Descriptive Statistics Analysis

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Michell Muldrow

Columbia Southern University

Research Methods

Dr. Senft

October 23, 2021

Data Analysis: Descriptive Statistics and Assumption Testing

Describe the Sun Coast Remediation data using the descriptive statistics tools discussed in the lecture. Establish whether assumptions are met to use parametric statistical procedures. Repeat this for each tab in the Sun Coast Remediation Research Study data set. Delete instructions and examples highlighted in yellow before submitting this assignment.

Correlation: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

Histogram

Bin

Frequency

2

1

3

1

4

5

5

13

6

18

7

24

8

18

9

12

10

7

11

2

More

2

Descriptive Statistics Table

mean annual sick days per employee

Mean

7.126213592

Standard Error

0.186483898

Median

7

Mode

7

Standard Deviation

1.892604864

Sample Variance

3.58195317

Kurtosis

0.124922603

Skewness

0.142249784

Range

10

Minimum

2

Maximum

12

Sum

734

Count

103

Measurement Scale

Discuss measurement scale used here (e.g., nominal, ordinal, interval, or ratio).

Measure of Central Tendency

Discuss measures of central tendency here and the relevance to normality of data (e.g., mean, median, and mode).

Skewness and Kurtosis

Discuss skewness and kurtosis and whether they are within acceptable ranges.

Evaluation

In this section, evaluate and discuss the descriptive statistics above. Conclude with an explicit statement about whether the assumptions for parametric statistical testing were met or not met.

Simple Regression: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

Histogram

Bin

Frequency

10

1

35

1

60

9

85

9

110

17

135

18

160

24

185

27

210

37

235

24

260

21

285

15

310

12

335

4

More

4

Descriptive Statistics Table

lost time hours

Mean

188.0044843

Standard Error

4.803089447

Median

190

Mode

190

Standard Deviation

71.72542099

Sample Variance

5144.536016

Kurtosis

-0.50122353

Skewness

-0.08198487

Range

350

Minimum

10

Maximum

360

Sum

41925

Count

223

Measurement Scale

Discuss measurement scale used here (e.g., nominal, ordinal, interval, or ratio).

Measure of Central Tendency

Discuss measures of central tendency here and the relevance to normality of data (e.g., mean, median, and mode).

Skewness and Kurtosis

Discuss skewness and kurtosis and whether they are within acceptable ranges.

Evaluation

In this section, evaluate and discuss the descriptive statistics above. Conclude with an explicit statement about whether the assumptions for parametric statistical testing were met or not met.

Multiple Regression: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

Histogram

Bin

Frequency

103.38

1

104.3697

2

105.3593

1

106.349

3

107.3386

6

108.3283

6

109.3179

9

110.3076

12

111.2973

18

112.2869

17

113.2766

26

114.2662

22

115.2559

27

116.2456

47

117.2352

36

118.2249

44

119.2145

47

120.2042

53

121.1938

61

122.1835

60

123.1732

62

124.1628

74

125.1525

70

126.1421

81

127.1318

93

128.1214

73

129.1111

105

130.1008

80

131.0904

88

132.0801

67

133.0697

50

134.0594

56

135.0491

35

136.0387

30

137.0284

19

138.018

7

139.0077

8

139.9973

5

More

2

Descriptive Statistics Table

Decibel

Mean

124.8359

Standard Error

0.177945

Median

125.721

Mode

127.315

Standard Deviation

6.898657

Sample Variance

47.59146

Kurtosis

-0.31419

Skewness

-0.41895

Range

37.607

Minimum

103.38

Maximum

140.987

Sum

187628.4

Count

1503

Measurement Scale

Discuss measurement scale used here (e.g., nominal, ordinal, interval, or ratio).

Measure of Central Tendency

Discuss measures of central tendency here and the relevance to normality of data (e.g., mean, median, and mode).

Skewness and Kurtosis

Discuss skewness and kurtosis and whether they are within acceptable ranges.

Evaluation

In this section, evaluate and discuss the descriptive statistics above. Conclude with an explicit statement about whether the assumptions for parametric statistical testing were met or not met.

Independent Samples t Test: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

Histogram

Bin

Frequency

50

4

55.85714

5

61.71429

7

67.57143

8

73.42857

14

79.28571

10

85.14286

8

More

6

Frequency

2

5

10

12

14

11

5

3

Descriptive Statistics Table

Group A Prior Training Scores

Mean

69.79032258

Standard Error

1.402788093

Median

70

Mode

80

Standard Deviation

11.04556449

Sample Variance

122.004495

Kurtosis

-0.77667598

Skewness

-0.086798138

Range

41

Minimum

50

Maximum

91

Sum

4327

Count

62

Group B Revised Training Scores

Mean

84.77419355

Standard Error

0.659478888

Median

85

Mode

85

Standard Deviation

5.192741955

Sample Variance

26.96456901

Kurtosis

-0.352537913

Skewness

0.144084526

Range

22

Minimum

75

Maximum

97

Sum

5256

Count

62

Measurement Scale

Discuss measurement scale used here (e.g., nominal, ordinal, interval, or ratio).

Measure of Central Tendency

Discuss measures of central tendency here and the relevance to normality of data (e.g., mean, median, and mode).

Skewness and Kurtosis

Discuss skewness and kurtosis and whether they are within acceptable ranges.

Evaluation

In this section, evaluate and discuss the descriptive statistics above. Conclude with an explicit statement about whether the assumptions for parametric statistical testing were met or not met.

