupo.">>= xy1 <- xyplot(log(npeixes+0.5) ~ npessoas | campista, groups = ncriancas, data = fish, @@ -477,7 +496,7 @@ suppressWarnings({ @ -\subsubsection{Número de Nematóides em RaÃzes de Feijoeiro} +\subsubsection{Número de nematóides em raÃzes de feijoeiro} \label{sec:nematodes} <<data-nematodes, include=FALSE, echo=FALSE>>= @@ -486,18 +505,20 @@ data(nematodes, package = "tccPackage") @ -Este último conjunto de dados explorado no trabalho, são resultados de -um experimento em casa de vegetação que estudou a reprodução de -nematóides em cultivares/linhagens de feijoeiro. O solo dos vasos foi -inicialmente contaminado com namatóides e as parcelas tiveram duas -plantas. Ao final do experimento, as raÃzes das duas plantas por parcela -foram lavadas, trituradas, peneiradas e diluÃdas e as contagens dos -nematóides realizadas em alÃquotas dessa solução. Perceba que temos, -incidindo sobre a contagem a quantidade de raÃzes produzidas por parcela -e ainda o volume usado para diluir essa quantidade, pois as contagens -são realizades em alÃquotas da solução composta pela razão entre massa +Esse último conjunto de dados explorado no trabalho, é resultado de um +experimento em casa de vegetação que estudou a reprodução de nematóides +em cultivares de feijoeiro. No experimento, o solo de vasos com duas +plantas de feijão foi inicialmente contaminado com nematóides. Ao final +do experimento, as raÃzes das duas plantas por vaso foram lavadas, +trituradas, peneiradas e diluÃdas e as contagens dos nematóides +realizadas em alÃquotas dessa solução. Perceba que temos, incidindo +sobre a contagem a quantidade de raÃzes produzidas por parcela e ainda o +volume usado para diluir essa quantidade, pois as contagens são +realizades em alÃquotas da solução composta pela razão entre massa fresca de raÃzes (em gramas) e volume utilizado para diluição (em -milimetros). +milimetros)\footnote{Cedido para fins acadêmicos por Andressa Cristina + Zamboni Machado, pesquisadora do Instituto Agronômico do Paraná + (IAPAR), e pelo técnico agrÃcola do IAPAR Santino Aleandro da Silva}. <<descr-nematodes, fig.height=4, fig.width=4, fig.show="hide", results="asis", fig.cap="Dispersão do número de nematóides em uma alÃquota de 1ml provida pela solução de 1 g/ml de massa fresca diluÃda.">>= @@ -548,7 +569,7 @@ O \textit{software} R, versão \Sexpr{with(R.version, paste0(major, ".", quanto para ajuste dos modelos e apresentação de resultados. Pacotes auxiliares utilizados no trabalho são: \texttt{MASS} (versão \Sexpr{packageVersion("MASS")}) para ajuste e inferências dos modelos -Binomial Negativo,\texttt{bbmle} (versão +Binomial Negativo, \texttt{bbmle} (versão \Sexpr{packageVersion("bbmle")}) para estimação via máxima verossimilhança das funções implementadas para o modelo COM-Poisson , \texttt{pscl} (versão \Sexpr{packageVersion("pscl")}) para ajuste dos @@ -559,10 +580,10 @@ efeitos aleatórios normais. Para apresentação gráfica dos resultados os pacotes \texttt{lattice} (versão \Sexpr{packageVersion("lattice")}), \texttt{latticeExtra} (versão \Sexpr{packageVersion("latticeExtra")}) e \texttt{corrplot} (versão \Sexpr{packageVersion("corrplot")}) são -intensivamente utilizados e finalmente para elaboração do relatório, +exaustivamente utilizados. Finalmente, para elaboração do relatório, mesclando códigos em R e escrita na liguagem de marcação \LaTeX{}, o pacote \texttt{knitr} (versão \Sexpr{packageVersion("knitr")}) é -requisitado. +requerido. Destaca-se nesse trabalho que todas as funções implementadas para ajuste e inferência dos modelos de regressão COM-Poisson estão disponÃveis, em diff --git a/docs/compois.bib b/docs/compois.bib index 245dafe..bd0049c 100644 --- a/docs/compois.bib +++ b/docs/compois.bib @@ -1,3 +1,42 @@ +@phdthesis{Suekane2011, +author = {Suekane, Renato}, +file = {:home/eduardo/Documents/Mendeley Desktop/Disserta{\c{c}}{\~{a}}o Renato Suekane.pdf:pdf}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +school = {Universidade Federal da Grande Dourados}, +title = {{DISTRIBUI{\c{C}}{\~{A}}O ESPACIAL E DANO DE MOSCA-BRANCA Bemisia tabaci (GENNADIUS, 1889) BI{\'{O}}TIPO B NA SOJA}}, +year = {2011} +} +@article{Serafim2012, +abstract = {Os solos tropicais, normalmente pobres em pot{\'{a}}ssio (K), quando cultivados com soja Glycine max L.) demandam aduba{\c{c}}{\~{a}}o pot{\'{a}}ssica para obten{\c{c}}{\~{a}}o de produtividades satisfat{\'{o}}rias. Objetivou-se com este trabalho avaliar o efeito de doses de K e n{\'{i}}veis de umidade do solo nos componentes de produ{\c{c}}{\~{a}}o da soja. O experimento foi realizado em casa de vegeta{\c{c}}{\~{a}}o e os tratamentos foram dispostos em um delineamento em blocos casualizados em esquema fatorial (5 x 3), com cinco repeti{\c{c}}{\~{o}}es. Um vaso com 5 dm 3 de solo com duas plantas comp{\^{o}}s a parcela experimental. O primeiro fator correspondeu {\`{a}}s doses de K (0; 30; 60; 120 e 180 mg dm -3 e o segundo fator as faixas de umidade do solo (35 a 40; 47,5 a 52,5; e 60 a 65{\%} do volume total de poros). Foram avaliados: rendimento de gr{\~{a}}os, peso de cem gr{\~{a}}os, n{\'{u}}mero total de gr{\~{a}}os por vaso, teor de K no gr{\~{a}}o, n{\'{u}}mero de vagens vi{\'{a}}veis. Houve resposta da soja {\`{a}} aduba{\c{c}}{\~{a}}o pot{\'{a}}ssica, com aumento do rendimento de gr{\~{a}}os, massa de cem gr{\~{a}}os, teor de K no gr{\~{a}}o e n{\'{u}}mero de vagens vi{\'{a}}veis. O total de gr{\~{a}}os por vaso atingiu valor m{\'{a}}ximo na combina{\c{c}}{\~{a}}o dos limites superiores de cada fator de estudo. O K reduziu os efeitos do d{\'{e}}fice h{\'{i}}drico na cultura da soja.