Difference between revisions of "AP Statistics Curriculum 2007"

Revision as of 16:14, 19 June 2007

This is a General Advance-Placement (AP) Statistics Curriculum E-Book

1 Preface
- 1.1 Format
2 Chapter I: Introduction to Statistics
3 Chapter II: Describing, Exploring, and Comparing Data
4 Chapter III: Probability
5 Probability Distributions
6 Chapter IV: Normal Probability Distributions
7 Chapter V: Relations Between Distributions
8 Chapter VI: Estimates and Sample Sizes
9 Chapter VII: Hypothesis Testing
10 Chapter VIII: Inferences from Two Samples
11 Chapter IX: Correlation and Regression
12 Chapter X: Multinomial Experiments and Contingency Tables=
- 12.1 Multinomial Experiments: Goodness-of-Fit
- 12.2 Contingency Tables: Independence and Homogeneity
13 Chapter XI: Statistical Process Control
- 13.1 Control Charts for Variation and Mean
- 13.2 Control Charts for Attributes

Preface

This is an Internet-based E-Book for advance-placement (AP) statistics educational curriculum. The e-book is initially developed by the UCLA Statistics Online Computational Resource (SOCR), however, any statistics instructor, researcher or educator is encouraged to contribute to this effort and improve the content of these learning materials.

Format

Follow the instructions in this page to expand, revise or improve the materials in this e-book.

Chapter I: Introduction to Statistics

The Nature of Data & Variation

No mater how controlled the environment, the protocol or the design, virtually any repeated measurement, observation, experiment, trial, study or survey is bound to generate data that varies because of intrinsic (internal to the system) or extrinsic (due to the ambient environment) effects. How many natural processes or phenomena in real life can we describe that have an exact mathematical closed-form description and are completely deterministic? How do we model the rest of the processes that are unpredictable and have random characteristics?

Uses and Abuses of Statistics

Statistics is the science of variation, randomness and chance. As such, statistics is different from other sciences, where the processes being studied obey exact deterministic mathematical laws. Statistics provides quantitative inference represented as long-time probability values, confidence or prediction intervals, odds, chances, etc., which may ultimately be subjected to varying interpretations. The phrase Uses and Abuses of Statistics refers to the notion that in some cases statistical results may be used as evidence to seemingly opposite theses. However, most of the time, common principles of logic allow us to disambiguate the obtained statistical inference.

Design of Experiments

Design of experiments is the blueprint for planning a study or experiment, performing the data collection protocol and controlling the study parameters for accuracy and consistency. Data, or information, is typically collected in regard to a specific process or phenomenon being studied to investigate the effects of some controlled variables (independent variables or predictors) on other observed measurements (responses or dependent variables). Both types of variables are associated with specific observational units (living beings, components, objects, materials, etc.)

Statistics with Tools (Calculators and Computers)

