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Changing the alpha level to .05 from .01 what does it do to the risk of Type 1 error?
This will reduce the type 1 error. Since type 1 error is rejecting the null hypothesis when it is true, decreasing alpha (or p value) decreases the risk of rejecting the null hypothesis.
Relationship between type 1 error and type 2 error?
In statistics, there are two types of errors for hypothesis tests: Type 1 error and Type 2 error. Type 1 error is when the null hypothesis is rejected, but actually true. It is often called alpha. An example of Type 1 error would be a "false positive" for a disease. Type 2 error is when the null hypothesis is not rejected, but actually false. It is often called beta. An example of Type 2 error would be a "false negative" for a disease. Type 1 error and Type 2 error have an inverse relationship. The larger the Type 1 error is, the smaller the Type 2 error is. The smaller the Type 2 error is, the larger the Type 2 error is. Type 1 error and Type 2 error both can be reduced if the sample size is increased.
How can the probability of a Type 1 error be reducued?
In some cases a choice of tests may be available; some tests are more powerful than others.Use a larger sample.There is a trade-off between Type I and Type II errors so you can always reduce the Type I error by allowing the Type II error to increase.
What factor can researcher control that will reduce the risk of a type 1 error?
In statistical tests there are 2 main types of Errors, Type I and Type II. Type 1 errors occur when you reject a null hypothesis that is actually true and is thus refereed to as a false positive. Type II errors are essentially the opposite, accepting a null hypothesis that is false, and is often called a false negative. You can reduce the risk of a type I error by lowering the value of P that you're significance test must return to reject the null, but doing so will increase the chance of a type II error. The only way to reduce both is to increase the entire sample size. Alternatively, in some cases, it may also be possible to lower the standard deviation of the experiment, which would also decrease the risk of type I and type II errors.
Is there a direct relationship between the power of a test and the probability of a Type II error?
The power of a test is 1 minus the probability of a Type II error.
