if it is unlikely to have happened by chance
Computing F-ratioThe F-ratio is used to determine whether the variances in two independent samples are equal. If the F-ratio is not statistically significant, you may assume there is homogeneity of variance and employ the standard t-test for the difference of means. If the F-ratio is statistically significant, use an alternative t-test computation such as the Cochran and Cox method.
Yes!
Statistically significant is the term used to define when two data are distinct enough in value as to be considered different values. To determine whether two data are close enough in value or distinct enough in value to be considered the same or different, usually you have to do a p-test or a t-test, depending on the type of data that you are looking at. Then confer with the corresponding chart for the test that you did to see whether or not the data is statistically significant.
Data is statistically significant if the p (probability) value is below a certain level (ex: 5% or 1%). The p value describes how often one would receive the results they got if left to chance alone. The lower the p value, the less likely it is that your results were due to chance and is stronger evidence against the null hypothesis. Also important to keep in mind is that just because something is statistically significant does not mean it is practically significant.
"Statistically significant" means that the result is beyond the element of chance.
A result is statistically significant if:it is unlikely to have occurred by chance
No, it is not.
if it is unlikely to have happened by chance
A number, by itself, cannot be statistically significant. It is necessary to know what the underlying statistical distribution for that number is. That information can be obtained from knowledge of the statistical test being carried out.
You buy a thousand lottery tickets (different numbers) and win nothing. That is statistically significant because the chances of that happening purely by chance are pretty slim. But if the lottery is operated properly, the result is not practically significant. There is nothing that can be done. Tough!
There is nothing particularly significant about a sample size of 30.
A bar chart, line graph or a scatter gram for the line of best fit
This question lacks the details to make any judgement.
Computing F-ratioThe F-ratio is used to determine whether the variances in two independent samples are equal. If the F-ratio is not statistically significant, you may assume there is homogeneity of variance and employ the standard t-test for the difference of means. If the F-ratio is statistically significant, use an alternative t-test computation such as the Cochran and Cox method.
Yes!
Those that are statistically significant.