Asked by Carol Green on May 26, 2024
Verified
The primary interest of designing a randomized block experiment is to:
A) reduce the within-treatments variation to more easily detect differences among the treatment means.
B) increase the between-treatments variation to more easily detect differences among the treatment means.
C) reduce the variation among blocks.
D) None of these choices.
Randomized Block Experiment
An experimental design that groups subjects based on certain characteristics to reduce variation in the response variable, with random assignment within blocks.
Within-Treatments Variation
The variability observed among individuals within the same group or treatment category in an experiment.
- Understand the function of sum of squares for blocks (SSB) in minimizing variation within treatments.
Verified Answer
BL
Bella LozanoMay 31, 2024
Final Answer :
A
Explanation :
The primary goal of designing a randomized block experiment is to reduce the within-treatments variation in order to more easily detect differences among the treatment means. This is achieved by grouping similar experimental units into blocks and randomizing the treatments within each block, which helps to reduce the effects of any confounding variables that may be present. By doing so, the treatment effects can be more accurately measured and compared.
Learning Objectives
- Understand the function of sum of squares for blocks (SSB) in minimizing variation within treatments.