In an experiment on growing sweet peas, a team of students selected 2 factors at 4 levels
Question:
In an experiment on growing sweet peas, a team of students selected 2 factors at 4 levels each and recorded Weight, Stem Length, and Root Length after 6 \ days of growth. They grew plants using various amounts of Water and Quick grow solution, a fertilizer designed to help plants grow faster. Each factor was run at 4 levels: little, some, moderate, and full. They grew 2 plants under each of the 16 conditions.
An interaction plot of Weight in mg (x-axis is Quick growing—levels are water) shows:
Because of this, a two-way ANOVA with interaction model was fit to the data, resulting in the following ANOVA table:
Residuals plots showed no violations of the variance or Normality conditions. A table of effects for Quick grows shows:
Level of Quick Grow | Effect |
Little Some Moderate Full | 213.8 97.1 -155.5 -155.5 |
A table of effects for Water shows:
Level of water | Effect |
Little Some Moderate Full | -91.1 -81.9 66.4 106.0 |
Write a report summarizing what the students have le about the effects of Water and Quick grow solution on the early stages of sweet pea growth as measured by Weight
Step by Step Answer:
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock