Lecture Notes

Objective Analysis in the Atmospheric and Related Sciences

MWF 2:00 P.M.—2:50 A.M. PAS 488

Objective Analysis in the Atmospheric

and Related Sciences

Fall Semester 2007

MWF 2:00 P.M.—2:50 P.M. PAS 488

Week

Monday

Wednesday

Friday

Aug. 20 - Aug. 24

Course introduction

Lecture 2

Basic statistics

 

Lecture 3

Basic statistics

(continued)

 

Aug. 27 - Aug.31

Lecture 4

Basic statistics

(continued)

 

“Real” hypothesis testing

 

Lecture 5

Composite analysis

 

Lecture 6

Gamma distribution and SPI

Sep. 3 - Sep. 7

LABOR DAY

NO CLASS

 

Lecture 7

Goodness of Fit

Nonparametric tests

 

 

Lecture 8

Nonparametric tests and field significance

HOMEWORK #2 DUE

 

Sep.10 - Sep.14

Lecture 9

Field significance (continued)

Lecture 10

Regression and correlation

Lecture 11

Statistical significance of correlation

Sep. 17 – Sep. 21

 

Lecture 12

Multiple Regression

 

Lecture 13

Matrix Algebra Review

Fourth Southwest Hydrometeorology Symposium

NO CLASS

Sep. 24 - Sep. 28

 

See lecture 13

 

Matrix algebra review

(continued)

 

Lecture 15

Matrix Algebra review (continued)

 

Lecture 16

 

Matrix Algebra review (continued)

 

HOMEWORK #3 DUE

 

Oct. 1 - Oct. 5

 

Lecture 17

Matrix algebra review (continued)

Introduction to EOFs

 

Lecture 18

Introduction to EOFs (continued)

Lecture 19

Introduction to EOFs (continued)

EOFs via SVD

Oct. 8 - Oct. 12

 

See Lecture 19

EOFs via SVD (continued)

EOF Presentation

 

Lecture 21

EOF Presentation (continued)

EOFs using the correlation matrix

Lecture 22

Statistical significance of EOFs

Oct. 15 - Oct. 19

 

Lecture 23

Preparing data for EOF analysis

Final notes on EOFs

Rotated EOFs

PROJECT PROPOSALS DUE

 

 Lecture 24

Rotated EOFs (continued)

Lecture 25

 

Maximum covariance analysis

HOMEWORK #4 DUE

Oct. 22 - Oct. 26

 

Lecture 26

 

Canonical correlation analysis (CCA)

Singular spectrum analysis (SSA)

 

Lecture 27

Autocorrelation and red noise

Lecture 28

Harmonic Analysis

Oct. 29 - Nov. 2

 

Lecture 29

Harmonic Analysis (continued)

The Power Spectrum

 

 

Lecture 30

Power Spectrum degrees of freedom

Methods of computing power spectra

Lecture 31

Methods of computing power spectra (continued)

Red noise spectrum and statistical significance of spectral peaks

Nov. 5 - Nov. 9

 

Lecture 32

Red noise spectrum and statistical significance of spectral peaks (continued)

Data windows and window carpentry

HOMEWORK #5 DUE

 

 

(See previous lecture)

Data windows and window carpentry (continued)

 

UNIVERSIDAD DE SONORA SEMINAR NO CLASS

 

Nov. 12 - Nov. 16

VETERANS DAY

NO CLASS

 

Lecture 34

Cross spectral analysis

 

Lecture 35

Wavelet analysis

LAST DAY OF LECTURES

Nov. 19 - Nov. 23

TCE Forms

 

TERM PROJECT TITLES DUE

 

EARLY DISMISSAL FOR THANKSGIVING

NO CLASS

 

THANKSGIVING BREAK

NO CLASS

Nov. 26 - Nov 30

 

AZ CLIMATE CHANGE AND HIGHER ED. CONFERENCE

NO CLASS

 

ASU SEMINAR

NO CLASS

Class Project Presentations

Day 1

TWO HOUR CLASS TILL 4pm

Dec. 3 - Dec. 7

Class Project Presentations: Day 2 TWO HOUR CLASS TILL 4pm

Class Project Presentations:

Day 3

 

LAST DAY OF CLASSES

 

TERM PROJECT MANUSCRIPTS DUE

 

HOMEWORK #6 DUE

 

Dec. 10 - Dec. 14