Overview TBD

Chapter II: Describing, Exploring, and Comparing Data

Chapter X: Multinomial Experiments and Contingency Tables=

Multinomial Experiments: Goodness-of-Fit

Overview TBD

Contingency Tables: Independence and Homogeneity

Overview TBD

Chapter XI: Statistical Process Control

Control Charts for Variation and Mean

Overview TBD

Control Charts for Attributes

Overview TBD

SOCR Home page: http://www.socr.ucla.edu

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@@ Line 1: / Line 1: @@
-==This is an Outline of a General Advance-Placement (AP) Statistics Curriculum==
+This is a General Advance-Placement (AP) Statistics Curriculum E-Book
-===[[AP_Statistics_Curriculum_2007_Preface| Preface]]===
+==[[AP_Statistics_Curriculum_2007_Preface| Preface]]==
 This is an Internet-based E-Book for advance-placement (AP) statistics educational curriculum. The e-book is initially developed by the UCLA [[SOCR | Statistics Online Computational Resource (SOCR)]], however, any statistics instructor, researcher or educator is encouraged to contribute to this effort and improve the content of these learning materials.
@@ Line 7: / Line 7: @@
 Follow the instructions in [[AP_Statistics_Curriculum_2007_Format| this page]] to expand, revise or improve the materials in this e-book.
-===Chapter I: Introduction to Statistics===
+==Chapter I: Introduction to Statistics==
-====[[AP_Statistics_Curriculum_2007_IntroVar | The Nature of Data & Variation]]====
+===[[AP_Statistics_Curriculum_2007_IntroVar | The Nature of Data & Variation]]===
 No mater how controlled the environment, the protocol or the design, virtually any repeated measurement, observation, experiment, trial, study or survey is bound to generate data that varies because of intrinsic (internal to the system) or extrinsic (due to the ambient environment) effects. How many natural processes or phenomena in real life can we describe that have an exact mathematical closed-form description and are completely deterministic? How do we model the rest of the processes that are unpredictable and have random characteristics?
-====[[AP_Statistics_Curriculum_2007_IntroUses |Uses and Abuses of Statistics]] ====
+===[[AP_Statistics_Curriculum_2007_IntroUses |Uses and Abuses of Statistics]]===
 Statistics is the science of variation, randomness and chance. As such, statistics is different from other sciences, where the processes being studied obey exact deterministic mathematical laws. Statistics provides quantitative inference represented as long-time probability values, confidence or prediction intervals, odds, chances, etc., which may ultimately be subjected to varying interpretations. The phrase ''Uses and Abuses of Statistics'' refers to the notion that in some cases statistical results may be used as evidence to seemingly opposite theses. However, most of the time, common [http://en.wikipedia.org/wiki/Logic principles of logic] allow us to disambiguate the obtained statistical inference.
-====[[AP_Statistics_Curriculum_2007_IntroDesign | Design of Experiments]] ====
+===[[AP_Statistics_Curriculum_2007_IntroDesign | Design of Experiments]]===
 Design of experiments is the blueprint for planning a study or experiment, performing the data collection protocol and controlling the study parameters for accuracy and consistency. Data, or information, is typically collected in regard to a specific process or phenomenon being studied to investigate the effects of some controlled variables (independent variables or predictors) on other observed measurements (responses or dependent variables). Both types of variables are associated with specific observational units (living beings, components, objects, materials, etc.)
-====[[AP_Statistics_Curriculum_2007_IntroTools |Statistics with Tools (Calculators and Computers)]]====
+===[[AP_Statistics_Curriculum_2007_IntroTools |Statistics with Tools (Calculators and Computers)]]===
 Overview TBD
-===Chapter II: Describing, Exploring, and Comparing Data===
+==Chapter II: Describing, Exploring, and Comparing Data==
-====[[AP_Statistics_Curriculum_2007_EDA_Freq |Summarizing data with Frequency Tables ]]====
+===[[AP_Statistics_Curriculum_2007_EDA_Freq |Summarizing data with Frequency Tables ]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_EDA_Pics |Pictures of Data]] ====
+===[[AP_Statistics_Curriculum_2007_EDA_Pics |Pictures of Data]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_EDA_Center |Measures of Central Tendency]] ====
+===[[AP_Statistics_Curriculum_2007_EDA_Center |Measures of Central Tendency]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_EDA_Var |Measures of Variation]] ====
+===[[AP_Statistics_Curriculum_2007_EDA_Var |Measures of Variation]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_EDA_Shape |Measures of Shape]]====
