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1

Moscote, Orlando, and William Rincón. "El modelo lineal de probabilidad y el modelo logit, un ejemplo aplicado." Comunicaciones en Estadística 5, no. 2 (2013): 123. http://dx.doi.org/10.15332/s2027-3355.2012.0002.01.

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<p class="p1">Los modelos de regresi´on con respuesta cualitativa son modelos en los cuales la variable dependiente puede ser de naturaleza cualitativa, mientras que las variables independientes pueden ser cualitativas o cuantitativas o una mezcla de las dos, por ejemplo si se est´a estudiando la relación entre ingresos y el poseer o no una vivienda, la respuesta solo puede tomar dos valores (si posee una vivienda o no la posee), la variable independiente puede ser los ingresos familiares, el estrato social de esa familia y la cantidad de personas en el hogar, entre otras. Los modelos de
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Bustamante Ubilla, Miguel, María Lapo Maza, Michelle Tello Sánchez, and Laura Vera. "El rol del ocio en la calidad de vida de los adultos mayores de la provincia del Guayas, Ecuador." Empresarial 13, no. 2 (2020): 36–43. http://dx.doi.org/10.23878/empr.v13i2.164.

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Este trabajo analiza la relación que tienen las variables demográficas, situación económica actual y durante la niñez, satisfacción general con la vida y ocio con la calidad de vida y felicidad de los adultos mayores de la provincia del Guayas, Ecuador. Se entrevistó adultos mayores de ambos sexos, de 60 años o más que residen en zonas urbanas y rurales de la provincia de Guayas, Ecuador y se planteó un modelo logit ordinal de ocio y familia sobre satisfacción con la vida. Resultando que la familia es fuente de felicidad y tienen una mayor probabilidad de satisfacción con la vida y que el ocio
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Vergel-Ortega, Mawency, Henry de Jesús Gallardo-Pérez, and Reinaldo Portal-Domingo. "Las tecnologías de la información y las comunicaciones en el fortalecimiento del pensamiento físico matemático." Aibi revista de investigación, administración e ingeniería 8, S1 (2021): 83–89. http://dx.doi.org/10.15649/2346030x.945.

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El objetivo de la investigación fue asociar el uso de las tecnologías de la información y las comunicaciones, concernientes al ejercicio de la labor de un grupo de estudiantes pertenecientes a universidades públicas, ubicadas en el Departamento Norte de Santander con el desarrollo del pensamiento, y las condiciones psicosociales, económicas, sociodemográficas. En esta investigación con enfoque multimétodo, se aplican instrumentos para identificar herramientas tecnológicas implementadas por 101 profesores, determinar el desarrollo de pensamiento, conocer las condiciones sociodemográficos y psic
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Ortiz Chávez, Miguel Ángel, Nuria Yanella Rodríguez Córdova, and Carlos Armando Rojas Quiroz. "Desajuste ocupacional de los egresados universitarios:." Revista Peruana de Investigación Educativa 12, no. 13 (2020): 7–37. http://dx.doi.org/10.34236/rpie.v12i13.92.

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El objetivo de esta investigación es explicar el desajuste ocupacional de los recién egresados universitarios de carreras de Ciencias, Ingeniería, Matemáticas y Tecnología (CIMTEC) mediante el uso de la Encuesta Nacional de Egresados Universitarios y Universidades 2014. Teniendo en cuenta el grado de severidad, se distinguieron dos tipos de desajuste: desajuste leve y desajuste grave. En términos generales, el desajuste ocupacional llegó a representar al 60.7 por ciento de los recién egresados universitarios, siendo mayor en los trabajadores CIMTEC. Sin embargo, la mayor parte de ellos se enco
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Carvalho, Vitor, Pedro Tiago Esteves, Célia Nunes, César Mendez, and Bruno Travassos. "A influência de variáveis contextuais e situacionais na classificação de árbitros de futebol de elite." Cuadernos de Psicología del Deporte 21, no. 1 (2021): 216–24. http://dx.doi.org/10.6018/cpd.435081.

