Simple Analysis of Variance: Comparing the Means Among Three or More Sets of Data-Case Study
Instructions: To successfully complete this case study, all of the following instructions must be
adhered to. Only paste tables/figures that contain pertinent information. Only paste tables/
figures where you are instructed to do so. HIGHLIGHT (in yellow) only relevant the data from
tables; as well as your response to each question. In the write-up section, all information must be
provided in paragraph format. When statistical values are discussed, the numerical value must be
given and a reference must be made to the table(s)/figure(s) where the value(s) can be found. An
example of this is “heart rate was statistically greater during running versus cycling (189 vs. 143
bpm) as indicated in Table 1.
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? Ratio
2. Would the amount of skewness and kurtosis in these affect the analysis? How do you
know? Give numerical values to support your conclusion.
Cold Skewness: .215/.687 = .147 Kurtosis: -1.157/ 1.334 = -0.867
Neutral Skewness: .780/.661 = 1.180 Kurtosis: .089/1.279 = .069
Hot Skewness: .276/.687 = .401 Kurtosis: =1.042/1.334 = .781
None of the skewness or kurtosis will affect the analysis because all of the values are less
than 2.0 or -2.0.
Table 1. PASTE TABLE with skewness and kurtosis BELOW
Descriptives
Std.
Environment Statistic Error
Core_tem cold Mean 37.440 .0819
p 95% Confidence Lower 37.255
Interval for Mean Bound
Upper 37.625
Bound
5% Trimmed Mean 37.439
Median 37.400
Variance .067
Std. Deviation .2591
Minimum 37.1
Maximum 37.8
Range .7
1
, Simple Analysis of Variance: Comparing the Means Among Three or More Sets of Data-Case Study
Interquartile Range .5
Skewness .215 .687
Kurtosis -1.157 1.334
neutral Mean 37.309 .0868
95% Confidence Lower 37.116
Interval for Mean Bound
Upper 37.503
Bound
5% Trimmed Mean 37.293
Median 37.200
Variance .083
Std. Deviation .2879
Minimum 37.0
Maximum 37.9
Range .9
Interquartile Range .5
Skewness .780 .661
Kurtosis .089 1.279
hot Mean 37.200 .1563
95% Confidence Lower 36.846
Interval for Mean Bound
Upper 37.554
Bound
5% Trimmed Mean 37.194
Median 37.150
Variance .244
Std. Deviation .4944
Minimum 36.5
Maximum 38.0
Range 1.5
Interquartile Range .9
Skewness .276 .687
Kurtosis -1.042 1.334
2
Instructions: To successfully complete this case study, all of the following instructions must be
adhered to. Only paste tables/figures that contain pertinent information. Only paste tables/
figures where you are instructed to do so. HIGHLIGHT (in yellow) only relevant the data from
tables; as well as your response to each question. In the write-up section, all information must be
provided in paragraph format. When statistical values are discussed, the numerical value must be
given and a reference must be made to the table(s)/figure(s) where the value(s) can be found. An
example of this is “heart rate was statistically greater during running versus cycling (189 vs. 143
bpm) as indicated in Table 1.
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? Ratio
2. Would the amount of skewness and kurtosis in these affect the analysis? How do you
know? Give numerical values to support your conclusion.
Cold Skewness: .215/.687 = .147 Kurtosis: -1.157/ 1.334 = -0.867
Neutral Skewness: .780/.661 = 1.180 Kurtosis: .089/1.279 = .069
Hot Skewness: .276/.687 = .401 Kurtosis: =1.042/1.334 = .781
None of the skewness or kurtosis will affect the analysis because all of the values are less
than 2.0 or -2.0.
Table 1. PASTE TABLE with skewness and kurtosis BELOW
Descriptives
Std.
Environment Statistic Error
Core_tem cold Mean 37.440 .0819
p 95% Confidence Lower 37.255
Interval for Mean Bound
Upper 37.625
Bound
5% Trimmed Mean 37.439
Median 37.400
Variance .067
Std. Deviation .2591
Minimum 37.1
Maximum 37.8
Range .7
1
, Simple Analysis of Variance: Comparing the Means Among Three or More Sets of Data-Case Study
Interquartile Range .5
Skewness .215 .687
Kurtosis -1.157 1.334
neutral Mean 37.309 .0868
95% Confidence Lower 37.116
Interval for Mean Bound
Upper 37.503
Bound
5% Trimmed Mean 37.293
Median 37.200
Variance .083
Std. Deviation .2879
Minimum 37.0
Maximum 37.9
Range .9
Interquartile Range .5
Skewness .780 .661
Kurtosis .089 1.279
hot Mean 37.200 .1563
95% Confidence Lower 36.846
Interval for Mean Bound
Upper 37.554
Bound
5% Trimmed Mean 37.194
Median 37.150
Variance .244
Std. Deviation .4944
Minimum 36.5
Maximum 38.0
Range 1.5
Interquartile Range .9
Skewness .276 .687
Kurtosis -1.042 1.334
2
