# What does it mean if two treatments are said to be significantly different?

## What does it mean if two treatments are said to be significantly different?

statistically significant difference
A difference between treatments which is very unlikely to be due to chance – ‘a statistically significant difference’ – may have little or no practical importance.

## What does it mean to say there is a statistically significant difference between groups?

A Significant Difference between two groups or two points in time means that there is a measurable difference between the groups and that, statistically, the probability of obtaining that difference by chance is very small (usually less than 5\%).

How do you tell if there is a significant difference between two groups?

If the means of the two groups are large relative to what we would expect to occur from sample to sample, we consider the difference to be significant. If the difference between the group means is small relative to the amount of sampling variability, the difference will not be significant.

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Can two means be different but not significantly different?

It is easy to claim two measurements are not significantly different even when they are. Conversely, comparing measurements with standard errors or standard deviations will also be misleading, as standard error bars are shorter than confidence interval bars.

### What does not significantly different mean?

This means that the results are considered to be „statistically non-significant‟ if the analysis shows that differences as large as (or larger than) the observed difference would be expected to occur by chance more than one out of twenty times (p > 0.05).

### What does increased significantly mean in a statistical sense?

Key takeaways. Statistical significance refers to the claim that a result from data generated by testing or experimentation is likely to be attributable to a specific cause. If a statistic has high significance then it’s considered more reliable.

When a difference between two groups is statistically significant This means that quizlet?

When a difference between two groups is statistically significant, this means that… the difference is not likely to have occurred on its own, without the benefit of the independent variable. A sample average can be used to estimate a population average with greater precision if the sample is… large.

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Are two data sets statistically different?

Most recent answer You can run statistical comparison (for instance using paired sample ttest) if p value is less than 0.05, the two dataset are different.

#### How do you compare two groups?

When comparing two groups, you need to decide whether to use a paired test. When comparing three or more groups, the term paired is not apt and the term repeated measures is used instead. Use an unpaired test to compare groups when the individual values are not paired or matched with one another.

#### What does not significantly significant mean?

When you find significant differences but true significant difference do not exist what type of error have you committed?

You can decrease your risk of committing a type II error by ensuring your test has enough power. You can do this by ensuring your sample size is large enough to detect a practical difference when one truly exists.

Is there a significant difference between groups 1 and 2?

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Many scientists would view this and conclude there is no statistically significant difference between the groups. After all, groups 1 and 2 might not be different – the average time to recover could be 25 in both groups, for example, and the differences only appeared because group 1 was lucky this time.

## When the between group variances are the same the mean differences?

When the between group variances are the same, mean differences among groups seem more distinct in the distributions with smaller within group variances (a) compared to those with larger within group variances (b). Therefore the ratio of between group variance to within group variance is of the main interest in the ANOVA.

## Does a difference in significance always make a significant difference?

It seems to make sense. However, a difference in significance does not always make a significant difference. 22 One reason is the arbitrary nature of the p < 0.05 cutoff.

What is the meaning of significantly different in statistics?

Coming to your question…. ‘Significantly different’ always means the same. i.e., the difference found in ‘whichever situation you are performing the test’ is NOT just by chance alone under the test conditions and with that particular sample.