|
|
 | Types of Errors |  |
 |
Types of Errors The discipline of statistics gives us guidelines for how to design a test statistic and how to define the critical region and acceptance region. The guidance is in terms of error.
There are two kinds of errors. In hypothesis testing, the probability of a type 1 error is fixed by the significance level of the test. If the Null hypothesis is true, it is the probability that the test statistic takes a value in the critical region. Typical values for the fixing of the probability of a type 1 error are 5%, 1%, or .1%. The fixed value is called the significance level of the test. Of all the possible definitions for a critical region in which the probability that the test statistic will fall into the critical region is fixed ahead of time, which one should be chosen? That answer depends on the Alternative hypothesis. Of all the possible critical regions, each of fixed probability under the Null hypothesis, the one we desire is the one having the highest probability for the test statistic under the Alternative hypothesis. By doing this for a fixed probability of a type 1 error, we minimize the probability for a type 2 error. |
|
 |
About |
|
Purpose |
|
Book List |
|
Policy |
|
Experiments |
|
Papers |
|
Torah Code Tutorial |
|
Torah Code Tables |
|
|
|
Kabbalah Torah |
|
|
Last modified Wed, Jan-21-2009, 14:27 MST |