Problem9 You conduct the ANOVA for a single-factor within-subjects experiment fo

Question

Problem9 You conduct the ANOVA for a single-factor within-subjects experiment for the data shown in the table below. You enter the data into SPSS and you find that the p-value is smaller than 0.001. You want to check whether or not the p-value is correct. Therefore, you conduct the ANOVA by hand using the mean sum of square values from the SPSS output: MS(between)-13.4, MS(error)-0.15 Participant ID Condition 1 Condition 2 Condition 3 2.0 3.0 0.5 2.0 4.0 S2 S3 S4 S5 3.5 4.0 5.0 0.5 2.0 a) Determine the degrees of freedom for the between-group variability df(between). Determine the degrees of freedom of the error term: df(error) b) Determine the critical F value for a significance level of 5%. Report the critical F value with 2 digits after the decimal point. c) Calculate the observed F value. Report the observed F with 2 digits after the decimal point. d) According to your by-hand calculation, are the treatment conditions significant at a significance level of 5%. Explain your answer Two Factors ANOVA Problem 10 You have a 2x2 factorial design with factor A and factor B. Factor A has levels al and a2. Factor B has levels bl, b2. The means plot is shown here 3.5 2.5 b1 a2 Answer the following questions Is there a main effect of factor A? Is there a main effect of factor B? e Is there an interaction effect? Explain why or why not there is an effect. If there is an effect, explain what is the effect doing?

Explanation / Answer

Providing 1st question answer in detailed as per Chegg guidelines

1)

a) Df for between groups = 3 - 1 = 2

df for with the groups = 15 - 3 = 12

b) F critical value = 3.89 on (2,12) df at 5% level

c) Observed F value = MS(between) / MS(error) = 13.4/0.15 = 89.33

d) Decision rule : If p value < 0.05, then reject H0

p value = 0.0000 < 0.05, reject H0

we conclude that there is siginificant difference betweeen 3 groups

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