- RSCH FPX 7864 Assessment 4 Data Analysis And Application Template.
Data Analysis and Application Template
Data Analysis Plan
This analysis identifies two variables: “Section” and “Quiz3”. The variable “Section” is definite, representing different class sections. The variable “Quiz3” is continuous, representing the number of correct answers on Test 3. The research question for the ANOVA can be formulated as follows:
“Is there a significant difference in the performance on Test 3 among different class sections?” The invalid hypothesis for the ANOVA would state that there is no significant difference in the performance on Test 3 across class sections. An alternative hypothesis for the ANOVA would state that there is a substantial difference in the performance on Test 3 across class sections. Explore our assessment RSCH FPX 7864 Assessment 2 for more information.
Testing Assumptions
Test for Equality of Variances (Levene’s)
F-Statistic | df1 | df2 | p-Value |
---|
2.898 | 2 | 102 | 0.060 |
In the RSCH FPX 7864 Assessment 4 Data Analysis and Application Template, Levene’s test for equality of variances was conducted to assess the assumption of homogeneity in the data to analyze progress (ANOVA). The test yielded an F statistic of 2.898, with degrees of freedom for the numerator (df1) equal to 2.000 and degrees of freedom for the denominator (df2) equal to 102.000. The p-value was 0.060. Based on the results, the p-value of 0.060 suggests no evidence to reject the homogeneity assumption. Levene’s test indicates that the assumption of homogeneity is not violated in the current analysis.
Therefore, continuing with the “none” version of ANOVA is appropriate to separate the given data.
Results and Interpretation
Descriptives – quiz3
Section | N | Mean | SD | SE | Coefficient of Variation |
---|---|---|---|---|---|
3.1 | 3 | 7.273 | 1.153 | 0.201 | 0.159 |
3.2 | 9 | 6.333 | 1.611 | 0.258 | 0.254 |
3.3 | 3 | 7.939 | 1.560 | 0.272 | 0.196 |
ANOVA – quiz3
Cases | Sum of Squares | df | Mean Square | F | p |
---|
Section | 47.042 | 2 | 23.521 | 1 |
Residuals | 219.091 | 102 | 2.148 | 10.95 | < .001 |
Note. Type III Sum of Squares
Post Hoc Comparisons – section
Mean Difference SE t turkey
Comparison | Mean Difference | SE | t | p |
---|---|---|---|---|
1 vs 2 | 0.939 | 0.347 | 2.710 | 0.021 |
1 vs 3 | -0.667 | 0.361 | -1.848 | 0.159 |
2 vs 3 | -1.606 | 0.347 | -4.633 | < .001 |
Note. P-esteem adjusted for contrasting a gathering of 3
Results and Post-Hoc Analysis
The results of the F test indicate a significant difference among the three sections of the class on test 3 (F = 23.521, p < .001). Therefore, we reject the invalid hypothesis, which suggests no difference in the scores on the test between the different sections. Post-hoc tests were conducted using the Tukey method to dissect the differences between the sections further. The posthoc tests uncovered significant differences between sections 1 and 2 (mean difference = 0.939, p = 0.021) and between sections 2 and 3 (mean difference = – 1.606, p < .001). At any rate, there was no significant difference between sections 1 and 3 (mean difference.
RSCH FPX 7864 Assessment 4 Data Analysis And Application Template
= -0.667, p = 0.159). In conclusion, the results of the F test indicate a significant difference in the scores among the three sections of the class on the test. Post-hoc tests uncovered that sections 1 and 2, as well as sections 2 and 3, have significantly different scores. Nevertheless, there was no significant difference between sections 1 and 3. These findings suggest variations in performance across the different class sections on the test.
Statistical Conclusions
The analysis was conducted using an ANOVA test to see the performance of test 3 amongst the three different sections of the class. The mean scores, standard deviations, standard errors, and coefficients of variation were calculated for each section. The results showed a significant difference among the sections, as indicated by the F test and p-esteem. Post hoc comparisons were also conducted to determine the specific differences between the sections.
Section 1 had a significantly higher test score than Section 2, and Section 3 had a substantially lower test score than Section 2. The p-values supported these differences. There is proof to suggest that the various class sections had different test scores. Section 1 performed better than section 2, and section 2 performed better than section 3. These findings give significant insights into the student’s performance in each section. This information can be used to assess the effectiveness of teaching methods, educational program design, or other factors that might contribute to variations in student performance.
Interpretation and Limitations of ANOVA
It can also assist with determining that certain sections consistently outperform or underperform compared to others, which can direct decision-production processes related to resource allocation and educational interventions. Post hoc comparisons can give further insights into the specific differences between the sections. Identifying mean differences, standard errors, t-values, and p-values can help pinpoint which sections are significantly different from each other and in what ways. This information can inform targeted interventions or modifications to teaching strategies to address specific areas of improvement or challenges within each section.
RSCH FPX 7864 Assessment 4 Data Analysis And Application Template
At any rate, this statistical test has limitations. First, the sample size was relatively small, with just 102 cases, which might limit the generalizability of the results. Other factors not accounted for in the analysis might have impacted the scores, such as prior information or the students’ studying habits. Future research could consider including these variables to better understand the performance differences between the sections. The ANOVA test provides proof of significant differences between sections.
Application
Analysis of Difference (ANOVA) checks whether the means of at least two sample groups are statistically different. An instance of using ANOVA testing in nursing would be a study to take a gander at the effectiveness of four different doses of antidepressant medication on depression scores. Participants would be separated into four groups as indicated by the dose of antidepressant medication they get (Gathering 1: 50mg; Gathering 2: 100mg; Gathering 3: 150mg; Gathering 5: 200mg).
In the context of RSCH FPX 7864 Assessment 4 Data Analysis and Application Template, a questionnaire measuring depression, such as the PHQ-9, could be given to participants in the four intervention groups. The intervention pack (medication dose) would be the independent variable, and the depression scores would be the dependent variable. As a mental health nurse, it would be essential to understand which dose of antidepressant medication is the most effective at treating depressive symptoms.
References
This resource provides an overview of the assumptions underlying ANOVA and guidance on interpreting its results. https://www.statisticshowto.com/probability-and-statistics/anova/
This article explains the use of post-hoc tests following ANOVA to explore differences between group means while controlling the family-wise error rate. https://www.statisticssolutions.com/levenes-test/
This page outlines the primary assumptions for ANOVA, including normality, homogeneity of variance, and independence. https://www.statisticssolutions.com/post-hoc-tests-in-anova/
One-Way ANOVA Assumptions, Interpretation, and Write-Up: This guide offers a comprehensive explanation of one-way ANOVA, covering assumptions, interpretation, and how to write up the results. https://online.stat.psu.edu/stat500/lesson/10/10.1/