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!
The basic idea is that the final result should not be - or rather, appear to be - more accurate than the original numbers. Therefore, the final result should not have more significant digits than the original numbers you multiply or divide. For example, if one factor has 3 significant digits, and the other 5, round the final result to 3 significant digits.
The number of significant figures should be equal to the significant figures in the least precise measurement.
The product is 67.30879 which means it has 7 significant figures
20.6 is the result.
The least number of significant figures in any number of the problem determines the number of significant figures in the answer.
"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
Correlation analysis. But you will need a lot more knowledge of statistics before you can decide whether the result is [statistically] significant or not, and if it is, what that means.
You make assumptions about the nature of the distribution for a set of observations and determine a pair of competing hypotheses - a null hypotheis and an alternative. Based on the null hypothesis you devise a test for a statistic that is based on the observations. Assuming the null hypothesis is true, if the probability of observing a test statistic that is at least as extreme as the one obtained is smaller than some pre-determined level (that is, if the observations are very unlikely under the null hypothesis) then the result is said to be statistically significant. This does not automatically imply managerial significance since, among other factors, the latter must take account of the consequences (costs) of making the wrong decision.
create hypthesis, determine testing method to evaluate and threshold needed to surpass to consider result valid in the sense of the hypothesis, test statistically significant, compare result to threshold defined, if under: drop hypothesis, if equal or above: accept as correct
For a given experiment, and a given sample size, there is a probability that a treatment effect of a given size will yield a statistically significant finding. That is, if the treatment effect is 1 unit, then that probability (the power) might be 50%, and the power for a treatment effect of 2 units might be 75%, etc. Unfortunately, before the experiment, we don't know the treatment effect size, and indeed after the experiment we can only estimate it. So a statistically significant result means that, whatever the treatment effect size happens to be, Mother Nature gave you a "thumbs up" sign. That is more likely to happen with a large effect than with a small one.
The uncertainty principle is significant for subatomic particles because their small masses and energies result in significant quantum effects. These effects are negligible for macroscopic objects due to their large masses and energies, which make their quantum uncertainties practically insignificant in comparison.
A figure is considered significant if it represents a statistically meaningful result, typically determined by comparing it to a threshold value (e.g., p < 0.05). Significance indicates that the observed difference or relationship between variables is unlikely to have occurred by chance. Conducting statistical tests such as t-tests or ANOVAs can help determine the significance of a figure.
The F distribution is a function defined over non-negative real numbers, and it takes all sorts of values over that domain. In isolation, none of the values mean anything. An F-test, is a test based on the ratio of two variances from [approximately] normal distributions and a full interpretation requires information about the degrees of freedom. The degrees of freedom determine how much greater than 1 the value of the F-statistics can be before the result is statistically significant. However, a value near 1, such as this will not be statistically significant.
As a result of the rule that you use the definition of the term - such as significant digits - when finding them for a number.
32.2
The westward expansion was the most significant result of the Louisiana Purchase in America. The purchase was made in 1803.