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Objetivo: Este estudo teve como objetivo avaliar a relação entre a classificação de árbitros de futebol de elite e variáveis contextuais e situacionais que caraterizam os jogos arbitrados no decorrer de uma época. Para tal, foi realizada uma regressão ordinal com função Link Logit entre a classificação final e variáveis contextuais e situacionais. As variáveis contextuais revelaram um efeito significativo sobre a classificação final, não se verificando efeitos significativos das variáveis situacionais, sobre a classificação dos árbitros no final da época desportiva. Na gl
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6

Jensen, Ronald. "Inner Models and Large Cardinals." Bulletin of Symbolic Logic 1, no. 4 (1995): 393–407. http://dx.doi.org/10.2307/421129.

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In this paper, we sketch the development of two important themes of modern set theory, both of which can be regarded as growing out of work of Kurt Gödel. We begin with a review of some basic concepts and conventions of set theory. §0. The ordinal numbers were Georg Cantor's deepest contribution to mathematics. After the natural numbers 0, 1, …, n, … comes the first infinite ordinal number ω, followed by ω + 1, ω + 2, …, ω + ω, … and so forth. ω is the first limit ordinal as it is neither 0 nor a successor ordinal. We follow the von Neumann convention, according to which each ordinal number α
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7

Mathias, A. R. D. "Slim models of Zermelo set theory." Journal of Symbolic Logic 66, no. 2 (2001): 487–96. http://dx.doi.org/10.2307/2695026.

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AbstractWorking in Z + KP, we give a new proof that the class of hereditarily finite sets cannot be proved to be a set in Zermelo set theory, extend the method to establish other failures of replacement, and exhibit a formula Φ(λ, a) such that for any sequence ⟨Aλ ∣ λ a limit ordinal⟩ where for each λ. Aλ ⊆ λ2, there is a supertransitive inner model of Zermelo containing all ordinals in which for every λAλ = {a ∣ Φ(λ, a)}.
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8

Enayat, Ali. "Conservative extensions of models of set theory and generalizations." Journal of Symbolic Logic 51, no. 4 (1986): 1005–21. http://dx.doi.org/10.2307/2273912.

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An attempt to answer the following question gave rise to the results of the present paper. Let be an arbitrary model of set theory. Does there exist an elementary extension of satisfying the two requirements: (1) contains an ordinal exceeding all the ordinals of ; (2) does not enlarge any (hyper) integer of ? Note that a trivial application of the ordinary compactness theorem produces a model satisfying condition (1); and an internal ultrapower modulo an internal ultrafilter produces a model satisfying condition (2) (but not (1), because of the axiom of replacement). Also, such a satisfying bo
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9

Arfan, Muhammad, and Rehan Ahmad Khan Sherwani. "Ordinal Logit and Multilevel Ordinal Logit Models: An Application on Wealth Index MICS-Survey Data." Pakistan Journal of Statistics and Operation Research 13, no. 1 (2017): 211. http://dx.doi.org/10.18187/pjsor.v13i1.1801.

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10

Yin, Chang Ming, Fang Fang Li, and Lian Ju Su. "Strong Consistency of Maximum Likelihood Estimators in Compound-Sequential Logit Model." Applied Mechanics and Materials 742 (March 2015): 429–32. http://dx.doi.org/10.4028/www.scientific.net/amm.742.429.

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Compound-sequential logit models are extensions of the ordinary logistic regression model, which are designed for complex ordinal outcomes commonly seen in practice. In this paper, we prove strong consistency of the maximum likelihood estimator (MLE) of the regression parameter vector under some mild conditions. We relax the boundedness condition of the regressors required in most existing theoretical results, and all conditions are easy to verify.
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Fullerton, Andrew S., and Jun Xu. "Constrained and Unconstrained Partial Adjacent Category Logit Models for Ordinal Response Variables." Sociological Methods & Research 47, no. 2 (2015): 169–206. http://dx.doi.org/10.1177/0049124115613781.

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Adjacent category logit models are ordered regression models that focus on comparisons of adjacent categories. These models are particularly useful for ordinal response variables with categories that are of substantive interest. In this article, we consider unconstrained and constrained versions of the partial adjacent category logit model, which is an extension of the traditional model that relaxes the proportional odds assumption for a subset of independent variables. In the unconstrained partial model, the variables without proportional odds have coefficients that freely vary across cutpoin
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12

Greenberg, Noam. "The Role of True Finiteness in the Admissible Recursively Enumerable Degrees." Bulletin of Symbolic Logic 11, no. 3 (2005): 398–410. http://dx.doi.org/10.2178/bsl/1122038994.

