Variables analyzed (Yahoo finance) Boeing (BA) NASDAQ Dell General Electric (GE) General Motors (GM) IBM McDonalds (MD) Microsoft (MSFT) Coca Cola Pepsi.

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Presentation transcript:

Variables analyzed (Yahoo finance) Boeing (BA) NASDAQ Dell General Electric (GE) General Motors (GM) IBM McDonalds (MD) Microsoft (MSFT) Coca Cola Pepsi Cola

Original data (Yahoo finance)

Logarithm base 10 of data

Scree plot (values of PC’s variances)

First two principal components

Loadings

First two principal components less the means, sign corrected

Detrended time series (STL)

Normal Probability Plots for Detrended Data BANASDAQ MSFTPEPSI

Scree plot (values of PC’s variances)

Loadings

Chi-square Normality test using original data (p=10)

Chi-square Normality test (BA+NASDAQ)

Normality test (BA+NASDAQ) Boeing NASDAQ

Chi-square Normality test (NASDAQ+DELL)

Normality test (NASDAQ+DELL) NASDAQ DELL

Chi-square Normality test using PCs (p=10)

Chi-square Normality test using PC1+PC2

Normality test using PC1+PC2 PC1 PC2

Normality test, using PC1 + PC2 Principal component 1 Principal component 2

Chi-square Normality test using PC3 + …+ PC10

Relationship between PC1 and data Principal component 1 BOEING

Relationship between PC1 and data Principal component 1 NASDAQ

Relationship between PC3 and data Principal component 3 COCA

Time series of statistical distance for PC3, …, PC10 Time series of statistical distance for PC1 and PC2

First two PCs for 3000 initial data points PC1 PC2

First two PCs for 3000 initial data points PC1 PC2

First two PCs for data points PC1 PC2

First two PCs for data points PC1 PC2

First two PCs for data points PC1 PC2