}, +author = {Serafim, Milson Evaldo and Ono, F{\'{a}}bio Benedito and Zeviani, Walmes Marques and Novelino, Jos{\'{e}} Oscar and Silva, Joil Vilhalva}, +doi = {10.1590/S1806-66902012000200003}, +file = {:home/eduardo/Documents/Mendeley Desktop/a03v43n2.pdf:pdf}, +issn = {1806-6690}, +journal = {Revista Ci{\^{e}}ncia Agron{\^{o}}mica}, +keywords = {Glycine max,Potassium,Soil-humidity}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +month = {jun}, +number = {2}, +pages = {222--227}, +title = {{Umidade do solo e doses de pot{\'{a}}ssio na cultura da soja}}, +url = {http://www.scielo.br/scielo.php?script=sci{\_}arttext{\&}pid=S1806-66902012000200003{\&}lng=pt{\&}nrm=iso{\&}tlng=en}, +volume = {43}, +year = {2012} +} +@article{Silva2012, +author = {Silva, A. M. and Degrande, P. E. and Suekane, R. and Fernandes, M. G. and Zeviani, W. M.}, +file = {:home/eduardo/Documents/Mendeley Desktop/v35n1a16.pdf:pdf}, +issn = {0871-018X}, +journal = {Revista de Ci{\^{e}}ncias Agr{\'{a}}rias}, +keywords = {bolls,cotton,crop growth stage,crop yield,defoliation,leaf area,phenology,productivity,yield losses}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +number = {1}, +pages = {163--172}, +title = {{Impacto de diferentes n{\'{i}}veis de desfolha artificial nos est{\'{a}}dios fenol{\'{o}}gicos do algodoeiro}}, +url = {http://www.cabdirect.org/abstracts/20123299470.html;jsessionid=CF06663390A3A4463413D3018ECAACD6}, +volume = {35}, +year = {2012} +} @article{Bates2015, abstract = {lme4: Mixed-effects modeling with R}, author = {Bates, Douglas M and Maechler, Martin and Bolker, Ben and Walker, Steve}, @@ -12,37 +51,20 @@ url = {http://lme4.r-forge.r-project.org/lMMwR/lrgprt.pdf}, volume = {67}, year = {2015} } -@phdthesis{Borges2012, -author = {Borges, Patrick}, -file = {:home/eduardo/Documents/Mendeley Desktop/4552.pdf:pdf}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -school = {Universidade Federal de S{\~{a}}o Carlos}, -title = {{Novos modelos de sobreviv{\^{e}}ncia com fra{\c{c}}{\~{a}}o de cura baseados no processo da carcinog{\^{e}}nese}}, -year = {2012} -} -@article{Conway1962, -author = {Conway, Richard W and Maxwell, William L}, -journal = {Journal of Industrial Engineering}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -pages = {132----136}, -title = {{A queuing model with state dependent service rates}}, -volume = {12}, -year = {1962} -} -@book{Hilbe2014, -abstract = {This entry-level text offers clear and concise guidelines on how to select, construct, interpret and evaluate count data. Written for researchers with little or no background in advanced statistics, the book presents treatments of all major models using numerous tables, insets, and detailed modeling suggestions. It begins by demonstrating the fundamentals of linear regression and works up to an analysis of the Poisson and negative binomial models, and to the problem of overdispersion. Examples in Stata, R, and SAS code enable readers to adapt models for their own purposes, making the text an ideal resource for researchers working in public health, ecology, econometrics, transportation, and other related fields.}, -author = {Hilbe, Joseph M.}, -booktitle = {Statistical Science}, -doi = {10.1017/CBO9781139236065}, -file = {:home/eduardo/Documents/Mendeley Desktop/Hilbe - 2014 - Modeling Count Data.pdf:pdf}, -isbn = {ISBN 978-1-107-02833-3}, -issn = {1467-9280}, +@article{Lambert1992, +author = {Lambert, Diane}, +doi = {10.2307/1269547}, +file = {:home/eduardo/Documents/Mendeley Desktop/lambert1992.pdf:pdf}, +issn = {00401706}, +journal = {Technometrics}, mendeley-groups = {TCC{\_}UFPR{\_}2015}, -pages = {300}, -pmid = {25052830}, -title = {{Modeling Count Data}}, -volume = {25}, -year = {2014} +month = {feb}, +number = {1}, +pages = {1}, +title = {{Zero-Inflated Poisson Regression, with an Application to Defects in Manufacturing}}, +url = {http://www.jstor.org/stable/1269547?origin=crossref}, +volume = {34}, +year = {1992} } @article{King1989, abstract = {This paper discusses the problem of variance specification in models for event count data. Event counts are dependent variables that can take on only nonnegative integer values, such as the number of wars or coups d'etat in a year. I discuss several generalizations of the Poisson regression model, presented in King (1988), to allow for substantively interesting stochastic processes that do not fit into the Poisson framework. Individual models that cope with, and help analyze, heterogeneity, contagion, and negative contagion are each shown to lead to specific statistical models for event count data. In addition, I derive a new generalized event count (GEC) model that enables researchers to extract significant amounts of new information from existing data by estimating features of these unobserved substantive processes. Applications of this model to congressional challenges of presidential vetoes and superpower conflict demonstrate the dramatic advantages of this approach.