ALEKS for Statistics User's Guide with One

ALEKS (Assessment and LEarning in Knowledge Spaces) is an artificial intelligence-based system for individualized learning, available over the World Wide Web. ALEKS delivers precise, qualitative diagnostic assessments of students' knowledge, guides them in the selection of appropriate new study material, and records their progress toward mastery of curricular goals in robust classroom management system.It interacts with the student much as a skilled human tutor would, moving between explanation and practice as needed, correcting and analyzing errors, defining terms and changing topics on request. By sophisticated modeling of a student’s "knowledge state" for a given subject matter, ALEKS can focus clearly on what the student is most ready to learn next, building a learning momentum that fuels success.ALEKS for Statistics covers the topics covered in most one-semester introductory statistics courses, including the basics of descriptive statistics, probability, frequency distributions, confidence intervals, hypothesis testing, ANOVA, and correlation and regression.

Raw Data and Frequency Distributions

Histograms and Frequency Polygons

Sigma Notation

Mean

Median and Other Quartiles

Mode(s)

Variance and Standard Deviation

Elementary Probability Theory

Conditional Probability and Bayes' Theorem

Independence, Exclusiveness, Basic Set Theory

Random Variables

Combinatorics

Binomial Distribution

Normal Distribution

Normal Approximation to the Binomial Distribution

Sampling Theory

Statistical Estimation Theory (unbiased estimates)

Statistical Decision Theory (statistical hypotheses)

Confidence Intervals for Means, Proportions, and Differences of Means and Proportions (large samples, z-distribution)

Hypothesis Testing for Means, Proportions, and Differences of Means and Proportions (large samples, z-distribution)

The t-Distribution

Confidence Intervals for Means and Differences of Means (small samples, t-distribution)

Hypothesis Testing for Means and Differences of Means (small samples, t-distribution)

The Chi-Square Distribution

Confidence Intervals for Variances (small samples, chi-square distribution)

Hypothesis Testing for Variences (small samples, chi-square distribution)

Contingency Tables

The F-distribution

Confidence Intervals for Differences of Variances (small samples, F-distribution)

Hypothesis Testing for Differences of Variances (small samples, F-distribution)

Analysis of Variance (ANOVA)

Curve Fitting, Least Squares (linear model)

Linear Regression and Correlation

Nonparametric Tests (the Sign Test and Mann Whitney U-Test)

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ALEKS for Statistics User's Guide with One Semester Access Code (stand-alone)

Summary

Table of Contents

Supplemental Materials