11 Multivariate Models

Learning Objectives

By the end of this chapter, you will be able to:

Write the multivariate MME using the Kronecker product
Solve a two-trait model by hand with equal design matrices
Handle missing records and unequal design matrices
Explain how genetic correlation moves information between traits
Describe how dimension reduction makes many-trait models tractable

Assumes Ch 6, Ch 1 (§1.7).

Chapter in progress

This chapter has not been written yet. The objectives above are the contract it will be written against — they are taken from CHAPTERS.md, which is the outline for the whole book.

Purpose. Several traits at once; the Kronecker product earns its keep.

---
title: "Multivariate Models"
---

::: {.callout-note icon=false}
## Learning Objectives

By the end of this chapter, you will be able to:

1. **Write** the multivariate MME using the Kronecker product
2. **Solve** a two-trait model by hand with equal design matrices
3. **Handle** missing records and unequal design matrices
4. **Explain** how genetic correlation moves information between traits
5. **Describe** how dimension reduction makes many-trait models tractable
:::

*Assumes Ch 6, Ch 1 (§1.7).*

::: {.callout-warning}
## Chapter in progress

This chapter has not been written yet. The objectives above are the contract it will be written
against — they are taken from `CHAPTERS.md`, which is the outline for the whole book.

**Purpose.** Several traits at once; the Kronecker product earns its keep.
:::