5 Problems in Statistics (Design of Experiments) Essay

5 Problems in Statistics (Design of Experiments) - Essay ExampleConclusionNumber of particles after method 2 is higher than after method 1. 6-27The molecular(a)(a) weight number is plotted as follows The data follows a normal probability plot that is skewed to the left. The effect seems to be skewed to the left meaning that the molecular weight effect is centered between 2400 and 2600.Analysis of VarianceThe adjacent table describes the analysis of mutation of the molecular weight effect. It is noted that the mean is 2499 and precedent deviation is 126 which indicates little variance of the molecular weight effect. Curvature is skewed to the left according to the skewness statistic.Regression AnalysisRegression analysis is conducted to predict molecular weight from other factors.First Run ground on p-value and significance of results. D and B are excluded.Regression Second RunIt is suggested to remove the viscosity variable due to its insignificance. Regression Third RunModel a nd equation to predict molecular weightMolecular weight = 2499.5 + 100.6 (C) + 61.9 (A) The model is adequate as it predicts 70% of molecular weight from A and C.Viscosity is plotted on histogram graph as followsThe histogram of viscosity does not show that the variable is normally distributed.Analysis of VarianceThe following table describes the analysis of variance of the viscosity effect. It is noted that the mean is 1499 and standard deviation is 67 which indicates little variance of the molecular weight effect. Curvature is skewed to the left according to the skewness statistic.Regression to predict ViscosityBased on p-value, it is determined to omit the variables molecular weight.Regression Second RunBased on p-value, it is determined to... The following table describes the analysis of variance of the molecular weight effect. It is noted that the mean is 2499 and standard deviation is 126 which indicates little variance of the molecular weight effect. Curvature is skewed to th e left according to the skewness statistic.The following table describes the analysis of variance of the viscosity effect. It is noted that the mean is 1499 and standard deviation is 67 which indicates little variance of the molecular weight effect. Curvature is skewed to the left according to the skewness statistic.From regression equation it is determined that to decrease viscosity it is best to increase catalyst concentration. From coefficients of variance it is suggested to decrease time and mechanical press and increase temperature and molecular weight.