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Hifumi's Study NotesnotesProbability and StatisticsEstimator

Estimator

Tags
PAS
Cegep/2
Word count
150 words
Reading time
1 minute

Formula to estimate a population parameter (target parameter) from sample data

[!abstract] Degrees of freedom
Number of values in an estimate of a parameter that are free to vary
Sym. df

Types

Point

Estimates the parameter at a point

[!abstract] Bias
Difference between the mean of a point estimator and the parameter it estimates

[!example]

  • Sample mean is a point estimator of population mean.
  • Sample variance is a point estimator of population variance.

Interval

Estimates the parameter in an interval

[!abstract] Confidence interval
Interval estimator with a level of certainty attached to it

[!abstract] Confidence coefficient
Probability that a confidence interval encloses the target parameter
Sym. (1α)

[!abstract] Confidence level
Confidence coefficient as a percentage
Sym. (1α)100%

[!abstract] Margin of error
Half the width of a confidence interval
Syn. sampling error
Sym. Δ

Contributors

Changelog