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In hypothesis testing, a Type I error occurs when a true null hypothesis is incorrectly rejected, while a Type II error occurs when a false null hypothesis is not rejected.

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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 are the differences between an MSC, MSB, and graph in the context of data analysis and visualization?

In data analysis and visualization, an MSC (Mean Squared Error) is a measure of the average squared difference between predicted values and actual values. An MSB (Mean Squared Bias) is a measure of the average squared difference between the predicted values and the true values. A graph is a visual representation of data that can help to identify patterns and trends.


What are the common reasons for a pregnancy test error and how can they be avoided?

Common reasons for a pregnancy test error include testing too early, using an expired or faulty test, not following instructions correctly, and certain medications or medical conditions. To avoid errors, wait until the recommended time to test, check the expiration date, follow instructions carefully, and consult a healthcare provider if unsure.


Why are the martingale models less restrictive than the random walk model?

The error term in a random walk is assumed to be iid (often white-noise), but the error in a martingale doesn't have to be. If the error is AR(1) however, then the process can't be martingale, as the error in last period is known, and so the current period error is not mean zero anymore. But the error may have second order serial correlation (like an ARCH process), and still be a martingale. The error in a random walk however must be independent of the prior error (at all orders).


A common formula error?

There are two common formula errors. One error is that the formula is read wrong. The other error is that the formula is written down incorrectly.

Related Questions

What is Hypothesis Testing of Type I Error?

Rejecting a true null hypothesis.


What is Hypothesis Testing of Type II Error?

Failing to reject a false null hypothesis.


How many types of errors in taking a decision about Ho?

There are two types of errors associated with hypothesis testing. Type I error occurs when the null hypothesis is rejected when it is true. Type II error occurs when the null hypothesis is not rejected when it is false. H0 is referred to as the null hypothesis and Ha (or H1) is referred to as the alternative hypothesis.


What is the difference between a mistake and an error?

There is no difference.


What is the difference between a error and a mistake?

There is no difference.


What is the difference between low percent error and high percent error?

The difference between low percent error and high percent error is one is low and the other is high


What is the difference between a bias and a random error?

Bias is systematic error. Random error is not.


What is the relationship of the standard error of the mean to the standard error of the difference?

It would help to know the standard error of the difference between what elements.


What is an alpha error?

An alpha error is another name in statistics for a type I error, rejecting the null hypothesis when the null hypothesis is true.


What is the probability of making a Type II error if the null hypothesis is actually true?

zero. We have a sample from which a statistic is calculated and will challenge our held belief or "status quo" or null hypothesis. Now you present a case where the null hypothesis is true, so the only possible error we could make is to reject the null hypothesis- a type I error. Hypothesis testing generally sets a criteria for the test statistic to reject Ho or fail to reject Ho, so both type 1 and 2 errors are possible.


What is a beta error?

A beta error is another term for a type II error, an instance of accepting the null hypothesis when the null hypothesis is false.


What is the difference between error bug and defect?

In software testing, a bug is something that is wrong with the code, an error is where something has gone wrong with an incorrect system state, but the end user does not see it, and a defect is where there is something wrong with the output, such that the user sees it.