Publications by Juan Carlos Soto
Kruskal-Wallis Test in R
Introduction The Kruskal-Wallis test is a non-parametric alternative to ANOVA. It tests the null hypothesis that the medians of multiple independent groups are equal. This test is useful when the assumptions of ANOVA (normality and equal variances) are violated. Load necessary libraries library(dplyr) ## ## Attaching package: 'dplyr' ## The f...
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Fractional Factorial in R
Introduction In this analysis, we use the FrF2 package in R to create and analyze factorial designs with resolution III and IV. We will also explore the relationships between factors and their interactions using visualizations like Half Normal plots and Main Effects plots. Setup and Initialization install.packages(“FrF2”) library(FrF2) ## ...
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Data Frames in R
Introduction This document demonstrates basic data manipulation techniques in R, including creating and modifying data frames, assigning row and column names, and changing data types. Code Execution and Explanation Create Two Vectors # Create two numeric vectors var1 <- c(23, 54, 76, 34, 56, 32, 45, 66, 43, 28, 64, 27) var2 <- c(43, 12, 56, 4...
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Homework_Module5_JCS
Problem 5.2 - Part(a) # Load necessary library library(GAD) # Hypothetical response values based on the structure of the problem response <- c(1.2, 1.4, 1.3, 1.5, 2.2, 2.4, 2.3, 2.5) # Replace with actual data # Create factors for A and B factor_A <- factor(rep(c("A1", "A2"), each = 4)) # 2 levels for factor A factor_B <- factor(rep(c("B1...
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Homework-Module 4 Juan Carlos Soto
Problem 3.23 # Input the data manually Fluid_Type <- factor(rep(1:4, each = 6)) Life <- c(17.6, 18.9, 16.3, 17.4, 20.1, 21.6, # Fluid Type 1 16.9, 15.3, 18.6, 17.1, 19.5, 20.3, # Fluid Type 2 21.4, 23.6, 19.4, 18.5, 20.5, 22.3, # Fluid Type 3 19.3, 21.1, 16.9, 17.5, 18.3, 19.8) # Fluid Type 4 # Combine into ...
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Homework #2 IE43331 -Juan Carlos Soto
Problem 3.7 c) Perform ANOVA and LSD test # Load necessary library options(repos = c(CRAN = "https://cran.rstudio.com/")) install.packages("agricolae") ## Installing package into 'C:/Users/juank/AppData/Local/R/win-library/4.4' ## (as 'lib' is unspecified) ## package 'agricolae' successfully unpacked and MD5 sums checked ## ## The downloaded...
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Flipped Assingment 12
Problem #1 A sample of size n is to be drawn from a population with a known mean of m = 25.4 and a standard deviation of s = 2.8. Using the Central Limit Theorem a.What is the probability that the average of the n observations is less than 25.3 when … i.n=10? ii.n=25? iii.n=50? # Population parameters mu <- 25.4 sigma <- 2.8 # Sample size n <-...
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Flipped Assingment 11
Descriptive Statistics using R Problem #1 #1. Consider the following 20 samples drawn from a population: 24.7 23.5 14.7 13.4 24.2 25.4 12.1 15.0 19.6 22.9 21.2 18.4 25.0 14.5 14.2 21.8 21.2 15.7 22.6 21.2 data <- c(24.7, 23.5, 14.7, 13.4, 24.2, 25.4, 12.1, 15.0, 19.6, 22.9, 21.2, 18.4, 25.0, 14.5, 14.2, 21.8, 21.2, 15.7, 22.6, 21.2) a)Calcula...
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Flipped Assingment 9
Discrete Distribution Problem Statement 1 A quality control inspector randomly samples 25 products from a production line and counts the number of defective products in the sample. Suppose it is known that the probability any one product is defective is 0.12 a.Plot the probability distribution plot(x=0:25,dbinom(x=0:25,size=25,prob=.12)) b. Wha...
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