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Data Analysis: Descriptive Statistics and Assumption Testing

Data Analysis: Descriptive Statistics and Assumption Testing

Data Analysis: Descriptive Statistics and Assumption TestingCorrelation: Descriptive Statistics and Assumption TestingFrequency distribution tablebinFrequency21466318421019124More0 HistogramDescriptive statistics tableMean annual sick days per employeeDescriptive statisticsMean7.126214Standard Error0.186484Median7Mode7Standard Deviation1.892605Sample Variance3.581953Kurtosis0.124923Skewness0.14225Range10Minimum2Maximum12Sum734Count103Measurement scaleThe minimum and maximum of Mean annual sick days per employee was 2 and 12.Measure of central tendencyThe analysis shows that mean, median, mode and standard deviation of Mean annual sick days per employee was 7.126214, 7, 7 and 1.89 respectively.EvaluationThe Descriptive Statistics shows that the Kurtosis and skewness of Mean annual sick days per employee is 0.124923 and 0.14225. The assumptions for parametric statistical testing were met here.Simple Regression: Descriptive Statistics and Assumption TestingFrequency distribution tablebinFrequency3026099013120231502918018210 4924031270173002433043604More0 HistogramDescriptive statistics tablelost time hoursDescriptive StatisticsMean188.0045Standard Error4.803089Median190Mode190Standard Deviation71.72542Sample Variance5144.536Kurtosis-0.50122Skewness-0.08198Range350Minimum10Maximum360Sum41925Count223 Measurement scaleThe minimum and maximum of lost time hours was 10 and 360.Measure of central tendencyThe analysis shows that mean, median, mode and standard deviation of lost time hours was 188.0045, 190, 190 and 71.72542 respectively.EvaluationThe Descriptive Statistics shows that the Kurtosis and skewness of lost time hours is -0.50122 and -0.08198. The assumptions for parametric statistical testing were met here.Multiple Regression: Descriptive Statistics and Assumption TestingFrequency distribution tableBinFrequency1000110361203241307681403731502More0 HistogramDescriptive statistics tableDecibelDescriptive StatisticsMean124.8359Standard Error0.177945Median125.721Mode127.315Standard Deviation6.898657Sample Variance47.59146Kurtosis-0.31419Skewness-0.41895Range37.607Minimum103.38Maximum140.987Sum187628.4Count1503 Measurement scaleThe minimum and maximum of Decibel was 103.38 and 140.9871.Measure of central tendencyThe analysis shows that mean, median, mode and standard deviation of Decibel was 124.8359, 125.721, 127.315 and 6.898657 respectively.EvaluationThe Descriptive Statistics shows that the Kurtosis and skewness of Decibel is -0.31419 and -0.41895. The assumptions for parametric statistical testing were met here.Independent Samples t Test: Descriptive Statistics and Assumption Testing Frequency distribution tableBin(Group A Prior Training Scores)Frequency504555603651170975108011853905951More0 Bin (Group B Revised Training Scores)Frequency7528012852190199561002More0 HistogramDescriptive statistics tableGroup A Prior Training ScoresDescriptive StatisticsGroup B Revised Training ScoresDescriptive StatisticsMean69.79032258Mean84.77419355Standard Error1.402788093Standard Error0.659478888Median70Median85Mode80Mode85Standard Deviation11.04556449Standard Deviation5.192741955Sample Variance122.004495Sample Variance26.96456901Kurtosis-0.77667598Kurtosis-0.352537913Skewness-0.086798138Skewness0.144084526Range41Range22Minimum50Minimum75Maximum91Maximum97Sum4327Sum5256Count62Count62 Measurement scaleThe minimum and maximum of Group A Prior Training Scores was 50 and 91. The minimum and maximum of Group B Revised Training Scores was 75 and 97.Measure of central tendencyThe analysis shows that mean, median, mode and standard deviation of Group A Prior Training Scores was 69.79, 70, 80 and 11.04556 respectively. Similarly, mean, median, mode and standard deviation of Group B Revised Training Scores was 84.77, 85, 85 and 5.19 respectively.EvaluationThe Descriptive Statistics shows that the Kurtosis and skewness of Group A Prior Training Scores is -0.77667598 and -0.086798138. It also shows that the Kurtosis and skewness of Group