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Hypothesis - Simple English Wikipedia, the free encyclopedia
In a related but distinguishable usage, the term hypothesis is used for the of a ; thus in proposition "If P, then Q", P denotes the hypothesis (or antecedent); Q can be called a . P is the in a (possibly ) question.
What is the null hypothesis? Why is it important? - Quora
Recall the compact model definition from (Eq 3.2): . Here we can regard the VAR model coefficients as a filter which transforms innovations (random white noise), , into observed, structured data . Consequently, for coefficient estimates , we can obtain the residuals . If we have adequately modeled the data, the residuals should be small and uncorrelated (white). Correlation structure in the residuals means there is still some correlation structure in the data that has not been described by our model. Checking the whiteness of residuals typically involves testing whether the residual autocorrelation coefficients up to some desired lag are sufficiently small to ensure that we cannot reject the null hypothesis of white residuals at some desired significance level.
Second, for a moment forget the null hypothesis.
This type of error refers to the situation where it is concluded that a difference between the two groups exists, when in fact it does not. The probability of a type I error is often denoted with the symbol α. As this type of error is based on a situation in which the 'null hypothesis' is correct, it is associated with the p-value given in a hypothesis test, which is often set at 0.05 to indicate 'significance'. This means that there is a 5% chance of a type I error (which in the case of hypothesis testing, is interpreted as 'if the null hypothesis was correct, we would expect to see this difference or greater only 5% of the time - meaning that there is [weak] evidence against the null hypothesis being correct).