A researcher using a group of ten subjects under four conditions repeatedly, what will be the degree of freedom for the error terms?

Correct option is B

The correct answer is 27.
To calculate the degree of freedom (df) for error terms in repeated measures ANOVA, the formula is:
df = (number of subjects - 1) × (number of conditions - 1)
Here, the number of subjects is 10, and the number of conditions is 4.
df = (10 - 1) × (4 - 1)
df = 9 × 3 = 27
Therefore, the degree of freedom for error terms is 27.

Information Booster
-The degree of freedom represents the number of values in a statistical calculation that are free to vary.
-In repeated measures, each participant experiences all conditions, so the formula accounts for the repeated nature of the design.
-The error term refers to the variability that cannot be explained by the factors (conditions) being tested and is used to compute the F-ratio in ANOVA.
-The df for error terms typically involves both the number of subjects and the number of conditions or groups to properly assess variance.
-This calculation assumes that the repeated measures are independent and the data meets the assumptions of normality.
-The calculation is crucial for determining whether the results of an experiment are statistically significant.