In: Statistics and Probability
What does it mean for a hypothesis test to be statistically significant? How is this different from our everyday notions of “significant”? Make sure that you respond to your classmates as well.
Stastically Significant:
To declare statistical significance, we need to determine whether the size of the difference is meaningful. We determine significant by accounting variation and target value with respect to some error ( we known as level of significane).
Statistical significance is a determination about the null hypothesis, which hypothesizes that the results are due to chance alone. A data set provides statistical significance when the p-value is sufficiently small.
1)Statistical significance is the likelihood that a relationship between two or more variables is caused by something other than chance.
2)Statistical significance is used to provide evidence concerning the plausibility of the null hypothesis, which hypothesizes that there is nothing more than random chance at work in the data.
3)Statistical hypothesis testing is used to determine whether the result of a data set is statistically significant.
How stastical significant is different from our everday significant:
Statistical significance does not mean practical significance.
The word “significance” in everyday usage connotes consequence and noteworthiness.