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AbstractWhen attempting to generalize recursion theory to admissible ordinals, it may seem as if all classical priority constructions can be lifted to any admissible ordinal satisfying a sufficiently strong fragment of the replacement scheme. We show, however, that this is not always the case. In fact, there are some constructions which make an essential use of the notion of finiteness which cannot be replaced by the generalized notion of α-finiteness. As examples we discuss both codings of models of arithmetic into the recursively enumerable degrees, and non-distributive lattice embeddings in
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13

Williams, Richard. "Generalized Ordered Logit/Partial Proportional Odds Models for Ordinal Dependent Variables." Stata Journal: Promoting communications on statistics and Stata 6, no. 1 (2006): 58–82. http://dx.doi.org/10.1177/1536867x0600600104.

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14

Schimmerling, E., and W. H. Woodin. "The Jensen Covering Property." Journal of Symbolic Logic 66, no. 4 (2001): 1505–23. http://dx.doi.org/10.2307/2694959.

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The Jensen covering lemma says that either L has a club class of indiscernibles, or else, for every uncountable set A of ordinals, there is a set B ∈ L with A ⊆ B and card (B) = card(A). One might hope to extend Jensen's covering lemma to richer core models, which for us will mean to inner models of the form L[] where is a coherent sequence of extenders of the kind studied in Mitchell-Steel [8], The papers [8], [12], [10] and [1] show how to construct core models with Woodin cardinals and more. But, as Prikry forcing shows, one cannot expect too direct a generalization of Jensen's covering lem
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15

Ananda, Baiq Dewi Kusuma, Zulmi Insani, Baiq Rika Ayu Febrilia, and Dwi Utami Setyawati. "ANALISIS REGRESI LOGISTIK ORDINAL MENGENAI FAKTOR-FAKTOR YANG MEMPENGARUHI TINGKAT PENDIKAN ANAK DI DESA SAYANG-SAYANG." Journal of Fundamental Mathematics and Applications (JFMA) 3, no. 2 (2020): 124–32. http://dx.doi.org/10.14710/jfma.v3i2.7811.

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The economic condition of the parents and their level of education are the determining factors for the level of education of the children. The purpose of this study was to analyze the factors affecting the level of education of children (socioeconomic status of parents and parents' latest education). The subjects in this study were 100 people of Sayang-Sayang Village who were determined by simple random sampling technique. Data collection was carried out online using a survey sheet or questionnaire developed with the help of Google Form. The method in analyzing this causal relationship uses or
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16

Enayat, Ali. "Models of set theory with definable ordinals." Archive for Mathematical Logic 44, no. 3 (2004): 363–85. http://dx.doi.org/10.1007/s00153-004-0256-9.

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17

Baldwin, John T., Alexei Kolesnikov, and Saharon Shelah. "The amalgamation spectrum." Journal of Symbolic Logic 74, no. 3 (2009): 914–28. http://dx.doi.org/10.2178/jsl/1245158091.

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AbstractWe study when classes can have the disjoint amalgamation property for a proper initial segment of cardinals.For every natural number k, there is a class Kk, defined by a sentence in Lω1,ω that has no models of cardinality greater than ℶk + 1, but Kk has the disjoint amalgamation property on models of cardinality less than or equal to ℵk − 3 and has models of cardinality ℵk − 1.More strongly, we can have disjoint amalgamation up to ℵ∝ for ∝ < ω1, but have a bound on size of models.For every countable ordinal ∝, there is a class K∝ defined by a sentence in Lω1,ω that has no models of
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18

Welch, Philip. "The reals in core models." Journal of Symbolic Logic 52, no. 1 (1987): 64–67. http://dx.doi.org/10.2307/2273862.

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AbstractWe set = ‹, ≤L, # ›, where is the set of degrees of nonconstructibility for countable sets of countable ordinals. We show how to define inductively over this structure the degrees of such sets of ordinals in Κ, the core model, and the next few core models thereafter, i.e. without reference to mice, premice or measurable cardinals
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19

Avigad, Jeremy, and Richard Sommer. "A Model-Theoretic Approach to Ordinal Analysis." Bulletin of Symbolic Logic 3, no. 1 (1997): 17–52. http://dx.doi.org/10.2307/421195.

