CRITICAL VALUE Meaning and
Definition
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A critical value, in statistical analysis, refers to the threshold or cutoff point that is used to determine the acceptance or rejection of a null hypothesis in hypothesis testing. It is derived from the chosen significance level or alpha, which represents the probability of rejecting the null hypothesis when it is true. The critical value is used to compare with the test statistic obtained from the sample data to make an inference about the population parameters.
In hypothesis testing, researchers set up a null hypothesis, which assumes no significant difference or relationship between variables, and an alternative hypothesis that represents the claim they seek to support. By collecting sample data and performing statistical calculations, a test statistic is obtained. This test statistic is then compared to the critical value to make a decision whether to reject or fail to reject the null hypothesis.
The critical value is typically obtained from statistical tables or determined based on the desired level of confidence. It is usually denoted as z-value for a z-test, t-value for a t-test, or F-value for an F-test. The choice of critical value depends on the desired level of significance, research objectives, and the specific statistical test being used.
In summary, the critical value is a predetermined cut-off point that helps determine the statistical significance of a test statistic and ultimately guides decision-making in hypothesis testing.
Common Misspellings for CRITICAL VALUE
- xritical value
- vritical value
- fritical value
- dritical value
- ceitical value
- cditical value
- cfitical value
- ctitical value
- c5itical value
- c4itical value
- crutical value
- crjtical value
- crktical value
- crotical value
- cr9tical value
- cr8tical value
- crirical value
- crifical value
- crigical value
- criyical value
Etymology of CRITICAL VALUE
The word "critical" comes from the Greek word "kritikos", which means "able to discern or judge". It is derived from the verb "krinein", which means "to separate, judge, or decide".
The term "value" comes from the Latin word "valere", which means "to be worthy, strong, or sufficient".
When combined, the term "critical value" refers to a numerical value or threshold that plays a significant role in determining the outcome of a particular statistical or mathematical analysis.
