A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, and 12th grade among students with less than a 2.0 GPA. She took a random sample of n=5 students from each grade level and compared absences among the four grades using ANOVA. 9th grade 10th grade 11th grade 12th grade 6 10 17 15 9 12 8 16 6 11 11 12 7 11 14 12 7 14 15 12 Which of the following is the appropriate statistical conclusion? According to the ANOVA, there was not a significant difference among the four grades, therefore, no post hoc tests were needed. According to the ANOVA, there was an overall significant difference among the four grades. According to the Tukey post hoc test, every grade was significantly different from every other grade. According to the ANOVA, there was an overall significant difference among the four grades. According to the Tukey post hoc test, 9th grade was significantly different from 10th, 11th, and 12th grades, but there were no significant differences between 10th, 11th, or 12th grades. According to the ANOVA, there was an overall significant difference among the four grades. According to the Tukey post hoc test, however, none of the grades were significantly different from each other.
A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, and 12th grade among students with less than a 2.0 GPA. She took a random sample of n=5 students from each grade level and compared absences among the four grades using ANOVA.
9th grade 10th grade 11th grade 12th grade
6 10 17 15
9 12 8 16
6 11 11 12
7 11 14 12
7 14 15 12
Which of the following is the appropriate statistical conclusion?
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According to the ANOVA, there was not a significant difference among the four grades, therefore, no post hoc tests were needed. |
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According to the ANOVA, there was an overall significant difference among the four grades. According to the Tukey post hoc test, every grade was significantly different from every other grade. |
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According to the ANOVA, there was an overall significant difference among the four grades. According to the Tukey post hoc test, 9th grade was significantly different from 10th, 11th, and 12th grades, but there were no significant differences between 10th, 11th, or 12th grades. |
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According to the ANOVA, there was an overall significant difference among the four grades. According to the Tukey post hoc test, however, none of the grades were significantly different from each other.
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