Publications by Saad Mirza
Question 3 Midterm
1 Question # 3: Part 1: Reading the data: basic<-c(21,20,25,22,21,22,22,24,24,23,21,25,23,24,24) conehead<-c(28,28,25,29,29,27,30,29,29,29,30,26,26,26,28) Buckethead<-c(23,23,23,21,21,22,20,22,22,22,19,19,21,18,18) games<-c(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15) games<-as.factor(games) BoxPlot: boxplot(basic,conehead,Buckethead, main="Box Plot ...
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Flipped Assignment 13
1 Question: 1.1 Solution: Page#1 Page#2 Page#3 Page#4 Page#5 Page#6 Page#7 ...
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Homework -Week 9
1 Question 5.2: 1.1 Solution: PART A: ---> Finding degrees of freedom for source B: Dof_total<-15 Dof_error<-8 Dof_interaction<-3 Dof_A<-1 Dof_B<-Dof_total-Dof_error-Dof_interaction-Dof_A print(Dof_B) ## [1] 3 ---> Finding SSA: MSA<-0.0002 SSA<-MSA*Dof_A print(SSA) ## [1] 2e-04 ---> Finding MSB, MSAB and MSE: SSB<-180.378 SSAB<-8.479...
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Flipped Assignment 14
1 Question 1: The data may be downloaded from here: https://raw.githubusercontent.com/tmatis12/datafiles/main/PowderProduction.csv Assume Ammonium, Stir Rate, and Temperature are factors with fixed effects, each with two levels, and the design is replicated twice. a)Write the model equation for a full factorial model What factors are deemed...
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Homework - Week 10
1 Question 5.4: 1.1 Solution: PART A: To analyze the data and draw conclusions we first state the model equation and then perform hypothesis testing. Linear Effects Model Equation: \[ y_{i,j}=\mu+\alpha_{i}+\beta_{j}+\alpha\beta_{ij}+\epsilon_{ijk} \] \(\alpha_{i}\)= the main effect of the ith treatment of Feed Rate \(\beta_{j}\)= the main ...
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Project Statapult - Fall 2022 Part # 1
INTRODUCTION: We have designed an experiment using a Statapult to find the significant factors that affect the distance in which the ball is thrown. The Statapult has three parameters i.e. • Pin Elevation • Bungee Position • Release Angle Parameters There are four discrete settings for both of the Pin Elevation and Bungee Position, num...
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Flipped Assignment 16
1 Question 1: a)Display the halfnormal plot for this data and determine which factors appear to be significant. b)Pull terms that do not appear to be significant into error and test for the significance of the other effects at the 0.05 level of significance. 1.1 Solution: PART A: Reading the Data: Obs <- c(12,18,13,16,17,15,20,15,10,...
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Flipped Assignment 15
1 Question 1: a)Construct the full table of plus (+) and minus (-) using Yates method b)Write the model equation for this a 23 factorial design c)Draw a cube labeling the corner points with the treatment combinations d)Estimate the effect of the AB interaction e)Calculate the sums of square for the AB interaction (i.e. SSAB) f)Calculate th...
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Homework Week 11
1 Question 6.8: 1.1 Solution: Writing Model Equation: \[ y_{ij}=\mu+\alpha_{i}+\beta_{j}+\alpha\beta_{ij}+\epsilon_{ijk} \] Writing the Hypothesis: Interaction: Null:\[H_o:\alpha\beta_{ij}=0\space\forall\space"i,j"\] Alternate:\[H_a:\alpha\beta_{ij}\neq0\space\exists\space"i,j"\] Main Effects: Null:\[H_o:\alpha_{i}=0\space\forall\space"i"\] \...
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Homework Week-12
1 Question 7.12 1.1 Solution: Factor A: Length of Putt 10 ft = -1, 30 ft = 1 Factor B: Type of Putter mallet = 1, cavity-back = -1 Factor C: Break of Putter straight = -1, breaking = 1 Factor D: Slope of Putter level = -1, downhill = 1 Reading the Data: library(GAD) length<-c(-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1) type<-c(-1,-1,1,1,-1,-1,1,...
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