}, @@ -71,98 +93,6 @@ title = {{Over- and Underdisperson Models}}, url = {https://lmb.univ-fcomte.fr/IMG/pdf/ch30{\_}kokonendji2014.pdf}, year = {2014} } -@article{Lambert1992, -author = {Lambert, Diane}, -doi = {10.2307/1269547}, -file = {:home/eduardo/Documents/Mendeley Desktop/lambert1992.pdf:pdf}, -issn = {00401706}, -journal = {Technometrics}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -month = {feb}, -number = {1}, -pages = {1}, -title = {{Zero-Inflated Poisson Regression, with an Application to Defects in Manufacturing}}, -url = {http://www.jstor.org/stable/1269547?origin=crossref}, -volume = {34}, -year = {1992} -} -@article{Lord2010, -abstract = {The objective of this article is to evaluate the performance of the COM-Poisson GLM for analyzing crash data exhibiting underdispersion (when conditional on the mean). The COM-Poisson distribution, originally developed in 1962, has recently been reintroduced by statisticians for analyzing count data subjected to either over- or underdispersion. Over the last year, the COM-Poisson GLM has been evaluated in the context of crash data analysis and it has been shown that the model performs as well as the Poisson-gamma model for crash data exhibiting overdispersion. To accomplish the objective of this study, several COM-Poisson models were estimated using crash data collected at 162 railway-highway crossings in South Korea between 1998 and 2002. This data set has been shown to exhibit underdispersion when models linking crash data to various explanatory variables are estimated. The modeling results were compared to those produced from the Poisson and gamma probability models documented in a previous published study. The results of this research show that the COM-Poisson GLM can handle crash data when the modeling output shows signs of underdispersion. Finally, they also show that the model proposed in this study provides better statistical performance than the gamma probability and the traditional Poisson models, at least for this data set.}, -author = {Lord, Dominique and Geedipally, Srinivas Reddy and Guikema, Seth D.}, -doi = {10.1111/j.1539-6924.2010.01417.x}, -file = {:home/eduardo/Documents/Mendeley Desktop/Lord, Geedipally, Guikema - 2010 - Extension of the application of conway-maxwell-poisson models Analyzing traffic crash data exhibiting.pdf:pdf}, -isbn = {1539-6924 (Electronic) 0272-4332 (Linking)}, -issn = {02724332}, -journal = {Risk Analysis}, -keywords = {Com-poisson,Conway-Maxwell-Poisson,gamma models,negative binomial models,regression models,underdispersion}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -mendeley-tags = {Com-poisson}, -number = {8}, -pages = {1268--1276}, -pmid = {20412518}, -title = {{Extension of the application of conway-maxwell-poisson models: Analyzing traffic crash data exhibiting underdispersion}}, -volume = {30}, -year = {2010} -} -@article{Nelder1972, -author = {Nelder, John Ashworth and Wedderburn, Robert William Maclagan}, -file = {:home/eduardo/Documents/Mendeley Desktop/Nelder, Wedderburn - 1972 - Generalized Linear Models.pdf:pdf}, -journal = {Journal of the Royal Statistical Society. Series A (General)}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -pages = {370--384}, -title = {{Generalized Linear Models}}, -volume = {135}, -year = {1972} -} -@article{Park2009, -abstract = {Developing sound or reliable statistical models for analyzing motor vehicle crashes is very important in highway safety studies. However, a significant difficulty associated with the model development is related to the fact that crash data often exhibit over-dispersion. Sources of dispersion can be varied and are usually unknown to the transportation analysts. These sources could potentially affect the development of negative binomial (NB) regression models, which are often the model of choice in highway safety. To help in this endeavor, this paper documents an alternative formulation that could be used for capturing heterogeneity in crash count models through the use of finite mixture regression models. The finite mixtures of Poisson or NB regression models are especially useful where count data were drawn from heterogeneous populations. These models can help determine sub-populations or groups in the data among others. To evaluate these models, Poisson and NB mixture models were estimated using data collected in Toronto, Ontario. These models were compared to standard NB regression model estimated using the same data. The results of this study show that the dataset seemed to be generated from two distinct sub-populations, each having different regression coefficients and degrees of over-dispersion. Although over-dispersion in crash data can be dealt with in a variety of ways, the mixture model can help provide the nature of the over-dispersion in the data. It is therefore recommended that transportation safety analysts use this type of model before the traditional NB model, especially when the data are suspected to belong to different groups.}, -author = {Park, Byung-Jung and Lord, Dominique}, -doi = {10.1016/j.aap.2009.03.007}, -file = {:home/eduardo/Documents/Mendeley Desktop/Park, Lord - 2009 - Application of finite mixture models for vehicle crash data analysis.pdf:pdf;:home/eduardo/Documents/Mendeley Desktop/Park, Lord - 2009 - Application of finite mixture models for vehicle crash data analysis(2).pdf:pdf}, -issn = {1879-2057}, -journal = {Accident; analysis and prevention}, -keywords = {Com-poisson}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -mendeley-tags = {Com-poisson}, -number = {4}, -pages = {683--691}, -pmid = {19540956}, -title = {{Application of finite mixture models for vehicle crash data analysis.