Contents
How does variance affect the p-value?
You can conclude that the difference between the population variance or standard deviation the hypothesized variance or standard deviation is statistically significant. If the p-value is greater than the significance level, the decision is to fail to reject the null hypothesis.
What do high P values indicate?
A p-value higher than 0.05 (> 0.05) is not statistically significant and indicates strong evidence for the null hypothesis. This means we retain the null hypothesis and reject the alternative hypothesis. You should note that you cannot accept the null hypothesis, we can only reject the null or fail to reject it.
What happens to the p-value when the sample mean increases?
When we increase the sample size, decrease the standard error, or increase the difference between the sample statistic and hypothesized parameter, the p value decreases, thus making it more likely that we reject the null hypothesis.
What does the p-value indicate?
In statistics, the p-value is the probability of obtaining results at least as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
Is the p-value a statistically significant variable?
This is the point of the paper with Hal Stern, “The difference between ‘significant’ and ‘not significant’ is not itself statistically significant.” The p-value, like any data summary, is a random variable with a sampling distribution.
Is the p-value of Z a random variable?
If everything were perfect and ideal, then the p-values would be reasonable indicative. Then Z = 1.96 would indicate the same thing as p = 0.05 (assuming normality, of course). But Z is a random variable, and so is p.
How are p-values used in real life?
This particular article is that it takes p-values at face value, whereas in real life p-values typically are the product of selection, as discussed by Uri Simonson et al. a few years ago in their “p-hacking” article and as discussed by Eric Loken and myself a couple years ago in our “garden of forking paths” article.