scientific research, the null hypothesis (often denoted H0) is the claim that the effect being studied does not exist. The null hypothesis can also be described...

epistemological importance of the choice of null hypothesis has gone largely unacknowledged. When the null hypothesis is predicted by theory, a more precise...

recognized: Type I errors (null hypothesis is rejected when it is in fact true, giving a "false positive") and Type II errors (null hypothesis fails to be rejected...

In null-hypothesis significance testing, the p {\displaystyle p} -value is the probability of obtaining test results at least as extreme as the result...

-value by comparing T {\displaystyle T} to its distribution under the null hypothesis. The ranks are defined so that R i {\displaystyle R_{i}} is the number...

statistical hypothesis testing, two hypotheses are compared. These are called the null hypothesis and the alternative hypothesis. The null hypothesis is the...

valid when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof. Pearson's...

statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis were...

In statistical hypothesis testing, a type I error, or a false positive, is the rejection of the null hypothesis when it is actually true. For example,...

statistics, the power of a binary hypothesis test is the probability that the test correctly rejects the null hypothesis ( H 0 {\displaystyle H_{0}} ) when...