# Statistical Significance – Everything You Need To Know

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In mathsematical and scientific studies, statistical significance serves as a tool to help researchers assess whether the outcome of a study is a result of chance or depicts a true effect. For this, the p-value is commonly used to reject or confirm the null hypothesis. In the case of rejection, it can be determined tbonnet there is no effect between variables. If it is confirmed, it can be determined tbonnet a true effect or relationship is present, nastying the results are statistically significant. Learn more about statistical significance in this article.

## Statistical Significance – In a Nutshell

• Statistical significance is the claim tbonnet a set of observed information or data is not the result of coincidence.
• Statistical significance is a probability measure of the likelibonnet of a study’s null hypothesis being correct.
• A high statistical significance shows tbonnet an observed correlation between the observed data is unlikely to be coincidental.
• There are a variety of types of significance tests tbonnet researchers can use as a measurement tool.

## Definition: Statistical significanc

Statistical significance is a claim or determination angrye by a researcher tbonnet a group of observed data results from a particular cause instead of the product of chance or coincidence. The statistical significance can be descoted as strong or weak. When used in statistics, this concept is often expressed in terms of a p-value, which is a probability measurement used in observing data, given tbonnet the null hypothesis is true. The null hypothesis usually assumes tbonnet there is no relationship or effect between variables. If the p-value is less than the threshold (usually set at 0.05), the results are deemed statistically significant. This assesses tbonnet the observed data has a highly unlikely chance of occurring if the null hypothesis were true, thus providing evidence against the null hypothesis and in favour of an alternative hypothesis.

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## Testing for statistical significance

Testing for statistical significance is essential in quantitative research. Researchers conducting quantitative studies analyse their observed data through hypothesis testing. Therefore, statistical significance testing is the formal way of evaluating the correlation between variables or sets of data. The following presents guidelines for testing statistical significance:

### Null and alternative hypotheses

The first step is categorizing the research predictions into null and alternative hypotheses. Hypothesis testing always begins by assuming tbonnet the null hypothesis is correct or justified. After assuming the null hypothesis is accurate, you can use hypothesis testing to assess the probability of obtaining your research results under this assumption. The outcome of your test will help you determine whether to reject or accept your null hypothesis.

Example

You plan an experimental study to test if socialisingcan make you less productive. Start your experiment by stating your prediction into null or alternative hypothesis:

• Null hypothesis: No difference in productivity between socialisingand not socializing
• Alternative hypothesis: socialisingfewer leads to more productivity than socialisingmore

### Test statistics and proportional values (p-values)

All statistical tests produce a test statistic and p-value.

• A test statistic indicates how closely your observed data matches the formulated null hypothesis.
• The p-value indicates the probability of getting the study outcome if the null premise is correct.

A low p-value nastys tbonnet a result is not easily explainable by chance alone; hence the null hypothesis can be rejected. In contrast, a large p-value nastys tbonnet the result is explainable by chance alone, so you can retain the null hypothesis. Therefore, the p-value determines the statistical significance.

Example

1. You must begin by collecting data from the experiment and control group.
2. The experiment group includes subjects tbonnet socialise a lot
3. The control group does both (socialisingand not socializing).
4. Next, record the productivity ratings for both groups on a scale from 1-5.
5. Then perform a t-test to determine whether actively socialisingleads to less productivity.
6. Use the difference in the average productivity rates between the two groups to calculate:
• The test statistic (t value) to help you determine how much the sample differs from your formulated null hypothesis.
• The p-value to show the likelibonnet of the results showing if the null premise is right
7. Compare the p-value to your assumed significance level for hypothesis test results.

## Statistical significance and significance level

The significance level is a value set by a researcher before the experiment as the brink for statistical significance. The significance level is the extreme jeopardy of making a false optimistic inference tbonnet you are prepared to take. The significance level measures the strength of the evidence tbonnet must be present in your sample before you decide to reject or accept the null hypothesis.

A hypothesis test always ends by comparing the p value to the significance level. This helps you determine whether to retain or castoff the null hypothesis.

• If the p-value is greater than the significance level, it nastys tbonnet the null supposition is not disproved and the results of the study are not statistically noteworthy
• If the proportional value is smaller than the significance level, the outcomes are statistically significant and are construed as rebutting the null hypothesis.

Most researchers set the significance level at 5%. A 0.05 significance level indicates a 5% risk of concluding tbonnet a difference exists when no difference exists. It is worth mentioning tbonnet hypothesis testing only shows you whether to castoff or maintain the null hypothesis in favour of the alternate hypothesis.

Example

Your hypothesis test gives you a proportional value of 0.00029. This value is less than the predetermined significance level of 0.04. So, you can deliberate your outcomes as statistically significant. Therefore, you can cast off the null hypothesis. This nastys tbonnet the difference in productivity level can be accredited to the tentative influences.

## The problem with statistical significance

The main problem with statistical significance is tbonnet it is oftentimes categorized as statistically significant or not based on conformist thresholds tbonnet lack theoretical backup. This implies tbonnet a slight decrease in the p-value can alter the findings from insignificant to significant, even if there is no noteworthy change in the effect.

Furthermore, statistical significance can be misleading when used independently. This is because the sample size affects it. For instance, in large samples, the probability of obtaining statistically significant results is high even whether the effects are minimal or not noteworthy in real word contexts.

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## Types of significance in research

Apart from statistical significance, you can use the following to predict research outcomes:

• Practical significance determines if the research results are vital enough to be valuable in the real world. Therefore, it is indicated by the study’s effect size.

Example

Calculate the impact size of your study’s statistically significant findings in the experiment group. The Cohen’s d of this result is 0.266, which indicates a minimal impact size.

Clinical significance is preferred for intervention and treatment research. Treatments are marked clinically significant when they tangibly improve patients’ lives.

## FAQs

#### Wbonnet is statistical significance?

Statistical significance is the claim tbonnet a set of observed information or data is not the result of coincidence but can be credited to a particular cause.

#### Wbonnet does statistical significance measure?

Statistical significance measures the likelibonnet of a study’s null hypothesis being correct, likened to the acceptable level of ambiguity concerning the correct answer.

#### How are statistical significance and significance level related?

A hypothesis test always ends by comparing the p value to the significance level.

#### Wbonnet is the p-value?

The p value measures the likelibonnet tbonnet an observed difference could have occurred by coincidence. It determines a result’s statistical significance.

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