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Mathematics · unit version 1

Generalized linear models: fitting and evidence

Specify grouped-binomial and Poisson responses, derive vector fitting steps, distinguish finite existence from bounded computation, and audit conditional uncertainty and frozen checks.

Open any lesson. Completion records participation; automatic practice checks and human judgment of written arguments are separate. This unit retains its own versioned requirements.

Readiness and preparation

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GLM specification, computation and evidence

The mixed assessment has separate response history and review criteria; it does not change lesson participation records.

Lesson sequence

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  1. Response families and link scales

    Lesson details and objectives

    Response families and link scales. Derive, calculate and qualify a fitted response model.

    • Connect response support, design and a conditional probability model.
    • Show intermediate calculations and prove the relevant general statement.
    • Report numerical and inferential limitations separately.

    6 practice tasks.

  2. Score, information and IRLS

    Lesson details and objectives

    Score, information and IRLS. Derive, calculate and qualify a fitted response model.

    • Connect response support, design and a conditional probability model.
    • Show intermediate calculations and prove the relevant general statement.
    • Report numerical and inferential limitations separately.

    6 practice tasks.

  3. Bounded fitting and finite existence

    Lesson details and objectives

    Bounded fitting and finite existence. Derive, calculate and qualify a fitted response model.

    • Connect response support, design and a conditional probability model.
    • Show intermediate calculations and prove the relevant general statement.
    • Report numerical and inferential limitations separately.

    6 practice tasks.

  4. GLM uncertainty and model checks

    Lesson details and objectives

    GLM uncertainty and model checks. Derive, calculate and qualify a fitted response model.

    • Connect response support, design and a conditional probability model.
    • Show intermediate calculations and prove the relevant general statement.
    • Report numerical and inferential limitations separately.

    6 practice tasks.