EXSC 520 CASE STUDY: SIMPLE ANALYSIS OF VARIANCE TEMPLATE
|LATEST UPDATE WITH COMPLETE SOLUTION
I. Simple Analysis of Variance
Research Question: “is there statistically significant difference among mean core
body temperature of groups who worked in a: cold, neutral, or hot environment?”
Assumptions Testing
1. Data level of measurement- what is the level of measurement for the data used in this
case study?
The data level measurement for data used in this case is interval. This is due to the
temperature measurements maintain equal distances between points and the lack of an
absolute zero
2. Would the amount of skewness and kurtosis in these affect the analysis? How do you
know? Give numerical values to support your conclusion.
For the amount of skewness or kurtosis to affect the analysis, the number must be below
-1.96 or above 1.96. Any value that comes between these two numbers is indicative of
the lack of skewness or kurtosis. Data analysis for Environments 1 and 2 will not be
affected by skewness due to values 1.56 and 1.61, and the kurtosis measures at 0.63 and
0.64. All the values are within the range of ±1.96. However, Environment 3 shows
skewness of -0.05 and negative kurtosis of -1.833, despite the negative values, which
suggests a slightly non-normal distribution, the values still remain within ±1.96, which
does not impact the analysis. All results should still be valid.
Table 1. PASTE TABLE with skewness and kurtosis BELOW
Descripti
ves
Environme
nt Statistic Std. Error
Core_temp 1.00 Mean 37.110 .1690
95% Lower 36.728
Confidence Bound
Interval for
Mean Upper 37.492
Bound
Page 1 of 9
, 5% 37.133
Trimmed
Mean
Median 37.300
Variance .285
Std. .5343
Deviation
Minimum 36.0
Maximum 37.8
Range 1.8
Interquartil .7
e Range
Skewness -1.069 .687
Kurtosis .837 1.334
Mean 37.536 .1337
95% Lower 37.239
Confidence Bound
Interval for
Mean Upper 37.834
Bound
5% 37.513
Trimmed
Mean
Median 37.500
Variance .197
Std. .4433
Deviation
Minimum 37.0
Maximum 38.5
Page 2 of 9
|LATEST UPDATE WITH COMPLETE SOLUTION
I. Simple Analysis of Variance
Research Question: “is there statistically significant difference among mean core
body temperature of groups who worked in a: cold, neutral, or hot environment?”
Assumptions Testing
1. Data level of measurement- what is the level of measurement for the data used in this
case study?
The data level measurement for data used in this case is interval. This is due to the
temperature measurements maintain equal distances between points and the lack of an
absolute zero
2. Would the amount of skewness and kurtosis in these affect the analysis? How do you
know? Give numerical values to support your conclusion.
For the amount of skewness or kurtosis to affect the analysis, the number must be below
-1.96 or above 1.96. Any value that comes between these two numbers is indicative of
the lack of skewness or kurtosis. Data analysis for Environments 1 and 2 will not be
affected by skewness due to values 1.56 and 1.61, and the kurtosis measures at 0.63 and
0.64. All the values are within the range of ±1.96. However, Environment 3 shows
skewness of -0.05 and negative kurtosis of -1.833, despite the negative values, which
suggests a slightly non-normal distribution, the values still remain within ±1.96, which
does not impact the analysis. All results should still be valid.
Table 1. PASTE TABLE with skewness and kurtosis BELOW
Descripti
ves
Environme
nt Statistic Std. Error
Core_temp 1.00 Mean 37.110 .1690
95% Lower 36.728
Confidence Bound
Interval for
Mean Upper 37.492
Bound
Page 1 of 9
, 5% 37.133
Trimmed
Mean
Median 37.300
Variance .285
Std. .5343
Deviation
Minimum 36.0
Maximum 37.8
Range 1.8
Interquartil .7
e Range
Skewness -1.069 .687
Kurtosis .837 1.334
Mean 37.536 .1337
95% Lower 37.239
Confidence Bound
Interval for
Mean Upper 37.834
Bound
5% 37.513
Trimmed
Mean
Median 37.500
Variance .197
Std. .4433
Deviation
Minimum 37.0
Maximum 38.5
Page 2 of 9
