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The '''Theory of Statistics''' includes a number of topics:
The '''theory of statistics''' includes a number of topics:






Statistical [[Statistics/Models|models]] of the sources of data and typical problem formulation:
[[statistical model|Statistical models]] of the sources of data and typical problem formulation:


#[[Survey Sampling|Sampling]] from a finite population
#[[survey sampling|Sampling]] from a finite population


#Measuring [[Observational Error]] and refining procedures
#Measuring [[observational error]] and refining procedures


#Studying statistical [[Statistics/Multivariate|relations]]
#Studying statistical [[multivariate statistics|relations]]






[[Planning Research]] to measure and control [[Observational Error]]:
[[Planning Research]] to measure and control [[observational error]]:






#[[Designing Experiments]] to determine treatment effects
#[[experimental design|Designing experiments]] to determine treatment effects


#[[Survey Sampling]] to describe natural populations
#[[Survey sampling]] to describe natural populations






[[Summarizing Statistical Data]] in conventional forms (also known as [[Descriptive Statistics]])
[[Summarizing statistical data]] in conventional forms (also known as [[descriptive statistics]])






#Choosing [[Summary Statistics]] to describe a sample
#Choosing [[summary statistics]] to describe a sample


#Fitting [[Probability Distributions]] to sample data
#Fitting [[probability distributions]] to sample data






[[Interpreting Statistical Data]] is the final objective of all research:
[[Interpreting statistical data]] is the final objective of all research:






#Common [[Statistics/Assumptions|assumptions]] that we make
#Common [[statistical assumptions|assumptions]] that we make


#[[Likelihood Principle]]
#[[Likelihood principle]]


#[[Estimating Parameters]]
#[[Estimating parameters]]


#[[Testing Hypotheses]]
#[[Testing statistical hypotheses]]


#[[Revising Opinions]]
#[[Revising opinions in statistics]]




Revision as of 06:01, 3 July 2001

The theory of statistics includes a number of topics:


Statistical models of the sources of data and typical problem formulation:

  1. Sampling from a finite population
  1. Measuring observational error and refining procedures
  1. Studying statistical relations


Planning Research to measure and control observational error:


  1. Designing experiments to determine treatment effects
  1. Survey sampling to describe natural populations


Summarizing statistical data in conventional forms (also known as descriptive statistics)


  1. Choosing summary statistics to describe a sample
  1. Fitting probability distributions to sample data


Interpreting statistical data is the final objective of all research:


  1. Common assumptions that we make
  1. Likelihood principle
  1. Estimating parameters
  1. Testing statistical hypotheses
  1. Revising opinions in statistics


back to Probability and Statistics


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