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Null hypothesis information


In scientific research, the null hypothesis (often denoted H0)[1] is the claim that the effect being studied does not exist.[note 1] The null hypothesis can also be described as the hypothesis in which no relationship exists between two sets of data or variables being analyzed. If the null hypothesis is true, any experimentally observed effect is due to chance alone, hence the term "null". In contrast with the null hypothesis, an alternative hypothesis is developed, which claims that a relationship does exist between two variables.

  1. ^ Helmenstine, Anne Marie. "What Is the Null Hypothesis? Definition and Examples". ThoughtCo. Retrieved 10 December 2019.


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Null hypothesis

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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...

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Statistical hypothesis test

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

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Statistics

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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...

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Type I and type II errors

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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,...

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Hypothesis

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

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Statistical significance

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

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Alternative hypothesis

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the null hypothesis. The test of significance is designed to assess the strength of the evidence against the null hypothesis. Usually, the null hypothesis...

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Power of a test

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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...

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The Design of Experiments

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Among other contributions, the book introduced the concept of the null hypothesis in the context of the lady tasting tea experiment. A chapter is devoted...

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Null distribution

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In statistical hypothesis testing, the null distribution is the probability distribution of the test statistic when the null hypothesis is true. For example...

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Null result

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different from what is to be expected under the null hypothesis; its probability (under the null hypothesis) does not exceed the significance level, i.e...

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False positive rate

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or false alarm ratio) is the probability of falsely rejecting the null hypothesis for a particular test. The false positive rate is calculated as the...

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Permutation test

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statistical hypothesis test making use of the proof by contradiction. A permutation test involves two or more samples. The null hypothesis is that all...

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False positives and false negatives

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corresponds to rejecting the null hypothesis, and a negative result corresponds to not rejecting the null hypothesis. The terms are often used interchangeably...

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False discovery rate

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(FDR) is a method of conceptualizing the rate of type I errors in null hypothesis testing when conducting multiple comparisons. FDR-controlling procedures...

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Sign test

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tests. Let p = Pr(X > Y), and then test the null hypothesis H0: p = 0.50. In other words, the null hypothesis states that given a random pair of measurements...

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