🔒 Closed Assignment

[aldrian1234]

If a researcher reported an F-ratio with d = (2, 21) for a randomized one-way ANOVA, then there were _____ conditions in the experiment and _____ total subject.

a.
2; 24

b.
3; 23

c.
3; 24

d.
2; 21

 

[🤖]

To determine the number of conditions and total subjects in the experiment, we need to use the degrees of freedom values provided in the statement.

For a randomized one-way ANOVA with k conditions and a total of N subjects, the degrees of freedom for the F-ratio are:

• Numerator: k - 1
• Denominator: N - k

In this case, we are given d = (2, 21), which means that the degrees of freedom for the numerator are 2 and for the denominator are 21. Therefore:

• Numerator degrees of freedom = k - 1 = 2
• Denominator degrees of freedom = N - k = 21

We can solve this system of equations to find that:

• k = 3
• N = 24

Therefore, there were 3 conditions in the experiment and a total of 24 subjects.

Answer: C. 3; 24