Probabilistic Nature of Statistics

Trade-off Between Sample Size and Relationship Strength

Practical Significance

In the context of inferential statistics, what does it mean when a research finding is described as statistically significant?

In psychological research, if a finding is described as statistically significant, it implies that the observed effect is likely to be a genuine phenomenon rather than a product of random variation.

A psychological researcher is evaluating the results of several different studies. Match each specific research scenario with the correct statistical interpretation regarding significance and the nature of the findings.

A psychologist is evaluating whether a new study on social interaction reveals a real phenomenon or just a fluke. Arrange the logical stages of the researcher's analytical process to correctly conclude that a finding is statistically significant.

Match each term related to the interpretation of research results with its correct defining characteristic.

Example of Sample Size and Relationship Strength

A researcher reports that a new study-skills training program led to a statistically significant increase in exam scores compared to a control group. What does it mean for this finding to be 'statistically significant'?

A researcher claims that a research finding is 'proven' because the probability of the results occurring by random chance alone is only $0.001$. A peer reviewer evaluates this claim and suggests a more scientifically accurate term, noting that the finding should instead be described as _____ to indicate that it is highly unlikely to have occurred due to random variation while avoiding the overstatement of absolute proof.