What Estimation is
Estimation is a statistical process used to draw conclusions from a sample data set about a larger population of interest. Estimation involves the use of sample data to calculate estimates of population parameters such as means, proportions, and variances.
The steps for estimation include:
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Define the population of interest and the parameters that you would like to estimate.
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Select a sample of the population and collect the data.
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Calculate the sample statistics.
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Calculate the point estimate of the parameter.
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Calculate a confidence interval around the point estimate.
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Interpret the results of the estimation.
Examples
- Estimating the population mean from a sample of data.
- Estimating the standard deviation of a population from a sample.
- Estimating the probability of an event from sample data.
- Estimating the regression coefficients from a regression model.
- Estimating the probability density function of a random variable from a sample.
- Estimating the reliability of a product from a sample of test results.
- Estimating the mean of a population from a confidence interval.
- Estimating the parameters of a distribution from a sample of data.