A two-factor research study has 2 levels of factor A and three 3 of factor B with n = 8 participants in each treatment condition. For this study, what is the value for dfbetween treatments? a.​5b.​4c.​3d.​6

Answer :

Answer:

a.​5

Step-by-step explanation:

The computation of the value for df^{between treatments} is shown below:

According to the question, the data provided is as follows

Two levels of factor A

And, there are three of factor B

So, the total number of treatment conditions is

= 2 × 3

= 6

Now the value for df^{between treatments} is

= 6  - 1

= 5

Hence, the correct option is a.5

MrRoyal

The value for df between treatments is (a) 5

The given parameters are:

[tex]\mathbf{A = 2}[/tex] --- levels of factor A

[tex]\mathbf{B = 3}[/tex] --- levels of factor B

Start by calculating the total number of treatment conditions (n)

[tex]\mathbf{n = A \times B}[/tex]

So, we have:

[tex]\mathbf{n = 2 \times 3}[/tex]

[tex]\mathbf{n = 6}[/tex]

Calculate the degrees of freedom (df)

[tex]\mathbf{df = n - 1}[/tex]

Substitute 6 for n

[tex]\mathbf{df = 6 - 1}[/tex]

[tex]\mathbf{df = 5}[/tex]

Hence, the difference is (a) 5

Read more about degrees of freedom at:

https://brainly.com/question/8605632

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