What is a Statistical Model and How Does it Aid in Making Inferences?

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SUMMARY

A statistical model is a mathematical framework that utilizes probability to make inferences about data. It is essential for drawing conclusions based on observed data and is distinct from probabilistic models, which may not serve this inferential purpose. The discussion emphasizes that statistical models are specifically designed to aid in inferential decision-making, highlighting their role in statistics.

PREREQUISITES
  • Understanding of basic statistical concepts
  • Familiarity with probability theory
  • Knowledge of inferential statistics
  • Experience with statistical software (e.g., R or Python)
NEXT STEPS
  • Research "Inferential Statistics Techniques" to deepen understanding of decision-making processes.
  • Explore "Probabilistic Models vs. Statistical Models" to clarify distinctions.
  • Learn about "Statistical Software Packages" like R for practical applications.
  • Study "Bayesian Inference" as an advanced statistical modeling technique.
USEFUL FOR

Statisticians, data analysts, researchers, and anyone interested in understanding the foundations of statistical inference and modeling techniques.

jackyj1
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This might sound like a ridiculous question, but could someone please give an intuitive explanation of what a statistical model is? I have always thought that it was just a tool used to make inferences about data, but I was told very recently that this definition is not entirely correct. Could someone explain?
 
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Perhaps no verbal definition of a general idea can be entirely correct. Give us a hint - what did the person who objected to your definition say about its deficiencies? If we know that, perhaps we'll know what topics to discuss.
 
Hey jackyj1 and welcome to the forums.

Statistics is primarily concerned with using probability to do things like make inferences. Probabilistic models may not necessarily do this even in part.

From this if you are talking about statistical models, you will most likely want to be talking about something that helps you make an inferential decision of some sort.
 

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