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AbstractWe describe a model-theoretic approach to ordinal analysis via the finite combinatorial notion of an α-large set of natural numbers. In contrast to syntactic approaches that use cut elimination, this approach involves constructing finite sets of numbers with combinatorial properties that, in nonstandard instances, give rise to models of the theory being analyzed. This method is applied to obtain ordinal analyses of a number of interesting subsystems of first- and second-order arithmetic.
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20

Brabant, Quentin, and Miguel Couceiro. "k -maxitive Sugeno integrals as aggregation models for ordinal preferences." Fuzzy Sets and Systems 343 (July 2018): 65–75. http://dx.doi.org/10.1016/j.fss.2017.06.005.

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21

Fernández-Duque, David, and Joost J. Joosten. "Models of transfinite provability logic." Journal of Symbolic Logic 78, no. 2 (2013): 543–61. http://dx.doi.org/10.2178/jsl.7802110.

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AbstractFor any ordinal Λ, we can define a polymodal logic GLPΛ, with a modality [ξ] for each ξ < Λ. These represent provability predicates of increasing strength. Although GLPΛ has no Kripke models, Ignatiev showed that indeed one can construct a Kripke model of the variable-free fragment with natural number modalities, denoted . Later, Icard defined a topological model for which is very closely related to Ignatiev's.In this paper we show how to extend these constructions for arbitrary Λ. More generally, for each Θ, Λ we build a Kripke model and a topological model , and show that is sound
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22

Breen, Richard, Kristian Bernt Karlson, and Anders Holm. "Interpreting and Understanding Logits, Probits, and Other Nonlinear Probability Models." Annual Review of Sociology 44, no. 1 (2018): 39–54. http://dx.doi.org/10.1146/annurev-soc-073117-041429.

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Methods textbooks in sociology and other social sciences routinely recommend the use of the logit or probit model when an outcome variable is binary, an ordered logit or ordered probit when it is ordinal, and a multinomial logit when it has more than two categories. But these methodological guidelines take little or no account of a body of work that, over the past 30 years, has pointed to problematic aspects of these nonlinear probability models and, particularly, to difficulties in interpreting their parameters. In this review, we draw on that literature to explain the problems, show how they
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Zheng, Xiaohui, and Sophia Rabe-Hesketh. "Estimating Parameters of Dichotomous and Ordinal Item Response Models with Gllamm." Stata Journal: Promoting communications on statistics and Stata 7, no. 3 (2007): 313–33. http://dx.doi.org/10.1177/1536867x0700700302.

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Item response theory models are measurement models for categorical responses. Traditionally, the models are used in educational testing, where responses to test items can be viewed as indirect measures of latent ability. The test items are scored either dichotomously (correct–incorrect) or by using an ordinal scale (a grade from poor to excellent). Item response models also apply equally for measurement of other latent traits. Here we describe the one- and two-parameter logit models for dichotomous items, the partial-credit and rating scale models for ordinal items, and an extension of these m
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Fujisawa, Kengo, and Kouji Tahata. "ASYMMETRY MODELS BASED ON LOGIT TRANSFORMATIONS FOR SQUARE CONTINGENCY TABLES WITH ORDINAL CATEGORIES." Journal of the Japanese Society of Computational Statistics 30, no. 2 (2018): 55–64. http://dx.doi.org/10.5183/jjscs.1706002_235.

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Uzquiano, Gabriel. "Models of Second-Order Zermelo Set Theory." Bulletin of Symbolic Logic 5, no. 3 (1999): 289–302. http://dx.doi.org/10.2307/421182.

