In miketay123/MATH4793tayl0048: Functions for MATH4793 Class

knitr::opts_chunk$set(
  collapse = TRUE,
  comment = "#>"
)

library(MATH4793LABStayl0048)

Package Making

Latex Formulas

$\bar{x}k=\frac{1}{n}\sum{j=1}^{n}x_{jk}$

$s_{ik}=\frac{1}{n}*\sum_{j=1}^{n}(x_{ji}-\bar{x}{i})(x{jk}-\bar{x}_{k})$

$r_{ik}=\frac{s_{ik}}{\sqrt{s_{ii}}\sqrt{s_{kk}}}=\frac{\sum_{j=1}^{n}(x_{ji}-\bar{x}{i})(x{jk}-\bar{x}{k})}{\sqrt{{\sum{j=1}^{n}(x_{ji}-\bar{x}{i})^2}\sum{j=1}^{n}(x_{jk}-\bar{x}_{k})^2}}$

$\textbf{S}=\frac{1}{n-1}\textbf{X}^{'}(\textbf{I}-\frac{1}{n}\textbf{I I}^{'})\textbf{X}$

$$ \textbf{R}=\begin{bmatrix} \frac{s_{11}}{\sqrt{s_{11}}\sqrt{s_{11}}} & \frac{s_{12}}{\sqrt{s_{11}}\sqrt{s_{22}}} & . . . & \frac{s_{1p}}{\sqrt{s_{11}}\sqrt{s_{pp}}} \ . . . & . . . & . . .\ \frac{s_{1p}}{\sqrt{s_{11}}\sqrt{s_{pp}}} & \frac{s_{2p}}{\sqrt{s_{22}}\sqrt{s_{pp}}} & . . . & \frac{s_{pp}}{\sqrt{s_{pp}}\sqrt{s_{pp}}} \ \end{bmatrix}=\begin{bmatrix} 1 & r_{12} & ... & r_{1p} \ ... & ... & ... &...\ r_{1p} & r_{2p} & ... & 1 \ \end{bmatrix} \quad \quad $$

Examples

x=read.table("T1-2.DAT", 
           header=TRUE)

ArrayMean(x)

Course Assessment

In-class quiz each class and lab

4 Assignments (20% Total)

Laboratories (10% Total)

2 exams (10% each, Total 20%)

2 Projects, Total 10%

1 Final, 30%

miketay123/MATH4793tayl0048 documentation built on April 19, 2022, 1:27 a.m.