Statistical Inference & Techniques

  • This presentation on data analysis addresses observational studies and randomized controlled trials in two different sections. Types of studies are defined and examples of each study is given to emphasize the differences. Factors and variables are also discussed.

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  • This site lists definitions of key terms related to experimental design and ANOVA, including factorial, blocking, interaction, and others. This site is part of the "Statistics Glossary" for the STEPS project (STatistical Education through Problem Solving).
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  • This applet simulates finding confidence intervals for the mean of a normal random variable. A sample of size 20 is generated from a standard normal random variable. The blue marks represent the sample data. The sample mean X and sample standard deviation s are found and used to calculate the confidence interval. The black intervals are the confidence intervals which include the true mean 0, and the red intervals are those which exclude 0. This applet needs to be resized for optimal viewing.
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  • This web-based package does a very complete range of statistical calculations designed to be user friendly. Formerly known as WebStat, it provides statistical calculation functions that would be done in most introductory statistics courses. Notable examples include being able to create histograms, pie charts and boxplots, calculation of summary statistics and confidence intervals, and performing hypothesis tests. It allows data to be entered in a spreadsheet style data window or opened from a file. Cost for students and professionals is $13 for 6 months and $23 for 12 months (instructors have complimentary access), and it does require a login. Key Word: Calculator.

     

    Stat Crunch's Available Features:  https://www.statcrunch.com/assets/documents/StatCrunch%20Statistical%20Procedures.pdf 

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  • This page gives a short background on Student's t-test and provides three t-test calculators. Two perform t-tests for independent groups and one performs t-tests for matched pairs. Users type in individual data points or copy and paste the entire data set. Some examples are given for demonstration.
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  • Textbook-like example showing the independent t-test. Gives a nice way for students to think through the problem and interpret results.
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  • Gives very detailed explanation of t-tests (confidence intervals, one-sample, two sample independent, two sample paired, pooled and unpooled variances). Discusses the assumptions that are made for each type of t-test. This topic is part of an online textbook.
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  • Gives a basic explanation with diagrams of the one and two-tailed t-tests.
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  • Gives four practice problems on the t-test. Gives both the data sets and the mean and standard deviations if you did not want to compute them. Requires students to interpret and reason through some of their answers.
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  • This applet demonstrates the partitioning of sums of squares in analysis of variance (ANOVA). It includes some sample values and allows the user to make adjustments, which then shows the new values in the ANOVA table. Also contains an exercise set.

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