Dependent Samples (Paired-Samples) t Test: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

Histogram

Bin

Frequency

6

1

13.14286

3

20.28571

5

27.42857

6

34.57143

8

41.71429

13

48.85714

9

More

4

Bin

Frequency

6

1

13.14286

3

20.28571

5

27.42857

6

34.57143

8

41.71429

11

48.85714

11

More

4

Descriptive Statistics Table

Pre-Exposure μg/dL

Mean

32.85714286

Standard Error

1.752306546

Median

35

Mode

36

Standard Deviation

12.26614582

Sample Variance

150.4583333

Kurtosis

-0.576037127

Skewness

-0.425109654

Range

50

Minimum

6

Maximum

56

Sum

1610

Count

49

Post-Exposure μg/dL

Mean

33.28571429

Standard Error

1.781423416

Median

36

Mode

38

Standard Deviation

12.46996391

Sample Variance

155.5

Kurtosis

-0.654212507

Skewness

-0.483629097

Range

50

Minimum

6

Maximum

56

Sum

1631

Count

49

Measurement Scale

Discuss measurement scale used here (e.g., nominal, ordinal, interval, or ratio).

Measure of Central Tendency

Discuss measures of central tendency here and the relevance to normality of data (e.g., mean, median, and mode).

Skewness and Kurtosis

Discuss skewness and kurtosis and whether they are within acceptable ranges.

Evaluation

In this section, evaluate and discuss the descriptive statistics above. Conclude with an explicit statement about whether the assumptions for parametric statistical testing were met or not met.

ANOVA: Descriptive Statistics and Assumption Testing

Frequency Distribution Table

Histogram

Bin

Frequency

3

1

5.75

3

8.5

4

11.25

8

More

4

Bin

Frequency

6

1

7.75

2

9.5

10

11.25

5

More

2

Bin

Frequency

3

1

5.25

5

7.5

8

9.75

2

More

4

Bin

Frequency

3

1

4.25

3

5.5

7

6.75

6

More

3

Descriptive Statistics Table

 

8.9

0.684028

9

11

3.059068

9.357895

-0.6283

-0.36085

11

3

14

178

20

B = Soil

Mean

9.1

Standard Error

0.390007

Median

9

Mode

8

Standard Deviation

1.744163

Sample Variance

3.042105

Kurtosis

0.11923

Skewness

0.492002

Range

7

Minimum

6

Maximum

13

Sum

182

Count

20

C = Water

Mean

7

Standard Error

0.575829

Median

6

Mode

6

Standard Deviation

2.575185

Sample Variance

6.631579

Kurtosis

-0.23752

Skewness

0.760206

Range

9

Minimum

3

Maximum

12

Sum

140

Count

20

D = Training

Mean

5.4

Standard Error

0.265568

Median

5

Mode

5

Standard Deviation

1.187656

Sample Variance

1.410526

Kurtosis

0.253747

Skewness

0.159183

Range

5

Minimum

3

Maximum

8

Sum

108

Count

20

Measurement Scale

Discuss measurement scale used here (e.g., nominal, ordinal, interval, or ratio).

Measure of Central Tendency

Discuss measures of central tendency here and the relevance to normality of data (e.g., mean, median, and mode).

Skewness and Kurtosis

Discuss skewness and kurtosis and whether they are within acceptable ranges.

Evaluation

In this section, evaluate and discuss the descriptive statistics above. Conclude with an explicit statement about whether the assumptions for parametric statistical testing were met or not met.

References

Include references here using hanging indentations.

Creswell, J. W., & Creswell, J. D. (2018). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). SAGE.

Histogram

Frequency 103.38 104.3696579 105.3593158 106.3489737 107.3386316 108.3282895 109.3179474 110.3076053 111.2972632 112.2869211 113.2765789 114.2662368 115.2558947 116.2455526 117.2352105 118.2248684 119.2145263 120.2041842 121.1938421 122.1835 12 3.1731579 124.1628158 125.1524737 126.1421316 127.1317895 128.1214474 129.1111053 130.1007632 131.0904211 132.0800789 133.0697368 134.0593947 135.0490526 136.0387105 137.0283684 138.0180263 139.0076842 139.9973421 More 1 2 1 3 6 6 9 12 18 17 26 22 27 47 36 44 47 53 61 60 62 74 70 81 93 73 105 80 88 67 50 56 35 30 19 7 8 5 2

Bin

Frequency

Histogram

Frequency 50 55.85714286 61.71428571 67.57142857 73.42857143 79.28571429 85.14285714 More 4 5 7 8 14 10 8 6

Bin

Frequency

Histogram

Frequency 75 78.14285714 81.28571429 84.42857143 87.57142857 90.71428571 93.85714286 More 2 5 10 12 14 11 5 3

Bin

Frequency

Histogram

Frequency 6 13.14285714 20.28571429 27.42857143 34.57142857 41.71428571 48.85714286 More 1 3 5 6 8 13 9 4

Bin

Frequency

Histogram

Frequency 6 13.14285714 20.28571429 27.42857143 34.57142857 41.71428571 48.85714286 More 1 3 5 6 8 11 11 4

Bin

Frequency

Histogram

Frequency 3 5.75 8.5 11.25 More 1 3 4 8 4

Bin

Frequency

Histogram

Frequency 6 7.75 9.5 11.25 More 1 2 10 5 2

Bin

Frequency

Histogram

Frequency 3 5.25 7.5 9.75 More 1 5 8 2 4

Bin

Frequency

Histogram

Frequency 3 4.25 5.5 6.75 More 1 3 7 6 3

Bin

Frequency

Histogram

Frequency 2 3 4 5 6 7 8 9 10 11 More 1 1 5 13 18 24 18 12 7 2 2

Bin

Frequency

Histogram

Frequency 10 35 60 85 110 135 160 185 210 235 260 285 310 335 More 1 1 9 9 17 18 24 27 37 24 21 15 12 4 4

Bin

Frequency