}}, -volume = {41}, -year = {2009} -} -@book{Paula2013, -abstract = {A {\'{a}}rea de modelagem estat{\'{i}}stica de regress{\~{a}}o recebeu um grande impulso desde a cria{\c{c}}{\~{a}}o dos modelos lineares generalizados (MLGs) no in{\'{i}}cio da d{\'{e}}- cada de 70. O crescente interesse pela {\'{a}}rea motivou a realiza{\c{c}}{\~{a}}o de v{\'{a}}rios encontros informais no in{\'{i}}cio dos anos 80, a maioria deles na Inglaterra, at{\'{e}} que em 1986 foi realizado na cidade de Innsbruck na {\'{A}}ustria o “1st Internati- onalWorkshop on Statistical Modellingâ€(1st IWSM). Esse encontro tem sido realizado anualmente sendo que o {\'{u}}ltimo (25th IWSM) aconteceu em julho de 2010 na Universidade de Glasgow, Esc{\'{o}}cia. O 26th IWSM ser{\'{a}} realizado em julho de 2011 em Val{\^{e}}ncia, Espanha. No Brasil a {\'{a}}rea come{\c{c}}ou efetiva- mente a se desenvolver a partir de meados da d{\'{e}}cada de 80 e em particular ap{\'{o}}s a 1a Escola de Modelos de Regress{\~{a}}o (1EMR) realizada na Universi- dade de S{\~{a}}o Paulo em 1989. As demais escolas ocorreram desde ent{\~{a}}o a cada dois anos sendo que a {\'{u}}ltima (11EMR) foi realizada em mar{\c{c}}o de 2009 na cidade de Recife, PE. A 12EMR ser{\'{a}} realizada em mar{\c{c}}o de 2011 na cidade de Fortaleza, CE.}, -author = {Paula, Gilberto Alvarenga}, -file = {:home/eduardo/Documents/Mendeley Desktop/Paula - 2013 - Modelos de regress{\~{a}}o com apoio computacional.pdf:pdf}, -keywords = {GLM,Regress{\~{a}}o}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -mendeley-tags = {GLM,Regress{\~{a}}o}, -publisher = {IME-USP S{\~{a}}o Paulo}, -title = {{Modelos de regress{\~{a}}o com apoio computacional}}, -url = {https://www.ime.usp.br/{~}giapaula/textoregressao.htm}, -year = {2013} -} -@inproceedings{RibeiroJr2012, -author = {{Ribeiro Jr}, Paulo Justiniano and Bonat, Wagner Hugo and Krainski, Elias Teixeira and Zeviani, Walmes Marques}, -booktitle = {20{\textordmasculine} Simp{\'{o}}sio Nacional de Probabilidade e Estat{\'{i}}stica}, -file = {:home/eduardo/Documents/Mendeley Desktop/Ribeiro Jr et al. - 2012 - M{\'{e}}todos computacionais para infer{\^{e}}ncia com aplica{\c{c}}{\~{o}}es em R.pdf:pdf}, -keywords = {Infer{\^{e}}ncia,M{\'{e}}todos Computacionais,Verossimilhan{\c{c}}a}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -mendeley-tags = {Infer{\^{e}}ncia,M{\'{e}}todos Computacionais,Verossimilhan{\c{c}}a}, -pages = {282}, -title = {{M{\'{e}}todos computacionais para infer{\^{e}}ncia com aplica{\c{c}}{\~{o}}es em R}}, -url = {http://leg.ufpr.br/doku.php/cursos:mcie}, -year = {2012} -} -@phdthesis{Ribeiro2012, -author = {Ribeiro, Ang{\'{e}}lica Maria Tortola}, -file = {:home/eduardo/Documents/Mendeley Desktop/4336.pdf:pdf}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -school = {Universidade Federal de S{\~{a}}o Carlos}, -title = {{Distribui{\c{c}}{\~{a}}o COM-Poisson na an{\'{a}}lise de dados de experimentos de quimiopreven{\c{c}}{\~{a}}o do c{\^{a}}ncer em animais}}, -year = {2012} -} @article{Ridout1998, abstract = {We consider the problem of modelling count data with excess zeros and review some possible models. Aspects of model tting and inference are considered. An example from horticultural research is used for illustration.}, author = {Ridout, Martin and Demetrio, Clarice G.B and Hinde, John}, @@ -192,56 +122,20 @@ url = {http://dx.doi.org/10.1016/j.csda.2016.01.007 http://linkinghub.elsevier.c volume = {99}, year = {2016} } -@article{Sellers2010, -abstract = {Poisson regression is a popular tool for modeling count data and is applied in a vast array of applications from the social to the physical sciences and beyond. Real data, however, are often over- or under-dispersed and, thus, not conducive to Poisson regression. We propose a regression model based on the Conway--Maxwell-Poisson (COM-Poisson) distribution to address this problem. The COM-Poisson regression generalizes the well-known Poisson and logistic regression models, and is suitable for fitting count data with a wide range of dispersion levels. With a GLM approach that takes advantage of exponential family properties, we discuss model estimation, inference, diagnostics, and interpretation, and present a test for determining the need for a COM-Poisson regression over a standard Poisson regression. We compare the COM-Poisson to several alternatives and illustrate its advantages and usefulness using three data sets with varying dispersion.