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Question

Write short notes in 150 words:
Tests of significance

This question was previously asked in
UPSC CSE 2025 (Prelims) CSAT Official Paper (25-May-2025)

Tests of significance are statistical tools used to determine if an observed difference or relationship between datasets is likely a genuine effect or merely due to random chance. At their core, these tests involve formulating a null hypothesis (H0), which assumes no effect or difference, and an alternative hypothesis (H1), which proposes an effect. Researchers collect data and calculate a test statistic, which is then used to derive a p-value. The p-value represents the probability of obtaining the observed results, or more extreme ones, if the null hypothesis were true. If the p-value falls below a pre-determined significance level (alpha, typically 0.05 or 0.01), the null hypothesis is rejected. This indicates that the observed result is statistically significant, suggesting that the difference or relationship is unlikely to be coincidental and warrants further investigation or conclusion. Common examples include t-tests for comparing means, ANOVA for multiple groups, and chi-square tests for categorical data. They are crucial for drawing reliable conclusions from experimental and observational studies in biology.

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