+===[[AP_Statistics_Curriculum_2007_EDA_Shape |Measures of Shape]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_EDA_Plots | Graphs & Exploratory Data Analysis]] ====
+===[[AP_Statistics_Curriculum_2007_EDA_Plots | Graphs & Exploratory Data Analysis]] ===
-===Chapter III: Probability===
+==Chapter III: Probability==
-====[[AP_Statistics_Curriculum_2007_Prob_Basics |Fundamentals]]====
+===[[AP_Statistics_Curriculum_2007_Prob_Basics |Fundamentals]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Prob_Rules |Addition & Multiplication Rules]] ====
+===[[AP_Statistics_Curriculum_2007_Prob_Rules |Addition & Multiplication Rules]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Prob_Simul |Probabilities Through Simulations]] ====
+===[[AP_Statistics_Curriculum_2007_Prob_Simul |Probabilities Through Simulations]] ===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Prob_Count |Counting]] ====
+===[[AP_Statistics_Curriculum_2007_Prob_Count |Counting]]===
 Overview TBD
-===Probability Distributions===
+==Probability Distributions==
-====[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]] ====
+===[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Distrib_Binomial |Bernoulli & Binomial Experiments]] ====
+===[[AP_Statistics_Curriculum_2007_Distrib_Binomial |Bernoulli & Binomial Experiments]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Distrib_Dists |Geometric, HyperGeometric & Negative Binomial]]====
+===[[AP_Statistics_Curriculum_2007_Distrib_Dists |Geometric, HyperGeometric & Negative Binomial]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Distrib_Poisson |Poisson Distribution]]====
+===[[AP_Statistics_Curriculum_2007_Distrib_Poisson |Poisson Distribution]]===
 Overview TBD
-===Chapter IV: Normal Probability Distributions===
+==Chapter IV: Normal Probability Distributions==
-====[[AP_Statistics_Curriculum_2007_Normal_Std |The Standard Normal Distribution]] ====
+===[[AP_Statistics_Curriculum_2007_Normal_Std |The Standard Normal Distribution]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Normal_Prob |Nonstandard Normal Distribution: Finding Probabilities]] ====
+===[[AP_Statistics_Curriculum_2007_Normal_Prob |Nonstandard Normal Distribution: Finding Probabilities]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Normal_Critical |Nonstandard Normal Distributions: Finding Scores (critical values)]] ====
+===[[AP_Statistics_Curriculum_2007_Normal_Critical |Nonstandard Normal Distributions: Finding Scores (critical values)]]===
 Overview TBD
-===Chapter V: Relations Between Distributions===
+==Chapter V: Relations Between Distributions==
-====[[AP_Statistics_Curriculum_2007_Limits_CLT |The Central Limit Theorem]] ====
+===[[AP_Statistics_Curriculum_2007_Limits_CLT |The Central Limit Theorem]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Limits_LLN |Law of Large Numbers]]====
+===[[AP_Statistics_Curriculum_2007_Limits_LLN |Law of Large Numbers]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Limits_Norm2Bin |Normal Distribution as Approximation to Binomial Distribution]] ====
+===[[AP_Statistics_Curriculum_2007_Limits_Norm2Bin |Normal Distribution as Approximation to Binomial Distribution]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Limits_Poisson2Bin |Poisson Approximation to Binomial Distribution]] ====
+===[[AP_Statistics_Curriculum_2007_Limits_Poisson2Bin |Poisson Approximation to Binomial Distribution]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Limits_Bin2HyperG |Binomial Approximation to HyperGeometric]]====
+===[[AP_Statistics_Curriculum_2007_Limits_Bin2HyperG |Binomial Approximation to HyperGeometric]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Limits_Norm2Poisson |Normal Approximation to Poisson]]====
+===[[AP_Statistics_Curriculum_2007_Limits_Norm2Poisson |Normal Approximation to Poisson]]===
 Overview TBD
-===Chapter VI: Estimates and Sample Sizes===
+==Chapter VI: Estimates and Sample Sizes==
-====[[AP_Statistics_Curriculum_2007_Estim_L_Mean |Estimating a Population Mean: Large Samples]] ====
+===[[AP_Statistics_Curriculum_2007_Estim_L_Mean |Estimating a Population Mean: Large Samples]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Estim_S_Mean |Estimating a Population Mean: Small Samples]] ====
+===[[AP_Statistics_Curriculum_2007_Estim_S_Mean |Estimating a Population Mean: Small Samples]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Estim_Proportion |Estimating a Population Proportion]] ====
+===[[AP_Statistics_Curriculum_2007_Estim_Proportion |Estimating a Population Proportion]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Estim_Var |Estimating a Population Variance]]====
+===[[AP_Statistics_Curriculum_2007_Estim_Var |Estimating a Population Variance]]===
 Overview TBD
-===Chapter VII: Hypothesis Testing===