}, -annote = {Refer{\^{e}}ncia para COMPoissonReg package}, -archivePrefix = {arXiv}, -arxivId = {1011.2077}, -author = {Sellers, Kimberly F. and Shmueli, Galit}, -doi = {10.1214/09-AOAS306}, -eprint = {1011.2077}, -file = {:home/eduardo/Documents/Mendeley Desktop/Sellers, Shmueli - 2010 - A flexible regression model for count data.pdf:pdf;:home/eduardo/Documents/Mendeley Desktop/Sellers, Shmueli - 2010 - A flexible regression model for count data(2).pdf:pdf}, -issn = {19326157}, -journal = {Annals of Applied Statistics}, -keywords = {Com-poisson,Conway-Maxwell-Poisson (COM-Poisson) distribution,Dispersion,Generalized Poisson,Generalized linear models (GLM)}, -mendeley-groups = {TCC{\_}UFPR{\_}2015}, -mendeley-tags = {Com-poisson}, -number = {2}, -pages = {943--961}, -title = {{A flexible regression model for count data}}, -volume = {4}, -year = {2010} -} -@article{Shmueli2005, -abstract = {A useful discrete distribution (the Conway2013Maxwell2013Poisson distribution) is revived and its statistical and probabilistic properties are introduced and explored. This distribution is a two-parameter extension of the Poisson distribution that generalizes some well-known discrete distributions (Poisson, Bernoulli and geometric). It also leads to the generalization of distributions derived from these discrete distributions (i.e. the binomial and negative binomial distributions). We describe three methods for estimating the parameters of the Conway2013Maxwell2013Poisson distribution. The first is a fast simple weighted least squares method, which leads to estimates that are sufficiently accurate for practical purposes. The second method, using maximum likelihood, can be used to refine the initial estimates. This method requires iterations and is more computationally intensive. The third estimation method is Bayesian. Using the conjugate prior, the posterior density of the parameters of the Conway2013Maxwell2013Poisson distribution is easily computed. It is a flexible distribution that can account for overdispersion or underdispersion that is commonly encountered in count data. We also explore two sets of real world data demonstrating the flexibility and elegance of the Conway2013Maxwell2013Poisson distribution in fitting count data which do not seem to follow the Poisson distribution.}, -annote = {Refer{\^{e}}ncia para compoisson package}, -author = {Shmueli, Galit and Minka, Thomas P. and Kadane, Joseph B. and Borle, Sharad and Boatwright, Peter}, -doi = {10.1111/j.1467-9876.2005.00474.x}, -file = {:home/eduardo/Documents/Mendeley Desktop/Shmueli et al. - 2005 - A useful distribution for fitting discrete data Revival of the Conway-Maxwell-Poisson distribution.pdf:pdf}, -isbn = {1467-9876}, -issn = {00359254}, -journal = {Journal of the Royal Statistical Society. Series C: Applied Statistics}, -keywords = {Com-poisson,Conjugate family,Conway-Maxwell-Poisson distribution,Estimation,Exponential family,Overdispersion,Underdispersion}, +@phdthesis{Borges2012, +author = {Borges, Patrick}, +file = {:home/eduardo/Documents/Mendeley Desktop/4552.pdf:pdf}, mendeley-groups = {TCC{\_}UFPR{\_}2015}, -mendeley-tags = {Com-poisson}, -number = {1}, -pages = {127--142}, -title = {{A useful distribution for fitting discrete data: Revival of the Conway-Maxwell-Poisson distribution}}, -volume = {54}, -year = {2005} +school = {Universidade Federal de S{\~{a}}o Carlos}, +title = {{Novos modelos de sobreviv{\^{e}}ncia com fra{\c{c}}{\~{a}}o de cura baseados no processo da carcinog{\^{e}}nese}}, +year = {2012} } -@article{Silva2012, -author = {Silva, A. M. and Degrande, P. E. and Suekane, R. and Fernandes, M. G. and Zeviani, W. M.}, -file = {:home/eduardo/Documents/Mendeley Desktop/v35n1a16.pdf:pdf}, -issn = {0871-018X}, -journal = {Revista de Ci{\^{e}}ncias Agr{\'{a}}rias}, -keywords = {bolls,cotton,crop growth stage,crop yield,defoliation,leaf area,phenology,productivity,yield losses}, +@phdthesis{Ribeiro2012, +author = {Ribeiro, Ang{\'{e}}lica Maria Tortola}, +file = {:home/eduardo/Documents/Mendeley Desktop/4336.pdf:pdf}, mendeley-groups = {TCC{\_}UFPR{\_}2015}, -number = {1}, -pages = {163--172}, -title = {{Impacto de diferentes n{\'{i}}veis de desfolha artificial nos est{\'{a}}dios fenol{\'{o}}gicos do algodoeiro}}, -url = {http://www.cabdirect.org/abstracts/20123299470.html;jsessionid=CF06663390A3A4463413D3018ECAACD6}, -volume = {35}, +school = {Universidade Federal de S{\~{a}}o Carlos}, +title = {{Distribui{\c{c}}{\~{a}}o COM-Poisson na an{\'{a}}lise de dados de experimentos de quimiopreven{\c{c}}{\~{a}}o do c{\^{a}}ncer em animais}}, year = {2012} } @article{Wedderburn1974, @@ -291,6 +185,21 @@ url = {http://www.tandfonline.com/doi/abs/10.1080/07350015.1995.10524620}, volume = {13}, year = {1995} } +@book{Hilbe2014, +abstract = {This entry-level text offers clear and concise guidelines on how to select, construct, interpret and evaluate count data. Written for researchers with little or no background in advanced statistics, the book presents treatments of all major models using numerous tables, insets, and detailed modeling suggestions. It begins by demonstrating the fundamentals of linear regression and works up to an analysis of the Poisson and negative binomial models, and to the problem of overdispersion. Examples in Stata, R, and SAS code enable readers to adapt models for their own purposes, making the text an ideal resource for researchers working in public health, ecology, econometrics, transportation, and other related fields.}, +author = {Hilbe, Joseph M.