What is Error?

In the statistics and hypothesis testing, an error refers to the emergence of discrepancies between the result value based on observation or calculation and the actual value or expected value.

The failures may happen in different factors, such as turbulent sampling, unclear implementation, or faulty assumptions. Errors can be of many types, such as

In hypothesis testing, it is often clear which kind of error is the problem, either a Type I error or a Type II one.

Type I and Type II Errors

Type I and Type II Errors are central for hypothesis testing in general, which subsequently impacts various aspects of science including but not limited to statistical analysis. False discovery refers to a Type I error where a true Null Hypothesis is incorrectly rejected. On the other end of the spectrum, Type II errors occur when a true null hypothesis fails to get rejected.

In this article, we will discuss Type I and Type II Errors in detail, including examples and differences.

Table of Content

  • Type I and Type II Error in Statistics
  • What is Error?
  • What is Type I Error (False Positive)?
  • What is Type II Error (False Negative)?
  • Type I and Type II Errors – Table
  • Type I and Type II Errors Examples
    • Examples of Type I Error
    • Examples of Type II Error
  • Factors Affecting Type I and Type II Errors
  • How to Minimize Type I and Type II Errors
  • Difference between Type I and Type II Errors

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Type I and Type II Error in Statistics

In statistics, Type I and Type II errors represent two kinds of errors that can occur when making a decision about a hypothesis based on sample data. Understanding these errors is crucial for interpreting the results of hypothesis tests....

What is Error?

In the statistics and hypothesis testing, an error refers to the emergence of discrepancies between the result value based on observation or calculation and the actual value or expected value....

What is Type I Error (False Positive)?

Type I error, also known as a false positive, occurs in statistical hypothesis testing when a null hypothesis that is actually true is rejected. In other words, it’s the error of incorrectly concluding that there is a significant effect or difference when there isn’t one in reality....

What is Type II Error (False Negative)?

Type II error, also known as a false negative, occurs in statistical hypothesis testing when a null hypothesis that is actually false is not rejected. In other words, it’s the error of failing to detect a significant effect or difference when one exists in reality....

Type I and Type II Errors – Table

The table given below shows the relationship between True and False:...

Type I and Type II Errors Examples

Examples of Type I Error...

Factors Affecting Type I and Type II Errors

Some of the common factors affecting errors are:...

How to Minimize Type I and Type II Errors

To minimize Type I and Type II errors in hypothesis testing, there are several strategies that can be employed based on the information from the sources provided:...

Difference between Type I and Type II Errors

Some of the key differences between Type I and Type II Errors are listed in the following table:...

Conclusion – Type I and Type II Errors

In conclusion, type I errors occur when we mistakenly reject a true null hypothesis, while Type II errors happen when we fail to reject a false null hypothesis. Being aware of these errors helps us make more informed decisions, minimizing the risks of false conclusions....

Type I and Type II Errors – FAQs

What is Type I Error?...

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