Understanding One-Way ANOVA: Key Concepts and Applications

 When is it appropriate to use a one-way ANOVA to analyze data? Selected Answer: When one has to compare two or more groups with respect to their means. Correct Answer: When comparing the means of three or more independent groups  Question 2 What letter is used the designate the test statistic used in the one-way ANOVA? Selected Answer: F Correct Answer: F  Question 3 What are the two types of variance that are examined when conducting an analysis of variance? Selected Answer: One-way Anova and two-way Anova Correct Answer: Between groups and within groups  Question 4 Which type of variance is related to the effect of a treatment? Selected Answer: Between Subjects Sum of Squares Correct Answer: Between groups  Question 5 Does the analysis of variance test differences between two specific groups? Selected Answer: No

Correct Answer: No. It determines whether a difference exists among the three or more groups but does not specify which groups are different.  Question 6 Write an appropriate null hypothesis for this analysis. Selected Answer: There is no significant differentiation between samples. Correct Answer: There will be no statistically significant difference among the three activity level groups with respect to exam scores.  Question 7 What is the observed or computed value of F? Selected Answer: 33.76 Correct Answer: F = 33.76  Question 8 How would you explain the procedure for determining the degrees of freedom for the Between Groups variance (numerator)? Selected Answer: 1. k-1=3-1=2 Correct Answer: The number of groups minus 1  Question 9 How would you explain the procedure for determining the degrees of freedom for the Within Groups variance (denominator)? Selected Answer: The degree of freedom within the sample is n-k=30-3=27

Correct Answer: The number of subjects minus the number of groups  Question 10 What is the the value of the Between Groups degrees of freedom? Selected Answer: 3 Correct Answer: 2 (3 groups - 1 = 2)  Question 11 What is the value of the Within Groups degrees of freedom? Selected Answer: 27 Correct Answer: 27 (30 subjects - 3 groups = 27)  Question 12 What is the reported level of significance? Selected Answer: .001 Correct Answer: p = .000  Question 13 Based on the reported level of significance, would you reject the null hypothesis? Selected Answer: Null hypothesis is rejected. Correct Answer: Yes  Question 14

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Based on the reported level of significance, would you conclude that there was a statistically significant difference among the three groups? Selected Answer: There is statistically significant difference among the groups. Correct Answer: Yes  Question 15 Write a statement as it might appear in an article that reports the results of the one-way ANOVA. Selected Answer: The ANOVA results indicate a statistically significant difference, F(2,27)=33.76, p <.001 exists between the three groups. Correct Answer: The results of the one-way analysis of variance indicated that a statistically significant difference, F(2, 27) = 33.76, p < .001, exists among the three groups.  Question 16 I have submitted responses to all of the questions in this exercise. Selected Answer: True Correct Answer: True Monday, February 5, 2024 10:38:23 PM  Write an appropriate null hypothesis for this analysis. Selected Answer: There is no statistically significant difference between groups. Correct Answer: There will be no statistically significant difference among the three brands of medication with respect to the number of days before symptoms cease.  Question 2

What is the mean number of days it takes for symptoms to cease for each brand? Selected Answer: X=22.42 Y=16.33 Z=17.58 Correct Answer: M = 22.42 for Brand X M = 16.33 for Brand Y M = 17.58 for Brand Z  Question 3 What is the standard deviation of the number of days it takes for symptoms to cease for each brand? Selected Answer: X=5.60 Y=6.53 Z=4.25 Correct Answer: SD = 5.60 for Brand X SD = 6.53 for Brand Y SD = 4.25 for Brand Z  Question 4 What is the observed or computed value of F? Selected Answer: 4.037 Correct Answer: F = 4.037  Question 5 What are the reported degrees of freedom for the Between Groups variance? Selected Answer: 2 Correct Answer: df = 2  Question 6 What are the reported degrees of freedom for the Within Groups variance? Selected Answer: 33 Correct Answer: df = 33  Question 7 What is the reported level of significance? Selected Answer: .027 Correct Answer: p = .027  Question 8 Based on the reported level of significance, would you reject the null hypothesis? Selected Answer: No, because it is > .05

Correct Answer: Yes  Question 9 Based on the reported level of significance, would you conclude that there was a statistically significant difference among the three groups? Selected Answer: yes Correct Answer: Yes  Question 10 Write a statement as it might appear in an article that reports the results of the one-way ANOVA. Selected Answer: There is a statistically significant difference in the one-way ANOVA. F(2,27)= 4.037 p< .027 exists among the three groups Correct Answer: The results of the one-way ANOVA indicated a statistically significant deifference, F(2,33) = 4.037, p = .027, among the three brands of medication with respect to the number of days before symptoms ceased.  Question 11 I have submitted responses to all of the questions in this exercise. Selected Answer: True Correct Answer: Tru e Monday, February 5, 2024 10:

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