}, +booktitle = {Statistical Science}, +doi = {10.1017/CBO9781139236065}, +file = {:home/eduardo/Documents/Mendeley Desktop/Hilbe - 2014 - Modeling Count Data.pdf:pdf}, +isbn = {ISBN 978-1-107-02833-3}, +issn = {1467-9280}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +pages = {300}, +pmid = {25052830}, +title = {{Modeling Count Data}}, +volume = {25}, +year = {2014} +} @book{Winkelmann2008, address = {Berlin, Heidelberg}, author = {Winkelmann, Rainer}, @@ -323,6 +232,54 @@ url = {http://www.ncbi.nlm.nih.gov/pubmed/21518631}, volume = {27}, year = {2007} } +@article{Nelder1972, +author = {Nelder, John Ashworth and Wedderburn, Robert William Maclagan}, +file = {:home/eduardo/Documents/Mendeley Desktop/Nelder, Wedderburn - 1972 - Generalized Linear Models.pdf:pdf}, +journal = {Journal of the Royal Statistical Society. Series A (General)}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +pages = {370--384}, +title = {{Generalized Linear Models}}, +volume = {135}, +year = {1972} +} +@article{Conway1962, +author = {Conway, Richard W and Maxwell, William L}, +journal = {Journal of Industrial Engineering}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +pages = {132----136}, +title = {{A queuing model with state dependent service rates}}, +volume = {12}, +year = {1962} +} +@inproceedings{RibeiroJr2012, +author = {{Ribeiro Jr}, Paulo Justiniano and Bonat, Wagner Hugo and Krainski, Elias Teixeira and Zeviani, Walmes Marques}, +booktitle = {20{\textordmasculine} Simp{\'{o}}sio Nacional de Probabilidade e Estat{\'{i}}stica}, +file = {:home/eduardo/Documents/Mendeley Desktop/Ribeiro Jr et al. - 2012 - M{\'{e}}todos computacionais para infer{\^{e}}ncia com aplica{\c{c}}{\~{o}}es em R.pdf:pdf}, +keywords = {Infer{\^{e}}ncia,M{\'{e}}todos Computacionais,Verossimilhan{\c{c}}a}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +mendeley-tags = {Infer{\^{e}}ncia,M{\'{e}}todos Computacionais,Verossimilhan{\c{c}}a}, +pages = {282}, +title = {{M{\'{e}}todos computacionais para infer{\^{e}}ncia com aplica{\c{c}}{\~{o}}es em R}}, +url = {http://leg.ufpr.br/doku.php/cursos:mcie}, +year = {2012} +} +@article{Park2009, +abstract = {Developing sound or reliable statistical models for analyzing motor vehicle crashes is very important in highway safety studies. However, a significant difficulty associated with the model development is related to the fact that crash data often exhibit over-dispersion. Sources of dispersion can be varied and are usually unknown to the transportation analysts. These sources could potentially affect the development of negative binomial (NB) regression models, which are often the model of choice in highway safety. To help in this endeavor, this paper documents an alternative formulation that could be used for capturing heterogeneity in crash count models through the use of finite mixture regression models. The finite mixtures of Poisson or NB regression models are especially useful where count data were drawn from heterogeneous populations. These models can help determine sub-populations or groups in the data among others. To evaluate these models, Poisson and NB mixture models were estimated using data collected in Toronto, Ontario. These models were compared to standard NB regression model estimated using the same data. The results of this study show that the dataset seemed to be generated from two distinct sub-populations, each having different regression coefficients and degrees of over-dispersion. Although over-dispersion in crash data can be dealt with in a variety of ways, the mixture model can help provide the nature of the over-dispersion in the data. It is therefore recommended that transportation safety analysts use this type of model before the traditional NB model, especially when the data are suspected to belong to different groups.}, +author = {Park, Byung-Jung and Lord, Dominique}, +doi = {10.1016/j.aap.2009.03.007}, +file = {:home/eduardo/Documents/Mendeley Desktop/Park, Lord - 2009 - Application of finite mixture models for vehicle crash data analysis.pdf:pdf;:home/eduardo/Documents/Mendeley Desktop/Park, Lord - 2009 - Application of finite mixture models for vehicle crash data analysis(2).pdf:pdf}, +issn = {1879-2057}, +journal = {Accident; analysis and prevention}, +keywords = {Com-poisson}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +mendeley-tags = {Com-poisson}, +number = {4}, +pages = {683--691}, +pmid = {19540956}, +title = {{Application of finite mixture models for vehicle crash data analysis.}}, +volume = {41}, +year = {2009} +} @article{Zeviani2014, abstract = {Event counts are response variables with non-negative integer values representing the number of times that an event occurs within a fixed domain such as a time interval, a geographical area or a cell of a contingency table. Analysis of counts by Gaussian regression models ignores the discreteness, asymmetry and heteroscedasticity and is inefficient, providing unrealistic standard errors or possibly negative predictions of the expected number of events. The Poisson regression is the standard model for count data with underlying assumptions on the generating process which may be implausible in many applications. Statisticians have long recognized the limitation of imposing equidispersion under the Poisson regression model. A typical situation is when the conditional variance exceeds the conditional mean, in which case models allowing for overdispersion are routinely used. Less reported is the case of underdispersion with fewer modeling alternatives and assessments available in the literature. One of such