STAT1008 Lecture Notes - Lecture 12: Null Hypothesis, Statistic, Resveratrol

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13 Nov 2018
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Statistical significance: when results as extreme as the observed sample statistic are unlikely to occur by random chance alone (assuming the null hypothesis is true), we say the sample results are statistically significant. If the p-value is small reject null hypothesis. If the p-value is not small do not reject null hypothesis inconclusive: set with regard to the context. Generic conclusion example: the p-value if lower than =0. 05, so the results are statistically significant and we reject ho. Conclusion in context example: there is evidence that mean resting metabolic rate is higher after receiving resveratrol or the data does not provide sufficient evidence to conclude that loco motor activity changes after treatment. To determine if two values are correlated: reallocate values, calculate correlation, repeat. Randomisation distribution: best guess at the distribution of sample statistics if h0 were true, centred around null hypothesis, simulate samples assuming h0 were true.

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