Bootstrap estimate of Standard Error

Posted in Statistics, Total Reads: 969
Advertisements

Definition: Bootstrap estimate of Standard Error

Bootstrap estimate is the method for calculating measures of accuracy to sample estimates. Bootstrap estimate falls under the category of re-sampling methods.

Bootstrap is used for estimating standard errors, biases and to calculate intervals of any statistics.

Method:

Let the given Data be “x”.

A Bootstrap sample is a random sample of size “a” taken with replacement from “x”

            x* = (x1*, x2*,x3*,x4*,x5*…………..xa*)

Then, Bootstrap Replication:

            of statistics Ê = s (x) is

                        Ê* = s (x*)

So, Bootstrap estimate of Standard Error is the observed standard deviation of repeated bootstrap replication.

Application:

  • When the theoretical distribution of statistics of interest is unknown
  • When the sample size is insufficient
  • When power calculation has to be done and a small data is available

 

Hence, this concludes the definition of Bootstrap estimate of Standard Error along with its overview.

Advertisements

Browse the definition and meaning of more terms similar to Bootstrap estimate of Standard Error. The Management Dictionary covers over 7000 business concepts from 6 categories.

Search & Explore : Management Dictionary



Share this Page on: