analytical model

(noun)

a model that works best when dealing with relatively simple (often linear) systems, specifically those that can be accurately described by a set of mathematical equations whose behavior is well known

Related Terms

  • simulation model
  • conceptual model

Examples of analytical model in the following topics:

  • Modeling Ecosystem Dynamics

    • Conceptual models describe ecosystem structure, while analytical and simulation models use algorithms to predict ecosystem dynamics.
    • In these cases, scientists often use analytical or simulation models.
    • Like analytical models, simulation models use complex algorithms to predict ecosystem dynamics.
    • Simulation models use numerical techniques to solve problems for which analytic solutions are impractical or impossible.
    • Compare and contrast conceptual, analytical, and simulation models of ecosystem dynamics
  • Analytical Mindset

    • Strong analytical skills are as much a developed competency as they are a perspective.
    • Depending on the particular role, industry, organization and objectives, a manager may use one or more of the following analytical models to frame tactical and strategic questions:
    • Decision analytics – Using data-driven models and visualizing outcomes of specific organizational behaviors can enable managers to visualize the various outcomes of different strategic approaches.
    • Predictive analytics – Leveraging statistical models and machine learning, managers can predict future outcomes with varying degrees of statistical confidence.
    • Prescriptive analytics – Using optimization and simulation, managers can produce recommended decisions through analytical modeling.
  • Studying Ecosystem Dynamics

    • Many different models are used to study ecosystem dynamics, including holistic, experimental, conceptual, analytical, and simulation models.
    • Three basic types of ecosystem modeling are routinely used in research and ecosystem management: conceptual models, analytical models, and simulation models.
    • Analytical and simulation models are mathematical methods of describing ecosystems that are capable of predicting the effects of potential environmental changes without direct experimentation, although with limitations in accuracy.
    • An analytical model is created using simple mathematical formulas to predict the effects of environmental disturbances on ecosystem structure and dynamics.
    • Differentiate between conceptual, analytical, and simulation models of ecosystem dynamics, and mesocosm and microcosm research studies
  • The Value of Analytics in Decision Making

    • Predictive analytics encompass a variety of statistical techniques (such as modeling, machine learning, and data mining) that analyze current and historical facts to make estimates about future events.
    • Models capture relationships among many factors, allowing an assessment of risk or potential associated with a particular set of conditions.
    • Predictive analytics are particularly useful when there is a high degree of uncertainty.
    • Descriptive analytics answer the questions, "What happened and why did it happen?"
    • Descriptive and predictive analytics have increased greatly in popularity due to advances in computing technology, techniques for data analysis, and mathematical modeling.
  • Analyzing Data

    • Analysis of data is a process of inspecting, cleaning, transforming, and modeling data with the goal of highlighting useful information, suggesting conclusions, and supporting decision making.
    • Data mining is a particular data analysis technique that focuses on modeling and knowledge discovery for predictive rather than purely descriptive purposes.
    • Predictive analytics focuses on application of statistical or structural models for predictive forecasting or classification.
    • Text analytics applies statistical, linguistic, and structural techniques to extract and classify information from textual sources, a species of unstructured data.
  • Sociology Today

    • Conversely, recent decades have seen the rise of new analytically, mathematically, and computationally rigorous techniques such as agent-based modelling and social network analysis.
    • Analytical sociology is an ongoing effort to systematize many of these middle-range theories.
  • Interpersonal Skills of Successful Managers

    • A manager must be both analytical and personable when it comes to managing time, resources, and personnel.
    • Realistically, most organizations need leaders who can view their teams analytically and objectively, evaluating inefficiencies and making unpopular choices.
    • This model provides a theoretical framework for the act of communicating, which lies at the heart of effective management.
  • Description of the Hydrogen Atom

    • The solution to the Schrödinger equation for hydrogen is analytical.
    • In most such cases, the solution is not analytical and either computer calculations are necessary or simplifying assumptions must be made.
    • The value of 13.6 eV is called the Rydberg constant and can be found from the Bohr model and is given by:
    • This model shows approximate dimensions for nuclear and electron shells (not drawn to scale).
    • It shows a diameter about twice the radius indicated by the Bohr model.
  • Quantitative and Analytical Management Tools

    • Managers can use many different quantitative and analytic tools to better understand workflow processes, financial management, and employee efficiency.
    • A decision tree is a branching graph or model of decisions and their possible consequences, including chance event outcomes, resource costs, and utility.
    • The act of simulating something first requires that a model be developed; this model represents the key characteristics or behaviors of the selected physical or abstract system or process.
    • Give examples of quantitative and analytical management tools that assist organizations in better understanding workflow, financials and employee efficiency
  • Logistic Equations and Population Grown

    • A logistic equation is a differential equation which can be used to model population growth.
    • More quantitatively, as can be seen from the analytical solution, the logistic curve shows early exponential growth for negative $t$, which slows to linear growth of slope $\frac{1}{4}$ near $t = 0$, then approaches $y = 1$ with an exponentially decaying gap.
    • In the equation, the early, unimpeded growth rate is modeled by the first term $rP$.
    • This antagonistic effect is called the bottleneck, and is modeled by the value of the parameter $K$.
    • Describe shape of the logistic function and its use for modeling population growth
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