Image represents the "Big Picture," in which Producing Data leads to Exploratory Data Analysis, the calculation of probability, and an inference from that probability.

Concepts in Statistics

 

Overview:

The Concepts of Statistics course is an introductory statistics course designed for students who may have a weak algebra background. Authors followed language and literacy guidelines provided by experts who work with students who have limited literacy skills or English language learners. For example, course content is rigorous and college- level, the expository text is written in active voice with shorter sentences.

Learner Goals:
Build statistical reasoning and conceptual understanding of basic statistical concepts, while developing the students’ procedural (and technological) competence with basic statistical processes.

Additional Course Details

Topics Covered:
Data production; graphical and numerical data summaries for quantitative data; examining relationships in quantitative data; examining relationships in categorical data; probability as it relates to statistical inference; and inference.
Estimated Time to Complete Course:
This course is designed to be equivalent to one semester of a college statistics course.
Additional Software or Materials Required:
To do the activities, you will need your own copy of Microsoft Excel, Minitab, the open source R software (free), TI calculator, or StatCrunch. Flash is required. More information is available in the course on the System Requirements page.
Maintenance Fee (per student):
$20 for academic students.

In-Depth Description

Including an introductory unit, which orients the student to OLI’s approach and offers some best practices, Concepts in Statistics includes 12 units.

UNIT 1: Introduction
UNIT 2: Types of Statistical Studies and Producing Data.
This unit contains three modules: Types of Statistical Studies, Collecting Data — Sampling, and Collecting Data — Conducting an Experiment
UNIT 3: Summarizing Data Graphically and Numerically.
Unit 3 includes four modules: Distributions for Quantitative Data, Measures of Center, Measures of Spread about the Median, and Quantifying Variability Relative to the Mean.
UNIT 4: Examining Relationships: Quantitative Data.
The fourth unit contains three modules: Scatterplots, Linear Relationships, and Correlation; Fitting a Line; and Assessing the Fit of a Line.
UNIT 5: Nonlinear Models.
Unit 5 contains one module: Exponential Relationships
UNIT 6: Relationships in Categorical Data with Intro to Probability.
In Unit 6 there also is one module: Two-Way Tables
UNIT 7: Probability and Probability Distributions.
Two modules are contained in this unit: Probability and Distributions, and Continuous Random Variables.
UNIT 8: Linking Probability to Statistical Inference.
This unit has three modules: Introduction to Inference, Distribution of Sample Proportions, and Introduction to Statistical Inference.
UNIT 9: Inference for One Proportion.
In Unit 9 students will find three modules: Estimating a Population Proportion, Hypothesis Testing, and Hypothesis Test for a Population Proportion.
UNIT 10: Inference for Two Proportions.
This unit also contains three modules: Distribution of Differences in Sample Proportions, Estimate the Difference between Population Proportions, and Hypothesis Test for a Difference in Population Proportions.
UNIT 11: Inference for Means.
Four modules are found in Unit 11: Distribution of Sample Means, Estimating a Population Mean, Hypothesis Test for a Population Mean, and Inference for a Difference between Population Means.
UNIT 12: Chi-Square Tests.
The final unit carries two modules: Chi-Square Test for One-Way Tables, and Chi-Square Tests for Two-Way Tables.