# ANOVA Between The Variables Of Section And Guiz 3 From The Grades

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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

1.576 2 102 .212

The significance level from the Levene’s test yield that the variability in the two conditions is not significantly different, as the significance level is greater than .05.

3. Overall, the assumptions have been met. The descriptive data interpretation of a negative, skewness and positive kurtosis yields that the variance is skewed, and the p-value of .001 yields that the data is from a normal distribution.

Research Question, Hypotheses, and Alpha Level

1. Is there a significant difference between the sections and quiz 3?

2. The null hypothesis: there will be no observed effect

The alternative hypothesis: that there will be a significant difference between the sections and quiz 3

3. α= .05 (5%)

Interpretation

1.

The interpretation of the mean plot is that there are shifts in location between each section. Section one has the greatest magnitude and the greatest shift is between section 1 and 2. The shift from section 2 to 3 is minimal, but visually apparent. Therefore, section one has the higher mean, then section 2, and lastly section 3.

Descriptives quiz3 N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Minimum Maximum Lower Bound Upper

There is also a very likely probability that sections 2 and 3 results were due to chance, as the significance level is greater than .05.

Conclusion

1. The conclusion of the research question, is there a significant difference between section levels and quiz 3, is that the null hypothesis can be accepted as the statistical data supports the null hypothesis. Based on the one way ANOVA, the significance between the three levels were due to chance and that there was a negative kurtosis stating that the variables are skewed. The post hoc test yielded that the results were likely due to chance for sections two and three. 2. The strengths of the one way ANOVA is that it allows one to compare multiple comparisons between two or more means. The ANOVA is less time consuming than a t-test and also can be used for analyses of comparative experiments. The limitations of the ANOVA are that we must assume that all population means from each data group must be equal, and all variances from each data group must be equal. It is very rare that we can have the pleasure of seeing this in

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

*…show more content…*1.576 2 102 .212

The significance level from the Levene’s test yield that the variability in the two conditions is not significantly different, as the significance level is greater than .05.

3. Overall, the assumptions have been met. The descriptive data interpretation of a negative, skewness and positive kurtosis yields that the variance is skewed, and the p-value of .001 yields that the data is from a normal distribution.

Research Question, Hypotheses, and Alpha Level

1. Is there a significant difference between the sections and quiz 3?

2. The null hypothesis: there will be no observed effect

The alternative hypothesis: that there will be a significant difference between the sections and quiz 3

3. α= .05 (5%)

Interpretation

1.

The interpretation of the mean plot is that there are shifts in location between each section. Section one has the greatest magnitude and the greatest shift is between section 1 and 2. The shift from section 2 to 3 is minimal, but visually apparent. Therefore, section one has the higher mean, then section 2, and lastly section 3.

Descriptives quiz3 N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Minimum Maximum Lower Bound Upper

*…show more content…*There is also a very likely probability that sections 2 and 3 results were due to chance, as the significance level is greater than .05.

Conclusion

1. The conclusion of the research question, is there a significant difference between section levels and quiz 3, is that the null hypothesis can be accepted as the statistical data supports the null hypothesis. Based on the one way ANOVA, the significance between the three levels were due to chance and that there was a negative kurtosis stating that the variables are skewed. The post hoc test yielded that the results were likely due to chance for sections two and three. 2. The strengths of the one way ANOVA is that it allows one to compare multiple comparisons between two or more means. The ANOVA is less time consuming than a t-test and also can be used for analyses of comparative experiments. The limitations of the ANOVA are that we must assume that all population means from each data group must be equal, and all variances from each data group must be equal. It is very rare that we can have the pleasure of seeing this in