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Keywords: Poisson regression, Negative binomial regression, Zero-inflated Poisson, Zero-inflated negative binomial, Poisson Hurdle and Negative binomial hurdle. Abstract Abstract: Sample size requirements are common in many multivariate analysis techniques as one of the measures taken to ensure the robustness of such techniques, such requirements have not been of interest in the area of count data models.
Downloads Download data is not yet available. References Bajpai, N. Business statistics. Pearson Education India. Berk, K. Cengage Learning. Burger, M. On the specification of the gravity model of trade: zeros, excess zeros and zero-inflated estimation. Spatial Economic Analysis, 4 2 , Cameron, A. Regression analysis of count data Vol.
Cambridge university press. Cox, F. Human intimacy: Marriage, the family, and its meaning.
Nelson Education. Famoye, F. Zero-inflated generalized Poisson regression model with an application to domestic violence data. Journal of Data Science, 4 1 , Fuzi, M. Bayesian quintile regression model for claim count data. Insurance: Mathematics and Economics, 66, Hilbe, J. Modelling count data pp. Springer Berlin Heidelberg. Holman, T. Premarital prediction of marital quality or breakup: Research, theory, and practice. INC, S.
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Little, T. The Oxford handbook of quantitative methods, volume 1: Foundations. Oxford University Press. There are a number of measures that could be used as convergence or stopping criteria. When an estimation technique that iterates estimates of is used that is, IT3SLS , two convergence criteria are used. If the second value, s , is not specified, it defaults to p. The criterion labeled S described later in the section controls the convergence of the S matrix. When S is less than s , the S matrix has converged. The criterion labeled R is compared to the p -value to test convergence of the parameters.
The R convergence measure cannot be computed accurately in the special case of singular residuals when all the residuals are close to 0 or in the case of a 0 objective value. It measures the degree to which the residuals are orthogonal to the Jacobian columns, and it approaches 0 as the gradient of the objective function becomes small. R is defined as the square root of. R is similar to the relative offset orthogonality convergence criterion proposed by Bates and Watts The area under an ROC curve AUC is a measure for the accuracy of a diagnostic test the larger the area the better; the optimum is Y, a random test would have a ROC curve lying on the diagonal with an area of 0.
As used herein, the term "neoplasm" refers to "an abnormal mass of tissue, the growth of which exceeds and is uncoordinated with that of the normal tissues" See, e. As used herein, the term "adenoma" refers to a benign tumor of glandular origin. Although these growths are benign, over time they may progress to become malignant. The term "pre-cancerous" or "pre-neoplastic" and equivalents thereof refer to any cellular proliferative disorder that is undergoing malignant transformation. A "site" of a neoplasm, adenoma, cancer, etc.
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As used herein, a "diagnostic" test application includes the detection or identification of a disease state or condition of a subject, determining the likelihood that a subject will contract a given disease or condition, determining the likelihood that a subject with a disease or condition will respond to therapy, determining the prognosis of a subject with a disease or condition or its likely progression or regression , and determining the effect of a treatment on a subject with a disease or condition. For example, a diagnostic can be used for detecting the presence or likelihood of a subject contracting a neoplasm or the likelihood that such a subject will respond favorably to a compound e.
The term "marker", as used herein, refers to a substance e. The term "isolated" when used in relation to a nucleic acid, as in "an isolated oligonucleotide" refers to a nucleic acid sequence that is identified and separated from at least one contaminant nucleic acid with which it is ordinarily associated in its natural source.
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Isolated nucleic acid is present in a form or setting that is different from that in which it is found in nature. RNA sequences, such as a specific mRNA sequence encoding a specific protein, found in the cell as a mixture with numerous other mRNAs which encode a multitude of proteins. However, isolated nucleic acid encoding a particular protein includes, by way of example, such nucleic acid in cells ordinarily expressing the protein, where the nucleic acid is in a chromosomal location different from that of natural cells, or is otherwise flanked by a different nucleic acid sequence than that found in nature.
The isolated nucleic acid or oligonucleotide may be present in single-stranded or double-stranded form. When an isolated nucleic acid or. An isolated nucleic acid may, after isolation from its natural or typical environment, by be combined with other nucleic acids or molecules.
Example 23.2 Similarity Analysis
For example, an isolated nucleic acid may be present in a host cell in which into which it has been placed, e. The term "purified" refers to molecules, either nucleic acid or amino acid sequences that are removed from their natural environment, isolated, or separated. An "isolated nucleic acid sequence" may therefore be a purified nucleic acid sequence.
As used herein, the terms "purified" or "to purify" also refer to the removal of contaminants from a sample. The removal of contaminating proteins results in an increase in the percent of polypeptide or nucleic acid of interest in the sample. In another example, recombinant polypeptides are expressed in plant, bacterial, yeast, or mammalian host cells and the polypeptides are purified by the removal of host cell proteins; the percent of recombinant polypeptides is thereby increased in the sample.
The term "composition comprising" a given polynucleotide sequence or polypeptide refers broadly to any composition containing the given polynucleotide sequence or polypeptide. The composition may comprise an aqueous solution containing salts e.
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The term "sample" is used in its broadest sense. In one sense it can refer to an animal cell or tissue. In another sense, it is meant to include a specimen or culture obtained from any source, as well as biological and environmental samples. Biological samples may be obtained from plants or animals including humans and encompass fluids, solids, tissues, and gases. Environmental samples include environmental material such as surface matter, soil, water, and industrial samples. These examples are not to be construed as limiting the sample types applicable to the present invention.
As used herein, a "remote sample" as used in some contexts relates to a sample indirectly collected from a site that is not the cell, tissue, or organ source of the sample. For instance, when sample material originating from the pancreas is assessed in a stool sample e. As used herein, the terms "patient" or "subject" refer to organisms to be subject to various tests provided by the technology.
The term "subject" includes animals, preferably mammals, including humans. In a preferred embodiment, the subject is a primate. In an even more preferred embodiment, the subject is a human. As used herein, the term "kit" refers to any delivery system for delivering materials.