EMSE 6765

Syllabus

Introduction

Prereq Review

Course Files

R - Files

Python - Files

Solutions

Project Files

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DATA ANALYSIS FOR ENGINEERS AND SCIENTISTS:

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

Part 1: Statistics Review

SESSION 1:

Data Chapter 15-17: OldFaithFul.csv, SoftwareFailure.csv, DrillTime.csv, AustralianTimber.csv, Speed_of_Light.csv

Code Chapter 15: OldFaithFul.R, ECDF_example.R, SoftwareFailure.R, DrillTime.R, Plot_Discrete_Distributions.R, AustralianTimber.R

Code Chapter 16: Wick_Temperature.R, Empirical_Quantile_Example.R, OldFaithFul_IQR.R, OldFaithFul_BoxPlot.R, SoftwareFailure_BoxPlot.R

Code Chapter 17: Speed_of_Light.R, Law_of_Large_Numbers_Normal.R, SoftwareFailure_with_exp_fit.R, AustralianTimber_Prediction.R

SESSION 2:

Data Chapter 23: Coal.csv

Code Chapter 19: Estimators_S_T.R, Plot_Discrete_Distributions.R

Code Chapter 20: Estimators_Mean_Var.R, Estimators_S_T_MSE.R, Estimators_S_T_MSE_p.R, Plot_Discrete_Distributions.R

Code Chapter 23: Norm_Conf_Var_Known.R, Norm_Conf_Var_Known_Sample.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

Part 2: Statistical Inference

SESSION 3:

Data Session 3: Voltage.csv

Code Session 3 - Estimator Distributions: Plot_Discrete_Distributions.R, T_Variance_Known.R, Chi_Squared_n.R, Chi_Squared_n_minus_1.R,
T_Variance_Unknown.R, F_Estimator.R

Code Session 3 - Confidence Intervals & Hypothesis Testing:
Voltage_Mu_Sigma_X_Intervals.R, Voltage_Hypothesis_1.R, Voltage_Hypothesis_2.R, Voltage_Hypothesis_3.R, Voltage_Hypothesis_4, Voltage_Type_II_Error.R, Voltage_OC_curve.R

SESSION 4:

Data Session 4: Voltage.csv, LeanAngle.csv

Code Session 4- Distribution Fitting:
Voltage_Normal_MOM_Fit.R, Voltage_Gamma_MOM_Fit.R, Voltage_Gamma_Minitab_Fit.R, Voltage_Normal_MLE_Fit.R

Code Session 4 - Chi-Squared Test:
Plot_Discrete_Distributions.R
Voltage_ChiSquared_Test_Normal_Distribution_Equal_Bin_Width.R
Voltage_ChiSquared_Test_Normal_Distribution_Equal_Probability.R
Voltage_ChiSquared_Test_Gamma_Distribution_Equal_Bin_Width.R
Voltage_ChiSquared_Test_Gamma_Distribution_Equal_Probability.R
Voltage_CDF_Fit_Comparison.R

Code Session 4 - QQ Plots + Credibility Intervals:
Voltage_QQ_Plots.R
Norm_Conf_Cred_Var_UnKnown.R

Code Session 4 - Two Sample test on the mean and variance:
LeanAngle.R

Part 3: Hotelling's T^2 Multivariate Test

SESSION 5:

Data Session 5: HeightWeight.csv

Code Session 5- Matrix Calculations: Matrix_Calculations.R

Code Session 5- Height Weight Analysis: Height_Weight.R

SESSION 6:

Data Session 6: HeightWeight.csv

Code Session 6: Hottelling T2 Test: Hotelling_Height_Weight.R, Hotelling_Power_Data_Example_Equal_COVAR.R, Hotelling_Power_Data_Example_No_Equal_COVAR.R

Code Session 6: Box M Test: BoxM_Power_Data_Example_Large_Sample.R, BoxM_Power_Data_Example_Small_Sample.R

SESSION 7:

SESSION 8: MIDTERM EXAM

SESSION 9 & SESSION 10:

Data Session 9 & 10: HeightWeight.csv, Leslie_Salt.csv

Code Session 9 & 10: Height_Weight_Regression.R, Leslie_Salt.R

SESSION 11:

Data Session 11: StockPrices_3.csv, StockPrices_5.csv, StockPrices_5_Cor_Matrix.csv

Code Session 11: Stocks_3.R, Stocks_5.R, Stocks_5 - CorrelationMatrixOnly.R

SESSION 12:

Data Session 12: GSP.csv

Code Session 12: GSP_RAW.R, GSP_NORMALIZED.R

SESSION 13:

Data Session 13: Tensile_Strength.csv

Code Session 13: Tensile_Strength.R, Tensile_Strength_Analysis.R

SESSION 14:

Data Session 14: AdhesionForce.csv, Routing_Data.csv, Etching_Data.csv

Code Session 14: AdhesionForce.R, AdhesionForce_Analysis.R, Routing_Experiment.R, Etching_Experiment.R