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15 Cards in this Set

  • Front
  • Back

Bootstrap Confidence Interval

A confidence interval formed using bootstrap re-samples taken from the data

Bootstrap Distribution


(alternative name: Bootstrap re-sampling distribution)

The distribution of estimates calculated from each of the bootstrap re-samples taken from the original sample (the data)

Bootstrap Re-sample(s)


(alternative name: Bootstrap sample)

A sample(s) obtained by random sampling, with replacement, from the original sample itself

Bootstrap Re-sampling

Repeatedly taking samples from the sample (the data) with replacement

Confidence Interval

An interval estimate of a population parameter. An interval around a point estimate of a population parameter calculated to allow for uncertainty due to sampling error


A range of plausible or believable values for a population parameter


The word 'confidence' is used in the term because we have confidence in the method that produces the confidence interval

Confidence Limits

The upper and lower boundaries (end-points) of a confidence interval

Estimate


(alternative name: Point estimate)

A number calculated from the data; used to estimate an unknown parameter value


e.g. a sample mean

Interval Estimate

An interval of number within which a parameter value is believed to fall

Parameter

Numerical characteristic of the population or distribution


e.g. a population mean

Percentile Bootstrap Interval

The confidence interval with limits which are the 2.5 and 97.5 percentiles of the bootstrap distribution, i.e. the limits of the central 95% of the bootstrap distribution

Point Estimate

A single number that estimates the value of a parameter


e.g. the value of a sample mean when estimating the value of a population mean

Re-sampling

Taking samples from the sample itself


In the case of bootstrapping this is done with replacement so each unit/person can appear more than once in a sample

Repeated Sampling

Taking samples from the population. Not to be confused with re-sampling

Sampling with Replacement

Each unit can occur more than once in a sample


If a unit is selected in the sampling process, then it remains in the list and could be selected again in the sampling process

Sampling without Replacement

Each unit in the sampling frame can only appear once in the sample, as in a simple random sample


If a unit is selected in the sampling process, then it is removed from the list before the next selection for the sample is made