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In [12], Ernst Zermelo described a succession of models for the axioms of set theory as initial segments of a cumulative hierarchy of levels UαVα. The recursive definition of the Vα's is:Thus, a little reflection on the axioms of Zermelo-Fraenkel set theory (ZF) shows that Vω, the first transfinite level of the hierarchy, is a model of all the axioms of ZF with the exception of the axiom of infinity. And, in general, one finds that if κ is a strongly inaccessible ordinal, then Vκ is a model of all of the axioms of ZF. (For all these models, we take ∈ to be the standard element-set relation res
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Wawrzyniak, Katarzyna, and Barbara Batóg. "INTERSECTORAL COMPARISON OF RATES OF RETURN ON WARSAW STOCK EXCHANGE BY MEANS OF ORDINAL LOGIT MODELS." Zeszyty Naukowe Uniwersytetu Szczecińskiego Finanse Rynki Finansowe Ubezpieczenia 86 (2017): 251–62. http://dx.doi.org/10.18276/frfu.2017.86-21.

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Ali, Sabz, Amjad Ali, Sajjad Ahmad Khan, and Sundas Hussain. "Sufficient Sample Size and Power in Multilevel Ordinal Logistic Regression Models." Computational and Mathematical Methods in Medicine 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/7329158.

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For most of the time, biomedical researchers have been dealing with ordinal outcome variable in multilevel models where patients are nested in doctors. We can justifiably apply multilevel cumulative logit model, where the outcome variable represents the mild, severe, and extremely severe intensity of diseases like malaria and typhoid in the form of ordered categories. Based on our simulation conditions, Maximum Likelihood (ML) method is better than Penalized Quasilikelihood (PQL) method in three-category ordinal outcome variable. PQL method, however, performs equally well as ML method where fi
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Ramos, Thiago Graça, Alessandro Martins Alves, Marco Antônio Farah Caldas, João Carlos Soares de Mello, and Eliane Ribeiro Pereira. "Um modelo híbrido incorporando preferências declaradas e envoltória de dados aplicado ao transporte de cargas no Brasil." Journal of Transport Literature 10, no. 1 (2016): 10–14. http://dx.doi.org/10.1590/2238-1031.jtl.v10n1a2.

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ResumoO presente trabalho visa identificar empresas que são eficientes em termos de transporte de carga no seu dia-a-dia e verificar os aspectos importantes na hora da tomada de decisão para a contratação do serviço de transporte de carga. Para fazer essa avaliação serão utilizadas diversas técnicas como a Analise Envoltória de Dados, a parte de preferência declarada e modelo logito ordinal. Por meio do uso da técnica do DEA, as eficiências serão classificadas em alta, média e baixa e esta classificação será a variável dependente do modelo logito ordinal e as variáveis independentes deste mode
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Hyttinen, Tapani, and Jouko Väänänen. "On Scott and Karp trees of uncountable models." Journal of Symbolic Logic 55, no. 3 (1990): 897–908. http://dx.doi.org/10.2307/2274463.

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AbstractLet and be two countable relational models of the same first order language. If the models are nonisomorphic, there is a unique countable ordinal α with the property thati.e. and are L∞ω-equivalent up to quantifier-rank α but not up to α + 1. In this paper we consider models and of cardinality ω1 and construct trees which have a similar relation to and as a above. For this purpose we introduce a new ordering T ≪ T′ of trees, which may have some independent interest of its own. It turns out that the above ordinal α has two qualities which coincide in countable models but will differ in
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Lunn, David J., Jon Wakefield, and Amy Racine-Poon. "Cumulative logit models for ordinal data: a case study involving allergic rhinitis severity scores." Statistics in Medicine 20, no. 15 (2001): 2261–85. http://dx.doi.org/10.1002/sim.922.

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Mitchell, Michael N., and Xiao Chen. "Visualizing Main Effects and Interactions for Binary Logit Models." Stata Journal: Promoting communications on statistics and Stata 5, no. 1 (2005): 64–82. http://dx.doi.org/10.1177/1536867x0500500111.

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This paper considers the role of covariates when using predicted probabilities to interpret main effects and interactions in logit models. While predicted probabilities are very intuitive for interpreting main effects and interactions, the pattern of results depends on the contribution of covariates. We introduce a concept called the covariate contribution, which reflects the aggregate contribution of all of the remaining predictors (covariates) in the model and a family of tools to help visualize the relationship between predictors and the predicted probabilities across a variety of covariate
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Flum, Jörg, and Juan Carlos Martinez. "On topological spaces equivalent to ordinals." Journal of Symbolic Logic 53, no. 3 (1988): 785–95. http://dx.doi.org/10.2307/2274571.

