APSC 3115

Syllabus

Introduction

Lecture Notes

R-Files

Python - Files

Example Exam Questions

Solutions -
Dekking

Solutions -
Devore

Solutions -
WMMY

LA

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ENGINEERING ANALYSIS III :

To run the R scripts you need to first install R, which you can download for free from: https://www.r-project.org/

Next, you need to install an environment editor to run the R-scripts. I use R-studio Desktop, which you can download for free from:
https://www.rstudio.com/products/rstudio/#Desktop

SESSION 1: John_and_Mary.R, Iris_Analysis.R, Plot_Discrete_Distributions.R

SESSION 2: Examples_Chapter_4.R, Plot_Discrete_Distributions.R,
Examples_Chapter_5.R, Uniform_Sampler.R, Bernoulli_Sampler.R, Question_6_2_Sampler.R, Exponential_Sampler.R, Question_6_3_Sampler.R, Jury_Rule_Simulation.R

SESSION 3:

SESSION 4: Joint_Distribution_S_M.R, Plot_Discrete_Distributions.R Joint_Normal_Distribution_PDF.R, Joint_Normal_Distribution_PDF_2.R, Joint_Normal_Distribution_CDF.R, Joint_Distribution_PDF_Example.R, Joint_Distribution_CDF_Example.R, Joint_Distribution_PDF_Example_2.R

SESSION 5: Convolution_Discrete_Uniform_Distribution_S.R, Plot_Discrete_Distributions.R, Spare_Radio_Example.R, Sum_of_two_Uniforms.R, Sum_of_two_Exponentials.R, Sum_of_30_Exponentials.R, Sum_of_two_Normals.R

SESSION 6: Average_of_Sum_of_Exponentials.R, Credibility_Interval_Sum_of_Exponentials.R, Chebishev_Inequality.R, Law_of_Large_Numbers_Uniform_Gamma.R, Law_of_Large_Numbers_Expon_Normal.R, Law_of_Large_Numbers_Cauchy_Pareto.R, Recovering_Gamma_Density.R, Plot_Discrete_Distributions.R

SESSION 7: Central_Limit_Theorem_Exponentials.R, CLT_accountant_example.R, CLT_Refinement_LOLN_Gamma.R,
OldFaithFul.R, SoftwareFailure.R, ECDF_example.R, Plot_Discrete_Distributions.R, DrillTime.R, AustralianTimber.R

SESSION 8: MIDTERM EXAM

Data Chapter 15: OldFaithFul.csv, SoftwareFailure.csv, DrillTime.csv, AustralianTimber.csv

SESSION 9: Wick_Temperature.R, Empirical_Quantile_Example.R, OldFaithFul_IQR.R, SoftwareFailure_BoxPlot.R

Data Chapter 16: OldFaithFul.csv, SoftwareFailure.csv

SESSION 10: Estimators_S_T.R, Plot_Discrete_Distributions.R

SESSION 11: Estimators_Mean_Var.R, Plot_Discrete_Distributions.R, Estimators_S_T.R, Estimators_S_T_MSE.R, Estimators_S_T_MSE_p.R, Norm_Conf_Var_Known.R, Norm_Conf_Var_Known_Sample.R, R_Coal.R, Norm_Conf_Var_UnKnown.R, Norm_Conf_Var_UnKnown_Sample.R, Student_T_Normal_Sample.R, Plot_Discrete_Distributions.R, Student_T_Expon_Sample.R

Data Chapter 23: Coal.csv

SESSION 12: Wilson_Confidence_Interval_Proportion.R, Wilson_Confidence_Interval_Proportion_Random.R, Quick_Exercise_24_2.R, Confidence_Interval_Minimum_Random.R, Norm_Conf_One_Sided_Upper_Var_UnKnown.R, Norm_Upper_Conf_Var_UnKnown_Sample.R, R_Coal.R, Norm_Conf_One_Sided_Lower_Var_UnKnown.R, Norm_Lower_Conf_Var_UnKnown_Sample.R

Data Chapter 22: Coal.csv

Sampling_without_replacement_1.R, Sampling_without_replacement_2.R, Sampling_without_replacement_3.R, Plot_Discrete_Distributions.R
German_Tank_Example_350.R, German_Tank_Example_80.R,
German_Tank_Example_Type_1_Error_350.R, German_Tank_Example_Type_1_Error_80.R, German_Tank_Example_Type_2_Error_350.R, German_Tank_Example_Type_2_Error_80.R

SESSION 13: Dutch_Speed_Example_Type_I_Error.R, Dutch_Speed_Example_Type_II_Error_1.R, Dutch_Speed_Example_Type_II_Error_2.R ,

Data Chapter 27: BallBearings.csv, OldFaithFul.csv

BallBearing_1.R, BallBearing_2.R, BallBearing_3.R, BallBearing_4.R, Old_Faithfull_T_test.R

SESSION 14: LeanAngle_T_test_equal_variance.R, LeanAngle_T_test_different_variance.R

Data Chapter 28: LeanAngle.csv