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Statistical modeling

As explained in Effective Data Analysis

A statistical model is a mathematical representation of relationships among variables and random variation in observed data.

Statistical modeling mathematically represents relationships between predictors and outcomes while accounting for random variation. A model uses an equation to approximate patterns, quantify structure, support inference, and predict outcomes. section 9.1

Use statistical models to:

  • Assess the statistical significance of predictors and their relationship with an outcome. section 9.1
  • Predict future values within the range represented by the fitting dataset. section 9.1
  • Generate insights that support data-informed organizational decisions. section 9.1
  • Evaluate performance, fine-tune the fit, and produce deliverables suited to stakeholder needs. section 9.0 section 9.3

Choosing a modeling deliverable

A marketing analyst can model whether people who click advertisements convert into free-trial or paying customers. The useful deliverable depends on whether stakeholders need explanations of influential factors or live conversion predictions. section 9.3

Figure 9.1 A linear regression with two variables (a predictor and outcome) is one of the simplest forms of statistical models to fit to your data.
figure

A two-variable linear regression provides a simple visual example of a predictor, an outcome, and an equation fitted to observed data. section 9.1

Models are useful approximations rather than perfect descriptions of reality. A good fit captures the general shape and trend of observed data, but complex processes and unmeasured influences prevent guaranteed accuracy. section 9.1

How Effective Data Analysis covers it

How deep it goes
Explains definitions, purposes, fitting, evaluation, iteration, and limitations, while stopping short of detailed model-specific implementation.
Examples
Uses drink-order prediction, New York City rat complaints, advertising conversions, linear regression, residuals, R2, AIC, and BIC.
What you can do after
Evaluate model performance, refine fitted models, interpret results, and select deliverables that match stakeholder needs.
How it connects
Connects descriptive statistics, univariate statistics, bivariate statistics, linear regression, and polynomial regression.

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Related concepts

This explainer was generated by Manning's knowledge graph from the text of Effective Data Analysis. The section links point to the parts of the book it draws on.