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AbstractLet L be one of the topological languages Lt, (L∞ω)t and (Lκω)t. We characterize the topological spaces which are models of the L-theory of the class of ordinals equipped with the order topology. The results show that the role played in classical model theory by the property of being well-ordered is taken over in the topological context by the property of being locally compact and scattered.
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Hvattum, L. M. "Ordinal versus nominal regression models and the problem of correctly predicting draws in soccer." International Journal of Computer Science in Sport 16, no. 1 (2017): 50–64. http://dx.doi.org/10.1515/ijcss-2017-0004.

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AbstractOrdinal regression models are frequently used in academic literature to model outcomes of soccer matches, and seem to be preferred over nominal models. One reason is that, obviously, there is a natural hierarchy of outcomes, with victory being preferred to a draw and a draw being preferred to a loss. However, the often used ordinal models have an assumption of proportional odds: the influence of an independent variable on the log odds is the same for each outcome. This paper illustrates how ordinal regression models therefore fail to fully utilize independent variables that contain inf
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Iban, Marius, and Diah Indriani. "Regression Analysis of Ordinal Logit and Probit Models to Predict the Factors Affecting Low Birth Weight." Jurnal Biometrika dan Kependudukan 8, no. 1 (2019): 62. http://dx.doi.org/10.20473/jbk.v8i1.2019.58-66.

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Low birth weight (LBW) has greater risk for experiencing problems. Based on Indonesian DHS data in 2012, the province with the highest infant mortality rate estimate was West Papua amounting to 75 per 1,000 live births. This study used logit and probit regression models to analyze the factors that caused low birth weight. It is thought that by comparing both logit and probit models, the best results could be obtained. The results of research showed that the independent variables that affected babies with LBW were the distance of pregnancy and maternal parity. If the distance of pregnancy was l
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Iban, Marius, and Diah Indriani. "Regression Analysis of Ordinal Logit and Probit Models to Predict the Factors Affecting Low Birth Weight." Jurnal Biometrika dan Kependudukan 8, no. 1 (2019): 62. http://dx.doi.org/10.20473/jbk.v8i1.2019.62-71.

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Low birth weight (LBW) has greater risk for experiencing problems. Based on Indonesian DHS data in 2012, the province with the highest infant mortality rate estimate was West Papua amounting to 75 per 1,000 live births. This study used logit and probit regression models to analyze the factors that caused low birth weight. It is thought that by comparing both logit and probit models, the best results could be obtained. The results of research showed that the independent variables that affected babies with LBW were the distance of pregnancy and maternal parity. If the distance of pregnancy was l
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DEMRI, STÉPHANE, and DAVID NOWAK. "REASONING ABOUT TRANSFINITE SEQUENCES." International Journal of Foundations of Computer Science 18, no. 01 (2007): 87–112. http://dx.doi.org/10.1142/s0129054107004589.

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We introduce a family of temporal logics to specify the behavior of systems with Zeno behaviors. We extend linear-time temporal logic LTL to authorize models admitting Zeno sequences of actions and quantitative temporal operators indexed by ordinals replace the standard next-time and until future-time operators. Our aim is to control such systems by designing controllers that safely work on ω-sequences but interact synchronously with the system in order to restrict their behaviors. We show that the satisfiability and model-checking for the logics working on ωk-sequences is EXPSPACE-complete wh
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Anderson, John Edwin. "Real estate ownership and life satisfaction in transition countries." Journal of European Real Estate Research 12, no. 3 (2019): 345–64. http://dx.doi.org/10.1108/jerer-01-2019-0001.

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Purpose The purpose of this study is to test the hypothesis that real estate ownership contributes to life satisfaction in transition countries. Design/methodology/approach Life in Transition survey data are used to model reported life satisfaction using ordinary least squares, ordered probit, generalized ordered logit and bivariate probit models. The hypothesis tested is whether real estate ownership is associated with greater reported life satisfaction. Findings Empirical results from the variety of empirical models estimated strongly support the hypothesis that real estate ownership is asso
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FUCHS, GUNTER, and RALF SCHINDLER. "INNER MODEL THEORETIC GEOLOGY." Journal of Symbolic Logic 81, no. 3 (2016): 972–96. http://dx.doi.org/10.1017/jsl.2015.64.