B Revised Training Scores is -0.352537913and 0.144084526. The assumptions for parametric statistical testing were met here.Dependent Samples (Paired-Samples) t Test: Descriptive Statistics and Assumption TestingFrequency distribution table.Bin (Pre-Exposure ?g/dL)Frequency611231842453053611429487543601More0 Bin (Post-Exposure ?g/dL)Frequency611231842453053674212488543601More0 Histogram Descriptive statistics tablePre-Exposure ?g/dLDescriptive StatisticsPost-Exposure ?g/dLDescriptive StatisticsMean32.85714Mean33.28571Standard Error1.752307Standard Error1.781423Median35Median36Mode36Mode38Standard Deviation12.26615Standard Deviation12.46996Sample Variance150.4583Sample Variance155.5Kurtosis-0.57604Kurtosis-0.65421Skewness-0.42511Skewness-0.48363Range50Range50Minimum6Minimum6Maximum56Maximum56Sum1610Sum1631Count49Count49 Measurement scaleThe minimum and maximum of both Pre-Exposure ?g/dL and Post-Exposure ?g/dL was 6 and 56. Measure of central tendencyThe analysis shows that mean, median, mode and standard deviation of Pre-Exposure ?g/dL was 32.85714, 35, 36 and 12.26615 respectively. Similarly, mean, median, mode and standard deviation of Post-Exposure ?g/dL was 33.28571, 36, 38 and 12.46996 respectively.EvaluationThe Descriptive Statistics shows that the Kurtosis and skewness of Pre-Exposure ?g/dL is -0.57604 and -0.42511. It also shows that the Kurtosis and skewness of Post-Exposure ?g/dL is -0.65421 and -0.48363. The assumptions for parametric statistical testing were met here.ANOVA: Descriptive Statistics and Assumption TestingFrequency distribution table. Bin (A = Air)Frequency20426383105125142More0 Bin (B = Soil)Frequency6187108123141More0 Bin (C = Water)Frequency20426984102123More0 Bin (D = Training)Frequency204461383More0 Histogram. Descriptive statistics table.A = AirDescriptive StatisticsB = SoilDescriptive StatisticsC = WaterDescriptive StatisticsD = TrainingDescriptive StatisticsMean8.9Mean9.1Mean7Mean5.4Standard Error0.684028Standard Error0.390007Standard Error0.575829Standard Error0.265568Median9Median9Median6Median5Mode11Mode8Mode6Mode5Standard Deviation3.059068Standard Deviation1.744163Standard Deviation2.575185Standard Deviation1.187656Sample Variance9.357895Sample Variance3.042105Sample Variance6.631579Sample Variance1.410526Kurtosis-0.6283Kurtosis0.11923Kurtosis-0.23752Kurtosis 0.253747Skewness-0.36085Skewness0.492002Skewness0.760206Skewness0.159183Range11Range7Range9Range5Minimum3Minimum6Minimum3Minimum3Maximum14Maximum13Maximum12Maximum8Sum178Sum182Sum140Sum108Count20Count20Count20Count20 Measurement scaleThe minimum and maximum of air was 3 and 14. Similarly, the minimum and maximum of soil was 6 and 13. The minimum and maximum of water was 3 and 12. Similarly, the minimum and maximum of training was 3 and 8. Measure of central tendencyThe analysis shows that mean, median, mode and standard deviation of air was 8.9, 9, 11 and 3.059068 respectively. Similarly, mean, median, mode and standard deviation of soil was 9.1, 9, 8 and 1.744163 respectively. The mean, median, mode and standard deviation of water was 7, 6, 6 and 2.575185 respectively. Similarly, mean, median, mode and standard deviation of training was 5.4, 5, 5 and 1.187656 respectively.EvaluationThe Descriptive Statistics shows that the Kurtosis and skewness of Air is -0.6283 and -0.36085. It also shows that the Kurtosis and skewness of soil is 0.11923 and -0.492002. Similarly, the Kurtosis and skewness of water is -0.23752 and 0.760206. Moreover, the Kurtosis and skewness of training is 0.253747 and 0.159183. The assumptions for parametric statistical testing were met here.  ReferencesLinoff, G. S. (2010). Data Analysis Using SQL and Excel. John Wiley & Sons.Whigham, D. (2007). Business Data Analysis Using Excel. OUP Oxford.Nirel, R., Adar, S. D., Dayan, U., Vakulenko-Lagun, B., Golovner, M., Levy, I., . . . Peretz, A. (2018). Fine and Coarse Particulate Matter Exposures and Associations with Acute Cardiac Events among Participants in a Telemedicine Service: A Case-Crossover Study. Environmental Health Perspectives, 126(9), 097003. doi:10.1289/ehp2596

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