This course provides users with theoretical background in statistical analysis as well as practice using analysis techniques and tools required for practical applications.  Topics covered include univariate and multivariate frequency analysis, regional analysis of hydrometeorological data, and regression analysis.  Knowledge gained within the lectures is applied through the use of the Hydrologic Engineering Center’s Statistical Software Package (HEC-SSP) as well as other commercial software packages in complementary workshops.  

You will need HEC-SSP version 2.3-beta.5 or newer to open the workshop files. You can download the software here: https://www.hec.usace.army.mil/software/hec-ssp/download.aspx.  If you have any questions, please contact Mike Bartles.

You will need CRAN R version 4.2.2 or newer for the workshops.  It is available on the App Portal.  Search for "cran r".  If you have any questions, contact Greg Karlovits.

You will need RStudio version 2023.03.0+386 or newer for the workshops.  It is available on the App Portal.  Search for "rstudio".  If you have any questions, contact Greg Karlovits.

A zip file containing the data files for each workshop is here: 058 statistical methods COURSE FILES.7z

The links to pre-recorded lectures are provided below. Captions are available for all YouTube lecture videos. However, all lectures will be delivered live in the May 2023 course.

Day 1

StartEndDuration (min)ModuleTopic

Instructors

Links to MaterialSupplementary Pre-Recorded Lectures
8:008:3030AdminAdmin

8:3011:30180

Lecture and Workshops  L1.1

Introduction to Probability, Statistics, and Distributions

L1.1 Basic Probability and Statistics 2023.pptx


Basic Prob and Stats playlist




W1.1Intro workshops
11:3012:3060
Lunch


12:301:1545

Lecture  L1.2

Exploratory Data Analysis


Exploratory Data Analysis Playlist
1:152:3075

Workshop  W1.3

Exploratory Data Analysis
2:302:4515
Break


2:453:4560

Lecture  L1.4

Parametric Modeling

3:455:0075

Lecture  L1.5

Time Series Analysis

L1.5 Time Series Analysis.pptx

Time Series Analysis Playlist

Day 2

StartEndDuration (min)ModuleTopic

Instructors

Links to MaterialSupplementary Pre-Recorded Lectures
8:008:1515ReviewReview of Monday


8:159:1560Lecture L2.1

Introduction to HEC-SSP


9:1510:3075Workshop  W2.2Introduction to HEC-SSP

workshop link:

Introduction to HEC-SSP


10:3010:4515
Break


10:4511:4560Workshop  W2.3Parametric Modeling

workshop link:

Parametric Modeling


11:4512:4560
Lunch


12:451:4560
Parametric Modeling (continued)

1:452:4560Lecture  L2.4

Bulletin 17B, 17C and the Expected Moments Algorithm

Bulletin 17B and 17C Playlist
2:453:0015
Break


3:004:3090Workshop  W 2.5Bulletin 17C in HEC-SSP

workshop link:

Bulletin 17B and Bulletin 17C


Day 3

StartEndDuration (min)ModuleTopic

Instructors

Links to MaterialSupplementary Pre-Recorded Lectures
8:008:1515Review

review of Tuesday




8:159:4590Lecture and workshop  L3.1

Monte Carlo Analysis


Monte Carlo Simulation Playlist



Workshop W3.1



materials link:

Monte Carlo exercises


9:4510:0015
Break


10:0011:1575Lecture  L3.2

Uncertainty in Frequency Estimates


Uncertainty in Frequency Estimates Playlist
11:1512:1560Workshop  W3.3Uncertainty in Frequency Estimates

workshop link:

Uncertainty in Probability Estimates


12:151:1560
Lunch


1:152:3075Lecture  L3.4

Extreme Value Theory


Extreme Value Theory Playlist
2:303:4575Workshop  W3.5Extreme Value Theory

workshop link:

Extreme Value Theory


3:454:0015

Break




4:005:0060Lecture  L3.6Regionalization: Index FloodIndex Flood Regionalization Playlist

Day 4

StartEndDuration (min)ModuleTopic

Instructors

Links to MaterialSupplementary Pre-Recorded Lectures
8:008:1515Review

review of Wednesday




8:159:3075Lecture  L4.1

Precipitation Frequency Analysis

Precipitation Frequency Analysis Playlist
9:309:4515

Break




9:4510:3045Lecture  L4.2

Multivariate Analysis

Multivariate Analysis Playlist
10:3010:4515
Break


10:4511:4560Lecture  L4.3

Coincident Frequency Analysis/Monte Carlo Joint Distribution

Coincident Frequency Playlist
11:4512:4560
Lunch


12:452:0075Workshop  W4.4Coincident Frequency Analysis/Monte Carlo Joint Distribution

workshop link:

Coincident Frequency Analysis workshop


2:003:0060Lecture  L4.5

Simple Linear Regression

Linear Regression Playlist
3:003:1515Break





3:154:1560Workshop  W4.6Simple Linear Regression

workshop link:

Linear Regression Using R

supplementary material:

A Very Brief Introduction to the R Programming Language


4:155:0045Lecture  L4.7Applications of Regression - Streamflow Record Extention

Day 5

StartEndDuration (min)ModuleTopic

Instructors

Links to MaterialSupplementary Pre-Recorded Lectures
8:008:1515Review

review of Thursday



8:159:0045Lecture  L5.1

Multiple Linear Regression

Multiple Linear Regression Playlist
9:0011:00120Workshop  W5.2Multiple Linear Regression

workshop link:

Multiple Linear Regression Using R

supplementary material:

A Very Brief Introduction to the R Programming Language


11:0011:1515Break



11:1512:0045AdminWrap-up