Compare and rank

Main-effects plot

Shows average or model-adjusted responses at each factor level.

  • Plot
  • Effect comparison
  • Comparison

What it answers

How does response differ across each factor's levels?

Shape
Response summaries by factor level
What it shows
Main differences across factor levels.

Example

The question

Which factors move delivery time the most?

Average delivery days by level of each factor (main effects plot)

Average delivery days by level of each factor (main effects plot)One panel per factor, joining the average at each level; the dashed line is the overall average of 3.9 days. Carrier has the steepest line (3.2 against 4.6 days), day of week the flattest.Average delivery days33.544.55ABCarrierCityRuralRegionSmallLargeSizeMonFriDay
Average delivery days by level of each factor (main effects plot)One panel per factor, joining the average at each level; the dashed line is the overall average of 3.9 days. Carrier has the steepest line (3.2 against 4.6 days), day of week the flattest.Average delivery days33.544.55ABCarrierCityRuralRegionSmallLargeSizeMonFriDay
One panel per factor, joining the average at each level; the dashed line is the overall average of 3.9 days. Carrier has the steepest line (3.2 against 4.6 days), day of week the flattest.

Illustrative data. It belongs to no company.

When to use it

Use it when

Factorial exploration and model summaries.

Avoid it when

Confounding or interactions hidden behind a single average effect.

How to read it

Compare level summaries within each factor and verify raw/adjusted meaning.

Note

Distinguish raw means from adjusted estimates.

The data you need

Layout
Long table
Fields
Factor: text; Level: category; Response: number
One row is
One response assigned to a factor level, or a precomputed level estimate. What is the grain?
Rules
Specify raw mean versus adjusted estimate. In multifactor raw data, use one column per factor and a response column.
Optional
Precomputed alternative: Factor,Level,Estimate,Lower,Upper.
Preparation
Calculate raw or model-adjusted level estimates, distinguishing main effects from interaction-dependent differences.
Units
Use the measured variable's stated unit consistently. No denominator is implied unless the value is a rate or proportion.
Example of the input layout: Long tableA long table: one row per observation, few columns. New data adds rows.FactorLevelResponseAABBC
A long table: one row per observation, few columns. New data adds rows.

Worked example

Low responses 10,12 average 11; High 18,20 average 19. Raw mean difference is 8; adjusted effects may differ.

FactorLevelResponse
TemperatureLow10
TemperatureLow12
TemperatureHigh18