
Below is an ANOVA summary table for a two-factor, independent-measures study where different groups of 4 individuals were each subjected to one of the treatment conditions formed from the two levels of Factor A and the three levels of Factor B. Source SS df MSF Between 112 5 Factor A 96 1 96 Factor B 4 2 2 Ах В 12 2 6 Within Treatments 78.5 18 4.36 Total 190.5 23 Use the ANOVA summary table above and a significance level of a = 0.05 to complete the hypothesis tests below. Express your answers rounded to two decimal places. Main Effect A Hypotheses: H:HA = HAR H1: at least two means are different from each other Test Statistic: Fstata Critical Value: Ferita = Decision: o Reject the Null Hypothesis O Fail to Reject the Null Hypothesis Main Effect B Hypotheses: HUB, = B = B: Hat least two means are different from each other Test Statistic: Fstat
Critical Value: Fcrits = Decision: O Reject the Null Hypothesis O Fail to Reject the Null Hypothesis Interaction Hypotheses: Ho: there is no interactions between factors A and B Hj: there is interaction between factors A and B Test Statistic: Fstat Ax B Critical Value: Fritax Decision: O Reject the Null Hypothesis O Fail to Reject the Null Hypothesis Overall Conclusion: Select the appropriate conclusion for each of the three effects: There Select an answer v significant interaction between Factor A and Factor B.
Factor A O is not significant because there is no apparent independent effect, even though there is a significant interaction effect. O is not significant because there is no apparent independent effect or interaction effect. O is significant due to a significant interaction, even though the independent effect is not significant O is significant due to its independent effect, even though there is no apparent interaction effect. O is significant due to a significant interaction effect and independent effect. O is not significant because there is no apparent interaction effect, even though there is a significant independent effect. Factor B O is not significant because there is no apparent independent effect, even though there is a significant interaction effect. O is significant due to a significant interaction effect and independent effect. O is not significant because there is no apparent independent effect or interaction effect O is significant due to a significant interaction, even though the independent effect is not significant O is not significant because there is no apparent interaction effect, even though there is a significant independent effect. O is significant due to its independent effect, even though there is no apparent interaction effect.