Difference between revisions of "AP Statistics Curriculum 2007"

Revision as of 16:06, 19 June 2007

This is an Outline of a General Advance-Placement (AP) Statistics Curriculum

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==
-===Outline===
+===[[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.
-===Introduction to Statistics===
+===Chapter I: Introduction to Statistics===
 ====[[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?
@@ Line 20: / Line 20: @@
 Overview TBD
-===Describing, Exploring, and Comparing Data===
+===Chapter II: Describing, Exploring, and Comparing Data===
 ====[[AP_Statistics_Curriculum_2007_EDA_Freq |Summarizing data with Frequency Tables ]]====
 Overview TBD
@@ Line 38: / Line 38: @@
 ====[[AP_Statistics_Curriculum_2007_EDA_Plots | Graphs & Exploratory Data Analysis]] ====
-===Probability===
+===Chapter III: Probability===
 ====[[AP_Statistics_Curriculum_2007_Prob_Basics |Fundamentals]]====
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@@ Line 64: / Line 64: @@
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-===Normal Probability Distributions===
+===Chapter IV: Normal Probability Distributions===
 ====[[AP_Statistics_Curriculum_2007_Normal_Std |The Standard Normal Distribution]] ====
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-===Relations Between Distributions===
+===Chapter V: Relations Between Distributions===
 ====[[AP_Statistics_Curriculum_2007_Limits_CLT |The Central Limit Theorem]] ====
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@@ Line 93: / Line 93: @@
 Overview TBD
-===Estimates and Sample Sizes===
+===Chapter VI: Estimates and Sample Sizes===
 ====[[AP_Statistics_Curriculum_2007_Estim_L_Mean |Estimating a Population Mean: Large Samples]] ====
 Overview TBD
@@ Line 106: / Line 106: @@
 Overview TBD
-===Hypothesis Testing===
+===Chapter VII: Hypothesis Testing===
 ====[[AP_Statistics_Curriculum_2007_Hypothesis_Basics |Fundamentals of Hypothesis Testing]] ====
 Overview TBD
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-===Inferences from Two Samples===
+===Chapter VIII: Inferences from Two Samples===
 ====[[AP_Statistics_Curriculum_2007_Infer_2Means_Dep |Inferences about Two Means: Dependent Samples]] ====
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@@ Line 138: / Line 138: @@
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-===Correlation and Regression===
+===Chapter IX: Correlation and Regression===
 ====[[AP_Statistics_Curriculum_2007_GLM_Corr |Correlation]] ====
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@@ Line 151: / Line 151: @@
 Overview TBD
-===Multinomial Experiments and Contingency Tables===
+===Chapter X: Multinomial Experiments and Contingency Tables===
 ====[[AP_Statistics_Curriculum_2007_Contingency_Fit |Multinomial Experiments: Goodness-of-Fit]] ====
 Overview TBD
@@ Line 158: / Line 158: @@
 Overview TBD
-===Statistical Process Control===
+===Chapter XI: Statistical Process Control===
 ====[[AP_Statistics_Curriculum_2007_Control_MeanVar |Control Charts for Variation and Mean]] ====
 Overview TBD

Difference between revisions of "AP Statistics Curriculum 2007"

Revision as of 16:06, 19 June 2007

Contents

This is an Outline of a General Advance-Placement (AP) Statistics Curriculum

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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