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| − | ==This is an Outline of a General Advance-Placement (AP) Statistics Curriculum==
| + | #REDIRECT [[Probability and statistics EBook]] |
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| − | ===Outline===
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| − | 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.
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| − | ===[[AP_Statistics_Curriculum_2007_Format| Format]]===
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| − | Follow the instructions in [[AP_Statistics_Curriculum_2007_Format| this page]] to expand, revise or improve the materials in this e-book.
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| − | ===Introduction to Statistics===
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| − | ====[[AP_Statistics_Curriculum_2007_IntroVar | The Nature of Data & Variation]]====
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| − | 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?
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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.
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| − | ====[[AP_Statistics_Curriculum_2007_IntroDesign | Design of Experiments]] ====
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| − | 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.)
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| − | ====[[AP_Statistics_Curriculum_2007_IntroTools |Statistics with Tools (Calculators and Computers)]]====
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| − | Overview TBD
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| − | ===Describing, Exploring, and Comparing Data===
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| − | ====[[AP_Statistics_Curriculum_2007_EDA_Freq |Summarizing data with Frequency Tables ]]====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_EDA_Pics |Pictures of Data]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_EDA_Center |Measures of Central Tendency]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_EDA_Var |Measures of Variation]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_EDA_Shape |Measures of Shape]]====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_EDA_Plots | Graphs & Exploratory Data Analysis]] ====
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| − | ===Probability===
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| − | ====[[AP_Statistics_Curriculum_2007_Prob_Basics |Fundamentals]]====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Prob_Rules |Addition & Multiplication Rules]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Prob_Simul |Probabilities Through Simulations]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Prob_Count |Counting]] ====
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| − | Overview TBD
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| − | ===Probability Distributions===
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| − | ====[[AP_Statistics_Curriculum_2007_Distrib_RV | Random Variables]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Distrib_Binomial |Bernoulli & Binomial Experiments]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Distrib_Dists |Geometric, HyperGeometric & Negative Binomial]]====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Distrib_Poisson |Poisson Distribution]]====
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| − | Overview TBD
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| − | ===Normal Probability Distributions===
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| − | ====[[AP_Statistics_Curriculum_2007_Normal_Std |The Standard Normal Distribution]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Normal_Prob |Nonstandard Normal Distribution: Finding Probabilities]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Normal_Critical |Nonstandard Normal Distributions: Finding Scores (critical values)]] ====
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| − | Overview TBD
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| − | ===Relations Between Distributions===
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| − | ====[[AP_Statistics_Curriculum_2007_Limits_CLT |The Central Limit Theorem]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Limits_LLN |Law of Large Numbers]]====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Limits_Norm2Bin |Normal Distribution as Approximation to Binomial Distribution]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Limits_Poisson2Bin |Poisson Approximation to Binomial Distribution]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Limits_Bin2HyperG |Binomial Approximation to HyperGeometric]]====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Limits_Norm2Poisson |Normal Approximation to Poisson]]====
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| − | Overview TBD
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| − | ===Estimates and Sample Sizes===
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| − | ====[[AP_Statistics_Curriculum_2007_Estim_L_Mean |Estimating a Population Mean: Large Samples]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Estim_S_Mean |Estimating a Population Mean: Small Samples]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Estim_Proportion |Estimating a Population Proportion]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Estim_Var |Estimating a Population Variance]]====
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| − | Overview TBD
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| − | ===Hypothesis Testing===
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| − | ====[[AP_Statistics_Curriculum_2007_Hypothesis_Basics |Fundamentals of Hypothesis Testing]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Hypothesis_L_Mean |Testing a Claim about a Mean: Large Samples]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Hypothesis_S_Mean |Testing a Claim about a Mean: Small Samples]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Hypothesis_Proportion |Testing a Claim about a Proportion]] ====
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| − | Overview TBD
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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
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| − | ===Inferences from Two Samples===
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| − | ====[[AP_Statistics_Curriculum_2007_Infer_2Means_Dep |Inferences about Two Means: Dependent Samples]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Infer_2Means_Indep |Inferences about Two Means: Independent and Large Samples]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Infer_BiVar |Comparing Two Variances]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Infer_2Means_S_Indep |Inferences about Two Means: Independent and Small Samples]]====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Infer_2Proportions |Inferences about Two Proportions]] ====
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| − | Overview TBD
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| − | ===Correlation and Regression===
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| − | ====[[AP_Statistics_Curriculum_2007_GLM_Corr |Correlation]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_GLM_Regress |Regression]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_GLM_Predict |Variation and Prediction Intervals]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_GLM_MultLin |Multiple Regression]] ====
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| − | Overview TBD
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| − | ===Multinomial Experiments and Contingency Tables===
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| − | ====[[AP_Statistics_Curriculum_2007_Contingency_Fit |Multinomial Experiments: Goodness-of-Fit]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Contingency_Indep |Contingency Tables: Independence and Homogeneity]]====
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| − | Overview TBD
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| − | ===Statistical Process Control===
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| − | ====[[AP_Statistics_Curriculum_2007_Control_MeanVar |Control Charts for Variation and Mean]] ====
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| − | Overview TBD
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| − | ====[[AP_Statistics_Curriculum_2007_Control_Attrib |Control Charts for Attributes]]====
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| − | Overview TBD
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| − | <hr>
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| − | * SOCR Home page: http://www.socr.ucla.edu
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| − | {{translate|pageName=http://wiki.stat.ucla.edu/socr/index.php?title=AP_Statistics_Curriculum_2007}}
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