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AbstractOne of the basic concepts of set theoretic geology is the mantle of a model of set theory V: it is the intersection of all grounds of V, that is, of all inner models M of V such that V is a set-forcing extension of M. The main theme of the present paper is to identify situations in which the mantle turns out to be a fine structural extender model. The first main result is that this is the case when the universe is constructible from a set and there is an inner model with a Woodin cardinal. The second situation like that arises if L[E] is an extender model that is iterable in V but not
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39

Jones, Albin L. "A polarized partition relation using elementary substructures." Journal of Symbolic Logic 65, no. 4 (2000): 1491–98. http://dx.doi.org/10.2307/2695060.

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AbstractWorking in ZFC, we show that for any infinite cardinal k and ordinal y < (2<k)+ the polarized partition relationholds. Our proof of this relation involves the use of elementary substructures of set models of large fragments of ZFC.
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40

Newelski, Ludomir. "A model and its subset." Journal of Symbolic Logic 57, no. 2 (1992): 644–58. http://dx.doi.org/10.2307/2275297.

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AbstractWe try to count the number of countable models M of T with a fixed set Q = Φ(M) of realizations of a type Φ. Also, for stable T, we define an ordinal rank measuring multiplicity of types, with additivity properties similar to those of U-rank.
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41

Ferber, Kyle, and Kellie J. Archer. "Modeling Discrete Survival Time Using Genomic Feature Data." Cancer Informatics 14s2 (January 2015): CIN.S17275. http://dx.doi.org/10.4137/cin.s17275.

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Researchers have recently shown that penalized models perform well when applied to high-throughput genomic data. Previous researchers introduced the generalized monotone incremental forward stagewise (GMIFS) method for fitting overparameterized logistic regression models. The GMIFS method was subsequently extended by others for fitting several different logit link ordinal response models to high-throughput genomic data. In this study, we further extended the GMIFS method for ordinal response modeling using a complementary log-log link, which allows one to model discrete survival data. We appli
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42

Villaveces, Andrés. "Heights of models of ZFC and the existence of end elementary extensions II." Journal of Symbolic Logic 64, no. 3 (1999): 1111–24. http://dx.doi.org/10.2307/2586621.

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AbstractThe existence of End Elementary Extensions of modelsM of ZFC is related to the ordinal height of M, according to classical results due to Keisler, Morley and Silver. In this paper, we further investigate the connection between the height of M and the existence of End Elementary Extensions of M. In particular, we prove that the theory ‘ZFC + GCH + there exist measurable cardinals + all inaccessible non weakly compact cardinals are possible heights of models with no End Elementary Extensions’ is consistent relative to the theory ‘ZFC + GCH + there exist measurable cardinals + the weakly
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43

Marcja, Annalisa, and Carlo Toffalori. "On Cantor-Bendixson spectra containing (1,1). II." Journal of Symbolic Logic 50, no. 3 (1985): 611–18. http://dx.doi.org/10.2307/2274317.

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Let T be a (countable, complete, quantifier eliminable) ω-stable theory; an analysis of T, and consequently a classification of ω-stable theories, can be done by looking at the Boolean algebras B(M) of definable subsets of its countable models M (as usual, we often confuse a definable subset of M with the class of formulas defining it). If M ⊨ T, ∣M∣ = ℵ0, then, for every LM-formula ϕ(v) and for every ordinal α, we define a relation(CB = Cantor-Bendixson, of course) by induction on α:CB-rank ϕ(v) ≥ 0 if ϕ(M) ≠ ∅CB-rank ϕ(v) ≥ λ for λ a limit ordinal, if CB-rank ϕ(v) ≥ for all v < λ;CB-rank
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44

Neeman, Itay. "Determinacy for games ending at the first admissible relative to the play." Journal of Symbolic Logic 71, no. 2 (2006): 425–59. http://dx.doi.org/10.2178/jsl/1146620151.

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AbstractLet o(k) denote the Mitchell order of k. We show how to reduce long games which run to the first ordinal admissible in the play, to iteration games on models with a cardinal k so that (1) k is a limit of Woodin cardinals: and (2) o(k) = k++. We use the reduction to derive several optimal determinacy results on games which run to the first admissible in the play.
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45

Shelah, Saharon. "Model theory without choice? Categoricity." Journal of Symbolic Logic 74, no. 2 (2009): 361–401. http://dx.doi.org/10.2178/jsl/1243948319.

