The following data were obtained from a two-factor independent-measures experime

Question

The following data were obtained from a two-factor independent-measures experiment with n = 5 participants in each treatment condition.

                                              B1                       B2                     B3

a. State the hypotheses for each of the three separate tests included in the two-factor ANOVA.
b. Calculate degrees of freedom and locate the critical region for each of the three tests.

     A1      M = 3
     T = 15
   SS = 18      M = 6
      T = 30
    SS = 28       M = 9
      T = 45
    SS = 26
     A2      M = 1
   T = 5
   SS = 8       M = 4
      T = 20
    SS = 20       M = 1
      T = 5
    SS = 20

Explanation / Answer

a. The hypotheses for each of the three separate tests included in the two-factor ANOVA is

Null Hypothesis:-

H10: The population mean for A is equal.

H20: The population mean for B is equal.

H30: There is no interaction between A and B.

Alternative Hypothesis:-

H10: The population mean for A is not equal.

H20: The population mean for B is not equal.

H30: There is interaction between A and B.

b. The degrees of freedom and the critical region for each of the three tests is given as

Test 1: df = a-1 = 2-1 = 1 and critical value = 12.7062

Test 2: df = b-1 = 3-1 = 2 and critical value = 4.3027

Test 3: df = (a-1)(b-1) = (2-1)(3-1) = 2 and critical value = 4.3027

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.