alternatives, the Gamma-count model, is adopted here in the analysis of an agronomic experiment designed to investigate the effect of levels of defoliation on different phenological states upon the number of cotton bolls. Data set and code for analysis are available as online supplements. Results show improvements over the Poisson model and the semi-parametric quasi-Poisson model in capturing the observed variability in the data. Estimating rather than assuming the underlying variance process leads to important insights into the process. Event counts are response variables with non-negative integer values representing the number of times that an event occurs within a fixed domain such as a time interval, a geographical area or a cell of a contingency table. Analysis of counts by Gaussian regression models ignores the discreteness, asymmetry and heteroscedasticity and is inefficient, providing unrealistic standard errors or possibly negative predictions of the expected number of events. The Poisson regression is the standard model for count data with underlying assumptions on the generating process which may be implausible in many applications. Statisticians have long recognized the limitation of imposing equidispersion under the Poisson regression model. A typical situation is when the conditional variance exceeds the conditional mean, in which case models allowing for overdispersion are routinely used. Less reported is the case of underdispersion with fewer modeling alternatives and assessments available in the literature. One of such alternatives, the Gamma-count model, is adopted here in the analysis of an agronomic experiment designed to investigate the effect of levels of defoliation on different phenological states upon the number of cotton bolls. Data set and code for analysis are available as online supplements. Results show improvements over the Poisson model and the semi-parametric quasi-Poisson model in capturing the observed variability in the data. Estimating rather than assuming the underlying variance process leads to important insights into the process.}, author = {Zeviani, Walmes Marques and {Ribeiro Jr}, Paulo Justiniano and Bonat, Wagner Hugo and Shimakura, Silvia Emiko and Muniz, Joel Augusto}, @@ -337,3 +294,71 @@ title = {{The Gamma-count distribution in the analysis of experimental underdisp url = {http://dx.doi.org/10.1080/02664763.2014.922168}, year = {2014} } +@article{Lord2010, +abstract = {The objective of this article is to evaluate the performance of the COM-Poisson GLM for analyzing crash data exhibiting underdispersion (when conditional on the mean). The COM-Poisson distribution, originally developed in 1962, has recently been reintroduced by statisticians for analyzing count data subjected to either over- or underdispersion. Over the last year, the COM-Poisson GLM has been evaluated in the context of crash data analysis and it has been shown that the model performs as well as the Poisson-gamma model for crash data exhibiting overdispersion. To accomplish the objective of this study, several COM-Poisson models were estimated using crash data collected at 162 railway-highway crossings in South Korea between 1998 and 2002. This data set has been shown to exhibit underdispersion when models linking crash data to various explanatory variables are estimated. The modeling results were compared to those produced from the Poisson and gamma probability models documented in a previous published study. The results of this research show that the COM-Poisson GLM can handle crash data when the modeling output shows signs of underdispersion. Finally, they also show that the model proposed in this study provides better statistical performance than the gamma probability and the traditional Poisson models, at least for this data set.}, +author = {Lord, Dominique and Geedipally, Srinivas Reddy and Guikema, Seth D.}, +doi = {10.1111/j.1539-6924.2010.01417.x}, +file = {:home/eduardo/Documents/Mendeley Desktop/Lord, Geedipally, Guikema - 2010 - Extension of the application of conway-maxwell-poisson models Analyzing traffic crash data exhibiting.pdf:pdf}, +isbn = {1539-6924 (Electronic) 0272-4332 (Linking)}, +issn = {02724332}, +journal = {Risk Analysis}, +keywords = {Com-poisson,Conway-Maxwell-Poisson,gamma models,negative binomial models,regression models,underdispersion}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +mendeley-tags = {Com-poisson}, +number = {8}, +pages = {1268--1276}, +pmid = {20412518}, +title = {{Extension of the application of conway-maxwell-poisson models: Analyzing traffic crash data exhibiting underdispersion}}, +volume = {30}, +year = {2010} +} +@book{Paula2013, +abstract = {A {\'{a}}rea de modelagem estat{\'{i}}stica de regress{\~{a}}o recebeu um grande impulso desde a cria{\c{c}}{\~{a}}o dos modelos lineares generalizados (MLGs) no in{\'{i}}cio da d{\'{e}}- cada de 70. O crescente interesse pela {\'{a}}rea motivou a realiza{\c{c}}{\~{a}}o de v{\'{a}}rios encontros informais no in{\'{i}}cio dos anos 80, a maioria deles na Inglaterra, at{\'{e}} que em 1986 foi realizado na cidade de Innsbruck na {\'{A}}ustria o “1st Internati- onalWorkshop on Statistical Modellingâ€(1st IWSM). Esse encontro tem sido realizado anualmente sendo que o {\'{u}}ltimo (25th IWSM) aconteceu em julho de 2010 na Universidade de Glasgow, Esc{\'{o}}cia. O 26th IWSM ser{\'{a}} realizado em julho de 2011 em Val{\^{e}}ncia, Espanha. No Brasil a {\'{a}}rea come{\c{c}}ou efetiva- mente a se desenvolver a partir de meados da d{\'{e}}cada de 80 e em particular ap{\'{o}}s a 1a Escola de Modelos de Regress{\~{a}}o (1EMR) realizada na Universi- dade de S{\~{a}}o Paulo em 1989. As demais escolas ocorreram desde ent{\~{a}}o a cada dois anos sendo que a {\'{u}}ltima (11EMR) foi realizada em mar{\c{c}}o de 2009 na cidade de Recife, PE. A 12EMR ser{\'{a}} realizada em mar{\c{c}}o de 2011 na cidade de Fortaleza, CE.