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HomeHomework HelpstatisticsStatistical Significance

Statistical Significance

A concept in statistical hypothesis testing that indicates whether an observed effect is due to chance or if it reflects a real underlying pattern, often determined by p-values and used to make inferences about a population based on sample data

intermediate
2 hours
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Overview

Statistical significance is a fundamental concept in statistics that helps researchers determine whether their findings are likely due to chance or represent a true effect. It is primarily assessed using p-values, which indicate the probability of observing the data under the null hypothesis. A low ...

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Key Terms

p-value
The probability of obtaining results at least as extreme as the observed results, assuming the null hypothesis is true.

Example: A p-value of 0.03 indicates a 3% chance of observing the data if the null hypothesis is true.

null hypothesis
A statement that there is no effect or no difference, used as a starting point for hypothesis testing.

Example: The null hypothesis might state that a new drug has no effect on patients.

alternative hypothesis
The hypothesis that there is an effect or a difference, opposing the null hypothesis.

Example: The alternative hypothesis states that the new drug does have an effect on patients.

confidence interval
A range of values that is likely to contain the true population parameter with a specified level of confidence.

Example: A 95% confidence interval for a mean might be (10, 15), suggesting the true mean is likely between these values.

Type I error
The error of rejecting the null hypothesis when it is actually true.

Example: Concluding a drug is effective when it is not is a Type I error.

Type II error
The error of failing to reject the null hypothesis when it is false.

Example: Not detecting an effect of a drug when it actually works is a Type II error.

Related Topics

Hypothesis Testing
The process of making decisions about the population based on sample data.
intermediate
Regression Analysis
A statistical method for examining the relationship between variables.
advanced
ANOVA
Analysis of variance, a method for comparing means across multiple groups.
advanced

Key Concepts

p-valuenull hypothesisalternative hypothesisconfidence interval