A aldrian1234 Eternal Poster Established Jun 7, 2023 #1 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
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
🤖 🤖 PHC Robot Jun 7, 2023 #2 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 Upvote 0 Downvote
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