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If the probability of type 1 error is reduced the probability of type 2 error is also reduced?
Wiki User
∙ 14y ago
No....the two are mirror images of each other. Reducing type I would increase type II
Wiki User
∙ 14y ago
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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.
What is the probability that type 1 error will be made z -2.575 or z 2.575?
The probability is 0.005012, approx.
Reduce type 1 error?
Accept lower p-values (meaning lower in magnitude; values tending toward zero).--And don't forget that by reducing the probability of getting a type I error, you increase the probability of getting a type II error (inverse relationship).
What is the probability that type 1 error will be made for z -2.33 or z 2.33?
2%
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.
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.
If given a sample size reducing the probability of a Type I error will increase the probablility of a Type II error?
Yes.
What is the probability that type 1 error will be made z -2.575 or z 2.575?
The probability is 0.005012, approx.
Reduce type 1 error?
Accept lower p-values (meaning lower in magnitude; values tending toward zero).--And don't forget that by reducing the probability of getting a type I error, you increase the probability of getting a type II error (inverse relationship).
If a test of hypothesis has a type 1 error probability 01?
If the type 1 error has a probability of 01 = 1, then you will always reject the null hypothesis (false positive) - even when the evidence is wholly consistent with the null hypothesis.
What is the probability that type 1 error will be made for z -2.33 or z 2.33?
2%
What factor can a researcher control that will reduce the type 1 error?
The significance level can be reduced.
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 is the probability of making type 1 error when null hypothesis is true?
It is the same as the significance level of the test - often 5%.
What is alpha in mathematics?
It is the first letter of the Greek alphabet which can be used, in geometry or algebra, to represent angles. In probability it can be used to represent a Type I error.
When performing a study what is a type 2 error?
A type 2 error is when you accept your null hypothesis when in fact the alternative is true. A type 2 error is also known as a false negative.
