Access over 20 million homework & study documents
search

Factorial Anova

Content type

User Generated

Subject

Statistics

Type

Homework

Rating

Showing Page:
1/18
EXSC 520
Page 1 of 18
CASE STUDY: FACTORIAL ANALYSIS OF VARIANCE TEMPLATE
I. Factorial Analysis of Variance
Research question: is there a statistical difference for skin temperature across time
while taking into account the factor “environment” (hot versus cold)?
Assumptions Testing
1. Data level of measurement- what is the level of measurement for the data used in this
case study?
The dependent variable of “Skin temperature” has a level of measurement of Interval.
The “Skin temperature” is divided based on the nominal variable of “Environment”
according to different “Time” category
2. Would the amount of skewness and kurtosis in these affect the analysis? How do you
know? Give numerical values to support your conclusion.
The skewness and kurtosis of Skin temperature based on a Hot “environment for
“Time_0” are 1.254 and 1.950 respectively. The skewness and kurtosis of Skin
temperature based on a Hot “environment for “Time_15” are 0.399 and -0.950
respectively. The skewness and kurtosis of Skin temperature based on a Hot
“environment for “Time_30” are 0.069 and -0.407 respectively. Similarly, the skewness
and kurtosis of Skin temperature based on a “Cold “environment for “Time_0” are -2.997
and 9.508 respectively. The skewness and kurtosis of Skin temperature based on a “Cold
“environment for “Time_15” are -0.552 and -0.702 respectively. Lastly, the skewness
and kurtosis of Skin temperature based on a “Cold “environment for “Time_30” are -
0.691 and -0.925 respectively. The amount of skewness between the values of - 1 and + 1
is considered to be normal for analysis. And the kurtosis values between 2 and + 2 are
considered acceptable for analysis of the data (George & Mallery, 2010). We can observe
that the Skin temperature based on a “Cold “environment for “Time_0” is considered not
acceptable for analysis and the amount of skewness and kurtosis observed in other
categories of variables across groups does not affect the analysis

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/18
EXSC 520
Page 2 of 18
Table 1. PASTE TABLE with skewness and kurtosis (EACH FACTOR) BELOW

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/18
EXSC 520
Page 3 of 18
3. Was the assumption of normality met and how do you know?
The tests of normality such as Kolmogorov-Smirnov and Shapiro-Wilk have the Null
Hypothesis that the data are normally distributed. Therefore, if the p-value obtained for
the variables is greater than the level of significance of 0.05, we can reject the Null
hypothesis and conclude that the data are normally distributed
From the table showing the tests of Normality below, we can see that except Cold
environment Time_0 category, all other categories have a significance (p-value)
obtained greater than 0.05. Therefore, we can conclude that the assumption of normality
is not met for the “Cold” environment for “Time_0”. All other categories met the
normality assumption
Table 2. PASTE Tests of NORMALITY table BELOW
Tests of Normality
Environment
Kolmogorov-Smirnov
a
Shapiro-Wilk
Statistic
df
Sig.
Statistic
df
Sig.
Hot
.222
11
.135
.896
11
.167
Cold
.402
11
.000
.569
11
.000
Hot
.182
11
.200
*
.917
11
.295
Cold
.176
11
.200
*
.939
11
.510
Hot
.142
11
.200
*
.978
11
.954
Cold
.176
11
.200
*
.903
11
.200
*. This is a lower bound of the true significance.
a. Lilliefors Significance Correction
Figure 1. PASTE Histogram with normal curve (EACH FACTOR) BELOW

Sign up to view the full document!

lock_open Sign Up
Showing Page:
4/18

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 18 pages?
Access Now

Unformatted Attachment Preview

EXSC 520 CASE STUDY: FACTORIAL ANALYSIS OF VARIANCE TEMPLATE I. Factorial Analysis of Variance Research question: “is there a statistical difference for skin temperature across time while taking into account the “factor” “environment” (hot versus cold)?” Assumptions Testing 1. Data level of measurement- what is the level of measurement for the data used in this case study? The dependent variable of “Skin temperature” has a level of measurement of Interval. The “Skin temperature” is divided based on the nominal variable of “Environment” according to different “Time” category 2. Would the amount of skewness and kurtosis in these affect the analysis? How do you know? Give numerical values to support your conclusion. The skewness and kurtosis of Skin temperature based on a “Hot “environment for “Time_0” are 1.254 and 1.950 respectively. The skewness and kurtosis of Skin temperature based on a “Hot “environment for “Time_15” are 0.399 and -0.950 respectively. The skewness and kurtosis of Skin temperature based on a “Hot “environment for “Time_30” are 0.069 and -0.407 respectively. Similarly, the skewness and kurtosis of Skin temperature based on a “Cold “environment for “Time_0” are -2.997 and 9.508 respectively. The skewness and kurtosis of Skin temperature based on a “Cold “environment for “Time_15” are -0.552 and -0.702 respectively. Lastly, the skewness and kurtosis of Skin temperature based on a “Cold “e ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Very useful material for studying!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4