Order ID | 53563633773 |
Type | Essay |
Writer Level | Masters |
Style | APA |
Sources/References | 4 |
Perfect Number of Pages to Order | 5-10 Pages |
Researching One-Way Analysis Of Variance (ANOVA)
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.
____________________________________________________________________________
1. What is meant by the Grand Mean in ANOVA?
2. Please explain what the difference is between the two concepts below.
Between Group Variability vs Within Group Variability
3. 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.
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.
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