Researching One-Way Analysis Of Variance (ANOVA)

December 6, 2022

Researching One-Way Analysis Of Variance (ANOVA)

Order Number	636738393092
Type of Project	ESSAY
Writer Level	PHD VERIFIED
Format	APA
Academic Sources	10
Page Count	3-12 PAGES

Instructions/Descriptions

Researching One-Way Analysis Of Variance (ANOVA)

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ANOVA Project

You will be researching one-way analysis of variance (ANOVA). One-way analysis of variance is a method of testing the equality of three or more population means by analyzing sample variances from these populations. You may use any resources that you like. If you Google one-way ANOVA you’ll find a plethora of information that will help you complete this project. I will have some resources posted on D2L in the Announcements page, but feel free to ignore them in favor of your sources.

This project is worth a letter grade and I’ll be looking at your work carefully, so please take the time and do this well. It MUST be typed and completely filled in to receive any credit. Every question must be answered. This is worth a lot of points, so again – please put in an appropriate amount of effort.

____________________________________________________________________________

What is meant by the Grand Mean in ANOVA?

Please explain what the difference is between the two concepts below.

Between Group Variability vs Within Group Variability

What is the F distribution and how is it related to ANOVA and between group variance and within group variance?

Please answer the following questions, and fill in the table related to the data set below. You’ll most likely want to use and ANOVA calculator on-line like this one.

https://www.socscistatistics.com/tests/anova/default2.aspx

First-born children tend to develop language skills faster than their younger siblings. One possible explanation for this phenomenon is that first-born children have undivided attention from their parents. If this explanation is correct, then it is also reasonable that twins should show slower language development than single children and that triplets should be even slower. In 1937, Davis found exactly this result. The following hypothetical data demonstrate this relationship. The dependent variable is a measure of language skill at age three. Do the data provide evidence for significant differences between the three populations? Test at the .05 level.

Single Child	Twin Child	Triplet Child
9 8 9 7 9	7 6 7 4 9	3 5 8 1 3

State the null and alternative hypothesis.

Fill in the following table of descriptive statistics.

Descriptive Statistics
N Mean SD
Single
Twin
Triplet

Also, complete the following ANOVA table.

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Analysis of Variance of Sociability Data
Source SS df MS F
Between Groups
Within Groups

If the F is statistically significant at p < .05 place an asterisk next to it and go on to compute a post-hoc test to determine which pairs of means are significantly different.

Write a brief conclusion (interpretation) of the results.

Researching One-Way Analysis Of Variance (ANOVA)

RUBRIC

Excellent Quality

95-100%

Introduction

45-41 points

The context and relevance of the issue, as well as a clear description of the study aim, are presented. The history of searches is discussed.

Literature Support

91-84 points

The context and relevance of the issue, as well as a clear description of the study aim, are presented. The history of searches is discussed.

Methodology

58-53 points

With titles for each slide as well as bulleted sections to group relevant information as required, the content is well-organized. Excellent use of typeface, color, images, effects, and so on to improve readability and presenting content. The minimum length criterion of 10 slides/pages is reached.

Average Score

50-85%

40-38 points

More depth/information is required for the context and importance, otherwise the study detail will be unclear. There is no search history information supplied.

83-76 points

There is a review of important theoretical literature, however there is limited integration of research into problem-related ideas. The review is just partly focused and arranged. There is research that both supports and opposes. A summary of the material given is provided. The conclusion may or may not include a biblical integration.

52-49 points

The content is somewhat ordered, but there is no discernible organization. The use of typeface, color, graphics, effects, and so on may sometimes distract from the presenting substance. It is possible that the length criteria will not be reached.

Poor Quality

0-45%

37-1 points

The context and/or importance are lacking. There is no search history information supplied.

75-1 points

There has been an examination of relevant theoretical literature, but still no research concerning problem-related concepts has been synthesized. The review is just somewhat focused and organized. The provided overview of content does not include any supporting or opposing research. The conclusion has no scriptural references.

48-1 points

There is no logical or apparent organizational structure. There is no discernible logical sequence. The use of typeface, color, graphics, effects, and so on often detracts from the presenting substance. It is possible that the length criteria will not be reached.