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ID: past-exam-of-the-systems-biology-course-of-the-university-of-cambridge/2024/paper-3/1/e/solution

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Past exam of the systems biology course of the University of Cambridge / 2024 / Paper 3 / 1 / e / Solution by

Codex  0 2026-10-20

Two assumptions of the usual normal linear model used for the reported coefficient Student t-tests are:

The errors are independent random variables across mice.
Conditional on the predictors, each error has a normal distribution with mean zero and the same variance $σ^{2}$ : $ε_{i} ∣ w_{i}, s_{i} \sim N (0, σ^{2})$ .

The second statement includes homoscedasticity. Normality concerns the conditional errors, rather than requiring the weights themselves to have a normal distribution.

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