}, +author = {Paula, Gilberto Alvarenga}, +file = {:home/eduardo/Documents/Mendeley Desktop/Paula - 2013 - Modelos de regress{\~{a}}o com apoio computacional.pdf:pdf}, +keywords = {GLM,Regress{\~{a}}o}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +mendeley-tags = {GLM,Regress{\~{a}}o}, +publisher = {IME-USP S{\~{a}}o Paulo}, +title = {{Modelos de regress{\~{a}}o com apoio computacional}}, +url = {https://www.ime.usp.br/{~}giapaula/textoregressao.htm}, +year = {2013} +} +@article{Shmueli2005, +abstract = {A useful discrete distribution (the Conway2013Maxwell2013Poisson distribution) is revived and its statistical and probabilistic properties are introduced and explored. This distribution is a two-parameter extension of the Poisson distribution that generalizes some well-known discrete distributions (Poisson, Bernoulli and geometric). It also leads to the generalization of distributions derived from these discrete distributions (i.e. the binomial and negative binomial distributions). We describe three methods for estimating the parameters of the Conway2013Maxwell2013Poisson distribution. The first is a fast simple weighted least squares method, which leads to estimates that are sufficiently accurate for practical purposes. The second method, using maximum likelihood, can be used to refine the initial estimates. This method requires iterations and is more computationally intensive. The third estimation method is Bayesian. Using the conjugate prior, the posterior density of the parameters of the Conway2013Maxwell2013Poisson distribution is easily computed. It is a flexible distribution that can account for overdispersion or underdispersion that is commonly encountered in count data. We also explore two sets of real world data demonstrating the flexibility and elegance of the Conway2013Maxwell2013Poisson distribution in fitting count data which do not seem to follow the Poisson distribution.}, +annote = {Refer{\^{e}}ncia para compoisson package}, +author = {Shmueli, Galit and Minka, Thomas P. and Kadane, Joseph B. and Borle, Sharad and Boatwright, Peter}, +doi = {10.1111/j.1467-9876.2005.00474.x}, +file = {:home/eduardo/Documents/Mendeley Desktop/Shmueli et al. - 2005 - A useful distribution for fitting discrete data Revival of the Conway-Maxwell-Poisson distribution.pdf:pdf}, +isbn = {1467-9876}, +issn = {00359254}, +journal = {Journal of the Royal Statistical Society. Series C: Applied Statistics}, +keywords = {Com-poisson,Conjugate family,Conway-Maxwell-Poisson distribution,Estimation,Exponential family,Overdispersion,Underdispersion}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +mendeley-tags = {Com-poisson}, +number = {1}, +pages = {127--142}, +title = {{A useful distribution for fitting discrete data: Revival of the Conway-Maxwell-Poisson distribution}}, +volume = {54}, +year = {2005} +} +@article{Sellers2010, +abstract = {Poisson regression is a popular tool for modeling count data and is applied in a vast array of applications from the social to the physical sciences and beyond. Real data, however, are often over- or under-dispersed and, thus, not conducive to Poisson regression. We propose a regression model based on the Conway--Maxwell-Poisson (COM-Poisson) distribution to address this problem. The COM-Poisson regression generalizes the well-known Poisson and logistic regression models, and is suitable for fitting count data with a wide range of dispersion levels. With a GLM approach that takes advantage of exponential family properties, we discuss model estimation, inference, diagnostics, and interpretation, and present a test for determining the need for a COM-Poisson regression over a standard Poisson regression. We compare the COM-Poisson to several alternatives and illustrate its advantages and usefulness using three data sets with varying dispersion.}, +annote = {Refer{\^{e}}ncia para COMPoissonReg package}, +archivePrefix = {arXiv}, +arxivId = {1011.2077}, +author = {Sellers, Kimberly F. and Shmueli, Galit}, +doi = {10.1214/09-AOAS306}, +eprint = {1011.2077}, +file = {:home/eduardo/Documents/Mendeley Desktop/Sellers, Shmueli - 2010 - A flexible regression model for count data.pdf:pdf;:home/eduardo/Documents/Mendeley Desktop/Sellers, Shmueli - 2010 - A flexible regression model for count data(2).pdf:pdf}, +issn = {19326157}, +journal = {Annals of Applied Statistics}, +keywords = {Com-poisson,Conway-Maxwell-Poisson (COM-Poisson) distribution,Dispersion,Generalized Poisson,Generalized linear models (GLM)}, +mendeley-groups = {TCC{\_}UFPR{\_}2015}, +mendeley-tags = {Com-poisson}, +number = {2}, +pages = {943--961}, +title = {{A flexible regression model for count data}}, +volume = {4}, +year = {2010} +} -- GitLab