AP Statistics Curriculum 2007

From Socr

(Difference between revisions)
Jump to: navigation, search
 
(139 intermediate revisions not shown)
Line 1: Line 1:
-
==This is an Outline of a General Advance-Placement (AP) Statistics Curriculum==
+
#REDIRECT [[Probability and statistics EBook]]
-
 
+
-
===Outline===
+
-
Each topic discussed in the SOCR AP Curricumum should contain the following subsections:
+
-
* '''Motivation/Problem''': A real data set and fundamental challenge.
+
-
* '''Approach''': Models & strategies for solving the problem, data understanding & inference.
+
-
* '''Model Validation''': Checking/affirming underlying assumptions.
+
-
* '''Computational Resources''': Internet-based SOCR Tools (offline resources, e.g., tables).
+
-
* '''Examples''': computer simulations and real observed data.
+
-
* '''Hands-on activities''': Step-by-step practice problems.
+
-
 
+
-
===Introduction to Statistics===
+
-
====The Nature of Data & Variation====
+
-
====Uses and Abuses of Statistics ====
+
-
====Design of Experiments ====
+
-
====Statistics with Calculators and Computers====
+
-
+
-
===Describing, Exploring, and Comparing Data===
+
-
====Summarizing data with Frequency Tables ====
+
-
====Pictures of Data ====
+
-
====Measures of Central Tendency ====
+
-
====Measures of Variation ====
+
-
====Measures of Position ====
+
-
====Exploratory Data Analysis ====
+
-
+
-
===Probability===
+
-
====Fundamentals====
+
-
====Addition Rule ====
+
-
====Multiplication Rule ====
+
-
====Probabilities through Simulations ====
+
-
====Counting ====
+
-
+
-
===Probability Distributions===
+
-
====Random Variables ====
+
-
====Bernoulli & Binomial Experiments ====
+
-
====Geometric, HyperGeometric & Negative Binomial====
+
-
====Mean, Variance, and Standard Deviation for the Binomial Distribution ====
+
-
====Poisson Distribution====
+
-
+
-
===Normal Probability Distributions===
+
-
====The Standard Normal Distribution ====
+
-
====Nonstandard Normal Distribution: Finding Probabilities ====
+
-
====Nonstandard Normal Distributions: Finding Scores ====
+
-
 
+
-
===Relations Between Distributions===
+
-
====The Central Limit Theorem ====
+
-
====Law of Large Numbers===
+
-
====Normal Distribution as Approximation to Binomial Distribution ====
+
-
====Poisson Approximation to Binomial Distribution ====
+
-
====Binomial Approximation to HyperGeometric====
+
-
====Normal Approximation to Poisson====
+
-
+
-
===Estimates and Sample Sizes===
+
-
====Estimating a Population Mean: Large Samples ====
+
-
====Estimating a Population Mean: Small Samples ====
+
-
====Estimating a Population Proportion ====
+
-
====Estimating a Population Variance====
+
-
+
-
===Hypothesis Testing===
+
-
====Fundamentals of Hypothesis Testing ====
+
-
====Testing a Claim about a Mean: Large Samples ====
+
-
====Testing a Claim about a Mean: Small Samples ====
+
-
====Testing a Claim about a Proportion ====
+
-
====Testing a Claim about a Standard Deviation or Variance====
+
-
+
-
===Inferences from Two Samples===
+
-
====Inferences about Two Means: Dependent Samples ====
+
-
====Inferences about Two Means: Independent and Large Samples ====
+
-
====Comparing Two Variances ====
+
-
====Inferences about Two Means: Independent and Small Samples====
+
-
====Inferences about Two Proportions ====
+
-
+
-
===Correlation and Regression===
+
-
====Correlation ====
+
-
====Regression ====
+
-
====Variation and Prediction Intervals ====
+
-
====Multiple Regression ====
+
-
+
-
===Multinomial Experiments and Contingency Tables===
+
-
====Multinomial Experiments: Goodness-of-Fit ====
+
-
====Contingency Tables: Independence and Homogeneity====
+
-
+
-
===Statistical Process Control===
+
-
====Control Charts for Variation and Mean ====
+
-
====Control Charts for Attributes====
+

Current revision as of 02:53, 8 November 2008

  1. REDIRECT Probability and statistics EBook
Personal tools