Statistics for life and health sciences EBook

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[[Image:Stats13_EBook_Logo.png|150px|thumbnail|right| [[Stats 13 EBook]] ]]
[[Image:Stats13_EBook_Logo.png|150px|thumbnail|right| [[Stats 13 EBook]] ]]
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==[[AP_Statistics_Curriculum_2007_Preface| Preface]]==
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==Preface==
This is an Internet-based ''probability and statistics for biomedical and health sciences EBook''. The materials, tools and demonstrations presented in this EBook would are used for the [http://www.registrar.ucla.edu/catalog/catalog12-13-786.htm UCLA Statistics 13 course]. The EBook is developed, updated and manages by the [http://directory.stat.ucla.edu/ UCLA Statistics faculty] teaching this course over the years. Many other instructors, researchers, students and educators have contributed to this EBook.
This is an Internet-based ''probability and statistics for biomedical and health sciences EBook''. The materials, tools and demonstrations presented in this EBook would are used for the [http://www.registrar.ucla.edu/catalog/catalog12-13-786.htm UCLA Statistics 13 course]. The EBook is developed, updated and manages by the [http://directory.stat.ucla.edu/ UCLA Statistics faculty] teaching this course over the years. Many other instructors, researchers, students and educators have contributed to this EBook.
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===Format===
===Format===
-
....
+
Each section in this EBook includes
 +
* Motivation
 +
* Concepts, definitions, formulations
 +
* Examples
 +
* Small (mock-up) and real (research-derived) data
 +
* Webapp demonstration with real data (HTML5)
 +
* R programming
 +
* Problems
===Pedagogical Use===
===Pedagogical Use===
...
...
-
===Copyrights===
+
===Copyright===
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The Probability and Statistics EBook is a freely and openly accessible electronic book for the entire community ...
+
The Probability and Statistics EBook is a freely and openly accessible electronic book for the entire community under [http://creativecommons.org/licenses/by/3.0/us/ CC-BY license] ...
 +
 
 +
==Chapter I: Introduction to Statistics ==
 +
 
 +
==Chapter II: Data and variability==
 +
* Data
 +
* R data management (Import and Export)
 +
* Histograms, densities and summary statistics
 +
 
 +
==Chapter III: Randomization-based statistical inference==
 +
* Samples, Populations, Repeated Samples, Resampling
 +
* Bootstrapping
 +
* Testing 1, 2 or more samples
 +
* Confidence intervals
 +
 
 +
==Chapter IV: Probability Models==
 +
 
 +
==Chapter V: Statistical Models==
 +
 
 +
==Chapter VI: Parametric Model-based Inference==
 +
* Hypothesis testing foundations
 +
* Type I and II errors, Power, sensitivity, specificity
 +
 
 +
===One sample inference===
 +
* T-Test
 +
* Normal Z-test
 +
* Confidence intervals
 +
 
 +
===Two sample inference===
 +
* Independent samples
 +
* Paired samples
 +
 
 +
===More then two samples===
 +
 
 +
==Chapter VII: Limiting Theorems==
 +
* CLT
 +
* LLN
 +
 
 +
==Chapter VIII: Linear Modeling==
 +
* Parametric (simple and multivatiate) regression
 +
* Parametric ANOVA
 +
* Parametric assumptions and model validation
 +
* Non-parametric linear modeling
 +
* Randomization and Resampling based multivariate inference
 +
 
 +
==Chapter IX:==
 +
 
 +
==Chapter II:==
 +
 
 +
==Chapter II:==
 +
 
 +
==Chapter II:==
 +
 
 +
==Chapter II:==
 +
 
-
==Chapter I:
 
<hr>
<hr>
{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=Statistics_for_life_and_health_sciences_EBook}}
{{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=Statistics_for_life_and_health_sciences_EBook}}

Revision as of 23:24, 18 March 2013

Welcome to the UCLA Statistics for the Biomedical and Health Sciences (Stats 13) electronic book (EBook).

Contents

Preface

This is an Internet-based probability and statistics for biomedical and health sciences EBook. The materials, tools and demonstrations presented in this EBook would are used for the UCLA Statistics 13 course. The EBook is developed, updated and manages by the UCLA Statistics faculty teaching this course over the years. Many other instructors, researchers, students and educators have contributed to this EBook.

There are four novel features of this Statistics EBook. It is community-built and allows easy modifications and customizations, completely open-access (in terms of use and contributions), blends information technology, scientific techniques, heterogeneous data and modern pedagogical concepts, and is multilingual.

Format

Each section in this EBook includes

  • Motivation
  • Concepts, definitions, formulations
  • Examples
  • Small (mock-up) and real (research-derived) data
  • Webapp demonstration with real data (HTML5)
  • R programming
  • Problems

Pedagogical Use

...

Copyright

The Probability and Statistics EBook is a freely and openly accessible electronic book for the entire community under CC-BY license ...

Chapter I: Introduction to Statistics

Chapter II: Data and variability

  • Data
  • R data management (Import and Export)
  • Histograms, densities and summary statistics

Chapter III: Randomization-based statistical inference

  • Samples, Populations, Repeated Samples, Resampling
  • Bootstrapping
  • Testing 1, 2 or more samples
  • Confidence intervals

Chapter IV: Probability Models

Chapter V: Statistical Models

Chapter VI: Parametric Model-based Inference

  • Hypothesis testing foundations
  • Type I and II errors, Power, sensitivity, specificity

One sample inference

  • T-Test
  • Normal Z-test
  • Confidence intervals

Two sample inference

  • Independent samples
  • Paired samples

More then two samples

Chapter VII: Limiting Theorems

  • CLT
  • LLN

Chapter VIII: Linear Modeling

  • Parametric (simple and multivatiate) regression
  • Parametric ANOVA
  • Parametric assumptions and model validation
  • Non-parametric linear modeling
  • Randomization and Resampling based multivariate inference

Chapter IX:

Chapter II:

Chapter II:

Chapter II:

Chapter II:




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