This assessment is on ANOVA. You will analyzethe following variables in thegrades.savdata set:
SPSS Variables and Definitions
SPSS Variable |
Definition |
|---|
Section |
Class section |
Quiz3 |
Quiz 3: number of correct answers |
Step 1: The Data Analysis Plan
In Step 1:
- Name the variables used in this analysis and whether they are categorical or continuous.
- State a research question, null hypothesis, and alternate hypothesis for the ANOVA.
Step 2: Testing Assumptions
Test for one of the assumptions of ANOVA—normality.
- Interpret the Shapiro-Wilk test and how you determined whether the assumption of normality was met or violated.
Step 3: Results and Interpretation
In Step 3:
- Report the means and standard deviations of quiz3 for each group of the section variable.
- Report the results of the F-test and interpret the statistical results against the null hypothesis and state whether it is accepted or rejected.
- Interpret the post-hoc tests (multiple comparisons), if the F is significant.
Step 4: Statistical Conclusions
In Step 4:
- Provide a brief summary of your analysis and the conclusions drawn about this ANOVA.
Running head: DATA ANALYSIS AND APPLICATION TEMPLATE 1 PAGE 2 Data Analysis and Application Template Capella University Data Analysis and Application (DAA) Data Analysis Plan 1. Name the variables and the scales of measurement. 2. State your research question, null and alternate hypothesis. For assignment 4, the variables used to perform the Shapiro-Wilk’s test and the ANOVA test are Quiz 3 and the Section. For these analyses Quiz 3 is defined as the number of correct answers on Quiz number 3, and section is defined as the class section. The variable Quiz 3 is identified as continuous data and the variable section is identified as categorical data. Is there a significant difference in mean scores for Quiz 3 between class section groups? The null hypothesis states there is not a significant difference in mean scores for Quiz 3 between class section groups. The alternative states at least one class section group will significantly differ in mean scores for Quiz 3 from the other class section groups. Testing Assumptions 1. Paste the SPSS output for the given assumption. 2. Summarize whether or not the assumption is met. Tests of Normality Kolmogorov-Smirnova Shapiro-Wilk Statistic df Sig. Statistic df Sig. section .210 105 .000 .801 105 .000 quiz3 .143 105 .000 .948 105 .000 a. Lilliefors Significance Correction The scores for Quiz 3 were not normally distributed, Shapiro Wilk (105)= .94, p<0.001; the="" null="" hypothesis="" was="" rejected.="" results="" and="" interpretation="" 1.="" paste="" the="" spss="" output="" for="" main="" inferential="" statistic(s)="" as="" discussed="" in="" the="" instructions.="" 2.="" interpret="" statistical="" results="" as="" discussed="" in="" the="" instructions.="" descriptives="" quiz3="" n="" mean="" std.="" deviation="" std.="" error="" 95%="" confidence="" interval="" for="" mean="" minimum="" maximum="" lower="" bound="" upper="" bound="" 1="" 33="" 7.27="" 1.153="" .201="" 6.86="" 7.68="" 5="" 10="" 2="" 39="" 6.33="" 1.611="" .258="" 5.81="" 6.86="" 2="" 10="" 3="" 33="" 7.94="" 1.560="" .272="" 7.39="" 8.49="" 6="" 10="" total="" 105="" 7.13="" 1.600="" .156="" 6.82="" 7.44="" 2="" 10="" anova="" quiz3="" sum="" of="" squares="" df="" mean="" square="" f="" sig.="" between="" groups="" 47.042="" 2="" 23.521="" 10.951="" .000="" within="" groups="" 219.091="" 102="" 2.148="" total="" 266.133="" 104="" the="" average="" scores="" for="" quiz="" 3="" were="" found="" for="" each="" section="" including="" section="" 1="" (m="7.27," sd="1.15)," section="" 2="" (m="6.33," sd="1.61)," and="" section="" 3="" (m="7.94," sd="1.56)." there="" was="" a="" significant="" difference="" in="" scores="" for="" quiz="" 3="" between="" sections,="" f="" (2,="" 102)="10.951,"><.05; the="" null="" hypothesis="" was="" rejected.="" a="" post="" hoc="" comparison="" using="" tukey’s="" hsd="" showed="" that="" scores="" for="" quiz="" 3="" in="" section="" 2="" and="" section="" 3="" were="" significantly="" different="" but="" did="" not="" significantly="" differ="" from="" section="" 1="" which="" was="" the="" same="" as="" section="" 3.="" statistical="" conclusions="" 1.="" provide="" a="" brief="" summary="" of="" your="" analysis="" and="" the="" conclusions="" drawn.="" 2.="" analyze="" the="" limitations="" of="" the="" statistical="" test.="" 3.="" provide="" any="" possible="" alternate="" explanations="" for="" the="" findings="" and="" potential="" areas="" for="" future="" exploration.="" the="" shapiro="" wilk’s="" test="" shows="" shapiro="" wilk="" (105)=".95,"><0.001; the="" null="" hypothesis="" was="" rejected.="" an="" analysis="" of="" variance="" was="" conducted="" and="" found="" f="" (2,="" 102)="10.951,"><.05; the null hypothesis was rejected. additionally, a post hoc comparison using tukey’s hsd showed means score for section 2 and section 3 significantly differed but not for section 1. the analysis of variances has many limitations one of them being that if the assumptions for this test are violated the test itself is invalid. another limitation is that this test tells you that somewhere in the analysis something is incorrect, but it does not tell you exactly where the error is. references provide references in proper apa style if necessary. the="" null="" hypothesis="" was="" rejected.="" additionally,="" a="" post="" hoc="" comparison="" using="" tukey’s="" hsd="" showed="" means="" score="" for="" section="" 2="" and="" section="" 3="" significantly="" differed="" but="" not="" for="" section="" 1.="" the="" analysis="" of="" variances="" has="" many="" limitations="" one="" of="" them="" being="" that="" if="" the="" assumptions="" for="" this="" test="" are="" violated="" the="" test="" itself="" is="" invalid.="" another="" limitation="" is="" that="" this="" test="" tells="" you="" that="" somewhere="" in="" the="" analysis="" something="" is="" incorrect,="" but="" it="" does="" not="" tell="" you="" exactly="" where="" the="" error="" is.="" references="" provide="" references="" in="" proper="" apa="" style="" if="">