Download Proposed Changes to the Statistics Component of the Taxonomy

Current Statistics and ProbabilityTaxonomy
(Source: http://people.uncw.edu/hermanr/MathTax/)
9.0 Statistics and Probability
9.1. Data
9.1.1. Data Collection
9.1.1.1. Experimental Design
9.1.1.2. Sampling
9.1.1.3. Survey
9.1.2. Data Representation
9.1.2.1. Graphs
9.1.2.2. BoxPlots
9.1.2.3. StemPlots
9.1.2.4. Tables
9.2. Statistics
9.2.1. Elementary Statistics
9.2.1.1. Mean
9.2.1.2. Median
9.2.1.3. Mode
9.2.1.4. Standard Deviation
9.2.1.5. Correlation
9.2.1.6. Distribution
9.2.2. Sampling
9.2.3. Linear Regression
9.2.4. Nonlinear Regression
9.2.5. Queuing Theory
9.2.6. Bayesian Statistics
9.2.7. Confidence Testing
9.3. Probability
9.3.1. Elementary Probability
9.3.1.1. Sample Space
9.3.1.2. Events
9.3.1.3. Independence
9.3.1.4. Combinations and Permutations
9.3.2. Random Variables
9.3.2.1. Discrete Distributions
9.3.2.2. Continuous Distributions
9.3.2.3. Expected Value
9.3.2.4. Variance
9.3.3. Limit Theorems
9.3.3.1. Central Limit Theorem
9.3.3.2. Laws of Large Numbers
9.3.4. Brownian Motion
9.3.5. Markov Chains
9.3.6. Probability Measures
9.3.7. Stochastic Processes
Draft Statistics and Probability Taxonomy Revision
(May 14, 2004)
9.0 Statistics and Probability
9.1 Data Collection
9.1.1
Observational Studies
9.1.1.1 Cross-Sectional
9.1.1.2 Longitudinal
9.1.1.3 Study Bias Issues
9.1.2
Sampling and Survey Issues
9.1.2.1 Probability and Sampling
9.1.2.2 Nonprobability Sampling
9.1.2.3 Survey Methods
9.1.3
Design of Experiments
9.1.3.1 Matching & Blocking
9.1.3.2 Factorial Designs
9.1.4
Measurements Properties and Issues
9.1.4.1 Variable Classification
9.1.4.2 Variable Validity, Reliability, Bias
9.1.5
Data Management and Organization
9.1.5.1 Missing data
9.1.5.2 Outliers
9.2 Data Presentation
9.2.1
One Categorical Variable
9.2.1.1 Graphical Displays
9.2.1.2 Counts and Proportions
9.2.2
One Numerical Variable
9.2.2.1 Graphical Displays
9.2.2.2 Measures of Location
9.2.2.3 Measures of Spread
9.2.3
Multivariate Categorical Relationships
9.2.3.1 Graphical Displays
9.2.3.2 Tables
9.2.4
Multivariate Quantitative Relationships
9.2.4.1 Scatterplot
9.2.4.2 Correlation
9.2.4.3 Regression
9.2.5
Categorical versus Quantitative
9.2.6
Comparative Graphs
9.3 Statistical Inference and Techniques
9.3.1
Sampling Distributions
9.3.2
Estimation Principles
9.3.3
Significance Testing Principles
9.3.4
One Numerical Variable Methods
9.3.4.1 Location
9.3.4.2 Scale
9.3.4.3 Goodness of Fit
9.3.5
Categorical Methods
9.3.5.1 Proportions
9.3.5.2 Association and Odds Ratios
9.3.5.3 Goodness of Fit
9.3.6
9.3.7
9.3.8
9.3.9
9.3.10
9.3.11
9.3.12
Linear Models
9.3.6.1 Categorical ANOVA
9.3.6.2 Quantitative ANOVA
9.3.6.3 Logistic Regression
9.3.6.4 Regression
Survival Analysis
Statistical Quality Control
Nonparametric Techniques
Multivariate Techniques
Design of Experiments
Nonlinear Models
9.4 Probability
9.4.1
Elementary Probability
9.4.1.1 Sample Space and Sets
9.4.1.1.1
Events
9.4.1.1.2
Sets
9.4.1.2 General Rules
9.4.1.2.1
Basic Rules
9.4.1.2.2
Addition
9.4.1.2.3
Multiplication
9.4.1.2.4
Conditional Probability
9.4.1.2.5
Independence
9.4.1.3 Counting Methods for Probability
9.4.1.3.1
Combinations
9.4.1.3.2
Permutations
9.4.1.4 Random Variables
9.4.2
Univariate Distributions
9.4.2.1 Discrete
9.4.2.2 Continuous
9.4.2.3 Expectations
9.4.2.4 Functions of Random Variables
9.4.3
Limit Theorems
9.4.3.1 Central Limit Theorem
9.4.3.2 Laws of Large Numbers
9.4.4
Multivariate Distributions
9.4.4.1 Joint
9.4.4.2 Conditional
9.4.4.3 Expectations
9.4.4.3.1
Covariance
9.4.4.3.2
Correlation
9.4.4.4 Functions of Random Variables
9.4.5
Simulation
9.4.6
Stochastic Processes
9.4.6.1 Markov Chains
9.4.6.2 Poisson Processes
9.4.6.3 Renewal Theory
9.4.6.4 Queuing Theory
9.4.6.5 Reliability Theory
9.4.6.6 Branching Processes
9.4.6.7 Brownian Motion
9.4.6.8 Stationary Processes
9.4.7
Probability Measures