Beta risk (β) is the risk that a decision will be made that a part is not defective when it really is. In other words, when the decision is made that a difference does not exist when there actually is. Or when the data on a control chart indicates the process is in...
Bartlett’s test encompasses several related statistical procedures designed to examine variance characteristics in datasets. Originally developed by Maurice Bartlett in the 1930s and 1940s, these tests have become essential tools in modern statistical analysis....
A synonym for “mean”: the sum of a set of values divided by the number of values. In colloquial language, an average is a single number taken as representative of a non-empty list of numbers. Different concepts are used in different contexts. Often...
In statistical analysis, hypothesis testing plays a critical role in making data-driven decisions. The process typically involves testing two mutually exclusive hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1). This distinction helps...
Alpha risk (α) is the risk of incorrectly deciding to reject the null hypothesis, HO. If the confidence interval is 95%, then the alpha risk is 5% or 0.05. For example, there is a 5% chance that a part has been determined defective when it actually is not. One has...