+==Chapter VII: Hypothesis Testing==
-====[[AP_Statistics_Curriculum_2007_Hypothesis_Basics |Fundamentals of Hypothesis Testing]] ====
+===[[AP_Statistics_Curriculum_2007_Hypothesis_Basics |Fundamentals of Hypothesis Testing]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Hypothesis_L_Mean |Testing a Claim about a Mean: Large Samples]] ====
+===[[AP_Statistics_Curriculum_2007_Hypothesis_L_Mean |Testing a Claim about a Mean: Large Samples]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Hypothesis_S_Mean |Testing a Claim about a Mean: Small Samples]] ====
+===[[AP_Statistics_Curriculum_2007_Hypothesis_S_Mean |Testing a Claim about a Mean: Small Samples]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Hypothesis_Proportion |Testing a Claim about a Proportion]] ====
+===[[AP_Statistics_Curriculum_2007_Hypothesis_Proportion |Testing a Claim about a Proportion]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Hypothesis_Var |Testing a Claim about a Standard Deviation or Variance]]====
+===[[AP_Statistics_Curriculum_2007_Hypothesis_Var |Testing a Claim about a Standard Deviation or Variance]]===
 Overview TBD
-===Chapter VIII: Inferences from Two Samples===
+==Chapter VIII: Inferences from Two Samples==
-====[[AP_Statistics_Curriculum_2007_Infer_2Means_Dep |Inferences about Two Means: Dependent Samples]] ====
+===[[AP_Statistics_Curriculum_2007_Infer_2Means_Dep |Inferences about Two Means: Dependent Samples]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Infer_2Means_Indep |Inferences about Two Means: Independent and Large Samples]] ====
+===[[AP_Statistics_Curriculum_2007_Infer_2Means_Indep |Inferences about Two Means: Independent and Large Samples]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Infer_BiVar |Comparing Two Variances]] ====
+===[[AP_Statistics_Curriculum_2007_Infer_BiVar |Comparing Two Variances]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Infer_2Means_S_Indep |Inferences about Two Means: Independent and Small Samples]]====
+===[[AP_Statistics_Curriculum_2007_Infer_2Means_S_Indep |Inferences about Two Means: Independent and Small Samples]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Infer_2Proportions |Inferences about Two Proportions]] ====
+===[[AP_Statistics_Curriculum_2007_Infer_2Proportions |Inferences about Two Proportions]]===
 Overview TBD
-===Chapter IX: Correlation and Regression===
+==Chapter IX: Correlation and Regression==
-====[[AP_Statistics_Curriculum_2007_GLM_Corr |Correlation]] ====
+===[[AP_Statistics_Curriculum_2007_GLM_Corr |Correlation]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_GLM_Regress |Regression]] ====
+===[[AP_Statistics_Curriculum_2007_GLM_Regress |Regression]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_GLM_Predict |Variation and Prediction Intervals]] ====
+===[[AP_Statistics_Curriculum_2007_GLM_Predict |Variation and Prediction Intervals]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_GLM_MultLin |Multiple Regression]] ====
+===[[AP_Statistics_Curriculum_2007_GLM_MultLin |Multiple Regression]]===
 Overview TBD
-===Chapter X: Multinomial Experiments and Contingency Tables===
+==Chapter X: Multinomial Experiments and Contingency Tables===
-====[[AP_Statistics_Curriculum_2007_Contingency_Fit |Multinomial Experiments: Goodness-of-Fit]] ====
+===[[AP_Statistics_Curriculum_2007_Contingency_Fit |Multinomial Experiments: Goodness-of-Fit]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Contingency_Indep |Contingency Tables: Independence and Homogeneity]]====
+===[[AP_Statistics_Curriculum_2007_Contingency_Indep |Contingency Tables: Independence and Homogeneity]]===
 Overview TBD
-===Chapter XI: Statistical Process Control===
+==Chapter XI: Statistical Process Control==
-====[[AP_Statistics_Curriculum_2007_Control_MeanVar |Control Charts for Variation and Mean]] ====
+===[[AP_Statistics_Curriculum_2007_Control_MeanVar |Control Charts for Variation and Mean]]===
 Overview TBD
-====[[AP_Statistics_Curriculum_2007_Control_Attrib |Control Charts for Attributes]]====
+===[[AP_Statistics_Curriculum_2007_Control_Attrib |Control Charts for Attributes]]===
 Overview TBD

Difference between revisions of "AP Statistics Curriculum 2007"

Revision as of 16:14, 19 June 2007

Contents

Chapter I: Introduction to Statistics

Chapter II: Describing, Exploring, and Comparing Data

Chapter III: Probability

Probability Distributions

Chapter IV: Normal Probability Distributions

Chapter V: Relations Between Distributions

Chapter VI: Estimates and Sample Sizes

Chapter VII: Hypothesis Testing

Chapter VIII: Inferences from Two Samples

Chapter IX: Correlation and Regression

Chapter X: Multinomial Experiments and Contingency Tables=

Chapter XI: Statistical Process Control

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