• Inferential Statistics or Inductive Statistics or Statistical Inference is the process of inferring something about the population based on what is measured in the sample. Inferential statistics are used to determine if observed data we obtain from a sample (i.e., data we collect) are different from what one would expect by chance alone

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• Inferential Statistics Paradigms are the formal methods of estimating parameters of an underlying distribution/population

Reading Prerequisites

• Where Do Probabilities Come From?
• Probability

Statistical Inference Paradigms - Types

• Bayesian Inference - is a type of statistical inference based on the Bayesian interpretation of probability where probability expresses a degree of belief in an event
• Frequentist Inference - is a type of statistical inference that draws the probability of sample data by emphasizing the long-term frequency of an event
• Classical Inference -
• Likelihood-based Inference - a subtype of Frequentist Inference. approaches statistics by using the likelihood function. Some likelihoodists reject inference, considering statistics as only computing support from evidence. Others, however, propose inference based on the likelihood function, of which the best-known is maximum likelihood estimation
• AIC-Based Inference - based on Akaike’s Information Criterion
• Fiducial Inference -
• Structural Inference -
• Fisherian Inference -

Statistical Inference Paradigms - Table