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What is the minimum sample size needed for Poisson Regression?

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Compound Poisson distribution

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The minimum sample size needed for Poisson Regression can be determined using an exact approach that reduces infinite evaluations of coverage probability to finite evaluations . This reduction is based on the discovery that the minimum coverage probability with respect to a Poisson parameter bounded in an interval is attained at a discrete set of finite values . Computational mechanisms have been developed to further reduce the computational complexity . Additionally, a method has been proposed that compares Poisson distributed outcomes and calculates the sample size required to detect a given difference with a prespecified power . The proposed method is more intuitive, efficient, and less subjective than the normal approximation method .

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Journal Article•DOI Sample size for Poisson regression David F. Signorini 01 Jun 1991-Biometrika 122 Citations	The paper provides methods for calculating the sample size required for testing hypotheses about the parameters in Poisson regression, but it does not explicitly state the minimum sample size needed.
Journal Article•DOI Determination of sample size for selecting the smallest of k poisson population means Madhuri S. Mulekar, Frank J. Matejcik - Show less +1 more 01 Jan 2000-Communications in Statistics - Simulation and Computation 5 Citations	The provided paper does not mention anything about the minimum sample size needed for Poisson Regression.
Journal Article•DOI Sample Size Calculation for Poisson Endpoint Using the Exact Distribution of Difference Between Two Poisson Random Variables Sandeep Menon, Joseph M. Massaro, Jerry Lewis, Michael J. Pencina, Yong-Cheng Wang, Philip Lavin - Show less +5 more 01 Aug 2011-Statistics in Biopharmaceutical Research 3 Citations	The provided paper does not mention the minimum sample size needed for Poisson Regression.
Journal Article•DOI Exact calculation of minimum sample size for estimating a Poisson parameter Zhengjia Chen, Xinjia Chen - Show less +1 more 16 Jun 2016-Communications in Statistics-theory and Methods 6 Citations	The provided paper does not specifically mention the minimum sample size needed for Poisson Regression. The paper focuses on developing an exact approach for determining the minimum sample size for estimating a Poisson parameter.
Open access•Posted Content Exact Computation of Minimum Sample size for Estimation of Poisson Parameters Xinjia Chen 17 Jul 2007-arXiv: Statistics Theory 11 Citations	The provided paper does not specifically mention the minimum sample size needed for Poisson Regression.

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What is the minimum sample size required for a reliable study?4 answersThe minimum sample size required for a reliable study depends on the specific research question and methodology. Ramos and Macau investigated the minimum sample size for reliable causal inference in non-stationary systems using Transfer Entropy. Yang and Wu proposed a methodological framework to determine the minimum sample size for stable distributions of freeway travel times, recommending a minimum sample size of 65 weeks for travel time reliability measurements. Nundy, Kakar, and Bhutta emphasized the importance of finding an adequate sample size that serves the purpose of the study, avoiding underpowered or unnecessarily large studies. Yang, Yao, Qu, and Zhang developed a minimum sample size forecasting model for reliable traffic information, considering factors such as road condition and traffic status. Alluri, Saha, and Gan determined the minimum sample sizes for estimating reliable calibration factors for different types of roadways, based on Florida data.

What is minimum sample number for convenience sampling?5 answersThe minimum sample number for convenience sampling was determined in a study conducted by 백승헌 et al.. They collected data from 276 participants who visited 8 screen golf courses in G and J regions. The study used cluster analysis, chi-square analysis, and multiple regression analysis to analyze the data. The results showed that the factors influencing image and intention to convert varied depending on the characteristics of the clusters. In high-level clusters, the environment had a positive impact on image, while in low-level clusters, higher prices had a negative impact on image. In terms of intention to convert, high-level clusters were influenced by accessibility, environment, and program, while low-level clusters were influenced by environment and program. Additionally, both high-level and low-level clusters showed that image had an impact on intention to convert.

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How to determine sample size for a multi generatinal study?

To determine the sample size for a multi-generational study, various statistical methodologies can be employed based on the study design and objectives. For hierarchical designs commonly used in medical and health research, a unified methodology has been developed to address issues like joint significance testing, unequal cluster allocations, and attrition rates over time. In the context of longitudinal studies, sample size calculations involve additional factors like the number of follow-up measurements and correlations between repeated measurements. For studies involving single-nucleotide polymorphisms (SNPs) and multi-class classification scenarios, sample size determination methods based on AUC or VUS metrics can ensure accurate classifier construction within cost constraints. Additionally, in clinical research utilizing a cross-over design with multiple treatment groups, novel methods have been proposed for sample size determination to verify mean differences effectively.What is minimum size of dataset required for ML model?

The minimum size of the dataset required for training machine learning models varies depending on the specific task and model being used. In the context of Software Engineering, where small and medium-sized datasets are common, pre-trained Transformer models have shown effectiveness even on small datasets, with some tasks requiring less than 1,000 samples. For clinical validation studies of machine learning models, Sample Size Analysis for Machine Learning (SSAML) provides a standardized approach to estimating sample sizes, ensuring precision and accuracy at a desired confidence level, with minimum sample sizes determined based on standardized criteria. Therefore, the minimum dataset size needed for training a machine learning model can be influenced by factors such as the complexity of the task, the model architecture, and the desired level of performance.Does not naOH between injections ruin the immobilized compound in SPR?

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