What is the Sum of Squares Between

Complete
the ANOVA table. k = 3, N = 12.

Source	SS	df	MS	F
Between			13	F = 6.50
Within
Total	44

Assume an alpha α = .05, is this ANOVA significant?

What is the Sum of Squares Between?	Answer 1
What is the Sum of Squares Within?	Answer 2
What is the degress of freedom Between?	Answer 3
What is the degrees of freedom Within?	Answer 4
What is the degrees of freedom Total?	Answer 5
What is the Mean Square Within?	Answer 6
To determine if this ANOVA is significant, what if the F Critical Value found in the F Distribution table for this analysis?	Answer 7
Is this ANOVA significant?	Answer 8

1.
Complete
the ANOVA table. k = 4, N = 24.

Source	SS	df	MS	F
Between				F =
Within			2
Total	58

Assume an alpha α = .01, is this ANOVA significant?

What is the Sum of Squares Between?	Answer 1
What is the Sum of Squares Within?	Answer 2
What is the degrees of freedom Between?	Answer 3
What is the degrees of freedom Within?	Answer 4
What is the degrees of freedom Total?	Answer 5
What is the Mean Square Between?	Answer 6
What is the calculated F-ratio for this analysis?	Answer 7
To determine if this ANOVA is significant, what is the F critical value to be used from the F distribution table?	Answer 8
Is this ANOVA significant?	Answer 9

1. Take the following
information and compute the Tukey’s HSD that would be used for a post-hoc
comparison. Assume an alpha α = .01.

Source	SS	df	MS	F
Between	32	3	10.67	F = 14.23
Within	12	16	0.75
Total	44	19

What is the “q” from “The Studentized Range Statistic” table that would be used in the computation?	Answer 1
What is the HSD computed from this scenario?	Answer 2

1. Take the following
information and compute the Tukey’s HSD and determine where the mean
differences are between the treatments. Assume an alpha α = .01

Source	SS	df	MS	F
Between	48	2	24	F = 35.82
Within	16	24	0.67
Total	64	26

M₁
= 6 M₂
= 5 M₃
= 3

HSD =

M₁ – M₂

M₁ – M₃

M₂ – M₃

Which ones are
significantly different?

What is the “q” value used in this analysis?	Answer 1
What is the calculated HSD for this scenario?	Answer 2
What is the mean difference between the mean of group 1 and group 2?	Answer 3
What is the mean difference between the mean of group 1 and group 3?	Answer 4
What is the mean difference between the mean of group 2 and group 3?	Answer 5
Which groups are significantly different from each other?	Answer 6

The
severity of a head injury in a car crash was recorded by “car type.” The car types analyzed in this scenario are:
Subcompact, Compact, Midsize and Full-size.
Based on a single-factor ANOVA,
are there significant differences between the groups? If appropriate, calculate Tukey’s HSD. Use
alpha = .05. The analysis is as follows:

Descriptive Data
Groups	n	Sum	Mean	Standard Deviation
Subcompact	5	3344	668.8	241.95
Compact	5	2779	555.8	90.95
Midsize	5	2434	486.8	167.67
Full-size	5	2689	537.8	154.61
ANOVA SUMMARY TABLE
Source of Variation	SS	df	MS	F
Between Groups	88425	3	29475	0.992167
Within Groups	475323.2	16	29707.7
Total	563748.2	19

Is this ANOVA
significant?__________________________________________

Do you need to perform a Tukey’s HSD?

Write a Complete Decision Statement in the following
Essay question – interpret the results using APA format!!!

Is this ANOVA significant?	Answer 1
Do you perform a Tukey’s HSD in this case?	Answer 2

Using the information from the first ANOVA table
scenario(severity of head injory recorded by “car type”), please
provide a complete decision statement utilizing APA format that has been
demonstrated in the videos on Moodle and in the support documents.

Format

A
study was conducted to investigate the effects of exercise on stress. Data,
systolic blood pressure readings (in mmHg) of subjects, was collected from
males based on the following age subgroups: 60 and older, 59 to 45, and 44 –
30. Use an ANOVA with alpha .05 to determine whether there are significant
differences in systolic blood pressure between the groups. If appropriate, calculate Tukey’s HSD

Descriptive Data
Groups	n	Sum	Mean	Standard Deviation
60 and older	6	763.34	127.2233	7.21
59 to 45	6	671.66	111.9433	5.60
44 to 30	6	632.34	105.39	15.36
ANOVA SUMMARY TABLE
Source of Variation	SS	df	MS	F
Between Groups	1506.238	2	753.119	7.075093
Within Groups	1596.698	15	106.4465

Total	3102.936	17

Is this ANOVA significant?

Be prepared to provide
written results statements in APA format from this data.

Is this ANOVA significant?	Answer 1
Do you need to perform a Tukey’s HSD?	Answer 2
If you are performing a Tukey’s HSD, what is the “q” value that you will use in the calculation?	Answer 3
What is the calculated Tukey’s HSD?	Answer 4
What is the mean difference between group 1 (60 and older) and group 2 (59 to 45)?	Answer 5
Is the mean difference between group 1 and group 2 significant?	Answer 6
What is the mean difference between group 1 (60 and older) and group 3 (44 to 30)?	Answer 7
Is the mean difference between group 1 and group 3 significant?	Answer 8
What is the mean difference between group 2 (59 to 45) and group 3 (44 to 30)?	Answer 9
Is the mean difference between group 2 and group 3 significant?	Answer 10
What is the “F” critical value from the F distribution table use in this analysis?	Answer 11

Provide a complete ANOVA decision statement in this essay
portion that summarizes the findings in the “effects of exercise on
stress” problem. Be sure to include all the required information.

Format

Thompson
(2012) reports the results of a study demonstrating a positive relationships
between fitness level and income for a group of gainfully employed males.
Data below is similar to the trial results. The fitness variable is
measured as 1 = Poor fitness level and 5 = Excellent fitness level. Income
is rounded to the nearest $1,000.

The data are as follows:

Fitness Level(x)	Income(y)
2	51
4	93
3	78
1	110
5	148
5	125
3	76
5	94
2	36
1	24
4	88
4	99
3	86

Calculate
the Pearson correlation for these data.

Assume
an alpha = .05 and two tails. Is this correlation significant?

Use this information to
provide the APA format decision statement in the following essay type question.

What is the calculated correlation coefficient?	Answer 1
Assuming an alpha of .05 and two tails, what is the r-critical value to determine if this correlation coefficient is significant?	Answer 2
Are these two variables significantly correlated?	Answer 3

Using the information from the Correlation problem,
please provide results in APA format as demonstrated in your text on p. 530.

Format

What is the Sum of Squares Between

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