AP Statistics Curriculum 2007

From Socr

(Difference between revisions)

Revision as of 00:27, 17 June 2007

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

Outline

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.

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

Overview TBD

Statistics with Tools (Calculators and Computers)

Overview TBD

Multinomial Experiments and Contingency Tables

Multinomial Experiments: Goodness-of-Fit

Overview TBD

Contingency Tables: Independence and Homogeneity

Overview TBD

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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 ====[[AP_Statistics_Curriculum_2007_IntroUses |Uses and Abuses of Statistics]] ====
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+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]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_IntroTools |Statistics with Tools (Calculators and Computers)]]====
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+Overview TBD
 ===Describing, Exploring, and Comparing Data===
 ====[[AP_Statistics_Curriculum_2007_EDA_Freq |Summarizing data with Frequency Tables ]]====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_EDA_Pics |Pictures of Data]] ====
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 ====[[AP_Statistics_Curriculum_2007_EDA_Center |Measures of Central Tendency]] ====
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 ====[[AP_Statistics_Curriculum_2007_EDA_Var |Measures of Variation]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_EDA_Shape |Measures of Shape]]====
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 ====[[AP_Statistics_Curriculum_2007_EDA_Plots | Graphs & Exploratory Data Analysis]] ====
@@ Line 40: / Line 40: @@
 ===Probability===
 ====[[AP_Statistics_Curriculum_2007_Prob_Basics |Fundamentals]]====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Prob_Rules |Addition & Multiplication Rules]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Prob_Simul |Probabilities Through Simulations]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Prob_Count |Counting]] ====
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+Overview TBD
 ===Probability Distributions===
 ====[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Distrib_Binomial |Bernoulli & Binomial Experiments]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Distrib_Dists |Geometric, HyperGeometric & Negative Binomial]]====
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 ====[[AP_Statistics_Curriculum_2007_Distrib_Poisson |Poisson Distribution]]====
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+Overview TBD
 ===Normal Probability Distributions===
 ====[[AP_Statistics_Curriculum_2007_Normal_Std |The Standard Normal Distribution]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Normal_Prob |Nonstandard Normal Distribution: Finding Probabilities]] ====
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 ====[[AP_Statistics_Curriculum_2007_Normal_Critical |Nonstandard Normal Distributions: Finding Scores (critical values)]] ====
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+Overview TBD
 ===Relations Between Distributions===
 ====[[AP_Statistics_Curriculum_2007_Limits_CLT |The Central Limit Theorem]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Limits_LLN |Law of Large Numbers]]====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Limits_Norm2Bin |Normal Distribution as Approximation to Binomial Distribution]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Limits_Poisson2Bin |Poisson Approximation to Binomial Distribution]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Limits_Bin2HyperG |Binomial Approximation to HyperGeometric]]====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Limits_Norm2Poisson |Normal Approximation to Poisson]]====
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+Overview TBD
 ===Estimates and Sample Sizes===
 ====[[AP_Statistics_Curriculum_2007_Estim_L_Mean |Estimating a Population Mean: Large Samples]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Estim_S_Mean |Estimating a Population Mean: Small Samples]] ====
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 ====[[AP_Statistics_Curriculum_2007_Estim_Proportion |Estimating a Population Proportion]] ====
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 ====[[AP_Statistics_Curriculum_2007_Estim_Var |Estimating a Population Variance]]====
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 ===Hypothesis Testing===
 ====[[AP_Statistics_Curriculum_2007_Hypothesis_Basics |Fundamentals of Hypothesis Testing]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Hypothesis_L_Mean |Testing a Claim about a Mean: Large Samples]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Hypothesis_S_Mean |Testing a Claim about a Mean: Small Samples]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Hypothesis_Proportion |Testing a Claim about a Proportion]] ====
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 ====[[AP_Statistics_Curriculum_2007_Hypothesis_Var |Testing a Claim about a Standard Deviation or Variance]]====
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+Overview TBD
 ===Inferences from Two Samples===
 ====[[AP_Statistics_Curriculum_2007_Infer_2Means_Dep |Inferences about Two Means: Dependent Samples]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Infer_2Means_Indep |Inferences about Two Means: Independent and Large Samples]] ====
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 ====[[AP_Statistics_Curriculum_2007_Infer_BiVar |Comparing Two Variances]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Infer_2Means_S_Indep |Inferences about Two Means: Independent and Small Samples]]====
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 ====[[AP_Statistics_Curriculum_2007_Infer_2Proportions |Inferences about Two Proportions]] ====
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+Overview TBD
 ===Correlation and Regression===
 ====[[AP_Statistics_Curriculum_2007_GLM_Corr |Correlation]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_GLM_Regress |Regression]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_GLM_Predict |Variation and Prediction Intervals]] ====
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+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_GLM_MultLin |Multiple Regression]] ====
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+Overview TBD
 ===Multinomial Experiments and Contingency Tables===
 ====[[AP_Statistics_Curriculum_2007_Contingency_Fit |Multinomial Experiments: Goodness-of-Fit]] ====
-TBD
+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Contingency_Indep |Contingency Tables: Independence and Homogeneity]]====
-TBD
+Overview TBD
 ===Statistical Process Control===
 ====[[AP_Statistics_Curriculum_2007_Control_MeanVar |Control Charts for Variation and Mean]] ====
-TBD
+Overview TBD
 ====[[AP_Statistics_Curriculum_2007_Control_Attrib |Control Charts for Attributes]]====
-TBD
+Overview TBD
 <hr>

AP Statistics Curriculum 2007

From Socr

Revision as of 00:27, 17 June 2007

Contents

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

Outline

Introduction to Statistics

Describing, Exploring, and Comparing Data

Probability

Probability Distributions

Normal Probability Distributions

Relations Between Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences from Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Statistical Process Control

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