Step 1: Understanding randomization.
Randomization is the process of allocating experimental treatments to experimental units in a random manner.
It ensures that every unit has an equal chance of receiving any treatment.
Step 2: Purpose.
The main purpose of randomization is to eliminate bias and distribute the effect of uncontrolled variables evenly across treatments.
This minimizes experimental error and increases the reliability of results.
Step 3: Checking options.
- (1) Minimize Error: Correct, randomization helps control and reduce bias/error.
- (2) Determine Variance: Wrong, variance is estimated later through analysis of data.
- (3) Capture Coefficient of Variation: Wrong, this is a measure of relative variability.
- (4) Measure Critical Difference: Wrong, CD is derived from statistical tests, not randomization.
Step 4: Conclusion.
Hence, the purpose of randomization in a field experiment is to minimize error.