# How do you interpret a confidence interval

Confidence interval

**Next page:**Test procedure

**Upwards:**Estimation procedure

**Previous page:**Estimation process & nbsp

**index**

With a "random sample" one can make statements about an unknown "population". The range of values in which one expects the relevant parameter of the population with a certain probability is called

*Confidence interval*(English: confidence interval).

The width of the confidence interval is called *precision* the estimate. It depends on the one you want *security* the estimate (in the example 99%), the "sample size" and the "standard error" of the sample statistics. The complementary probability of the certainty, the uncertainty of the estimate, is called *Probability of error* designated. The probability given with a confidence interval, the certainty , can be interpreted as follows: If one were to draw an infinite number of samples of the same size and use the same interval width for each estimate, then the actual parameter of the population would be % of the estimates within the respective confidence interval. Since in empirical social research one usually only has *a* Sample, this interpretation is not particularly helpful.

To calculate the confidence interval, the "sample distribution" of the respective statistic must be known. For the estimation of an arithmetic mean one usually uses the -Distribution «, since the spread of the examined characteristic in the population is also unknown in most cases and has to be estimated with the sample data. Otherwise the "normal distribution" could be used. The »normal distribution« is used approximately to estimate a share value. Since, in empirical social research, samples are selected without replacing, the standard error must be multiplied by a correction factor for finite totalities in the case of selection sentences over 5% (see "Selection technique").

**Next page:**Test procedure

**Upwards:**Estimation procedure

**Previous page:**Estimation process & nbsp

**index**HJA 2001-10-01

- Every company needs a seller
- Will the US ever confiscate weapons?
- What are the best knee chairs
- What is Google Sandbox 1
- What are some interests of atheists
- Where is Fortran used nowadays
- Why did Apple remove the home button
- Can Quora help give meaning to my life
- The appreciation of classical music is dying
- How can I celebrate the New Year differently?
- What is another word for not careful?
- What are the basic properties of light
- What is the Hawaiian word for golden
- What does the Labor Party stand for
- What is an intellectual property lawyer
- Are there unsafe areas in Taipei, Taiwan
- Is mass only momentum in time
- What are some examples of introductory remarks
- What did Nostradamus predict about Hinduism?
- Are gifted programs helpful or harmful
- Have registered firearms
- Why do we love video games
- What was your best chance discovery
- How much money did you save