This assignment will address a one way ANOVA between the variables of section and guiz 3 from the grades.sav data sample
Data File Description
1. The context of the data set is based on a sample size of 105 students that states their first and last names and are assigned separate id numbers. The sample contains variables that include the variables to be addressed in this assignment.
2. The variables used in this are section and quiz 3. The section variable, or the predictor variable has a nominal scale with 1, 2, and 3. The quiz 3 variable, or the outcome variable, uses a ratio scale of measurement for each variable.
3. The sample size of the data consists of 105 students who range from first year to fourth year in college.
Testing Assumptions
1. …show more content…
Between Groups 43.652 2 21.826 4.305 .016
Within Groups 517.110 102 5.070
Total 560.762 104
The one way ANOVA reports the degrees of freedom as the following:
• Between groups df = N (total number of sample groups)-1 = 2
• Within groups df = N (total number of sample groups)- total number of subjects (105) = 102
• Total df = total number of subjects (105) – 1 = 104
The P value of .016 yields that it is greater than .005, therefore not providing any information that the data of the means differ.
The F value of 4.305 yields that the null hypothesis is rejected and that the random sampling ended up with large values in some groups and small values in other groups.
Calculated Effects:
• Between groups: .078 (rounded to .01) = 52% tile rank
• Within groups: .922 = 84% tile rank
Multiple Comparisons
Dependent Variable: quiz3
Tukey HSD
(I) section (J) section Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval Lower Bound Upper Bound
1 2 1.385* .533 .029 .12 2.65 3 1.394* .554 .036 .08 2.71
2 1 -1.385* .533 .029 -2.65
Data File Description
1. The context of the data set is based on a sample size of 105 students that states their first and last names and are assigned separate id numbers. The sample contains variables that include the variables to be addressed in this assignment.
2. The variables used in this are section and quiz 3. The section variable, or the predictor variable has a nominal scale with 1, 2, and 3. The quiz 3 variable, or the outcome variable, uses a ratio scale of measurement for each variable.
3. The sample size of the data consists of 105 students who range from first year to fourth year in college.
Testing Assumptions
1. …show more content…
Between Groups 43.652 2 21.826 4.305 .016
Within Groups 517.110 102 5.070
Total 560.762 104
The one way ANOVA reports the degrees of freedom as the following:
• Between groups df = N (total number of sample groups)-1 = 2
• Within groups df = N (total number of sample groups)- total number of subjects (105) = 102
• Total df = total number of subjects (105) – 1 = 104
The P value of .016 yields that it is greater than .005, therefore not providing any information that the data of the means differ.
The F value of 4.305 yields that the null hypothesis is rejected and that the random sampling ended up with large values in some groups and small values in other groups.
Calculated Effects:
• Between groups: .078 (rounded to .01) = 52% tile rank
• Within groups: .922 = 84% tile rank
Multiple Comparisons
Dependent Variable: quiz3
Tukey HSD
(I) section (J) section Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval Lower Bound Upper Bound
1 2 1.385* .533 .029 .12 2.65 3 1.394* .554 .036 .08 2.71
2 1 -1.385* .533 .029 -2.65