Statistics for life and health sciences EBook
Welcome to the UCLA Statistics for the Biomedical and Health Sciences (Stats 13) electronic book (EBook).
Contents
- 1 Preface
- 2 Chapter I: Introduction to Statistics
- 3 Chapter II: Data and variability
- 4 Chapter III: Randomization-based statistical inference
- 5 Chapter IV: Probability Models
- 6 Chapter V: Statistical Models
- 7 Chapter VI: Parametric Model-based Inference
- 8 Chapter VII: Limiting Theorems
- 9 Chapter VIII: Linear Modeling
- 10 Chapter IX:
- 11 Chapter II:
- 12 Chapter II:
- 13 Chapter II:
- 14 Chapter II:
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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