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AbstractWe prove Los conjecture = Morley theorem in ZF. with the same characterization, i.e., of first order countable theories categorical in ℵα for some (eqiuvalently for every ordinal) α > 0. Another central result here in this context is: the number of models of a countable first order T of cardinality ℵα is either ≥ ∣α∣ for every α or it has a small upper bound (independent of α close to ⊐2).
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46

KOOI, BARTELD, and BRYAN RENNE. "ARROW UPDATE LOGIC." Review of Symbolic Logic 4, no. 4 (2011): 536–59. http://dx.doi.org/10.1017/s1755020311000189.

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We presentArrow Update Logic, a theory of epistemic access elimination that can be used to reason about multi-agent belief change. While the belief-changing “arrow updates” of Arrow Update Logic can be transformed into equivalent belief-changing “action models” from the popular Dynamic Epistemic Logic approach, we prove that arrow updates are sometimes exponentially more succinct than action models. Further, since many examples of belief change are naturally thought of from Arrow Update Logic’s perspective of eliminating access to epistemic possibilities, Arrow Update Logic is a valuable addit
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47

Baldwin, J., and S. Shelah. "Abstract classes with few models have ‘homogeneous-universal’ models." Journal of Symbolic Logic 60, no. 1 (1995): 246–65. http://dx.doi.org/10.2307/2275520.

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This paper is concerned with a class K of models and an abstract notion of submodel ≤. Experience in first order model theory has shown the desirability of finding a ‘monster model’ to serve as a universal domain for K. In the original constructions of Jónsson and Fraïssé, K was a universal class and ordinary substructure played the role of ≤. Working with a cardinal λ satisfying λ<λ = λ guarantees appropriate downward Löwenheim-Skolem theorems; the existence and uniqueness of a homogeneous-universal model appears to depend centrally on the amalgamation property. We make this apparent depen
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48

Jones, Albin L. "A polarized partition relation for weakly compact cardinals using elementary substructures." Journal of Symbolic Logic 71, no. 4 (2006): 1342–52. http://dx.doi.org/10.2178/jsl/1164060459.

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AbstractWe show that if κ is a weakly compact cardinal, thenfor any ordinals α < κ+ and μ < κ, and any finite ordinals m and n. This polarized partition relation represents the statement that for any partitionof κ × κ+ into m + μ pieces either there are A ∈ [κ]κ, B ∈ [κ]+]α and i < m with A × B ⊆ Ki or there are C ∈ [κ]κ, , and j < μ with C × D ⊆ Lj. Related results for measurable and almost measurable κ are also investigated. Our proofs of these relations involve the use of elementary substructures of set models of large fragments of ZFC.
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49

Forster, Thomas. "Permutations and wellfoundedness: the true meaning of the bizarre arithmetic of Quine's NF." Journal of Symbolic Logic 71, no. 1 (2006): 227–40. http://dx.doi.org/10.2178/jsl/1140641171.

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AbstractIt is shown that, according to NF, many of the assertions of ordinal arithmetic involving the T-function which is peculiar to NF turn out to be equivalent to the truth-in-certain-permutation-models of assertions which have perfectly sensible ZF-style meanings, such as: the existence of wellfounded sets of great size or rank, or the nonexistence of small counterexamples to the wellfoundedness of ∈. Everything here holds also for NFU if the permutations are taken to fix all urelemente.
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50

Finkel, O., and J. P. Ressayre. "Stretchings." Journal of Symbolic Logic 61, no. 2 (1996): 563–85. http://dx.doi.org/10.2307/2275676.

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AbstractA structure is locally finite if every finitely generated substructure is finite; local sentences are universal sentences all models of which are locally finite. The stretching theorem for local sentences expresses a remarkable reflection phenomenon between the finite and the infinite models of local sentences. This result in part requires strong axioms to be proved; it was studied by the second named author, in a paper of this Journal, volume 53. Here we correct and extend this paper; in particular we show that the stretching theorem implies the existence of inaccessible cardinals, an
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