For the null hypothesis to be rejected, an observed result has to be statistically significant, i.e. the observed p -value is less than the pre-specified significance level .

A significant difference refers to a result that is unlikely to have occurred by chance alone, indicating that there is a real effect or relationship present in the data being analyzed.

Aug 11, 2025 · With a larger sample, even small differences between groups or effects can become statistically significant, yielding lower p-values. In contrast, smaller sample sizes may …

Practical significance refers to the magnitude of the difference, which is known as the effect size. Results are practically significant when the difference is large enough to be meaningful in real life.

Mar 29, 2025 · In social science research, a statistically significant difference means that the results observed in a study are unlikely to be due to random chance. Instead, they likely reflect …

Nov 10, 2025 · Two studies might observe the exact same numerical difference between groups, yet one could be statistically significant while the other is not. This outcome is largely due to …

In statistical analysis, determining a significant difference involves comparing the p-value (probability value) to a predetermined significance level, usually denoted as alpha (α). If the p …

Nov 2, 2024 · Statistical significance tells us how likely it is that the results we observe are not just due to chance. It's a crucial part of interpreting test results and figuring out if there's a …

Jun 25, 2025 · What Is Statistical Significance? Researchers use statistical significance to assess the likelihood that two variables might share a causal relationship.

Understanding and interpreting significant differences is crucial in extracting valuable insights from your research data. In our next session, we’ll explore methods to draw meaningful conclusions …